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Last active October 8, 2023 12:55
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B.P. Lathi Modern Digital and Analog Communications Matlab exercises in Python with NumPy and SciPy
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"source": "import numpy as np\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nsns.set()\n\nfrom numpy import pi\nfrom numpy.fft import fft, fftshift, ifft\nfrom numpy import sin, cos, sqrt\n\n%matplotlib inline\n# np.set_printoptions(precision=4)",
"execution_count": 1,
"outputs": []
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"source": "# Chapter 2 . 8 \n\n- ustep implements the unit step function $u(t)$\n- rect imimplements the standard rectangular function $rect(t)$\n- triangl implements standard triangle function $\\Delta(t)$ \n\nWe now show how to generate a simple signal plot through an example.\nIn this example, we construct and plot a signal\n$$y(t) = exp(-t)sin(6\\pi t)u(t+1)$$\nThe resulting graph is shown in _fig2.1_\n\n![fig2.1](data:image/png;base64,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)\n_fig.2.1_"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def ustep(t):\n \"\"\"\n The unit step function is a function of time 't'\n Usage y = ustep(t)\n \n ustep(t) = 0, if t < 0\n ustep(t) = 1, if t >= 1\n \n t - must be real-valued and can be a vector or a matrix\n\n \"\"\"\n t = np.array(t)\n return (t >= 0) * 1 # multiply by 1 to get int value of boolean",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def rect(t):\n \"\"\"\n The rectangular function is a function of time 't'\n Usage y = rect(t)\n \n rect(t) = 0, if |t| < 0.5\n rect(t) = 1, if |t| > 0.5\n \n t - must be real-valued and can be a vector or a matrix\n \n \"\"\"\n t = np.array(t)\n return ((np.sign(t + 0.5) - np.sign(t - 0.5)) > 0) * 1\n # multiply by 1 to get int value of boolean",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def triangl(t):\n \"\"\"\n The triangle function is a function of time 't'\n Usage y = triangl(t)\n \n triangl(t) = 1-|t|, if |t| < 1\n triangl(t) = 0, if |t| > 1\n \n t - must be real-valued and can be a vector or a matrix\n \n \"\"\"\n t = np.array(t)\n return (1 - np.absolute(t)) * (t >= -1) * (t < 1)",
"execution_count": 4,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "<a id='fig_1'></a>"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "t = np.arange(-2, 3, 0.1)\ny = np.exp(-t) * sin(10 * pi * t) * ustep(t + 1)\n\nplt.plot(t, y)\nplt.xlabel(r'$t$')\nplt.ylabel(r'$y(t)$')\nplt.title(r'$y_{rm}$ time domain')\nplt.show()",
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Periodic Signals and Signal Power\nPeriodic signals can be generated by first determining the signal values in one period before repeating the same signal vector multiple times.\nIn the following script, we generate a periodic signal and observe its behavior over $2M$ periods. The period of this example is $T=6$. The script also evaluates the average signal power which is stored as a variable $y\\_power$ and signal energy in one period which is stored in variable $y\\_energyT$. \n\nThe script generates a periodic signal as shown in Fig. 2.2 and numerical answers:\ny_power = 0.0813\ny_energyT = 0.4878\n\n![fig2.2](data:image/png;base64,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)\n_fig.2.2_"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# This example generates a periodic signal, plots and signal\n# and evaluates the average signal power in y_power and signal\n# energy in 1 period T\n\n# To generate a periodic signal g_T(), we can first decide the signal\n# within the period of 'T' for g(t)\n\nDt = 0.002 # time interval (to sample the signal)\nT = 6 # period=T\nM = 3 # to generate 2M periods of the signal\nt = np.arange(0, T - Dt, Dt) # \"t\" goes for one period [0,T] in Dt increment\n# Then evaluate the signal over the range of \"T\"\ny = np.exp(-np.absolute(t) / 2) * \\\n sin(2 * pi * t) * \\\n (ustep(t) - ustep(t - 4))\n\n# Multiple periods can now be generated\ntime = []\ny_periodic = []\n\nfor i in range(-M, M - 1):\n time = np.append(time, (i * T + t))\n y_periodic = np.append(y_periodic, y)\n\nplt.plot(time, y_periodic)\nplt.show()\n\n# Compute average power\ny_power = np.multiply(\n np.sum(np.multiply(y_periodic, np.transpose(y_periodic))),\n Dt / (max(time) - min(time)))\nprint('y_power = %.4f' % y_power)\n\n# Compute signal energy in 1 period T\ny_energyT = np.multiply(sum(y * np.conj(y)), Dt)\nprint('y_energyT = %.4f' % y_energyT)",
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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e9N2xr5QMCpxydh4dNbxAFDnNzhEGTsULRJhnkSUDy0l6fmmZUsMQz37BpSHfAKgzvN1BmHOB73Pe2ExDECk0cnXF1IcltCiGJZOiQRwgn815bBSXczh9VJ3hEYTjAkXmLJLD5pFJiszZsp2QzJsdII/M7QI/z3ljIw1BQhrK8Aj8h6VRVwr/sMB8dQT+rqlRUzbC+EnhDJoZHkGjrhR6gQiyhqTZdQSDsRlISIW+z7aDR3X23B6bNOpuu41RgZ/nvLGRhsCJSUNZjar8HcTBdqPQC0Q4QC5L2ZlSPuf9nc3gPE8rEd8jONhuFHtRPEem1HBs0WqoNAtu/Gwn5N3PCJAPxyYHXhvyInPOGxtpCCyRNJQycXwvYH+77sULill1GiyK0vSBmcm5XS/0w3KeYPF4YiFJsLNVYzQprnYsrKbO4NysKzTqCiOjuJxt255bGhpPrOBgoiLf57yxkYbAjklDqiylthUwDHdCbW/VsWynsJ0NrbgXpKRznnhVpjtbtUK7z9P7PFsyGBsWdVWhWVeLLQFaoZz6GVlDhmlRU2WXc8ENfnhew9QzimNi2tRrsmv8Csw5b2ykIQjvFMGXhmYsiq0aUNygWrx2IitTyggMQb3QuyYrKK6SZ6YVTgx3USz6AmHZtif9zS4cnJg2dVUpfizIdkLxvmxpyDAtaopMs1bsmF/e2EhDEK6+BHcXkRZEnJjuZNnZcg1BURfGRKZURlzEb7ew3aoxMezCNmFzbIFenrJATAzb3R0XfIGwI7vj7BiBYXqc60qxPT8n+ixDOmfXI1AKnxSQNxYyBJqmvVnTtM9qmvaopmk/mHHdGzRN++Iin3UenKeyOLw7huIGmOJymJsym85ZVSRaDfc4iqIujCK9PHWBMCzqnkdQ1HsMvkzi/jwrLjLxpKFGbRM4Tz1dSM+UCoxfwb2gvHFhQ6Bp2n3AjwGvBB4E3qpp2gsE190N/AR4R0jlAGH6aOoCMdXLobgpZ0I5LHWBsKmpCo2ae/uLagjCMYJZmVJjw/I4F3uB8Nurw+wqW8OwN8L4RbygGZlSvsGvFzwdPG8s4hG8Dviwrut3dF3vA+8F3ii47meBf7zA55wb8cpiOStY7O0stpru7tgsaLteIeeUgJphugtETVWC10WEf0vniQUZXhCxrspYtlNYOSyql0vBeyIYlk2tplBT5WCeFxG27QTZcLKc7fkZlhsXqatyYef1KrCIIbgO3Ay9vgncCF+gadr/APwh8F8W+JxzI1lZnK6XG6abVtisq97rYk6e8O4YfI8gnXNNlampsve6mJzDh7S4/0+XAMeGG0QMOBd0YbQEMYI0CXBi+Aa/2Iui7SQri0WGwHEcDMNGVWVqSrE5541FziyWgfDdkIDgm9c07YXAdwCvJWYgzoOrV7fP/W+eOnOP5js42KLT2WGrWWcwsuh0dhLXqjWVRk3hbu93za2G8LrzYNF/fxG0t4/dz762Q+dam0ZdRVEV4VgkRabVrHHtatv9tzvN1DGvgsu8aLXcuM5dd+2iKjKqKlNvqMIxTwyLnXadg/0tAHb3toJ88yLBsh1qqkyns0Pbq5ZutepCzpbtsLvTpFlXMCx7Le/lPGNSFJlG3b2vA9NdctrbyefUMC0c4GCvxXF/wp3eOFfO6/j9zotFDMETwKtCr+8Bngy9fhNwL/AJoA5c1zTtY7quh//NTBwd9c7txt+545661T0bcnjYxTItxhOTw8PkCWSnZyNURabXdQ+0uH2nJ7xuXnQ6Owv9+4vi5NQd/8lJH9WxcRyH4cgQjqXXnyBLMBy4BvPWYZe9hpK4blVc5kXXO4v36KiHLEnIkstNNOaJYYHtMB65nUdvPnXKeLeZ63gvA/6zcHjYDbK/Tr15HsdoYmIZFqYEk4nFrVtnQRfPdcC882s0NrFsm8PDLqenAwCOjweJf+s3jTTGBrZpMxyJn/llYF2eFVmWLrR5XsQQfAj4UU3TOkAfd/f/Vv+Xuq7/CPAjAJqmPRP46HmNwEVhh/LLwU8fTc+sqNeKL5OIiuiyTuuqe+4zFJezZTtIUrynVBpnVyap+3GRwkpDdqS9uvtedlykpso43nV+Z9oiIRwjyEqZ9WuCajWFeq2Shs6DC8cIdF3/CvA24CPAI8BDuq4/rGna+zVNe+llDfAiiKePusHirHQzpfiB01hcRJ4ROK2pMvWay3lSYM4+X3C5p3mPYyMWFzGKyTkcI/ANgoizZduujKS4AXKYZsgVDVY4RiClGz9/HvubnKLO61VgEY8AXdcfAh6Kvfd6wXWPAc9c5LPOg2kqpft6Vvqou1Ms/u4Y5q+m3tmqBx5BYTOlQhk04AWLM9MKlY0IFvvGz68uFi6Khr87Ln6A3LYd5NpsL8jwpLKaKlOrPIJzYTMri737Hy5LTy0os+zITrGou4jwmcXgutCzPIJazedczHzrcDYJzJIAPS8o2B0XlLMd45xSL+Iv+hHjV2DOidoJgVHzOdc8CdC07NQU6gpRbKYhELSYSF0UPb1c8Q65N4q6KIbOsoXsgjLDtCJ6eVGNnyWQhkQLhOM4Qa+hTZAAI15QSvsUX/qqbcB9FvYayvCCIsavoJzzxkYaAj+/fJ7zCPwqW0mSqKtKYSdOMqd+Buda8R+W8Fm2kC4N+S2LNyEpwEp4BGLOvpdXVzeAs5PsPiqUhsyp8Ss657yxkYbA8aWheStOvUlTU7MDTMfdMe/6lc9weDK83AFfAs5TZTsx7bkXiCcOe7zrV/9oLc82Dp9lC+kV5EE2SWinmHWfP/elY37mfZ9N7Xm/SsQD5GmcjRDneeJfv/+5W/zib35+Lc/jiLaYyAoWe8ZvToP/W3/wBO/7ndxaoK01NtIQBM3I5okReNoxMLMC8/975Ct8Qj/ktz/1ZOo1q0Ki0V5GjMA07bl3Te/7ncf4xOdu8Yf64SWPeHEkdscpEmB4pzjPoviLv/l5fu+Pn0J//OSSR7w4wumjkBEjEO6O02XPn/rVP+K3/uAJbh2v4SZn3hiBz1kJ32cxZ9Oy+cXf/Dy/8rEvFroP02VhIw1BvO+OvzsW7XZM20ZV5jMETxy6hWpP3u5f9pAXhmU7SMw+p9l2HC+fXHbPvVWkzGDx08duAc/jt3pLGfciiOvlabUT/s5eVaS5FsUnj9z7+8Qack5KQ2IJ0OdcU6QgLpLmBY0NK2gRsI732QqdWSxJ7lGsIoPvz3c1FAtK4xz26v37XWZspCFIpFJmnGpkWtMim7oqZ2aTHHfdStY7XguLdYITz6BJWSCCh8XjXFOVzJz6k55biXt0NrrM4V4K4tJQmhw25Tx7gTBMC3+arCXneIA8xfPzs6cUZbYXdNKdzud15JyY2ymeX2Dw5dne7nGY8+n6cc4bG2kIkucRpPdttyw7qFac1aXxuOtOmDvd9Zs4SZkkO3DqZ19kcTYtm27fNQThB2ddkEilTDmDYeoRzLFAeIYP4HgNDX54dwzpJ9FZ5+EcurfreJ/F2WHpxi/q+c3mfGcNOeeNjTYE4a6UIA4wmdZ0kmXtji3b5tRbFLsDY+0CiYlFURIHEYP4ScQLEnO5czYKJIOT3vo9LPEFQk7h7J9DrciuFCaR7hGEd8frylmWp49tWgV5mPM0QC72do97683ZjnFOqyAPNjnhauo0zmt+n/PGRhoC0cE04ffDMK1pjKCesTvuD00cB+696nav7I/W60hLK9SPBdKLq8K7Y8j2CE69B+Teq1v0hubaZZQk0kfTJAN7GiOQJIlaTU6tpj7zjL3LeQ0zpaz55DBxXETMubvmnONe0CzZU5GlaU+ptPs8mNCsK+xv19eSc97YSEPgxIPFKbnHThA49T2C9N3xYOwu/J39FsDaTZ5ElW2a+xzoqFPOaRWnfY9jZ7+Fadlr16tG1GtIFCwOFgjf+Cly6k4xfJ/X7R6De5/DDUTTztoIx0VmLYo+52t768qZc0uA6gzjNxyZbDVV2q1aMM/LjI00BFZCGhKnnE1lktm742HMEKzb5Enq5bMXCMjm7Hs9Aec1qyWwEsYvOy4SMX5pC0ToPg9G5tq1KLBsO2b8xKnRU5lEQlXd67MMQbOusLNVoz9cL08X0gx+NudZXtBgbNJqqGw3K0MAG2oIEge5p8QIEhk0SrpkEOwU99we9us2eZIBNRnHSWZKmbEYQSbnkEcAa+gF2dOD3CFdGvLfCxu/tBiPbwiu7jZxgMG6SYCWKDssm7Miuy1UsjY5W02V7VaN3poZe/CloTky4rxnQJakaYv1DM6ths95ve7xKrCZhsDx++64r9POdg204zkyaIax3fG6PTBO7GGRUzhbiRiBModHsJ7Gz47HRWbq5SHOc+yOYf28oHlTZuOc1UwvyKLVUGk3VcYTa+0SIeLpo2nV1JblTDc4s6ShscVWQ6XdUtduXq8CG2kI/J1B0IDNmxxxXdGMeQTZD4unowbS0HrtIlyZZPpaDeSwbM5ZMol/4tNV7ySvdds5iTtxZsUIpl5Q1n1uNVztGNbPC5p3dxzOGgKP84zdsc95nRZGP46XkMPSEj9CmzpIb7EecG7W1u4erwIbaQhECwQIYgShdDOYsSh6huBgpwG4xwCuE0QpdkBikTDPwbk/NGjWFbaa7rEVo/F6cbYSu+MZMYI54iIDL4jYqrsB1tGatR9ISEMp9SKWLeCcavBNthoqrbp3n9eIs69szlVQFk78mHH63mDscm42VCzbKX1zuoUOptE07c3A24Ea8A5d198Z+/23A/8Y92D7LwLfp+v68SKfOQ+SuyZxjCCcYgeeXm655/3Gz3b1PYKthkqjrqzVwwLiilNIekFWPHCasVPsjwx3UWy402S4dpxBmqvi1POC5gwWtxpTzqPxmnEWSUPCwGnMC1LTY0HDscm9V7doeudWD9dokxO0i5mzlYg/72VZSo2LOI4zvc+BwTepqfVlUCgELuwRaJp2H/BjwCuBB4G3apr2gtDvd4H/B3iDrusvAj4N/OhCo50TogNLQGQIkkFE9/3k5PG1Y1mWaNaVwDCsC0S51iCQhgSB06ydYquh0gw9LOsEYYxAWHE6vxfka8frytmyHIHxS1kUvcApzPZ23fu8fsYvngHo/yxuJWJHzmRO4zwx3WM8Ww0l4Lxum5y8sYg09Drgw7qu39F1vQ+8F3hj6Pc14Ae9s43BNQT3L/B5c0OUbua/H0ay3UJ6vrW/gwBo1dW19AhEclga53kMQX9o0GqoKF7vlnXjLGrAZjvJ5oKi7LBZenmzsX4yCYBt2wnjNytwCumcw7vj5hrKYfF2MZDVPsUJ5jWkz+2wd9/yvKB1kz3zxiKG4DpwM/T6JnDDf6Hr+pGu678CoGlaC/iHwK8u8Hlzw07dHafVEczONBhPrOBBadaVTPd5NDF56EOf5ys5dimN6+X+gxPfLVqxIKKaETgdTcyAc6uuZD4sJ70xD33o89zJsWmZqIgO0iXASH+lNM6Ge599ySDL83vydp9/9+FHc80sEhm/tOIqJRQzSkuEsGw3GNusKyEJMJ3zF5445T/89p/mpqnHuwRAVluNaI1F2n3220436yEvKMP4PfKF2/z67z22dpX1l4lFYgQyEP5mJCDxrWuatgf8CvApXdf/zXk/5OrV7XMPrN6ooaoKnc4OALd77oO6vdMK3gM49BqMXb3SptPZ4cq+2z5iZ2+LzpWtyN90JIn2Vp1OZ4fd7QaGaUf+Vhif+dIJH/rEE9y8M+THf/CV5x7/RaCqCvW6E4zpYP8UgN29rcg4W4+773c623Q6O+zvNrFshytXtyMPEbgPx7V99ztrt+o4kpzK+dc//mU+9IknUFSFH3rTg8ugmIAkSWy16sGYdnfdjK6DK+3gAQdoNN1smHvu2aVRU9jZbmDbjpCLYVrs77a49549VEVCDs2jOH7uA5/jdz71JHdf2+ZNr33+ZdMTwrYdttuNYEztdgPHITHGWl2lXpver3arxsRIztnewHsGDra479694N+mcf7Hv/D7fOmpLl/1rGt884tvCK85D9I+x0fda3Oyt9sMrm01a4wMK/FvFVWh2ZiOvVlXkdXknO1O3GWqc63NFS8jrhGaR2E4jsM7//lHsGyHl3/tdV7wrKsX5rLOWMQQPAG8KvT6HiByYouDX+oTAAAgAElEQVSmafcC/wn4MPB3L/IhR0c9oeubhf5gjITD4WEXgG7X7T1+dNwP3gO47fUh73dHHB52GQ7dSff0rTNkK7pD6PUnyMDhYRdFgjv9SeRv+eh0dnjkc7cA+NMnTrh16ywReF4GRiMD255yHvRdLrdv92iG/L5j73yBs9MhhxJMvN3fzadOadSUyN8cTywcy/2bNUXi5Gwo5AzwR1+4Hfw/7ZrLhmFYGIYZfN5o6C5qTz/dDTKdAM48L+XkTh9ZljANi9HESozTcRxGEwvLNLl9u0ejpnDnZJDKR3/sDgCf/NwtXvN19146PxEs22E8NoIxGWMTw7QTY+z2x8iSFLzv2A6DoZG4zm++Nhkb9L3n5PCoL+Rs2TaPP+2eV/CJzz7FC56xtxCXTmdn5lzxG8INBtPnzTItxmMz8W8HwwmOM30GJMl9buPXPX3Lmy+DCUNPBXj6sMvhtejmD9zGi7738fBnnqSzLQ4oz8MlD8iydKHN8yKG4EPAj2qa1gH6wHcAb/V/qWmaArwP+Pe6rv/TBT7n3EieZSsOnCaKq5T0GMHEtII862ZdzQwi+gfXjCYWJ71JkHK6TKTFRRIySTytMJRmlzAEhkWj5v6+2ciOi/gy2FN3Bl4bhOVnJoty6t33Yymzto0sTeWytPRR03JwHILePK2GyjAlcDqamNz2+tjfzPFgkwTn1FYiAplEwNk/f6NeU2jUFCTSA6e3jodBFs/NnGTPc8cIQvMurV5kbE45z5IAw4dQ3TwaXIBBMXDhp9ULAr8N+AjwCPCQrusPa5r2fk3TXgr8JeDFwBs1TXvE++9nL2XUMyDqX+6+H18g5o8RTAybhrdANBvp6aOO4/DUnQE3Om0gv0XCdkh04oTpwu8jUVw1Iy5Sr82Oi/SGBr2hwY1OG8t2uH2ST5wgmR2W3kokHkQUpVJOQgsEuJzTDP7Td9zd841Om6PTUeaJZ5eF+Ml7kN5ryD+FzoerlyfHOPYNgaogSZI7t1MWxae8hfBGp83NO/ksivF2MZBxBoMtyhpKcp4aP3lmjMDneaPT3mhDsFAdga7rDwEPxd57vffjJ1hRwVq8W+H87RYyFkXDou7vjjMWiOHYZGxYPPfGPk8c9nM7zcyyHZrn4RyrwIzvFh3HiXBuNVSeSnn4ffd9ynnE3VeSbvZlY/7sMCfoRgnuTtGynUSmld9ddXqf072g036U83F3zF0Hy+Us2h2ntVsIn7wH6btj/1yGxhycw/f5o5/8SuS872XBcpLpo1lnMCjNqPEbCzrrBvdZVWZmSp32JiiyxDPv2eUzXzy6OJE1x8ZWFouKq9LrCKK7Y1EdwcS0g51iq65iWuJqRP9gkwfudnW645wOvUimj3qcU+sIYpxjXPyF0pdJmhlZQ/6BPc+8xw2W5cVZlEEDglYioXOpId34+TvFqOeXwrkX45zDKVeinHpVlnAQpwkrcS9IsIsOS0OQ7fmd9idIwP13uXP7NIf7LJSGUs8jiN1nRcY0szjLyLJEo5ZeF3TaH7O3Xedgp8FZfyL83E3AxhqCuCsJGWmFAr08jolhBRp6VrGRvyBc22/RbqqRE6+WCVHFKWRVU2dzFi0QabumM29RfOBud1E8CR33uEw4TkqMQNBKJLxApPWqHyc4Z3kEUc55GD+RTDItlhRxnqO46lxe0ISdrRpXvQ68edzn89cRzBEXCbyg2XP7tD9hr+0aAseZbgA2DZtpCNLyy1PqCMKtB0Ask0wMO/KwgDio5p9r7E+evM6AjRu/tAXCtNyDTeQZnMeCBcKtyEw+WP6ieNdBi1ZDzY1zIhaU4flFpKEUQ5CUSbJ2ihO2GmrQjfakm8OimBIjABK7/UTgNC2nPhQjgBmeX2/CbrvBwbab/JCH8RPVEWSdR6AkOGfFCGbHgs56E/baDfZ38uO8CmykIUhbIJLdR+eLEVi2g+1EZRKYFqaE4R94vteus7/dWJlMoqZIQwn3OW1RjMskGZxP+2Pqqhwc/ZebF5TaXDB5n2sxvRzSpaHwAiHSmMHbKW7XaTUU6jV5ZdJQVnZYPEZgO07CkIdlEvAWxRmcg0UxB862IEaQdQbDPF6Qf0/9uT/LC9pt1wPjl9fczhsbaQhsO9qPxd9NiIKIkNTLZ8okjSxpaIQiS7RbNXa26vQG+VSdxuMicqo0FH1Y5pdJ0oNq/sMiSRK7W3W6ObX1jadSBgFyQYuJ+YyfWCYRVZSe9cbshTj3hquRSdKSAkzLicUIxKnRSZlETe01dNZ3OW81VWRJyoVz4BGEDyDKqCyOxgjE505MTJu6KgdzJ00asm2Hs4ErDfnnU+Q1t/PGxhqC+EHuIEorTLYeANGiGFsgaq40JNodn/UntFs1ZEliZyu/Xue2k1I7IdgpKrFca5hHJklPs+sNjOBB2c6Zc9QLSvcI4oFTSAbIg/TRkBfkONPvIozu0GDbqyvZbtVyWSCmMYLpe1lzO15HAPNtctK8IJ+zLElst9RcNjmON9x5jmE1LSfBOa12oh6qmWnUFeGzPBibOI47p/35ndfGLm9spCFInmUrjhGEzziF2ZJBXCYRLYr9oUHbq2rd2aoxNqzg3y8TSTksPYioKIIFIlZJHV8gGhmcB2OTLa+Nw06rRneQj17uOGkySbJepDaHR+AvBmGZBObgvFWnm8MCkZZBA6K5PZ8XlJBJamK93LRsJoYdzO3tnDj79zLaaE98DKsoKcAw7YRHF06LhvQYgX8wU7upUlMVGnUlF86rwEYaglTtOEUaChqwzZRJZi8Q/aHBlte8azvHU67m18uT1ZcwWyZpBTEC0QNjTjlv1ekNjaUf+i7eHaefwRCvIwASgUR/5x+Xw0Sch94BNuDe5zx2iqKcejXjrI2IBOj9nNjkCGQS03ISKdT+wUwRg5+nFzTn3I5vchwn+d1MDDvw+sCTwwSbtYBzY8o5DzlsFdhIQxDfHUuSJNQV/YCaL6nIkoSqSDN11EZG+mh/ZNAKFgi3L0kuu8WEFzTfAjG/TJIuDQ3G00Vxp1XDcZZ/6LsjzKDJMH4Rzp5enub5+fe5JuZsmDYT0w6MX14SYFb6aML42XPGCGIySdp99s/snhr8nDinnFAGUc/PdtyEjngdAYg5NyKcxTECfw6HDX4VIygQ4ge5g7ga0YoF1ECcaZDMJklfFMMewTTAlE8gMd6nHgTasaD1AMz2gjKloYhH4HFesjw0zaCZckmtpk4rKJslkzTEnIN+9jlLgMJgcUoihKi4CsSeX1gmSdvk+LvjVsjg5yEBWiKPQMA5fuYEZBQOmnZCGhpPrIQXO4gZv7wkwFVgIw1BvDc/iHOPLcsJAow+RAd4xGWSmiqjyJIwqNYfhrXj/AJMiSrb1CBi0n0G0e5YLJPEXWjDtDAtO7IowvLlsEzJQFA7MVfWkEAmgaQhGIxju+OcJEBh+mhGvUh4bmcZv6hMIk4Tji+KeUuAs9LB42dOQIa3m+IFxQ35YJz0CKpgcYEQTx8FcVl6vPUA+AGmuHYclUnAL7yJXuc4Dr2IR+BJQ7m40E4ixQ7Eh9dHAmozKouTAfLYTjG+a/LksGU/MIFkIIgRCOUwNczZ08tnLRC1GZybsfu8ZM7BQe6i87gTrUTmb6sR3R2Lvd34opiXBCg6s1gkAQbFoaJ6EUEWYF0VeUFi49fKWQJcBTbWECQ8AkFZelwvB3FzrrhMAuJMA8O0I7vjrYaKJOUUI5i315BlR3aKkiQJTykLZBKPs79Axo1fXDLwd8fLNn5pfXdAVEQXzxpKixHEJYO0RdHl5gcRp5zzkcMW8vxEXlAt6REkF0Wfc74S4LyeX7w4FLI4J2MEIDZ+kjT9fZ5ZgHljIw1BvNAI0qWh+WIEUZkExJkG/djuWJYl2s1acArUMpGePppsOjcXZ2+BkEOB9Iag0nbqEUzrCGC1C0S89XZid5xaOxGTSRrZMkkrJoct2+CLZJKp8YsGThOxICVdJpl3UYSoRwDL55wthwmkIVGx5EwvKO0+G95mzv2b2zlxXgU20hDEZRIQVyPGZRIQd2n0paFGaJFoCDIN4g8L5ONOOl5OfaTKVpKQEBcaiTlnLxAgzjGPc27U3JYLy18g3PEKK4vn7DWU5BwLnM6ShmIS4PJjBO54I1XzviEIafXnCZymyyRJzrIkBd9JXpxFmVKi+zzlPF8FecTgp93nUDYc5Md5FdhMQyCShkQxgrRgcTxG4HkEtRnSUDzFDvzsimXr5cndMYgrMOOplCCWwyaGHSwKPkRpdvFFEfx865xiBHMdTJOSUy+Qw8LGT1VkVEWeafDzkgB9WvHiKojKYVmB09kySXqMYKuZ3B0v/z4n57aoj5ZQGkorEDWtyNxuNsRNJN1suFrwOi8JcBVY6GAaTdPeDLwdqAHv0HX9nbHfPwj8LLAL/DbwA7quLze6hK+XR22cMEZgR6tswX1g4pKPm1khR3YljZrCWT86IQLtuBmaPFt1nl7yaU4iycB9nTy9yoy1HgBxKX58gQBxcy5/UWyHdk5+RskyIcwmyawjmM4HSZJS04SbjegjIWrCNhiZqIoU7KQDCXClmVLJwKlQJhEGyAUySYxzuIAOVpEmnM05XhwKYuNn2Tam5US9oFqKNJTwCDa3zcSFPQJN0+4Dfgx4JfAg8FZN014Qu+zdwA/puv58QAL+1kU/7zywYjn1cJ4YQbJRVTybBFIWxZFYGsrrYUl4BCm1EyJpSNRuIe4RCOUwP4jYjHtBKwicZpzBkOAsDJBHZRIQZ4cNxmZEO4Z87/O8evk8cZFxTCapqzKSlCKThIxkXhKg+DyCZCxoehZ3drGkON4nlobixi+v7LBVYBFp6HXAh3Vdv6Preh94L/BG/5eapj0AtHRd/y/eW78AvGmBz5sbtuMgzRsjiC2eakqwOH4kn+jc4nh+OXi5x0NzqfnW/vOQCJAr4mpqkRckChYnPYJkc67B2ERV5CATB9zd4tJTKQXasSrIqXcEgVNI94KSBl8UIDdohbw+8OSwFUiAol5DgSEQ7Y4FsaCw5ClJUqoEGF4UIS8JUJQ+mpSGpmdxZ8thQXGoGvaCxE0k48bPlcY2swPpItLQdeBm6PVN4OUzfn9jgc+bG7YjkkkkbIFeHl/shHq5aIGopevlrUZ0F2E7DsOxSdtbPA5PhrzjPZ+6tDQ0kV7uvxZxnmd3PDEtdrYakfeadYWnZ+yawK0liD8sf/rkKT/zvs8mmqNdFCIpQNR6O8gvV2cbP8NMegQNQSwovkCAe5/jZzp/8vOH/NJvPSpsY30R+F1whTn1MwKniiwhSdFF0bZdIxlOgoB0CXB/O3oms6jx3Ec/+RV+/fcem4uPrMjYM+bD0PPGZrXeFho/QYwg3k8KoFF3r5tl/Nyuq0nj96sf+zN+77NPz+RyHnzdc67xV79Vu7S/NwuLGAIZCM9wCbDP8fu5cPXq9rkH9v3/zdfy/AcO6HR2gveaTbd9bvg9SZbYatUj7+3uNLAdJ3adzFZTjbx39WAL07I5uNKePnCyTL2mcP3eveC6695RhrVmnU7H5fKZL51w82jAN73oeuCWLgpVkXntK55JJ3RofL2moNai43Ych512I/LeVqvGYGTGrpOo15TIe/u7LR594jTynoXEzlb0O7y702Y8sdjb3woeuA9/6kluHQ/5lpc+g5jjcmE0agrf+PU3ApfdX3AbzVowHv+0rZoiR+dDQ0WOvWeYNns7zeh8aDcS341hOezvRL/Da1e2+NMnzyLvff6jf0pvaPBNL7p+OYRx+1e96KvvCXa7jreIb4Xu6dAzBAcHW5Hx1FSFWn06H/xWGQf7reh8aNZwYs/KaGJxZT/6967utegOJpH3/uixYywbXvLVd10a587+Fs98xkEgxd3yToPbDt2r7SPXCF+7th28V/eKG8PzYeB9N1evtCPjrtcUJHU6303LZmxYdGLX7e80mFh25L0/fPQ2iizxdc+9PM4vfPbVyGcsG4sYgieAV4Ve3wM8Gfv9vRm/nwtHR71EOuAsPPjsKwAcHnaD92zLZmzZkffGYxPLsiLvmYbFeBJ9r9cfI8f+nuXt5p948iTY6d8+HrDdUiPXOV4G0pefOKHu2cU/e/wYCfjeP/+8iKSyMGJcJAcGg0nkvYlpM5mY0THaDoOREXmvPzK4XmtH3sO2GYyj//b4dEijJkfek70F+bHHjznwTrN67Cun7G3X+Z7XPe/y+AKj/phRf3pqlCJLdLvjYDx9L4ahKrExAr1+9LsZGxamGf0OZQl6se/wrDdmt1WLvKdK7lkUT986C3bsX755xvVrbd7y2svj3OnsRD7XP0D+5HQYvH94uwfAoD+OXFtTJM7ORsF7frLDJHZPa4rEWTf6b3vDCbLjRN5rqBJfDv09gK/c6vK8G3tzcY5zycJtjxNAtzsE4M5xP/j3R3f67jhD4/E9ueOT6Xfz9C3vd7F72qzJHIe+Qz/e48TWjFZN4eh4ep3tODx1NOAvvurZ/MVvuH8uLvNi3u8mDFmWLrR5XiRG8CHgtZqmdTRN2wK+A/ig/0td178EjDRN+ybvrb8KfGCBz1sIomBxWh2BSC+PxwiCfOtQIHEwMmi3YtqxoPHc7ZMhe9v1yzUCAiiKJG7JPAdnI00vjzXn6o8EMkkrmVFy+2TINe/Q82UinjIbnEKnZscIHMcRSkOi2om+SA4LSYA+bp8un7M4RpCsIwAv/hU6d8Kvj0nEv2JymH8WQSvGeTsmAdqOw9HZaOmcRemj0xiBKGtoytmf5+G4CCQlQFFaNLj3OSwNnfYmmJbN3QetixNaA1zYEOi6/hXgbcBHgEeAh3Rdf1jTtPdrmvZS77K3AD+padrngG3g/1x0wBfF+eoIoodZxMvwQZxpED6sxIeoGvGkN+ZgJ4dFUZYiC4TjOOI6gpQAuShrCKJBtcHYjMREQNxj6aQ3Cc59XSbiKbOWIIMGkpyDBSKxKIqzwxKcY/fZcRyX885yOYvajU+rbLNjQUagl2dzTl8Ua4wnVrDQ9oYGpiebLRPi9NHkfVZkN+U7GiNIBosheURn0Dolxnk7lh124nlkV/eLbQgWqiPQdf0h4KHYe68P/fwpogHklcENnIoyaJILhEP0IGzhTtEvvAkFfIdjk4O96IQQVSOe9CfclcPEiXOe5pfPzqAxhFlDXnaFYQUPyHCc3B1vCzyC0/6YFz7ryiJ05oIiS5EqW9ECAe7uuD+cGnFREBGS2WFBPynBoghejvkV93sxTJu9dj6LYrTKNhk4haTxC1IpE8HiaHbYUJANB+FaAoMruwqnPfd+L9vgi5ICAi9oBmcji7ORNARJz2+aBShLUsD5yu7yN3bLxEZWFosgKiizUnbHkEw5i8s4op4sg7EVxAt8NGoKdVWOLoq9CXt57Y5n9GyH5E7RcZzUVEqIch4KPYJo4c14YjEcW+xt1xelNBNxCdBfIGrz7o7jEmBNwbKd4PfDjJ0iTI3fibdA7C+Zs+hgGv/neb0gYe1EzNOFJOeg06y3yfHjFcu+z6LW234dwaw+WpMULyguDQ0FGYDgymG24wRe0okXn8rDw18mSmMI1HPECIDEA5N0n5MxgqEgRgDeaU7eomiYNr2hsfQFApJ1BEHRjZz9sFi227sowTnWk8UwbQwzuTtuN2tITGUS/2HZz8P4JWIEHmdR+qhQMsiWANN2ivGuq75ksGzOmXUEMzy/tBhBvHAwa3cM0/t8HBiCvDjPsclJGIK0uIgq5pwiAfrG76TrGYLd5c/tZaI0hiAtRhCvN/AfHjP2wKQFi8dGeOdkRVot+Ajn1Z/muCiqsRiBKQiowbTpnB8X8SUDUUEZTGMEabtjWZZoh/Ktffc5N49gHjlMkYUVp6n3eQbnuASYF2dJkpAlSej5JVqJxDmnyWF1lYlpB3JT+u44mgjhc95vL9kjyIqLxDY5qiJFn+U0aShWF5R+n6Pe7ml/ws5WLWF0i4Zij/4ciGfQOI6DZYljBBCXhmzBTjHanGt6UpfYI/B3TcECseSHBQSLYsZOEaaGwg/+JfXyaHOuNO0YvJYLOe+OIRksPu/uOO4FtWL3OW2nGJcA8/eCslsyg9c+xUpKQ6KsIZhyni6K0fmQWBR7E7YaamLeXDay22oIOM+VFJA0BBLTVuQ+4hLgaW+y9DhQHiiPIYgtELbj4CAILsV6svjVlyIdFcILhPt/oUewVaM39LXjPBcIOeU4v2zOwU4xZvzibZnTtGPwj/WL6+WrWBQzUikFQcRZsaC03TF499mXw7oTGjXl0goGs5AWF5mplwvaLUCyFXWa8UtIgL1xLl6f6AwGUfooJGNBaQbfTQowA694MDJpNpRE2xY/LuJvco57Y/Z3ls952SiNIUhk0GTkl8O0LD3QFGMTZ9qcK7prEsYIQjJJXkFEcEviRVlDqXERn7N/TKWgDTVMZZI07Ri8g75DQURVkYRG8rKhJDh7C7wSayWSFkRMWxSN7EURonn1p313UZQuq4w6A0oiO8znPG/gNOU+G9O57e6OsyXAk/44F2MvOoPBtB0kKSkNxT0/w3S778ava9QUHIdIUoDwHsfO5D7tjdmvPILiIC6TiHrVQFIaStsdT5tzuQtDIJMIDMFOq8ZwbGGYNie9MbIkBZryMpG2O07ERWKFNz7ntPTReXbH26FzGE56Y/baOS2KihTtSpmxUwzHRYyMICJMkwLStGOISoAn3fHStXIf8fhX6txWYotiikcQv8+DsXh3DNGuqyfdSU5xIFFBmZ1Y3EGcMhu/xyDmLLrHYQnQth3O+kYunJeN8hiCeDZJ0LY2O0ZgpAQRwZ08we545PflTxoCv8DmuDfm6HTEwU4j0SBuGYgXlGXp5RDinJpi576OewRx7RjgYKdBtz/BMG1un464mlOedVpBWfz+xU8pm3d3PBiJtWNw8+ePuyMAbp+NuJpDJTUkJUArVS8XewQJOayWlMNEiyK4ct9xd4xl2xx3x7ncZ3GMIJkKDqKUWSth+CAkAYa8oFTOOy7nO90RtuPkdp+XifIYgsQCkZ5BA2GPQKwpgrs7mEcauuYVmR2dDLl9OqKzn+OiKJSGZsUIxMFiRZapq3KCc/gUJx/X9po4wJ3uiNunI67lVHmZljWUNH7eAfZx45eql085NxuqcHd8ba/JSW/CaGJy3B0H933ZiMcI0jKl1IRebiORnA++kQvHCEQyCbicb5+OOD4bu80a8yiUlNxOquGNnWUnU8Eh6QWJugRAOB18fs5Hp67R7+R0n5eJ0hgCVZZwmFZgWrMCp4FeLpaGIJppkKWX+zuG22cjDk+H+S0QijhrKFUOs6JeUNoDE5bD0nbH/s7w6TsDTrrjXPoMQXodwSyD7+/445xbscCpqx2LA8D+ff7CE6c4DlzLzeCncJ5VZWu6ZxHEJbuEBJixO7661+S0P+FJv/tnXvc5kR2WTAUHcYB8HmloODYTvZV8XN1tcnQ64vDENQR53edlojSGIF6WnlV9CVPNOG2nCH4pfjRGIJKGruw0kCS4eTTgtDfJeYGYI5vEr52IxUXiMQLwio2M2dqxvyDoj5/gQC47RUgmBUyzhsSc4x5BfJFQFbdfzSztGKac/+TLx0B+O8U0ziJDYNlOcO3ETKZFQ/LoxuHYmslZf9zlvDLPL3YutY94dlgq50SAPJvzaX/CzaM+EuQmey4TpTEE8bL09Jz6qGSQVokI0WpEXzsWTR5VkTnYafCpL9wG4J4rW4lrloF4jMBKjYuIOYs9gmlzrqGg86iPg90GsiTxyKMe56v5cFbjEqCd0mIiJVMqfp/jJ3alZZPA1CPIm7NIAlQVKbHTF3l+4nkdT402hJ4uTGXPRx69TU2VuZpTha1IAoxvcEDcViOeAQhRzo7XQiJdGvI4f+E2nf1W4YvJoEyGIFaNeO6soVSZJKYdpwSB779rh5ue+/zA3fkcOBFfIOblbGR4BGFpKGt3rMgyNzptbh4NkCS40Tl/j/SLIOkFpfeggShnf/cfh59jDtmcr+42aTdVbh4N2G3Xc0mlBHFBmTCDRhALEs3reB1B1u74RmcbCdfbvdHZFn7uMiDmLJCGEjGCGcHiscnEsLEdJ9UQ3H+3O5dvHg2Cn4uOEhmCaH+SmYFTK1sygKhMkqUdAzznvl3ADTp3cupdnogRpHBWE7tjcdYQuJzHc2RWADznPvektmd0toVGZRmIV5Bn9aCBqMEXLRDgGsTxHNqxJEkB5+fdtye8ZhmItxIJd84NI8HZEHOWJSlIhHC8MxbSFsWtphp4Ps+7kR/npLebPIIVvPYpscJBcbxv2k04q1AS4N5rbfxv93k39i9KYa1QHkMQSzlL7U2iTltPQ3r1JUR3x+5hJcn4gI9Xft11nnN9l7/y2ucJd53LQLLidL7dsS8NiT2CqRzWH5nCmIiP177kBg/cvcO3v/JZC7A4H+aWwxIxAksoGUCM89CkLciS8vH6b3iA++/a5ltffv/FSZwTIr08LXAK4U2OeHcMU293NLGwbCdVGgL4y69+Ng/cvcNrvv6+RWicCyJvN41zPC4ySw7zT7VL4yxLEm/5C8/nOdd3ecXX3L0wl3XA8ks91wSKlBYjiB9yL6PI00ZVU49AvChODLc5V29oBE24RNhr13nb97409ffLgCJLbisNx0GSppxS22qEOCuyJNRcw3JYb2hkylzXr7X5ke972aVwmReyx9lHVrsF9/ezPQKfs+Ud1elXl4rw/Gfs86N/I98jOGRBUkCaXg7RpADRogjTTU7fq6DNmtsv0e7iJdrlndc7D+LV1KJOwhA1fg1ZSTV+qiKjKlKE804G52958Q2+5cU3FqWxNriwIdA07X7g3cBdgA68Rdf1Xuyae4F/jXtesQ38fV3XP3zx4V4ccY8gLdcaopkGgUeQUkcAbqZBd2jwwJrpheGTnNSQTDTTI0gJIsK0S6PjeMYvY1FcBRL1IraNLEmzY0Epkh+emQkAABv4SURBVAG4i2J3YAQH2WQtiquAoshMzGkXXDenXqyXQ1QOS2t+2PAOp+kGi+J6Vc8mJMA0OSzEuVFTGBs2tRSZ0pcA/erw7Ryq/9cFi0hD7wLepev6VwGfAH5YcM2/AN6n6/qDwHcDD2malo9YHEO8LD0tcArRRlVpLSYgXHhj0RtMhMVkq4S/4AfGb0YRnWnOIRl4gdOx4bbMyNo1rQKithpxvjCVisI9pUTGHqa74+4cu+NVQNR0Lq3dAkQ9v3SPwJXD/J4662fwYxJgihymCpIC0j2/GOc1u8/LxIUMgaZpNeDVwHu9t34BeJPg0l9hepTlF4Am7tnFuSN+zmlauwWIppylVV/CtPFYf2gwGJnrtyjGAuRTaShbL3clA7G9bjVUHIegqnLtjJ+guGqewKmbSpnOeTg2g26qa7koXoDzxEg3+FsNlcHYDLqprtuiKIwRpFQWg2v8pifviTm3GiqDUdjgl0Y5v7A0dA0403Xd90dvAgnBTNf1/zf08u8Dn9R1/fSCn7kQEnUEKRk0EE05S6u+hOlhJDfvDHBYz0URZnOWZVc6McJ6ecrDsutx9itJ1834ieoIMnfHIeOX1h11d6tOf2Ry2vcMQUaAfBWIH8OallMv3B2nyCQ7WzW++NTZ2u6OkxlxM2IEph2cvJdm8HfbbgO9/tCgUVNSr9tEzDQEmqa9CfjJ2NuPAk7sPZsUaJr2d4DvB775vAO8evVyHIgrt92Fa3e3Raezw1bbq/68tkPnWjtybbOpIisync4OiqrQqKl0Osmg6NBbcE68XdP1u90UUdG1q8CeV/hycNDmYLdJw1vA7rl7N7FQ1GsKqsdTkqWgi2qcyzOuu9+jz/nG9b214Quwvd1we954Y6rV1MCohcfZ8loHN5o1Op0dHGC7XRdyuX6Pe19PvRjBAzcOcksBFiE+xq1WDSQpeF9WZJqN5JzteWnBWx5P07LZ22kKOd/T2eZ3/ugpTECWXM7LaJR40bnTqKso3jMK4ODO2fjfu/a0G7bc3mmyu+emuV7Zbwk/964rbf7ksTsYtsPetnguZGGdnoPzYqYh0HX9PcB7wu950tCRpmmKrusWcC/wpOjfa5r2z4E3AK/Wdf2J8w7w6KgXyQ64KHp+V8ijPle2ahyfDAE4Ox2gOlEbJgG9/oTDwy5nXbeX/uFhN/E3LS919HNfPPLecAPLomtXgaEnZdw67GKODc7ORki432ncw1FkibPuiMPDLr3+JMiTjnNxvOC5z9memGvDF2A8MjAth1u3zpAkiX5/jOSxCY/TTwI4Ph1yeNhlMDJwbEfIRfE8Kp+zMRpzeGgmrssDnc5OYoymYTGZWMH7o5GB4yTvXffMnfO37/Q5POwyNixMwxJyViW3L9cXvnzM9lado6Ne4pplcJkXjm0zGk3HPjFMLDPJZTBwD4I6POyBd6bEZGQIP7ehShyfjbh1Z0C7qZ5rbItwuUzIsnShzfOFYgS6rhvAx4Dv8t76XuAD8es8T+DPAd90ESNwmYjHCNIasEE8RpCuo7abKoos8aWn3QlwZWe9DqjwufnZFaZtowhaD8D8nHe9LJPHnnI5H6wbZ0/28lNITTslWCyQSdICpz7nLz3dZWertnaSgeg8grQkCHC52raDaSVP3vOxF7rP6zavQdxHK7ua2kptu+1jt11nYtrcPOpzZaf4/YPOg0WiIX8b+Deapr0d+DJuVhCapv0AcB34Ee+/M+Cjmqb5/+71uq4LvYdlIh4jSMsvh2iMYJIRRJQkid12nTtn7q5j3SbPNFjs106ItWOInuRkGHZquuDOlns84XF3zHartvTzac+LcIBckdPzy2VJQlWkuQKn/qJ452y8li0F4jEC07KFVbHh7LC0k/d8+JyPu2Oeec/6SR7uGQyhlNnUALnXR8uyM1PBIXqfX/y89TN+y8SFDYGu618CXiN4/6dCLw8u+vcvG/H00cxgsSoHZeZGRpYBuP1ljrtj2k01cbTjqiFKH40Xk/mIZ0ql7Y5VRQ4O5ljPneLFOafVEextuw30bMdZO2MP4vMIZmUNZaVFA1wJddS8sobdNUWcs4rowpzT5vbVNee8TJSnxYS3GNix9NG0jBI/p35s2Jl9cm503EDz9VjAeR3gt7KwI9JQikcQqp0YG1amUbvP4+z/f52QSBP25DARfM/Pth234CiFc02Vg3bL68o5cn7vHC0mJpP0NiJA5NStdeQsqiDP5GxOPYJmCuf7Qo0R15HzMlE6Q5DoNTTjeLvRxAr6kIjw7Otuo61nepkl6wRRfyXRThF8zu6DMp5Ymcbv2fe6XJ+bY2O1eZGoIJ8lh5lW0EQvk7PXNDDPxmrzIrE7tsQN2NRQjMBvlphm/GRJ4jnX1/g+C45hTTuhDDzOvvGri4WQ7VaNHa9G5Fn3rt/zvEyUpmLCXyDMUE69IkvCBnDRGEH2oviNL7wbVZF40XOvLWHUi0EN6eXgSQYpbYJrqhwsiGMj2/h92zc8wN0HW7zsq/PtLzMPknERO1UaUlUFw7SnhiCD85tf93xe9JxrfO2zr17yiBdH/FQ2K8ULkiQpOK5yHuP3A9/+Qh6/1cuthfh5EC4ocxxnthxmhTmn73//wXd/Pd1Bdt+wTUR5DEF8UUxxJSHmEcyQSRRZ5hu+5p5LHu3lIF5QltZuAVzj1xsamJZbeJMVBG7UFL7xhevKOXbuhO3QSuHiy2F+i+k0yQDc3eIrXrCenSYVWcZx3EwpWZJSM2hgOrfHk9mL4tW95toezB4uKAt6aM2QhgLOmbLn+hm9PFAiaSi+QGTo5aEMmvEMj2Cd4fMzQymzWQuEaTnBrilrUVxniKShrGBxmPO6ZUDNC9FZG1kSoBnaHTdTZJJ1R/gMhmniR0bHVWs+L6isKOYsuADkWLB4lkdgml5vkhl6+TojwTklpx5Cevkcu6Z1hjhYnB0j8LXjLDlsnSFKhEg1+DEvKCsjbp0Rbr2dVROkyG45Yfi4yqLe52WimLPgAjhX4NTLyx5NLBw2YFG05g0WF3/XFI8RmFb27jicX154zvb8nIvuEYRjBFk1QZIkRea2JIk9h7KjNN+IGg8iphxtB9OqU/+Aik1ZIFyZJG2nqEQzKwrLOV5HMMfueI5g8TojIQHO9ILmixGsM0QxgjTjFwTIJzbNuiKsrC87irkduACSh9eLc61hmnLWLbohUJJxkTQuqup2H92EBQKiBxClyWH+AUSjonMOeX6212EzNVPKWxRHGxAXibdXzwyQe22oi8p32SjmzL8ApumjoSBixq4Jph5BUTXFePqoOYNzNL+8mHuEpDQkzi+HqUcw2RTOtp1ZHwNRCVBVpMLKJOFjWKdni8zibBc2CWLZKOYsuABkgTSU9bDA1CMo6i7C52yGpKEsL8hxYDhyW2sUfnc8b4sJK2T8CspZDnHOyqCBUIygwEkQEL3Pc3E2i895mSjmzL8AZElCkkJdKTNTKd3J0iu4RxDPJsnWjqOcC6uXe/c02lYjOztsmkFTUM7K9D6bGRk0EI2LFPUeQ1T2DI5g3XDOy0RpDAFEDzbPzLX2YwReP//CGgJR07kZXtBZwLmgMsk5JUA/RtCoK8Iq8yJADTVUnHd3PBpbhb3HEI2L+B7vrLqg4dgsNOdlolyGIJRpkKUd+7nVx1576a2UIwzXHYn0UdtOzRryWzCfdD3OgjbGRUCYs996IG2nWFdlJqZNb2ikHlNZBIRlklkxgnrNbSUyGJuFndcQjYv48zttk1OvKS7nkVno+7xMlMoQqJFMg/QFou0d6XjoHdC+1Shm35Fko730uIh/3vLhyZBWQ1nKsYR5ILJA2On55TDlfPt0VFjDB9E+WsGimGLw280ag5FJf2QUnPPU250lh7Wb7qH0g7FJqzIEQpTKEIRPcko77BoIdg2HJ0MkoNkopjSkKtNFEfwGbDM4F35RTGrHaTvF8H0uNOeQNGQGxi+d89iw6A6MzfAI5pDDtpo1ekODwcgs9H1eJi78rWiadj/wbuAuQAfeouu68GBTTdN2gEeA/07X9Y9e9DMXRbQsPcMj8HaK/oEzRdWO5bhHkJEp5XtBx90xz7iruI23wm01Au04Y3cMLucH7l6/U7jmRZizNSOnPjK3C+rpQsgQOLPlsHZL5azvxr78e14hikU8gncB79J1/auATwA/nHHt/80anFYWLUtPzyZphgKHoiP/igKfw7TjajrndqjtbpF3TWpEL5/hEYQ5b8LueB7OoYWwyDJJuF5klhy23dyM+7xMXMgQaJpWA14NvNd76xeAN6Vc+11AF/j0RT7rMhEvS09zJSVJCiZMu8B9ySVJCg75dhwns8VE+AEpMufoAuEXGmXLYe7PBeashOMi83PeLvCiGIkR2NkeQWRuF5jzMnFRj+AacKbrun969E3gRvwiTz76O8D/dMHPuVSETzXKajEB08XwYHv9zuU9D/xDS2zHwSEjm0SVg8Vjf1t8cH0REO67E+jlM5ICAPZ3iss5nD5qzsipDxv5/TU8c3peRGIEGU3nIHafC/48LwszzaOmaW8CfjL29qOAE3vPDr/QNE0Gfg74IV3Xh5qmXWiAV69enl7dqKsoqkKns4PtwPZ2g05HrA3fdbDF03cG3NPZTr0mDee9fpmoKTL1Ro39A/cM1r3dVur4drZqHHfH3LhnN7hmnbjMg/bILYhrters7rYAONjfApJcrlydTuH7790rDNf4OPumy6O93QykzGtXxfNWDuXRP/PGwco5X/Tzrxz2Adjda9Hy9P+7Oztc228lrn1W3wh+fvYDV+gcbF3oM2dh1d/lIphpCHRdfw/wnvB7njR0pGmaouu6BdwLPBn7p1/l/fdznhF4LvCzmqb9LV3XPzLvAI+OekGV6KJwbIfhyODwsIth2hhjk8PDrvBav93ATkNJvUaETmfnXNcvG5Ik0euPefppd0yj4SR1fI5Xdd1SZQ4Pu2vHZR74nUTPuiNu33ZzFwZ9tzYii0tDkQrBVXRPTk8GAByfDBh4xY/d7lDIxwkd+F7DWSnnReZXr+umdh8d9Tk5HQJwcjLAMczEtY2Qo2CNjaVwXpdnRZalC22eLyQN6bpuAB8Dvst763uBD8Su+ayu68/Qdf1BXdcfxA0o/83zGIHLRqKgTE2n/4qvvptGXeEFz7yS1/CWAr9LozlDLwd4wzc+k62GyvOfsZ/X8C4d4RiBMQfn/+oV93Ow0+D+AmdKhWMEppnNWZIkXv7Vd/HA3TvFlgDlJOdaiuy53arxnOu7fP3zrhW2yd6ysUjk5G8D/0bTtLcDXwa+G0DTtB8Aruu6/o8uYXyXCj9G4DgOppleRwDwEq3Di577qsJPHD9G4BuCWobxe+1LbvDND14vNGdRla2qpseCvvPPPZe//OpnbwZny8GUsjtxAnz/X/oaLNspdF/+cCxoHoP/P3/PS3IZV1FxYUOg6/qXgNcI3v+plOsT1+YNP4PGst3AadoOwkeRFwcfPmdjRqteH0XnHM6Umu4UszkVnXPkrA1rNmdJkmbOg3VHxPj56aMZm5yiVsrnhWI/AeeE4h1B6Z9f6nfc3GT4jfaMGZLBJsGXwwLjl7FAbALCh/EE0lBpONsYppsBWNTCz3VAqZJqg53inLvjTYAiS5H2xFnS0KbAryA3vGyaWR5B0RHpze+9t+n32V/0/bm96YZv2SifIZjTldwUTGWSciyKMO0pNU+AfBMQDpz6SUEbzzlUUGZYdinm9TJRPkNgT7NJyjB5FEXCtOfLoNkU+BJgWbygcNM5P9V60+d2+BhW07Q3/h4vG+UyBP4CYZZjgYBpjMAsiV4OghjBhi+KkRiBZSNL0sYHR30vyPQ8vzLIvMvEZj8hMQQLRNkCp+EAeWk426GkgM3m7B/D6nPedL4Qk4ZmpIJXmI1SfXuyLGE78xVXbQrkWLC4NB5BCZMCfM5l4BtpN245pdjgLBOl+vZUr6CsLNoxTAvKjBnVl5uEskuAZTH2QCABluEeLxOl+vb88wjKFCxW4zGCEnCexggcJCn9kJZNghJKmS3DvI5UkFfS0MIo1bfnZtCEYgQZrQc2BYkYQQl2TuHK4jIsijDto1WW3XH4GFajJF7QMlGqby9RR1CCRcI3fmXjHCwQJeAL0z5aZdkdR85pLpHBXxZK9e0FgdMS7Y5dzqHaiRJwVqRpgLwMfCFaQV4GQ+B3k/C9oMojWAyl+vYUL2uoTDGCeAO2rFPZNgWKIrteUEl2xzCNf5mWXYqEgEhzwZJwXibK8ZR48HOPRxO3I0sZFomg6Zy3Uyxy6+F5ES4oK8tOMRz/KhNnPyOuDM/yMlGqb88vSx9P3FOMyiAb+EHEMpXhhwvKyuD1wTRGUKa+O9OUWac0c3tZKNW358siI6NMHsG0AVtZ3OdpryGHWgkywyAsDTnl8QhCZ22U4VleJkr17QXS0Ng3BJu/SKiKjGmVSzJQFcnjbJVmgVAVzyMwrdJ4BO59tkvl7S4LF246p2na/cC7gbsAHXiLruu92DV14CeAVwF14O/quv4bFx/uYqh7B9J3BxPqtXLo5XVVxjBtRoZFo7b5B/EA1FWFiWExMW22GuXoq1ivKYxNm4lhUy/Lfa4pDMcmlu2UhvOysIgZfRfwLl3Xvwr3YPofFlzzD4BrwIuB7wT+taZpK1t9/YWwOzBKsyj6PHsDozQPS70mMzEsxqUyfjKTSdk4K3QHBkBpOC8LFzIEmqbVgFcD7/Xe+gXgTYJLvwv4cV3XHV3X/xj488DKDIG/EJ4NJtRLcEwlRDk3SuI+N2oKY8NmPLECL3DT0agrjD3jVx7OMmeDCUBpOC8LF/WbrwFnuq6b3uubwA3Bdc8FvlnTtHd6n/W/6Lr+2fN80NWr2xccYhJ3n44A6I9M9rYbdDo7l/a3w1jW370Irl1pAy7nezvb5x7bOnGZFwf7W5iWzcS02dttBRyKyEUEEY+9nSbDL5/gOHBlf6swXBcZ585Wg8MT95nuXGmvnPOqP38RzDQEmqa9CfjJ2NuPAk7sPTvl79/A9R6+FvhPmqZ9la7rp/MO8OioF5y6tCiGfXf3cNafcHW3weFh91L+bhidzs5S/u5FMRm7rvNZf4LkOOca27pxmRemlx581p9gmxaHh93CcokjjYdt2Zx589ucmIXguug9kXACzuORsVLO6zK/ZFm60OZ5piHQdf09wHvC73nS0JGmaYqu6xZwL/Ck4J8/BfyyrusO8GlN0x4HNODhc4/0EtAIuY9lkYZKybk+5VmWuEhYIy+LTFJGzsvChb49XdcN4GO4MQCA7wU+ILj0ff41mqY9G7gfN8NoJQgvCuHFYpMRXvzLw3k6rRslWSDCC2FZAqdl5LwsLPKU/G3grZqmfRY3PfTtAJqm/YCmaf+rd80/BK5rmvbHuEbhb55HFrpsRHYQZQmc1kvIuVZ2j6AcnOuR57kcnJeFCydZ67r+JeA1gvd/KvTzGa63sBYIPyxl2UHUS8g5bPxKw7mM97mEHv6yUI4toodayJVsNctRaBSWRrZKw3m6KJSloCzCubrPFc6JUhkCWZKClgPtZm3Fo8kHzfr0ASnjAtEuC+d6CQ1BCTkvC6UyBDDtL1SWBSL8gGyXxPjtbE15tlvl4Ly7VQ9+LssmJ3yfy9JTalko3bfndyAty8Mih/oplWXXtNueLoql4bwd4lwSmWSv3Vj1EDYGpTUEV3bLN4mu7DZXPYRcEN4d7m+X4z7vhTwCuQSn0AHshQx+hcVQOkPwrS+/H0WWuK9zea0r1h1/7sX3sd2qlcr4veg5V3nGXdulkQwadYUbnTYPPvfaqoeSGzr7TXa3arz2xaLuNhXOA8lxLqd9wxLwTOCLl9liAsB2HIZjc2nS0LqUmodhWu5pXa1zSgbryGVeGKaF7UwDx0XmEkYWj9HERJHlwvTmv4x7Mhyb1FR55QZ/XeZXqMXEs4DH5v135RATQ5AlqTTxAR+qsvoHJW/USlhgFM4QKwvOu7mpIEa5VocKFSpUqJBAZQgqVKhQoeSoDEGFChUqlByVIahQoUKFkqMyBBUqVKhQclSGoEKFChVKjnXOvVKgmFWSRRxzGiou64dN4QEVlyWO4Vz50+tcUPZK3FPQKlSoUKHC+fAq4D/Pe/E6G4IG8DLgJmCteCwVKlSoUAQouGfI/z4wnvcfrbMhqFChQoUKOaAKFleoUKFCyVEZggoVKlQoOSpDUKFChQolR2UIKlSoUKHkqAxBhQoVKpQclSGoUKFChZKjMgQVKlSoUHKsc4uJQkLTtH8CWLqu/6j3+puB/wA87l3ySV3Xv29Fw5sbAh77wC8CzwYOge/Udf2p1Y3wfNA07a8BPw487b3167quv22FQzo3NE17M/B2oAa8Q9f1d654SBeGpmkfAe4CDO+t79d1/eMrHNK5oGnaLvC7wH+t6/pjmqa9DviXQAv4d7quv32lAzwnKkNwSdA0bQ93Inw38M9Dv3op8BO6rv9vKxnYOZHB458CH9N1/Q2apv1V4F8B37WCIV4ULwX+nq7rv7TqgVwEmqbdB/wY8BLcitHf1TTtI7quf3a1Izs/NE2TgOcDD+i6bq56POeFpmmvAH4GlwOaprWAnwe+GXfD9+uapn2brusfWN0oz4dKGro8fDvwKPB/xN5/GfAXNE37tKZpv6Zp2jPyH9q5kMbjDbgeAcAvAd+maVqRDn9+GfDXNE37jKZp79Y07WDVAzonXgd8WNf1O7qu94H3Am9c8ZguCs37/29omvYpTdN+aKWjOT/+FvCDwJPe65cDj+q6/kXPsL0beNOqBncRVIbgkqDr+r/Vdf3HSfZFOgH+L13Xvw54P/DLuQ/uHMjgcf3/b++OQaMIwiiO/xMFRQjRIpDCUnidtYVdtLETUcEiUUgRxEKbgIiVTdDCRtBGS5sgNiqCBssQQbRR8wq7C6ksFAurYLF75ggBb+9MNsu+X7W3bPFmZ49vZ+aYo9j3ifJh/wlM7HK8YawDd4DjFG9tD+qNU9nf+19aB47WlGVYR4Al4CwwBcxJOl1vpP7ZnrXduyFm4/smU0MVSToP3N9yetX2qe2utz3Xc/xI0oKkcds/djLnv1RtB7B1j90RYOO/BxtSP+2SdBf4tqvBhjcK9G4Mtifvfz9sLwPL3c+SHgNngDe1hRpO4/smhaAi24vAYj/XShoFbgILtnvfsGufF63SjtIaMAl0JO0HxoDvO5FtGNu1S9K4pBu2uwVihD3QBxV1KLYW7ppkc2qiUSSdBA7YXipPjbC5aNxEHYodP7sa1zeZGtpBtjcohr/nACRNAyvlHG/TvAKmy+OLFAvHTfny/gLmy0U+gGvA8xrzDOItMCVpQtIhimfqdc2ZBnUYuCfpoKQxYIbm9UevFUCSjknaB1wCGrNQDCkEu2EGuC7pM3AFmK05z6BuAyfKdlylWCxrhHI0dgF4KOkrxS9v5utNVY3tNeAW8A74BDy1/b7eVIOx/QJ4CXwEPgBPyumiRrL9G7gMPAO+AKsUi/mNkf8jiIhouYwIIiJaLoUgIqLlUggiIlouhSAiouVSCCIiWi6FICKi5VIIIiJaLoUgIqLl/gCW84pnhCjZAQAAAABJRU5ErkJggg==\n"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "y_power = 0.0813\ny_energyT = 0.4878\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Signal Correlation\nThe MATLAB program can implement directly the concept of signal correlation introduced in Section 2.5. In the next computer example, we provide a program, that evaluates the signal correlation coefficients between $x(t)$ and signals $g1 (t), gz(t), ... g5(t)$.\nThe program first generates Fig. 2.3, which illustrates the six signals in the time domain.\n\n![fig2.3](data:image/png;base64,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)\n_fig2.3_"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# to generate 6 signals x(t), g_1(t), ... g_5(t);\n# of this Example\n# we can first decide the signal within the period of 'T' for g(t)\nDt = 0.01 # time increment Dt\nT = 6.0 #time duration = T\nt = np.arange(-1, T, step=Dt) # \"t\" goes between [-1, T] in Dc increment\n# Then evaluate the signal over the range of \"t\" to plot\nx = ustep(t) - ustep(t - 5)\ng1 = np.multiply(0.5, x)\ng2 = -x\ng3 = np.exp(-t / 5) * x\ng4 = np.exp(-t) * x\ng5 = sin(2 * pi * t) * x\n\nplt.figure(figsize=(20, 10))\nplt.subplot(231)\n\nsig1 = plt.plot(t, x)\nplt.xlabel('t') # label axis\nplt.ylabel('x (t)')\nplt.axis([-0.5, 6, -1.2, 1.2]) # set plot range\n\nplt.subplot(232)\nsig2 = plt.plot(t, g1)\nplt.xlabel('t')\nplt.ylabel(r'$g_1(t)$')\nplt.axis([-0.5, 6, -1.2, 1.2])\n\nplt.subplot(233)\nsig3 = plt.plot(t, g2)\nplt.xlabel('t')\nplt.ylabel(r'$g_2(t)$')\nplt.axis([-0.5, 6, -1.2, 1.2])\n\nplt.subplot(234)\nsig4 = plt.plot(t, g3)\nplt.xlabel('t')\nplt.ylabel(r'$g_3(t)$')\nplt.axis([-0.5, 6, -1.2, 1.2])\n\nplt.subplot(235)\nsig5 = plt.plot(t, g4)\nplt.xlabel('t')\nplt.ylabel(r'$g_4(t)$')\nplt.axis([-0.5, 6, -1.2, 1.2])\n\nplt.subplot(236)\nsig6 = plt.plot(t, g5)\nplt.xlabel('t')\nplt.ylabel(r'$g_5(t)$')\nplt.axis([-0.5, 6, -1.2, 1.2])\n\nplt.show()",
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1440x720 with 6 Axes>",
"image/png": 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lSdJIDKTaqbkUI9tRSEqLd09SiwbusucMKakUKgnuISVJ0ggMpNpo4C57XmhIpVBxKYZaNLiHlH1CKgM3NZckaWQGUm3UXIrhZYZUHm5qrlYM3mUv44FISkUlSahVsx6FJEn5ZCDVRt49SSqXJEncQUotqdbqb1o4Q0oqh6TiDClJkkZiINVGg79ueKEhlUEC7mmultRqNfePkkrEPaQkSRqZgVQ7uRRDKpUkGby7pjQW1VrNWbRSiXiXPUmSRmYg1UYDb4B5tSGVRILXGWpFrVq/QJVUDkmSuNegJEkjMJBqo4E8KtNRSEpLkuBt9tSS+gwpu4RUFpUEqm5qLknSsAyk2mjgLntea0ilkOAWUmpNtVajYueVSsNNzSVJGll31gMoIt/9lsqhvhQj61HkRwhhEfBy4GJgHrAHuA/4RoxxS5Zjy4taFRLn0Uql4abmz2SfkCQN5fu0bdS8nbekkkhwbxAghHBeCOGLwEPA9UAPsKXx3+uBB0MIXwwhnJ/hMHOhinfZk8qkkiTU3GzQPiFJGtaEZ0iFEFYCATgJxBjjhgmPqmOZSEll4hZSAz4N/Anw5hjj0VO/GEKYArwa+CTw/HSHli+1qnfZk8okSVyy1/Bp7BOSpFOMO5AKIbwK+ABwDvAEcBxYGUJ4DPhAjPHr7Rli56jVXIohlUk9WPBCI8b43ObHIYRKjLF6ytePAV9o/Cm1as277EllUkl84wLsE5Kk4Y0rkAohfBzoAn4pxnjbKV+7AnhHCOENMca3tmGMHcXrDKk83ENqWFuB/qwHkVf1u+xlPQpJaUmShJMu2TuVfUKSBIx/htTHY4x3D/eFGOMdwM+FEC4b/7A6kxcaUrm4ZG9QCOEi4GFg2ghfXx9jXJHuqPKnVnMPKalMKpXEvQYb7BOSpFONK5BqhlEhhF+KMX506NdCCP8rxvhHIwVWhVYDN5GSSiRJqLlkr+lr1N/xroQQPg/cS/3OSfdSv4HG3AzHlhtV77InlUqSQNUZUk32CUnSM4x3yd7bgRnAr4UQpg/5Ug/wduCP2jC2jlPDJXtSmThDalCMcVkIYQGwHriZ+i29XwdcQP3d8I9lOLzcqFGj4v1tpdKouGRvgH1CknSq8S7ZOw5cSD2UunDI508AvzGRAYUQ3gS8h3q49Rcxxr865euXAJ8A5gDfAd4eYzwxkddsm5qBlFQmiZvVPkOMcUcI4cIY4+PNz4UQEmB6jPFQu16nk/tEtVojsVFIpZEkCSdr1dM/sSTsE5Kkocb1Pm2M8ZMxxp8D3hpj/Lkhf94WY/zn8Q4mhHAG8PvA1cAlwC+EEM4/5WmfBd4ZY1xNfYLC28b7eu1WrdVciiGVSIJ7gwCEEH4lhDAVYOhFRuNxLcZ4KIQwNYTwK214rY7uEzXvsieVSv0ue/YJ+4QkaTjjXbL3SeB3Yow3jPD1JcD/aYRWrbgWuCnGuKvxfb4IvAF4f+PxSurvoHy/8fxPA78HfPTZ32p4N96xngOHjrc4rLF5fONet5CSyiSBo8dPcsPN67IeyYStOXM+1/TNGu9fXww8FkL4GvBtIAL7gdnAauDFwI8BfzvxkXZ2n9iw/YAzaaUSSZKEnXuPFKJPXLq6nz77BDC5fQLgRWtX0Dt9vAtZJHWSh5/azY13beTQoaNZD2VCZs3o4ad/9NTs//TG+y/dh4GvhhDWAV8FHqM+2+oc6s1kNeN7p2EpsHnI483Alaf5+rJWXuCbd25g2+7D4xja2ISVvQD098+etNdIU1HqgOLUUpQ6oPNrCWfO56a7N/CV7z6Z9VAm7OCxKtdctnxcfzfG+NshhD8HfhZ4K/Wl3POA3cD91Dey/e0Y4842DLXj+8RVFy8FOv/nv6kodUBxailKHdD5taw+cz73PrajEH1i2rQe1l6wdFx/1z7Rmi27j/Detz530r5/2jr9PG4qSh1QnFqKUMcf/P3dPPr0nqyHMWELe6enF0jFGO8NIVwB/BT1dxzWUN/TOwJfBL4QYxzPgvlK4/s0JUC1ha+f1h//0gtSudvJ9u37J/01Jlt//+xC1AHFqaUodUAxalm7agFf+dNXd3wdUL81+UTEGHcAf9r4M5nsEzlShPO4qSi1FKUOKEYtP7p2Gdf/2HkdXwfYJ4aazD7xgc/cwclqtRA/M1CM8xiKUwcUp5ai1HH02AmuPH8xb//J1sOcPBlvjxj3XNAYYw34x8afdtkAXDPk8WJg0ylfXzLK1yVJxWafkCSNpsP7ROINU6QSqZX8xmh5u/n0N4EfCSH0hxBmAK8H/r35xRjjU8CREMJVjU9dD3w9/WFKksYjhPAzE/wW9glJKoAQQlcI4XUhhNeEELqHfP6NE/zWHd0nEjfCl0ql7Kd7rgKpGONG4HeAbwH3Ap+LMd4eQvhaCGFt42lvBj4YQngEmAV8KJvRSpJGEkI4f5g/zwF+cSLf1z4hSYXxt8Bl1O+Ed0sI4dzG539pIt+00/tEkjxzPaGkoqtNeEl0J8vd7RtijJ8DPnfK51455OP7eObGhJKk/Pk+9T0FT+2wKyf6je0TklQIS2OMbwYIIXwG+JsQwvva8Y07uU8kJM6Qkkqk7Kf7hAKpEMJ/jzF+dsjjLuD3Y4y/NeGRSZI62cPAb556x6QQwr9lNB5JUr5MDSFMjTEejTE+EUL4CeDzwAVZDyxTiReoUpnUcA+pifjtEMJHQwhTQghnArdS9iYiSSUWQpjb+PBlwLPuYRtjfFW6I5Ik5cmQPvHrQG/z8zHG/cCrG58vrRJfl0qlVKvVSEp85k90yd4VwP8F7gLmAb8XY/zEhEclSepU20IIW4AfAD8IIdzf+PiRGOOJbIcmScqB0/WJz476twsuSbzLnlQ2zpAavxpwFJjR+F7VCY9IktTJXg9sBO4EZgLvB+4DdocQ/iWEcEWWg5MkZc4+MYoEqJpISaVRrdWD6LKa6Ayp+4HvARcDi4HPhRBeE2P8yQmPTJLUiT4GnB9j3AcDewv+X+AeoAf41xDCW2KM/5HhGCVJ2bFPjKLE16VSOdVqJV6wN/EZUu+PMV4fYzwQY3wMuAp4pA3jkiR1pir1WbMAxBhPAv8v9Q3OPwZcD3wgo7FJkrJnnzgN77InlUcNSr153IQCqRjj357y+HiM8d0TG5IkqYN9AviHEMJZQz63EFja+PibwOrURyVJygv7xCjcQ0oqmRpUSjw1cqJL9iRJGuoD1HvLfSGER4FNwAuA5hsYywE3N5ek8rJPjCJJ3ENKKpNqrVbqGVIGUpKktokx1oD/HUL4EPAjwALggzHGmxpPWQK8J6vxSZKyZZ8YXUJjCY+k0ihxHmUgJUlqvxjjDuAfh/n8bcBt6Y9IkpQn9okR1KdIZT0KSSmplfwuexPd1FySJEmS1AZJAjXnSEklUiv13TUNpCRJkiQpBxISJ0hJJVKt1c/7sjKQkiRJkqQcSBLwNntSuThDSpIkSZKUOeMoqTxqJQ+gDaQkSZIkKQcqSeIEKalEakClUt4pUgZSkiRJkpQTZZ8xIZVJ2U93AylJkiRJyoEk8QJVKpVajaTEm0gZSEmSJElSDpT5wlQqoxqU+B57BlKSJEmSlAv1m+w5RUoqi1rNu+xJkiRJkrKWQNU8SiqNmkv2JEmSJElZq1+WmkhJZVLeOMpASpIkSZJyIUkSNzWXSqRW8k2kDKQkSZIkKQfqd9kzkZLKokaNikv2JEmSJElZM4+SysMZUpIkSZKkzCVJ4g5SUonU86jyJlIGUpIkSZKUA0mCe5pLZVJrnPclZSAlSZIkSTmQAFXX7EmlUavVSEqcSBlISZIkSVIuuGRPKpOSbyFlICVJkiRJeVBfsmckJZVFzSV7kiRJkqSsJYlbSEnlUu4z3kBKkiRJknIgIaFWLfcFqlQmtRpUKuWdImUgJUmSJEl54AwpqVTKvkLXQEqSJEmScsAtpKRyqeFd9iRJkiRJGatfmJpISaVR8y57kiRJkqSMJQm4hZRUHjVwhpQkSZIkKVsJOEFKKolaY31uifMoAylJkiRJyoMkSaiZSEml0DzTS5xHGUhJkiRJUi4kbmoulcZAIlXeSMpASpIkSZJyoH6XPRMpqQyqjXO9Ut48ykBKkiRJkvIgIXGGlFQ2BlKSJEmSpCwliXuaS2XRDJ+TEidSBlKSJEmSlAeJS/aksvAue9Cd9QCGCiGsAD4LLAQi8OYY44FTnrMSeAB4vPGprTHGV6Q6UElSJuwTkqTRdHqfcMmeVB6De5qXN5HK2wypjwAfiTGuAe4E3jvMc9YCn4sxXtL4k4vmIUlKhX1CkjSaju4T9etSEympFAaW7JVXbgKpEEIP8ELgi41PfRp44zBPvQK4IIRwbwjhphDChSkNUZKUIfuEJGk0RegTSYIzpKSSqOGSvdwEUsACYF+M8UTj8WZg2TDPO0J9Gu5lwJ8CN4QQpqQzRElShuwTkqTRdHyfSEioGkhJpTAYPpc3kcpkD6kQwhuBD57y6Ud59vzU6ql/N8b4viEPvxZC+APgPOC+sbx2X9+ssQ90Avr7Z6fyOpOtKHVAcWopSh1QnFqKUkee2Cc6R1HqgOLUUpQ6oDi1FKWOPClqn5gxYwrUaoX6mSlKLUWpA4pTS6fXcfDwcQAqlc6vZbwyCaRijF8AvjD0c40ptjtDCF0xxpPAEmDTqX83hPAu6mu+dzY+lQDHx/raO3ceoDrJbzv0989m+/b9k/oaaShKHVCcWopSBxSnlqLUUakkqQUxY2Gf6AxFqQOKU0tR6oDi1FKUOuwTgyazTxw+fIwaFOJnBorz81+UOqA4tRShjkNHmv/sJB1fy3h7RG6W7MUYjwM3A9c1PvUzwNeHeeqLgLcChBBeBHQBj6QxRklSduwTkqTRFKFPJIl32ZPKYvAue5kOI1O5CaQa3gH8QgjhIeAa4D0AIYS3hxDe33jOrwIvCyE8QH3N90/HGJ81FVeSVEj2CUnSaDq6T9Q3NTeRksqg5l32slmyN5IY41PAi4f5/MeGfLwReFmKw5Ik5YR9QpI0miL0CeMoqRya4XNS4ilSeZshJUmSJEmllCTgmj2pHFyyZyAlSZIkSbmQkDhDSioLl+wZSEmSJElSHtT3kMp6FJLSMLBfXImnSBlISZIkSVKOuLG5VHzNs7xS3jzKQEqSJEmS8qC5ubFxlFR8NTeRMpCSJEmSpDwYuC41kZJKo7xxlIGUJEmSJOVC88K06pI9qfCaS3NLPEHKQEqSJEmScqHMV6ZSyQzuaV7e895ASpIkSZJyoLm5sROkpOKrNdbmljeOMpCSJEmSpJwxkZIKb2CGVLbDyJKBlCRJkiTlQHPpTtU8Siq86sBH5U2kDKQkSZIkKQcGLksNpKTia6zNrZQ4lSlx6ZIkSZKUH80ZUjUTKanwBs9yZ0hJkiRJknLATc2l4qu5h5SBlCRJkiTlQeJd9qTSqNW8y56BlCRJkiTlwOCFqYmUVBZJiadIGUhJkiRJUg4M7iElqehcsmcgJUmSJEn54JI9qTQGl+yVN5EykJIkSZKkHGheltZMpKTCGzjLy5tHGUhJkiRJUh64ZE8qkcaJXinxmj0DKUmSJEnKgYHrUhMpqfCcIWUgJUmSJEm54JI9qTwG95AqLwMpSZIkScoDl+xJpeFd9gykJEmSJCkXBmdIZToMSSlKSpxIGUhJkiRJUg6U+LpUKp0aLtkzkJIkSZKkHBi4y55TpKTCG1yyV95IykBKkiRJknLEPEoqvoHzvLx5lIGUJEmSJOVBc6JEzW3NpcJrnucVZ0hJkiRJkrKUMJBISSo6z3MDKUmSJEnKg+ZEiWq2w5CUgsE9pLIdR5YMpCRJkiQpT9xESiq8wbvslTeRMpCSJEmSpBxo7iVjHCUVnzOkDKQkSZIkKR+aW0iZSEmFV2uc6AZSkiRJkqRMNa9LayZSUmm4ZE+SJEmSlK3yXpdKpTOQO5f4vDeQkiRJkqQcGNhDyglSUuE1T/NKidfsGUhJkiRJUo64ZE8qvoHzvLx5lIGUJEmSJOVB4l32pNJwxZ6BlCRJkiTlwsCFqYmUVHzNCVIu2ZMkSZIkZal5XWoeJRVfrXGmlziPMpCSJEmSpHxobmpuJCUV3eAWUuVNpAykJEmSJCkHBmZImUdJhTcQSJU3jzKZjpAtAAAgAElEQVSQkiRJkqQ8KPF1qVRC3mWvO+sBDCeE8AHgZIzxfcN8bQrwSWAtcBh4U4zxkXRHKEnKkn1CkjSaTu0Tg3fZc4qUVHTNGVKVEk+RytUMqRDC3BDCJ4HfGOVpvwIcjDGeB/w/wKfTGJskKXv2CUnSaDq+T7hkTyoNz/P8zZB6NfAo8GejPOdVwP8GiDF+J4TQH0JYEWNcn8YAJUmZsk9IkkbT0X2iOU/ixjueZu7MKZmOpR1mzJjCoUPHsh7GhBWlDihOLUWoY/uew0C595DKVSAVY/xbgBDC+0Z52lJg85DHm4FlwJgaSF/frPEOryX9/bNTeZ3JVpQ6oDi1FKUOKE4tRamjE9gn8qcodUBxailKHVCcWopSRyfo9D6xpgbzZk/l/sd3TNprSMqPBXOnsWDedHpnT8t6KJnIJJAKIbwR+OApn34kxnjtGP56BZ6xqDoBqmN97Z07D1CtTu7cuP7+2Wzfvn9SXyMNRakDilNLUeqA4tRSlDoqlSS1IGYs7BOdoSh1QHFqKUodUJxailKHfWLQZPaJqQn83ft+tBA/M1Ccn/+i1AHFqaUodQD0zp7W8bWMt0dkEkjFGL8AfGGcf30DsAR4vPF4MbCpHeOSJOWDfUKSNBr7hCR1vlxtaj5GXwN+BiCEcDVwJA/rvSVJuWGfkCSNxj4hSTnQEYFUCOHtIYT3Nx5+GJgaQngQ+BBwfXYjkyTlgX1CkjQa+4Qk5U+uNjVvijG+75THHxvy8RHgLWmPSZKUH/YJSdJo7BOSlH8dMUNKkiRJkiRJxWEgJUmSJEmSpFQZSEmSJEmSJClVBlKSJEmSJElKlYGUJEmSJEmSUmUgJUmSJEmSpFQZSEmSJEmSJClVBlKSJEmSJElKlYGUJEmSJEmSUmUgJUmSJEmSpFQZSEmSJEmSJClVBlKSJEmSJElKlYGUJEmSJEmSUmUgJUmSJEmSpFR1Zz2AFHUBVCpJKi+W1utMtqLUAcWppSh1QHFqKUIdQ2roynIcGbNPjENR6oDi1FKUOqA4tRShDvsEkGKfKMLPTFNRailKHVCcWopSB3R+LePtEUmtVmv/aPLpauDmrAchSTl3DXBL1oPIiH1Ckk7PPiFJGklLPaJMgdRU4ApgM3Ay47FIUt50AUuAO4CjGY8lK/YJSRqZfcI+IUkjGVePKFMgJUmSJEmSpBxwU3NJkiRJkiSlykBKkiRJkiRJqTKQkiRJkiRJUqoMpCRJkiRJkpQqAylJkiRJkiSlykBKkiRJkiRJqTKQkiRJkiRJUqq6sx5AkYQQ3gS8B+gB/iLG+FcZD2ncQghzgFuBH48xPpnxcMYthPC7wE81Hv5bjPHdWY5nIkII7wfeANSAT8YY/zzjIU1ICOFPgQUxxp/NeizjFUL4FrAQON741C/GGG/LcEjjEkL4CeB3gZnAjTHGX814SIVln8ifovSJovUIsE/kiX0iPfaJ/LFP5Fen94mi9AgYf59whlSbhBDOAH4fuBq4BPiFEML52Y5qfEIIzwVuAVZnPZaJCCFcC7wcuJT6Mbk8hPDabEc1PiGEFwEvBS4C1gLvCiGEbEc1fiGEHwHekvU4JiKEkFA/Ry6OMV7S+NNxDSSEcDbwMeA11H++Lgsh/Fi2oyom+0T+FKVPFK1HgH0iT+wT6bFP5I99Ir86vU8UpUfAxPqEgVT7XAvcFGPcFWM8CHyRegLdid4G/DKwKeuBTNBm4DdijMdijMeBh4EVGY9pXGKM3wZeEmM8QT1F7wYOZjuq8QkhzKf+y9b/yXosE9Rs4jeGEO4LIbwz09GM32uBf4wxbmicJ9cBHdkMO4B9In8K0SeK1CPAPpFD9on02Cfyxz6RQwXpE0XpETCBPuGSvfZZSv0frKbNwJUZjWVCYow/D9DhoTkxxgebH4cQVlGfantVdiOamBjj8RDC7wH/E/gCsDHjIY3Xx4HfAZZnPZAJ6gX+E3gX9Wn1/xVCiDHGb2Q7rJadCxwLIXyF+i9YXwXem+2QCss+kTNF6hMF6hFgn8gb+0R67BM5Y5/IrSL0iaL0CJhAn3CGVPtUqK/HbUqAakZj0RAhhOcA3wB+M8b4aNbjmYgY4+8C/dT/8X1bxsNpWQjh54GnY4z/mfVYJirG+L0Y48/EGPfGGHcAnwRemfW4xqGb+juybwWeDzyXDp7+nHP2iZwqSp/o9B4B9omcsk+kxz6RU/aJ/ChKnyhQj4AJ9AkDqfbZACwZ8ngxnT9FteOFEK6injz/VozxM1mPZ7xCCGtCCJcAxBgPAf9MfX1up7kOeHkI4V7g/cBPhhA+mPGYxiWEcHVj7XpTwuCGhJ1kC/DNGOP2GONh4Mt06LuxHcA+kUNF6BMF6hFgn8gj+0R67BM5ZJ/InUL0iQL1CJhAn3DJXvt8E3hfCKGf+nrc1wO/kO2Qyi2EsBy4AbguxnhT1uOZoLOB3wshXE39nbNXA5/KdkitizG+rPlxCOFngRfHGH8tuxFNyDzg/SGEF1CfZvsW4O3ZDmlcvgp8JoQwD9gP/Bj180btZ5/ImQL1iUL0CLBP5JR9Ij32iZyxT+RPgfpEUXoETKBPOEOqTWKMG6mvY/0WcC/wuRjj7dmOqvT+JzAN+PMQwr2NPx15kscYvwb8G3APcBdwa4zxH7IdVbnFGL/KM4/Jp2KM38t2VK1r3M3jj6nfCech4CngbzIdVEHZJ3KpEH3CHpFP9gm1yj6RS/YJTYqi9AiYWJ9IarXa6Z8lSZIkSZIktYkzpCRJkiRJkpQqAylJkiRJkiSlykBKkiRJkiRJqTKQkiRJkiRJUqoMpCRJkiRJkpQqAykpIyGEG0MIC7IehyQpn+wTkqTR2CfU6QykpOy8LOsBSJJyzT4hSRqNfUIdzUBKykAI4W8aH34rhLA808FIknLHPiFJGo19QkWQ1Gq1rMcglVIIoQb0xxh3ZD0WSVL+2CckSaOxT6jTOUNKkiRJkiRJqTKQkiRJkiRJUqoMpKTsnAR6sh6EJCm37BOSpNHYJ9TRDKSk7HwB+HYI4YKsByJJyiX7hCRpNPYJdTQ3NZckSZIkSVKqnCElSZIkSZKkVBlISZIkSZIkKVUGUpIkSZIkSUqVgZQkSZIkSZJSZSAlSZIkSZKkVBlISZIkSZIkKVUGUpIkSZIkSUqVgZQkSZIkSZJSZSAlSZIkSZKkVBlISZIkSZIkKVUGUpIkSZIkSUqVgZQkSZIkSZJSZSAlSZIkSZKkVBlISZIkSZIkKVUGUpIkSZIkSUpVd9YDSNFU4ApgM3Ay47FIUt50AUuAO4CjGY8lK/YJSRqZfcI+IUkjGVePKFMgdQVwc9aDkKScuwa4JetBZMQ+IUmnZ5+QJI2kpR5RpkBqM8Du3QepVmuT+kJ9fbPYufPApL5GGopSBxSnlqLUAcWppSh1VCoJvb0zofFvZUnZJ1pUlDqgOLUUpQ4oTi1FqcM+AaTUJ4ryMwPFqaUodUBxailKHVCMWsbbI8oUSJ0EqFZrk36h0XydIihKHVCcWopSBxSnlqLU0VDmJQj2iXEoSh1QnFqKUgcUp5ai1NFgn0ihTxTpZ6YotRSlDihOLUWpAwpVS0s9wk3NJUmSJEmSlCoDKUmSJEmSJKXKQEqSJEmSJEmpMpCSJEmSJElSqgykJEmSJEmSlCoDKUmSJEmSJKXKQEqSJEmSJEmpMpCSJEmSJElSqgykJEmSJEmSlCoDKUmSJEmSJKXKQEqSJEmSJEmpMpCSJEmSJElSqgykJEmSJEmSlCoDKUmSJEmSJKWqO+sBDCeEMAe4FfjxGOOTp3ztEuATwBzgO8DbY4wnUh+kJCkz9glJ0mjsE5KUf7mbIRVCeC5wC7B6hKd8FnhnjHE1kABvS2tskqTs2SckSaOxT0hSZ8hdIEW9IfwysOnUL4QQVgLTY4zfb3zq08Ab0xuaJCkH7BOSpNHYJySpA+RuyV6M8ecBQgjDfXkpsHnI483AshSGNSYnq1X+8LN3s6B3Bs87byEXnt1HpZJkPSxJKpRO7hMHjxznDz57N79y3aUsnD0l6+FIUiF1cp9o1d4DR/nYvzzIoaMneOurzmPFotlZD2ncbrp7A1///nouD/1c99JzSZLOvI7a0zgmhwtwTP7zrg38+23rWbumn596icdE7Ze7QOo0KkBtyOMEqLbyDfr6ZrV1QEMdPHycxzft44nN+7jtwS0smDedl1+5gmuvXEl/7/RJe93J1N9fnJO1KLUUpQ4oTi1FqaMg8t0nNu9j046D/M1XH+RP3nVNx/5iN1SRfv6LUktR6oDi1FKUOgoi132iaaw/Mx/9yoOs27yPqT1dfPwrD/GR//VSurvytQhmLLX8cP1uPnvjD5k/Zyo33vE055+zgB+5YkUKoxu7sR6Tj/zLgzy5eR89PV18/F8f4iPv7sxjEp/axd9/o35M/uP2+jF56drOPyb/X+OYdHXgMSmiTgukNgBLhjxezDBTcUezc+cBqtXa6Z84DoeOHAfgZ155PjOnVPj2vZv4/I2Rz38jctHZfbzokjO48Jz5dFXy9cM/kv7+2Wzfvj/rYbRFUWopSh1QnFqKUkelkqTyC3YKct0ndu06CEB8ajc33fYUF53TNymvk5ai/PxDcWopSh1QnFqKUod9YtBk9gkY+8/Mxu0HuOOhrbzuhWezrH8WH/rS/Xz9lsd53vmLJ21srRprLZ//94eZOa2bD7z1ufzx5+/h8zdGLlw5Lzdv3Iy1jg3bD3Dnw1t5/YvOZumCmXz4Sz/g329Zx3PPX5TCKMdmzMfkPx5h1vSe+jH53D38w42RC1Z04DHZNuSY9M3kw//8A/79u+u48rzOOyZ5Nt4e0RnJSEOM8SngSAjhqsanrge+nuGQnqHZlrq7K1weFvLr113CH779+bzq+St5cst+PvSl+3n3R7/HDTevY+feI5mOVZKKKPd9ojZ4AXPDzeue8ViSNPny3idacVfcTgJcc9ESLjq3j745U/neA1uzHlbLjh4/yf2P7+TK8xcxfWo3L7n0DLbuOsQTmzvvAr15TK6+aCkXn7uA+XOm8r0Ht2Q9rJYdPX6SHzy+kyvPW1g/Jpedweadh3hyS+cdkzvjtsZ5spSLVy2gd/ZUbn2g845JUXVEIBVC+FoIYW3j4ZuBD4YQHgFmAR/KbmTP1LyuGJoZ98+bzuteeA5/8o4X8M7XXciy/ln863ef5N0fvZW/+MJ93P3D7Zw42dIsYUnSKTqtT1x5/mKe3LKf+x7bme2AJKkkOqVPtOLuR7dzzhlzmTtrKpUk4fKwkIef2s3xEyezHlpLHnpiF8dOVLlsdT8Al4d+EuAH6zqvR97zw+2cs2wuc2dOqR+T1Qt56MnOOyYPnnJMLlvdOCaPd+AxeXQH5y6by5yBY9LfOE+8Bs+D3C7ZizGeOeTjVw75+D7gyizGdDrNd7qHm8bY3VXhstX9XLa6nx17D3PzfZu5+f5N/OU//4A5M6fwgucs5qqLlnDGgplpD1uSOlIn9omml16xnCc37eWGm9dx8bl9uZn+LklF0sl94nR27j3C+q0H+KmXnDvwuTUre7nxjqd5fOM+1qzszXB0rbnn0R3MmNpNWD4PgJnTelixaDZx/W7grGwH14Idew+zftszj8l5K3v5xp1Ps27TPsKKTjom25k5rZvVjWMya3oPyxfN4pH1u/nJTjomew7z9LYDXPfSZx6Tb961gXWb9nbUMSmqjpgh1SmaCy9Od12xYO50XvvCs/mTd7yAd73+Qs5ZOodv3Pk07/3EbXzgM3fyrXs2DuxHJUkqjlqjU3RXEn7iqjNZv+0Ad/9wR8ajkiR1mkc37gHqF9dNq5fNI0ngkfW7sxrWuDy6cS9hxbxnbPy9ZuU8Htu4r6NmFj22YS8A55855Jgsn0uSwMNPddYxeWzDXlYvP+WYrOjtuGPy6Mb6MXnGebJiHgnwyPo9GY1KQxlItdMwS/ZG01WpcOmqft71+ov4s1++iuteei7HTpzk7/4j8mt/+V0+/pUHefCJXVTdY0SSCmFgaXcl4XnPWcSi+TO44ZZ1k7o5riSpeJ7YtJ8p3RWWLRxcXTFjWjcrF83mkQ4KPw4eOc7WXYc4e+mcZ3w+rOjlxMkqj23cl9HIWrdu8z6m9FQ4o3/oManP9uqk8OPA4eNs3X34WcdkTeOYPN5Bx+SJTc8+JjOnNWZ7ddB5UmQGUm00sDntOJZezJk5hVdcuYL3/48ree9b1nL1RUv4weM7+bN/vJd3f/RW/vk769i2+1CbRyxJStPQvQa7KhVee81ZbNx+0M01JUkteWLzPlYunv2su3efu2wuT27d3zFvdDyxuR5unLXkmeHHqmVzn/H1TvDE5n2cuejZx2TVGXN5csu+jplk8GTj//nZpxyTc5vHZEuHHZPFc559TJbN48kt+zvmmBSZgVQbNX+cKxPYCiRJEs5aMofrXx744Luu4u2vfg5L+2byb7c+yW99/Pv84d/fzS33b+bw0RNtGbMkKT3NJXvNPaOuWLOQs5bM5ss3r+PY8c6ZAi9Jys6Jk1We2rr/WSEOwPKFszh2vMq2PYczGFnrnti0jwQ4c/Eza5k5rYe+OVN5etuBbAbWohMnqzy15QBnLR35mGzf3RnHZN3mxjE55edr1vQe5nfaMdl64FnBGtSPydHjJ9neIedJkRlItVFtrJtIjVFPdxdXnreIX7/uEv7kHS/gdS88mz0HjvKprz3Mr334Fj7+lQe5//GdnKx6hwBJ6ginvBGXJAlvfPG57N5/lP+8a0M2Y5IkdZRNOw5y/ER12EBqxcLZAB0TGjyxeT+L+2YwY9qz77W1fOHsjqlj4/aDnDg5/DFZvmgW0DnH5MnGMZk+dZhj0j+rY+poHpMzl8x+1teWL2wck62dUUuR5fYue51sMu6VNH/ONH78BWfyquev5PGN+/jeg1u4/eGt3PbQVubM6OHK8xbx/AsWc+bi2d6tSZJyanAm7eC/02tW9nLROX189XtPcc3FS5k1vSebwUmSOsLGHQcBWNa4qB5q6YIZVJKEp7ft54o1C9MeWss27TjIisXPDgygXt/9j+/k+ImT9HR3pTyy1mxqHpP+Zx+TMxbMpJIkrN92gLUdcEw27jjwrBlrTcsXzeKBJ3Zx/ESVnu58z23ZuKMeNi0f5jw5Y8FMkqQeEnbCMSmyfP8UdZjmHlKTmQclScK5y+Zy/SsCH3zX1bzrdReyavk8/uvejXzgM3fyO399G//63SecfihJOVSrDX/3ize8+ByOHDvBV299MvUxSZI6y+adB6kkCYt6pz/raz3dXSzpm9ERMz+OHT/J9r2HWdo3Y9ivr1g4i2qtNhDA5dmmnQfpqiQsHOGYLO6bwYYOmFl07PhJduw5wtIFM4f9+vKFszlZrQ0EcHm2eechuioJ/fOefUym9HSxeP6MjpntVWTOkGqjwT3N05mh1N1V4dLV/Vy6up9DR45zZ9zOrQ9s4cs3P8GXb36CVcvm8vznLGbtmoW+4y5JOTBCHsWy/llcdcESbrp7A9devowFw/zyJEkSwKYdh1g0fzrdXcPPLVi2cBaPbcj/Xd227DpErcaI4UdzBtjT20aesZMXm3YcZGHvKMekf2ZH3J1uy65D1IAlI4SEyxp3q9uw/QArR5jZlhebdhxk0fwZIx6T5QtnsW5T/o9J0TlDqo0GNqvN4LVnTOvhhRcv5bfefBl//EvP5/UvOpsDh4/zt/8R+bUP38KHv3Q/tz20laPH3DRXkrI23PsWr7nmLCpJwj/91+PpD0iS1DE27TjIkr7hQxyAJfNnsGvf0dzfLGPzzvodxJeOUEv/vGl0VRK2dcBm4Jt2HhqxDoAlfTPZte8Ix0/k+5g0Zz6NFBL2z5tOVyVhawfc/b1+ngwfrAEsnj+DnXuPcPyE+zFnyRlS7TQwQyrbYSyYO51XPf9MXvm8lazfeoBbH9jC7Y9s5Z5HdzClp8Il5y7gyvMWceHZ83O/HluSimRwafezG8X8OdN45fNWcsMtT/DwU7s5b2Vv2sOTJOXciZNVtu0+zNo1/SM+Z+H86dSAbXsOD7unUV5s3nmQJIFF84cPDboqFRbMm86WXfkOP46fqN9Bb7Q9uxb1No7J7sOckeNjsmnnofox6R3+mHR3VVgwdxpbduU7JDx+on6nySvPWzTicxbNnzFwnpwxQgCnyWcg1UaD2Wo+NhVPkoSVi2ezcvFsrnvpuTy6YQ+3PbyNOx/Zxu0Pb2P61C4uXdXPlect4vwze0eczihJao/aad64+NHnruDm+zfz+W/+kN/9uSvoqvjvsiRp0Nbdh6nWaqPOkGqGCVt35TuQ2rTzEP3zpo+6Ofai3ulszXn4sW33Iaq12oh7YcFg6LY154HU5p0HWXi6YzJ/BttyHhJu3V1fDrpkwSjHpHGebNt1yEAqQwZS7dS40sjj9UOlkhBW9BJW9PKma1fxyFO7uf3hbdz1w/q+UzOndbN2zUKuXLOQsKKXSiUfoZokFUnzLnvJCG9cTOnp4rqXnstHbniA/7pnEz9y+bL0BidJyr1tjaVSi0eYVQRDAqmcL6vatvvQqHVAvZZH1u+mVqvl9k7izSWFI830AgY2oM//MTl82mOysHc6cf2ejjgmo54n85vHJN+BZ9EZSLVRbeCjfJ6YTd1dFS44u48Lzu7j+lcEHnhiJ7c/vI3vP7iVb9+7ibkzp7B2zUJe/vwz6ZvZ84zbk0uSJmCkXc2HuDz0c97KXm64eR3PPX+RN6WQJA3YvucIwLB3DmuaMa2bOTN62JrjWSy1Wo3tew6z6ox5oz5v0fzpHDteZc+BY/TOnprS6FrTvLv56Mekh9kzenI926t5TMLy0xyT3hkcPX6y44/JzGk9zJrek/uQsOgMpNopJ3tItaKnu8Klq/q5dFU/R4+f5P7Hd3L7Q/Vg6j/v2sDcWVO4bHU/a1f3s3rFPJePSNIENN+4GC3oT5KEn752Fe/71B18+TvruP4VIZ3BSZJyb/uew0yf2sXMaaNfxi2cPyPXMz8OHjnB4aMn6Z83bdTnNWcdbdl1KMfhxxGmT+0+7TFZ1Dsj1yHhgcPHOXLs5KghDgzOOtq2O8/H5DAzpnYzc9rob+otmj8918ekDAyk2qhay+4ue+0wtaeLK9Ys5Io1Czl89ATrth3kv+5Yz3fv38y37t7IrOk9XLZ6AZeHhZy30j2nJKlVtdrpnwOwrH8WL7nsDG66awNXX7SEs5bk+3bXkqR0bN9zmP6500+7VGpR73QeeGJXSqNq3VhmsAAsanx92+5Dub3Zx/a9h+mfN21Mx+Shp3anNKrWjWX2HdSX7EF9qVtYkdNjsufIaeuAekj4cI6PSRkYSE2CvK6lbcX0qd28+LJlPGf5XI4eO8kP1u3kzriN2x7exnfu28yMqd1csmoBl4d+LjjLu/VJ0ljUaN5l7/TPfe01Z3Nn3MZnvv4I7/3Ztc5QlSSxfc9hlo6yoXlT/9zp7D1wjOMnqqNuUJ2VsQZSvXOmUkkSdu47ksawxmX7nsMsHcOm2AvmTWfPA1s4cbKayzf2B4/J6LPW5jeOyY69+T4my/rHcEzmTmPPgaO5PSZlYCDVRqe7e1Knmjqli7VrFrJ2zUKOnzjJg0/s5q64jXse3cGtD2xh6pQuLj6nj7VhIRee3cfUKYZTkjSsgS2kTt8oZkzr5s3XruYjNzzAN+7YwI8+d8UkD06SlGfVWo0de49w8TkLTvvcvrn1UGHXviOjbradlWb4seA04UdXpULv7Km5DT+qtRrb9xzh4nPHcEzmTKNG/Zgs7M3zMRk9JKwfkyns3JvPJaH18+Qwl64a23lSq8Gu/UdZOIYZVWo/A6k2Ot3dk4qgp7uLS1Yt4JJVCzhxssoj63dz5yPbuefR7dz+8DamdFd4zlnzuWTVAi4+dwFzZkzJesiSlBvVZiA1xjfhLg/9XHxOHzfcso61a/pZMNdfliSprJoznk43gwXq4QfAjhwHUnNm9DBtyukvR/vmTmNnTgOpvQeOceJkdUzLw5oh4c69+Q2k5s6cwtSe008u6JuT32OyZ/9RTpysjemYLJgz5JgYSGXCQKqNas09pEoy26+7q8IFZ/VxwVl9XP+K1Tz69F7uitu557Ht3PPoDpIEzj1jLpeu6ueSVQtOewtRSSq+1vYaTJKEN798Ne/5xG189sYf8qtvuKgQy8IlSa3bsXdsM1igvhQJyG1osH3PkTHVAfVa8rrPz8Ayt7mnDwmbxySvs7127D1y2hlrTX1zpxOfzucxaf7/HUstfY2fwfq5lc/9sIrOQKqdWliKUTRdlQprVvayZmUvb3rZKtZvPcA9j27n3kd38E/feox/+tZjLOmbwSWrFnDpqn7OXjpn1LtMSVIRDS7tHvu/fwvmTue115zNP970GHc8so0rz1s0SaOTJOXZrn1HAZg/hjubzZs9lSTJb/ixa/9Rlo9hjx+oz8bJ6z4/u/bX///2zjl9+NHbOCZ53Q9r174jrFg0e0zP7Zs7jd0P5fSYNP7/zp99+mMyf/ZUEvIb3JaBgVQbDdw8qeQ5S5IkrFw8m5WLZ/Oaa85mx97D3PvoDu59bAc33v40X//+eubM6OHic+vh1Pln9jJlDFNDJanTjfEme89y7dplfP+hrXz2xh+yZkUvc2a6HFqSymb3/nog1TuGC+3urvreS3m80K7Vauzef4SLz+kb0/Ob+/zs3n90TMuw0tQ8JmMJCbu7KsybledjcnRMe2FBfbZXrVZfHjfWmW5pGTxPxnhMZk/NbUhYBgZSbTSwZC/jceTNgrnTuXbtcq5du5xDR45z/7qd3PvoDu6M27j5/s1M6anwnDPnc/G5C7jw7L4x/eMhSZ2o2SdanSHaVanw1ledx/s/fQd/d2PkHa+5wKV7klQyu/YfYdqULmZMG9sl3II503K58fShoyc4drw65t/5hy51y10gte8o06d2MX3qGI/J3Gm5nMs6IggAACAASURBVLV28MgJjp2oMn8MM71gcD+s+jK/fB2TXfuPMn1q95iPSZ73KCsDA6k2Gs9SjLKZMa2H552/mOedv5gTJ6vE9XvqS/se28E9j+4AYMWiWVx0Th8XnbOAs5fMoVLx/6ekghi8+0XLlvXP4tVXn8WXvr3OpXuS/n/27jtKsvys7//73kpducP09ExP2pkNd3PQrhJoJWQkgsBgSUQtAluAzbEx/hkbcyQw0QYHMDKYaMCykARYgXgktAgtEgqr1WrzrvZumN2dnLsrd8X7++NWVfeMVjtdVTd11+d1zpzp6a6uut9+qub2fep5nq9MoZVKc6Q3bheKMzx1dNXHIxrPSnnzFSxw8TDwqHFjsrkkDrhreeZYyccjGs8olV6wYRh4BCuLLpTXNr0OcNfyzPHoxWRaKCHlA+WjNicec3fku+HgPHe98RqOn6vxyLPneeTZ83z080f468+9QC6d4MZD89x8pTs8PZdOhH3YIiJjmyAfBcA3vXI/Dzx1jj/6uI21b5ZiThWlIiLT4kK5OdKF9lx+htVqi57jRGp262Du0marceb657qVatO3YxrXhcraSEnCuXyKlUoTx3EiVcQwmLu02bUMbjdIZEXJSqXJXGG0mKxWoxeTaaGElIecEXdPknWGYbB3McfexRxvetUBamttHn/uAo88e55HD5/n3sdPYxhw5Z4iNx9a4OYrF9i3M6f/NERkS5m0knbQuvdz/+eLvPfjNj/6lpv0/6CIyJRYqayxZ3Fzc5fAvdDu9hwq9TbFCM0evDBiNU4yESM7E2c1gsmPC5Umexdzm779XK4fk0abQiY6MRlWSG0ySTiISRSThCuVJvuXNh+T2XyKTteh2miTj1BMpoUSUh5Sy553sjMJXnHdEq+4bome4/DcyTKPPnueh589z0c+fZiPfPowc/kUNx1a4KZD81x3YI7MjKqnRCTahrMGJzhNLO/I8pbXHuL/3fMMn374BK+7dY9HRyciIlHV6fYoVVsjVUjN9iuLVivNSCWkVspNDAOKuc0f06CyKEo63R7lamukCqmNMYlSQupCpYlpGCM9T2bzqcglCTvdHuVaa6Q2ymEFXqWphFQIlJDy0HpCKtzj2G5Mw+DK5SJXLhf5J3ceYrXa5NHDbmvffV8+zacfPoFpGBxaLnDDwXluPDjPQc2eEpEIm/SNi294xT4ee+48f/yJp7lm3yy7Fza3dbaIiGxNpWoLh823VAHM5t2L65VqkwPkfTqy0V2orDGbSxEzzU1/z2zObauKktVqE4fNVxXBxa1u+5eiE5OV8hrFXHKk66dIxqTSj8lIr5N+krDaYr/GcwZOCSkPDVv2lJHy1WwuxZ03L3Pnzct0uj0Onyjz2HMXePy58/zlZ57jLz7zHJlUnOuvmOsnqBZYXIzOf/giMr0mnSE1YBoGP/St1/Mzf3Afv/sXj/NT338Hifjmf7EXEZGtZX0r+9ErP6JWxTLqcHZwkwZHz1Z9OqLxrMdktHlFQOQSORcqo80nA/f5dTxiMRm0g440QyoXzZhMCyWkvORc/ibirXjM5Jp9s1yzb5a3vPYQ1UabJ56/0E9QXeB++ywAexZzXLd/lhsOznPt/jlSyVjIRy4i08gZltJOfl+zuRTveNN1/PqHH+HDn3qW7/n6qye/UxERiaT1QeCbv9Au5pIYRG/w9EqlyfKO0Sp753IpyrUW3V5vpMoqP426Mx1AIRvdmOzdufm5S+AmCUsRi8ngdTJK4nbQOhq1mEwLJaQ8NHznWwVSocml12dPOY7DifN1Hn/uAk8dL/Hph0/wiS8dI2YaXL23yA0H57n+inkOLOXV3icigRjko7za7ejWq3fw9S/by91fPMr1V7g7koqIyPYzTvIjZpoUsslIVX44jsOFcpMbD452vprNp3AcKNfaI1dX+eVCefSqtXjMJB/BmKxUmiP/DjGXS0YuJuO8TuIxk0ImEamYTBMlpDy0PqxWyY0oMAyDPTuy7NmR5a43Xc+Jk6s8dazE489d4LHDF/jwpw7z4U8dJp2Kc+3+Wa49MMf1B+ZY3pFVDEXEF44PpbTf+forsY+u8r//6nF+9p+9nB3FtOePISIi4bpQbpJKxEinRrt8m82nIrUTWqPZodnujpzA2Dh4OirJjwuVNVLJGOnUaJ0Xc7kUK5WWT0c1uvqYMZnd0H4YmZiUm6RTY75OVCEVCiWkPORhJ4b4IBGPccMV89xwxTzf9Xoo1Vo8+cIKX35hhS+/cIEHnz4HuKW01x2YG/5ZnNXFnYh4xIfNL5KJGP/qzTfyC//3i/zWnz3GO7/vZSTiaksWEdlOViprzOVTI79pOpdLca7U8OmoRjeY8TNK6yFcPAw8Klb6c5dGjclsLjn8OUTBSnn0WVgbb79SaXJwt+eHNRY3Ybn5irWB2Vz0dgycFkpI+UDFNVtDMZvkldcv8crr3e0Uzq023OTUkRW+/PwKX3jiNAA7ijPD6qlrD8wNt2sVERnVemu3gZeDB5fmM/zQt1zPb3zkUT7wiaf5gW+61rP7FhGR8K1WW2NVoczlUzxzvOTDEY1n0BY16u/TsxEcBr5abY51XTCXT/HsibIPRzSewc903Kq1qMVkrj8TahRz+RTPn4xOTKaJElIeGrbsqUZqS9oxm+bO2TR33rKM4zicPF/vV0+t8IB9ls88chKA5R1Zrt3vDlK39s9RzI7+n56ITKf11m483wjjtmsWedOrDvDRe1/gyuUir7k5Im9XiojIxEq1JlcuF0f+vtlckmqjTbvTjUT1bKnqtqoVR0wa5DMJYqYRqeRHqdriqr1jxCSf6sekF4kdcku1fkxGvKbJZ5KYhhGpqrVStcXSvtmRv28ul6Jcb9Pp9ojHwo/JNFFCykPDlj09h7c8wzBY3pFleUeWr799L72ew5EzFTdB9fwKn330FJ984DgAu+YzWIME1b5Z5gujl4mKyHRYb+32ISMFvPm1Bzl8osQf3W2zb2eOA7vynj+GiIgEr1RrURjjTdBBZdFKtcXOCIyhKI+Z/DANg2IuGZnkh+M4lGutsd6Ynt1QWRSF0SCDhNSozy/TdGMSlVY3x3Eo1VojJzvh4go8zeIMlhJSHhq2YqhCatsxTYMrdhW4YleBb37lATrdHkdOV7GPrmAfWeW+L5/hUw+dAGBxdqafnJrD2j/LjuKMhqSLyEX8qJACd0elH/n2G/n593yR3/jII/zH77+DotqMRUS2tLVWh1a7N9aF9qANa7XSjERCqlRrkUrEmEmOfhk6l0tFpkJqrdWl1elRzI7XsgfRSUiVay1SyTFjko9OTBrNLp1uj0JmkiRhSwmpgCkh5SVNNZ8a8ZjJoeUCh5bdBFWv53D0TBX76Cr2kRUeevocn330FOD+R23td6unrtk3y675jBJUIlOq5/iQhbpEIZvkx956M7/8/i/xGx95lP/wvbeRTITfpiEiIuMZVrBMdKEdjaRBudaikE2M9b2zuRQnztc8PqLxlIdVRaOvZeOOgVFQqrUojvHcAjcmpy7UPT6i8ZRq7s9z0sStBEsJKQ+tV0jJtDFNgwO78hzYlecbXr6PnuNw4lwN+8gq9tFVnnh+hXsfd4ekFzIJrto7y1V7ily9t8iBXXn1KotMi/6JwvQ5KX1gV54f/tbr+c0/e4z/87En+ef/+HolwkVEtqhx5y7BhoRURC60S7XWWFVF4LZVPfHCisdHNJ71uUujr2W9Pazl6TGNq1RtUhjjuQXujLInIxKTcdtBwV0HwEpEErfTRAkpDw0LpPRL/9QzDYO9izn2Lub4+tv34jgOpy7UsY+u8vTREs8cX+WBp84CkIibHNyVd5NUe4tctadILj3eO0ciEm3D+qgAThO3Wzt56+sO8eFPHWb3fIZve81B/x9UREQ8V54g+ZGdiRMzDUr1aCQ/yrUWu+YzY31vIZuk0exEYkD7uIPAATL9mAziGrZyvc3uhfFiUswmqTc7kRjQPklMsukEphGdmEwTJaQ85LBh9ySRDQzDYPdClt0LWb7u1j2AWzr9zLESzxwv8fSxEh+/7wgfvdd9Du1eyHD13iJX7Znl6r1Fds6llegU2UaCmjX4plcd4OT5On/+mefYOZ/mVdfvCuRxRUTEO5NcaBuGQSGbjMyFdqnW4pr9o++CBuvrL9faLBRDTkj1K2nGqSwyDYN8JhGdmFSbXDtmTAaD0Cv1VugbO407nB36MclGJybTRAkpL120e5LIS5vNpbjj2p3cce1OAJrtLs+fLPN0P0l1/5Nn+fTDJwG3ze/KPUVutZbYNZviwFJeM2FEtqDBDCnD8GWm+VcwDIMf+KZrOVda4w/++svkM0luuGI+gEcWERGvlGotDIOxK+jdhFTb46MaXafbo9pojz2vaDBDq1xvsVAMN/lRrrcwDWOymESgaq3d6VFb64yVxIH15E+pFn5CqlxrETMNsmPGpJiJTuJ2migh5aHhDCnlo2QMqUQMa/8c1v45wL1wPXmuxtPHS24l1bESDz79OAAx02Dvzpw7WH13gSv3FFlSFZVI9A1bu4NJSIHbFvxjb72J//L+B/hf/SHnB3cXAnp0ERGZVLnWpJBJYprj/Z5XzCYjMdR8OAh8zHlFgxlapQjMXipVW+SzibFnQhazqUiso1Ifv/oOLk5Iha1UbVHIJseOSSGXjMQ6po0SUh5yHLXsiXdMw2DPYo49i7lhm198JsEXHz3B4RNlDp8o8/nHTnHPA8cBd0bAwd2F/u5/RQ4tFzSLSiRi1t+4CPZEkZlJ8G+/61Z++X1f4t0ffJh3ft/tY8/wEBGRYJWqrbETBuAmDY6crnh4ROMpT5r82FAhFTZ3OPskMUlw7GzVwyMazyTD2d3vG7RRhh+Tcr011k6UA8VMkhPnorGL4zSJXELKsqy3AT8NJIB327b9m5d8/WeBdwCDcf7/+9LbhEVDzcVvc/kZbrt6kduuXgSg13M4cb42TFAdPlHirz73/PC5uDSXvihBtW9nTjv6yZa3lc8TgxdnGGeJuXyKf/fdt/JL7/sSv/onD/Gut98+3OZYRGQ72dLniRdRqrXGrioCN2lQqbfpOY7vu7y+lOFugWMmPwpZ943WKFSxTLJbIDCc6+U4TqjXjsOE1LhVaxFKSJWqrbHXAdGJybSJVELKsqw9wH8GbgeawOcsy7rHtu0nNtzsDuB7bNv+fBjH+FKCar8QGTDN9d38XnvLMgCNZocXTlV49kSJwyfKPPH8Cp9//DQA8ZjJgaUcV+wqcMXuPFfsyrN7ITt2CbhI0Lb6eaI3LJEK5/GX5jP82++6hf/6gQf5lT95kJ9828vGnhshIhJFW/088WLK9RZ7dmTH/v5CJkm351Bf64RaPb8+dHq8Y0jEY6RT8UgkP8q1FnsXx49JsR+TWsgxGbZRjllZ5MYkFomYlGpN9i3lxv7+QjZJp+vQaHbIzKjLJCiRSkgBbwA+adv2BQDLsj4EfAfwCxtucwfwLsuyDgCfBv69bdtrgR/pi9kwG0QkLOlUnGsPzHHtAXcWleM4XCg3OXyyzLPHSzx/qsJnHjvJ3z1wDIBkwuTAUv6iJNXSfCbUd9BEXsLWPk/0hfn6umJXgf/vO27m1z74MP/9jx/kJ95220Ql7iIiEbMtzhMDjuO4s3EmrPwAdze1KCQ/Jml1K2bDn/PTcxzKk1ZI5dZnL0UjSTjB8ysTjZhU6u2Jn1vg/kyUkApO1BJSy8DJDf8+Cbxi8A/LsnLAg8BPAM8A7wH+I/BTm32AhYXxs6aXkz/t9gEbhsHiYt63xwnSdlkHbJ+1jLOOnTvh2qsWh//u9hxOnK3y9NFVnjm2yjNHV/nUwyf42/u7gJvUunJvkav2znL1vlmu2jfL7oWs5+Wr0xwTGduWPk9kN/zyGubzZnExT6GY5ud//wu8+4OP8J9+5Gso5sb7xXo7Pf+3y1q2yzpg+6xlu6xji9jS54mBwXOmUm/R7TnsWSqM/Tzav8fNtRmJeCjPxcFjtnoO2XSC5d2zY9/XwmyaRqsb6jrKtUFM8uPHZNmNiZmIhbqWdtchl06wvLs49n0tzKZptMONSanapNtzWPYgJmG/TqZN1BJSJhd3vhlAb/AP27arwJsG/7Ys61eBP2SEE8j581V6PX+a60qlBuAe9Nmz4Q8OnNTiYn5brAO2z1q8XMeMCTcdmOWmA+4vBd1ej5Pn6jx3qszzpyq8cKrCX3/mOTpd9yWYScU5sCvPFbvzHFjKs29nbqJKKsUkWkzTCOQXbA9s6fNEpdr/ZccwQn/e7C7O8GNvvYn/+aFHeOdvfoaf+N7bRn6Xdrs8/2H7rGW7rAO2z1q2yzp0nljn53kCLn7OHO8PWTad3tjPI6ftvuF45MQqy7Mz3hzkJm1cy6lzNfLpxESvh3QyxrEz1cBfUxfFpD+M3HScCWLSAeDI8RK7i2HGpEo+M1lMMskYx8/VQo3JYEB8bIKY9DqDmKyyqxDsjM3tcJ4Y9xwRtYTUMeDODf/eBZwY/MOyrP3AG2zb/sP+pwygHdzhvTQNNZetLGaa7N2ZY+/OHHfe7H6u0+1x4lyN509VeP5kmedOVbj7vqN0+7+EpRIx9u3MsW8pN0xS7V3MkojHQlyJbHPb5DwR7nEMXH/FPP/6rTfx6x96lP/2gQf5d99z60Tl7iIiEbClzxOXKk+4Cxqst2OVa+Eus1xtTnyOKWaTPBFye5gnrYf9quSwZy9NulsguM+vL7+wcvkb+qjkUTsohB+TaRO1hNQngJ+zLGsRqAFvBf75hq83gP9mWdY9wPPAvwL+LOiD/Or6uydF5EJDZFLxmMn+pTz7l/LDoentTo+T52u8cLrC0dNVjpyu8PnHTnHPA8cBdzbO7h0Z9u/Ms38p1//+HFn1Yos3tvZ5YrDLXoROFDceXODffMfN/MZHHuGX3/cl/v333MqOYjrswxIRGdfWPk9colRrApNdaGdn4sRMY3hfYSnV2xyYYOg0uMmPerNDu9MN7Q3QSXemA8gMYxJ+cu3ArslaxQrZJLW1Du1Oj0Q8nN28yx7MwsqmE5hG+DGZNpFKSNm2fdyyrJ8C7gGSwO/btn2fZVkfBX7Gtu37Lcv6F8Bf9b/+GeBXwzvii6lCSqZBIr6epBroOQ7nVhscOV3lyJkKR05X+fILF/j846eGt1kozFyUoLolFsPQtqoyoi1/nuj/HbVn/Q0H5/n3330b7/7gw/zy+x7g3333rSxPsKOTiEhYtvp54lLl6uTJD8Mwhlvah6lca1LIzk90H8UN1V4LxZATUhMkP0zDIJ9JhB6T0oTD2WE9CVSpt5gvBNt+OFCqTl5JaBoG+Wz4MZk2kUpIAdi2/QHgA5d87k0bPv4w8OGgj2szonqhIeI30zDYOZdh51yGO67dOfx8udbiyBm3kuqF0xWOnqny0NPn+q+VR5lJxtizmGXfYo49i267396dqqaSl7alzxMRa9nb6Kq9RX7yrpfxq3/6EP/l/Q/w4999C1fsKoR9WCIiI9vK54lLlWot4jGDTGqyy7ZCJhlqy16r3aXR7E7eHtbfFbZcb7EQ8OylgUFM0pPGJJukXA8v+dFsd1lrdSlkJ/u9u5hZ350urIRUudYiHjNJpyZLUhYz4Sdup03kElJbmTO80gj3OESiopBNcuPBBW48uDD8XLPV5djZKquNDk8ePs+xs1W++OQZ/v6h4XgH5vIp9m5IUO1dzLF7IUM8Fk4ZsIhXHPwbguuFfTtzvPOul/Erf/IQ//X9D/Ij334Dt1y1I+zDEhGZWuVai0I2OXFFeTGXHFaRhMGLlipYrxQLs62q3J+7NHFMsqnQ1zE4jkkUcuHPXip5FJNCLtwk4TRSQsoH4+46JjINUskYV+4psriY5/ar3ESV4zisVlscO1vl2Jmq+/fZGl9+4QKdrnsBHzMNds1n+gmq7LCiaqEwo7Y/2Tr6+agonyeW5jO86+238+sfeoRf//Aj3PXGa/hHL9sb9mGJiEylUq01rAqaRCGT5Mjp8Hbx8qLNDTZUSIWc/Jg0sQZQyCaGu8OFoeRVkjAThSRh05OYFDNJTvR3tpRgKCHloZ4T7Xe+RaLKMAzm8inm8iluOrReTdXp9jh9oc6xs7VhsuqZYyW+8MTp4W1SyRjLCxmWF7Is71j/s1CcifRFv0yn4Vki4k/NuXyKn7zrNn7vL5/gfXc/xZmVBt/1+qswzYgfuIjINlOut5jNTb4FfT6boFJv44Q0v3NQdTJp0mDQXlYJsYqlUmsxl588JoVMkkq9FVpMKh4lCfMbZkiFpVxvs+BBu2A+mwz1dTKNlJDyUoRng4hsRfGYyZ7+fKlXsjT8fKPZ4Xg/SXXiXI0T52s8/vwFPvvY+hD1ZNxk90KW5R0ZN0m1kGV5MctiMa2LagmNE8Fd9r6amWScH33LTfzx3z3N3V88ytnVBj/0rddPPDNDREQ2r1Jvs29xsp3pAPLpJN2eQ6PZJTMT/P/j1bo7vyqXnmxeUSIeI5WMUamHNw+r0mizb8LdAgHymSSdrsNaqxvKubXS8CYmqUSMZMIMNSbVRpsDS5PtFgiQzyRod3o0211mkvp9Jwj6KXtoONTcMDb8S0S8lk7FuWpvkav2Fi/6fH2tzYlzdU6cr7mJqnM17KOrfP7x9YqqeMxk98IgSZUZVlQtzqY1o0p8t9VGDZqmwV1vvIaluTR/8nfP8J/eez8/+pab2L2gHfhERPzmOA7VRpu8By17+Uy/sqjRCiUhNUh+eLKWdCK0ahzHcajUPY5JvRVOQqr/M8xlJt9MKJ9OhpaQcmPSGv48J5FPD6q92kpIBUQ/ZS9trJBSPkokcJmZxIsmqhrNDifP1zl+rsrJfsLq2eMXt/7FTIOdc2l2zWfYtZBh93zW/Xsho13/xDMXv3Gxdbzhjn3sXczx23/xGP/pvffzQ996PbddvRj2YYmIbGvNdpd2p+fNhfYw+dFmaW7iuxtZpd4iGTdJJSbbBQ3ctYSV/Gi2u3S6PfITVhXBemVSpd5mZygxaZNMeBiTRjhJwrVWl07X8SSxltvwOlmcTU98f3J5Skh5aDBDykAZKZEoSafiHFoucGj54i3sm60uJy/UOH62xqkLdU6er3PqQp1Hnj1Pt7f+Gs5nEuzuJ6p2bUhU7Qhpu2HZwoYteyEfxxiuPTDHz/zAy/lff/Yov/HhR/nHX3MFP/hPbgr7sEREtq2KR21usF6ZFFZlUbXe9iSxBu5awtoxcBgTT5KE69U4Yag22sOKoEnlM+HtTjesvvNgLRur1iQYSkj5QBVSIltDKhnjil0Frth1caKq2+txbnWNkxfqnDpf59SFGifP13ngqXNUGyeHt0vETX76Ha9k37zeQZHN2Wote5daKM7wzrtexvvufoq/+tzzHD5V4Z99k8W8B4NERUTkYlWP29wgvORHpdEm51XyIx3e7nTVbZT8qNTbniTWwE2anjgXTkw8bT0MOUk4jZSQ8pA22RPZHmKmydJ8hqX5DFx18deqjTanztc5cqbC++5+iiOnKkpIyaat77K3VVNSkEzEeMe3XMd1B+Z439/a/Owf3sc73nQdt12jFj4RES8NLrS9adkLt0Kq4nGFVFg7oXkbk8Fcr7AqpLyZuwThtlEOBuZ7M0NqfdaaBEMTfD3k9C81tNW8yPaVS7tzqr7mxl0A9Hq9kI9ItpLBLnvbYaPHV9+4i3f/269jRzHNb3zkUd5/91O02t2wD0tEZNvwsj0slYyRjIe3E1ql3vKsGmfjTmhB8zQmiRiJuBluktCDdlBwY9Lq9Gi2wouJF2uZScaIx8LdMXDaKCHloWGF1Da40BCRlzZIPG+cNSWyWVttqPlXs7yY411vv5033rGPv3vgGD//ni/y7IlS2IclIrItrF9oezXnJzFsOQual/OKNg6eDpqXMTEMw41JiG2UXrSDwoYKvBAqi7xsbR3ERDOkgqOElA8MZaREtj2zX+LSU6+ujGA75i8TcZPvfcPV/Ph330Kz3eWX/uhLfPCeZ2h3VC0lIjKJSqNFzDRIpybfBQ0g1291C1q702Ot1fWwQiq8OT/VRtvTmOTTyVBa9tqdLs1W15OB+XDxLo5Bq9Td18lM0qOYhNh+OI2UkPKQs4V3TxKR0QwTUt1tmGEQHznb9i2LGw8u8AvveCV33rybj33hCD/3f1QtJSIyiWp/6LRXVbVhVX6sV7B4nfwIfi2D1sOtHpOKh3OX3PsJL0noVnp5GZNwErfTSgkpDw079rbr1YaIDA1b9lQhJSNwnO3TrvdiMjNx/uk3X8ePf9ctrLW6/NJ7v8Qf3W1TX9MvdiIio3Jn/HjTUgX9apyQKljcx9/6yQ8vWw8hvGqc4SwsD9tB3fsNIeFZ9671EMJLEk4rJaQ8NNzOextfbIjIuphp0NuOPVjiq2k4Rdx4aIFf/MFX8o9u38vfP3icd/3evXz+sVPDSmIREbm8ioe7oEH/QjuEGT8VD2f8wHpiK4x5WF7uFghuQiisxBp4WCGVDrNCquVZ6yG4GxiFNWttGikh5aVBy17IhyEiwTAMJaRkNNM0cywzE+euN17Dz/zAy1kopvnff/0E//2PH+TY2WrYhyYisiVUPU5+5DMJWu3gd6cbVJt4lTRwd0Izwml1a3gfk2a7G/gutcOqNY/Wkk7FiJlGOAlPz18nSdZaXdod7aQdBCWkPDS8zFBGSmQqxExDu+zJaLZ5y96LObArz0+9/Xa+/xstjp6p8rN/eB/v+diTrFabYR+aiEiked6yN2x1CzZpUPV4XpG7E1pIlUV1b6txwhoG7nXV2vrudGHExPs2Sgin/XAaxcM+gO1k8Ma3OWUXGyLTyjRRhZSMxGE6WvYuZZoGX3fbHu64did/9dnn+eQDx/jCE6f55lfu5xtfsZ+URzvjiIhsF51uj3qz423lR3o9+bGjmPbsfi+nUm9jANkZb9cSdMKg2+tRW+t4PK+onyRstFgoznh20x8qlgAAIABJREFUv5dTqbcxDLea2Sv5THKYfAyKP6+T9fbD+UJwMZlWSkh5SLMxRKaLqZY9GZUz3UW0uXSC733D1fyj2/fw4b9/lj//zHP8/UPH+bavPchrbt5NPKbCbRERgFq/giXncSsSBF+NU220yaYTwx2KveDOwwp6HR3Au9ZDCK9Cqtpok0snPC2kCGMYuD+vk35MQmg/nEb6zc9D67vsTfPlhsj0ME1Du+zJSHrOlGek+pbmMvzLN9/Eu77vdhaKM7z34zbv/N17+dRDx+l0NbNBRKRS97alyr2vwTDwYC+0K3Vvh7MD/Za9oFsPvZ275N5Xsn/fAbfsedx6CG6iLugkoZ+vkzDaD6eRElJeGu6yF+5hiEgwVCEl49CbFuuu2lvkXd93Oz/+XbdQzCX5v39j867fu5dPP3xCiSkRmWqDC/vtUo2T9zr5EcK8omHyw5eYBD/Xy8skDhDKXC9/Xifh7Rg4jdSy5yFVSIlMF9NUQkpGowKpr2QYBjceWuCGg/M8evgCf/GZw7znY0/yl599jjfesY/X3rJMOqVfV0Rkuni9CxpAOhV3d0ILIZGzNJ/x9D437oSWiAdTY1H1eBA4QGYQk6ArixptdnsekwSNZodOtxdYC74fr5PMTBzTCGcXx2mk3/A8NJghpYsNkelgGtplT0bj4KiK9qswDIObr1zgpkNuYupvvvACf/rJZ/jLzz7H627dwxvv2MdcPhX2YYqIBMKPViTDMPqVRQG37DXaXOV5y956ZVFQg6cHPzcv5xUZhuG2uoXQfpjfW/T0PjdWFgV1vh4mCT2skDKHrxNVSAVBCSkPOWrZE5kq2mVPRuWeJ3SSeCmDxNTNVy7w3MkyH7/vCB+/7wh/+8WjvPzanXzdbXu4em9R1cgisq0NLrSzHu6CBoPd6YK70O71HKr1tufzijbuGBhYQsqH9jAIvv2w13OoNjqeJtZgY0xagSWkBj+3rA/PL1VIBUMJKRGRMZmmqYSUjMYBDzcZ2vYO7i7wI99+I9/xugZ333+Uzz56inufOM2exSyvv20Pr75hl9r5RGRbqtRbZGfinrc+5TPJQHcPq6+16TmOL/OKINid0Cr1NumUDzEJOElYG8Qk7XVMBrvTBbeWar1Nxo+YhLCL47TSb3EecvpTpLzcPlNEoss0UMuejMRBz5dx7JhN87Y3XMNbX3slX/jyae558Djvu/spPnjPs7zqhiVec9NuDi0XVDUlIttGpd4m53ESB9wL7edPrXl+v19Nqdaf8eN1BUsIA9qrjbbnuwWCm1w7crri+f1+NaVqE/C29RA2tuwFmCRseL+DI0Auk+Tomarn9ytfSQkpDw13f9fvwyJTIWYa9BwlGGTzHEcbX0wilYzx2luWee0tyzx3ssw9Dxzn84+d4lMPnWBpLs2rb9zF19ywix2z6bAPVURkIn7sTAeQTwe7E1q56v3Qaff+3ORHNcC1VOotf2IScMteueZXTIJPErqJW39iUlXLXiCUkPLQcKi5LjZEpoJpGHS7SkjJ5unZ4p2Duwsc/JYC3/uGq7nfPsPnHzvFn//Dc/z5PzzHNftmedUNS7zs6kUKWe8rDERE/Fapt1j0Ibke9E5opZo/1TjDndACbNmr+jSvKp9JUg8yJoMkoccte9l0AsMIOknYZkfRh5ikE9TWOnR7PWJmMDsGTislpHygdJTIdDBUISWjchzNkPJYOhXnzpuXufPmZc6VGtz7+Gk+99gp3vs3Nn/0cRtr3yx3XLuTl12zyGxOu/SJyNZQabQ5tFzw/H4HVSzVRjuQ/xOH1TgeJz9MwyCXjgdbjdNos38p7/n9DmJSa7QpBhkTj5OE5mDHwCBnSDVaXLHbj5j0K/AaHYp6Y8tXSkh5aH2XPV1tiEyDmGloqLmMxN1kT+cIv+wopvnWr7mCb3n1AY6drXH/k2e43z7D++5+ivff/RRX7S3ysmsWufnKBXbNZ3S+FpFIcpzBznR+zJAazPkJJiHl17wi6A9oDygh5TgOlbp/M6TAjUkwCal+THxpP0wGNkPK35is7xiohJS/lJDy0HrLXsgHIiKBMA2Dbq8X9mHIFuI4jqpoA2AYBvt25ti3M8ebX3uI4+dqfKmfnPrTTz7Dn37yGRZnZ7j50A5uunKBa/fPhn3IIiJDbquQ4/uFdhDKtRbJhEkqEfP8vt3ZS8GsY9Dm6EtiLR18TFKJGEk/YhLgjoGNZv914nPiVvylhJSHNNNcZLqYpoHyUTIKx0EniRDs2ZFlz2sO8m2vOci5UoNHD1/g0WfP8w+PnuDvHjhGIm5y81U7uGq5wLX759i3M4ep3koRCcmggsWv3cMguAvtcs2fQeDgruVYQDuh+dV6CBuShAG1upWqTV+qo8Bdy/FzNV/u+1Ilnwbmb7zPIHcMnFZKSHlpmJHSL7Ei08A00AwpGYmDW1kn4dlRTPP62/bw+tv20O50sY+u8siz5/nyCyt86ckzAGRn4lyzb5Zr989x7YE59ixmFTcRCcxgZzpfWvZCqMYZJMG85lbjBLcO8Kf1MJQkoQ/rAHctlfqqL/d9KV9bD9PB7xg4rZSQ8tDgslRvqopMB9M06HZVIiUjUP4yUhLxGDceXODGgwssLuZ56vA5njyywpMvrPDkkRUefPoc4CaoDi0XuXJPgSuXixxaLpBO6VcoEfHHYO6SLxVS6QQG7lDzIJSqTd8qpPKZBPWAdkLzaxA4QC7tnk+CSq6Vai1fEmsw2J2uTa/n+F5pXBrGxPuEZza9Pvxf/LXp36Ysy1oCvgG4BZgFVoGHgb+1bfuUP4e3tazPkFJGSmQamKZBp6OE1IDOE5fnOI6KaCNsLp/i1Tfs4tU37ALgfGmNJ4+s8NTRVQ6fKPPY4fMMui6XF7PD5NSBpTx7FrOBbNctspXpPLE5fiY/TNMgG+Ccn3KtxSEfdkEDNxHhALVGh4LPg6eHSUIfkmsx0yQ7Ew+sZa9ca7G42/sdHMF9zjoO1NbaviSKNhpWEvrwOonH+jFRy57vLpuQsizrOuAXgdcDXwK+DJwC8sDbgXdblnUP8DO2bT/h47FGnjp3RKaLO9RcL3ydJzZPI6S2loXiDF97026+9qbdANTXOhw+WeLw8TLPnChx/5Nn+PTDJwB31809O7LsX8qzfynH/qU8+3bmVEklgs4Toyr5OK8I3Cqp4JIfTXLpBV/ue9CqVWm0fU9IlX2sxgG31a0aVJKw2vSxZW+9ssj3hFTNvyQhuM8vVUj5bzO/Jb0H+O/AXbZtNy/9omVZSeDbgT8AXu3p0W0xutAQmS4x06CnhBToPLFpjqMq2q0sMxMftviBO0Pu7EqDF05XOHK6ygunKzz87Dk+8+hJwP2dYMfsDMsLWZZ3rP/ZvZBhJqlElUyV96DzxKaVay2ScZNU0vtd0MCtYqkGUPnR7nRpNLu+JT8G9+uuJevLYwyUqk1ipsGMjzEJohqn1e6y1vIzJuvzsHb7k4ccKtdaxGN+xiSpGVIBuOxvQ7Ztv3LwsWVZpm3bvUu+3gI+2P8z5RxdaIhMEdNQQgp0nhiNni/biWkYLM1nWJrP8IrrlgC3LXO12uonqSqcOFfjxLkajz9/gU53Pf4LhRS7d2TZNZdh51y6/yfDjuKMWv9k29F5YjSlatO3GT/gVn6cWW34dv8Dg4t5v9aSC3Dw9GAQuF/Xevl0grMBxGRQ8ePbLnsBxqRUbZHPJH2LSS6d4FxpzZf7lnWjvj13Glj040C2A/ed77CPQkSCYphq2XsROk+8BJ0ntj/DMJjLp5jLp7j1qh3Dz3d7Pc6urg0TVCfOu38/faxEs9Xd8P2wUJhhcTbN0lyaxbk0i8U084UZ5gspCtmkdvyTrU7nicso11q+teuBW/nx7Imyb/c/MEh++LWWYTVOAG1V5VrLl10PB/KZBIcDiMkgUeRXO916TPyv9nJj4l/iNp9J8Nwp/2My7TaVkLIs62bcXu+Zr/L1I7Zt7/fywLYizZASmS5q2Vun88TmuK3dSiZMo5hpsms+w675DC+7Zv1a3HEcyvU2Z1canF6pc3a1wZmVBmdWG9xvn/2K+RUx0014zRdmWCik+omqGebzKWZzKcxkPJAdp0RGpfPE5pVr/s34gUHLXru/0YZ/56T15Ie/FVJBtB8OKqT8kksnqTYCiEk/UeRXImc9JgFUSPn8OskF9DqZdputkPoo7jsZpmVZfww8hLsjxkOACRT9ObytxVHLnshUMQ1UIbVO54lN0C57cinDMChmkxSzSa7a+5Uvk/pam3OlNS6Um1yorHG+vMZKucn58hpPHS2xWj3zFf8PGbgXgIVsimLOvW/37xTFbJJCJkEukySXTpBLx0nE/Zm/IXIJnSc2qVRtcdCnnenAbavqOQ71ZofsjH8X9IOZSH4lDRJxk3QqFlB7WJO9i/7NqcpnEnR7Do1mh4yvMfE3SZiIm8wkg4lJudpi304fY5JO9mPSJTOjuY9+2dRP1rbtvZZl7QCOAP+Au1XrW4Abcd/l+B3fjnArUSuGyFQxTYOeSiMBnSdGohOFjCAzk2D/TIL9Sy9+cdrrOZRqLS6U1yjVWvQMg2OnypRrLVarLUq1FqfO1yjVWhfNsNoomTDJpxNk04l+kmr9z+Bz6VScdDJGOhUnk4qTnomTTsYxTT2fZXN0nti8cq1J3qed6WDDTmj1tr8JKZ/nFQ3uO4id0Mq1Fvn9c77d/8YdA/1MSFV9btmDQUyCqFprks/4F5Ph0PxGSwkpH236J2vb9jnLsm6ybfvZwecsyzKAtG3bda8OyLKstwE/DSSAd9u2/ZuXfP1W4PeBAvBp4Eds2+549fiTcBztsicyTTTU/GI6T1xeT+cJ8Zhprs+sAlhczHP2bOUrbuf0qyFK1RblWotqo011rU213qbaaFNrtKn0/z5XWqPWaFNbu/zLJpWMuQmqVJx0akPCKhVnJhkjlYiRGvydeJF/Dz82SSZiGui+zek8cXl+70wHF++EtjTv28NQqbcxDXxNerk7ofmb/Oh0e1QbbV8HzV8UE/9yLFQaLUwDXxMsQexO1+n2qK11hkPU/TB4DVbqbXb6GJNpd9lnomVZPwb8rm3bzY0nDwDbth2gbllWCvgXtm3/+iQHY1nWHuA/A7cDTeBzlmXdY9v2Extu9j7gh2zbvteyrD8Afhj47Uke1ysOutIQmSamhpoDOk+MRC17EhLDMMjOJMjOJFjesbkWh27P/YW/1mjTaHZpNDs0mh3q/b8v/tj9erU/D6vR7LDW6tLq9C7/QBsMtlVPJtzklmm4LSCJmOn+HY8RH/7bIBGLkYib7ucuut36v+Nxk3jMIGaaxEyDeMz9Oxbb8LFpEIsNbte/bczQAHmP6DyxeX7vTAcbq3H8TeS4SZykr5WUuXSC1WrTt/sHhsl5v+d6gf+zl6r1NnmfN8fIZxKUav4/twaP5ZfBEPsghuZPs82kRncBz1iW9VHgU4ANVIA8cA3wdcA3A+/14HjeAHzStu0LAJZlfQj4DuAX+v8+gPsOyr39278H+HkicgJxd0/SLy4i08LUUPMBnSc2yUHnCdk6YqZJIZOkMEFrR89xaLW7NNs9mq2O+3e7S7PdpdVy/17b8PHGr8diMaq1Ju1uj3anR7Pdo9ro9P/dpd1xP9/u9mi3e/jxv7FpDBJXGxNaGxJWpkHM6P9tXvy3aRpkUnF++M03oyldOk9slt8708HFlR9+qtRbFHP+rQPctRw9U/X1MdZnYfkYk0GS0Odqr0q9TSGb8vUx8ukEx8/6HRP/Ww/XXyf+tx9Os8smpGzbfpdlWf8D+KfADwI3AbPACvAI7oDCd9m2fd6D41kGTm7490ngFZf5+t5RHuA//PbnOLPSGPsALyeTUn+pyLSImyblWot3/JdPhn0oE3vtrcv8xNtfPtb36jwxmr2LOd/uWyRqTMNgJhlnJglkR7tw+Grthy/GcRy6PWc9STVIVPU/7vZ6dLvubbq9Hp3Bx93Bxz26PWf9465Dp9vr337Dxxu/3nPoDf70H783uH3bvf3TR0v88C99YoyfXPR822sO8sNvvnms79V5YnSFrI/VOIPKD58vtKuBJD/8351uULXk6yys4bwin5OEjTaFEf8vHlUuk/A92TnYWdHv+WTgf0x+7y8f594nTvv6GEHYOZfmD376G0b+vs0ONT8H/Er/j59MuOgNLgPojfD1y/rHd15Jzccn1RXLBcD9JWo72C7rgO2zlu2yDtj6a/mON17DjvkM22Gu+Q1XTjY8VeeJzbvhkDuwY6s//we2yzpg+6xlu6wDtv5anj22yr2PnQr7MDzx8uuXJvp+nSc2LzMT55U37yHm40y1ZCJGF8PX11i91WXvbNrXx9i1mKPd6ZEvZkj7VBhgnygDcGDPrG9rcRyHZNyk43NMGq0OO+b8jkmeVqdHvphmJulPTJ485sZk/15/Y5KIm3Qdf2Py/OkKV+wu8Kobd/v2GEHIjpkcjFo5zzHgzg3/3gWcuOTru1/i65d1541LgbTYbPYdvSgb5Z3JqNsua9ku64DtsZYE8LZvvHbLrwPYSjtl6TwRIdvhdTywXdayXdYB22MthVSMu75J54mAbfnzRBDP/Xw6zpnzNV8fp1RZ4/qD874+htFzc4nPH7nAjtm0L49x4pSb/GivtXxdSy6T4Mz5qq+PsVppcsOhHYHE5LkjF9hR9Ccmx08PYtL2NybphP+vk2qTl79iF99w+x7fHiMI454jxkq7W5a1ZFnWuyzL+nbLsvZZlvXblmX9imVZk711Ap8Avt6yrEXLsjLAW4G/GXzRtu0XgDXLsr62/6m3Ax+b8DFFRCQAlmW924O70XlCRGQbsCxrYcPHb7Ys6+csy/o+y7ImLQvSeWITcv1WN7/0HIdqo0Mx53PLXsb/wdOD9rNxK0A2K5f2t9XNjUmbos8te/kA2g8rw5Y9f+tr8umEr62tnW6PRrPrextllI37H/77gePAPuBu4O/6f//hJAdj2/Zx4KeAe4CHgA/Ytn2fZVkftSzrjv7N7gJ+zbKsJ4EcMNFOHCIi4j3Lss5YlnW/ZVn3WZb1Rcuyvgj8U8uy7pvkfnWeEBHZNj4IYFnWf8YdaP4F4Hp0PRGIfMbfC+36Woee4wQyrwj8HdBeabTJphPEfWyhBDe55mcSp77WwXHwPSbrM8r8W0u10SaXThAz/Y5JwteYDO57mhNS46YU47Zt/18Ay7K+z7btD/U//slJD8i27Q8AH7jkc2/a8PHDXDyYUEREouff4L4r/UHbtv8UwLKsj9m2/c2T3rHOEyIi28prbNt+Xf/jj1mW9alJ71DnicvLZRKculD37f4Hya6gqnH8TK5V6i3f1wFuNc6ZFf9jUvC9aq1fIeVnkrDe9n0HR4BcJsnZ1bJv9z/4GU1zQmrclOLGesV/seHjqM2kEhGRENi2/cfAdwJxy7L+3LKst+EOjhUREQG40bKs/wdcbVnWxkEz2bAOaJrk00lf29zWKz/83mXP//awagA704GbJPS3zS2Y5EcugCShGxN/n1vQb9nzMyaqkBotIWVZVrH/4ZstyzJg+A4DlmUlgYkrpEREZOvacJ7Atm3Htu33A2/BfcPiodAOTEREImHDeeLlwE8ArwY6/a/lgZ8L58imSy6ToNnq0u50fbn/YfLD5yqWdCpOzDT8bdmrt32fhQVu8qPR7NLujLTp46YNfkZ+V3tlUnFMw/B5rlcrsCRho9mh0/UnJkElbqNs1IqmM5ZlnQIeBR61LOuR/sdP2rbdAu71+gBFRGRLueg8AQzOEx+wbbsT6pGJiEgUvOh5wrKsJ23brgB/HerRTYn8htlL84WY5/d/0Wwcn5JeAIZhkEsnqDb8rsYJoGWvP6C92mgzl/c+QTH4GRWyKej49yuZYRjkMv4OaK+EEJNZH5KS1UEbZTZJt+nfzyvKRm3ZeyvuMPP7cctpfwF4GFixLOsvLMt6ucfHJyIiW4vOEyIi8lJ0nogAv1vdKhsutP2W9zH54ThOcNU4aX9b3YKqWgN/h4E7jkM1wKo18G9A+6CKbJD4mkajVkj9DnC9bdtlAMuyYsD/BB7EnSv1V5Zl/YBt2x/39jBFRGSL0HlCREReis4TETC4APbtQrveJpkwmUnGqfjyCOtyPs75WWt16XSdYOYVZfxNElYbbVKJGKmE9xVxl8qn/dvFsdHs0u35v4MjbBzQ7s9aqvU26VSMRNzf3QKjbNSV94DM4B+2bXeBdwI/Ydv27wBvB37Ru8MTEZEtRucJERF5KTpPRMCwGsenVrdKvU0+HUzVRz6T9L2CJagd3cDPJGFrmGDxWy6T9K/6rv+cDSQmw9eJf0nCwWNMq1ETUr8P/IllWQc3fG4nsNz/+BPANV4cmIiIbEk6T4iIyEvReSICNs6Q8kO10R7utua3XCbhawULBNd6CD62UQaY/HArpHx6btWDGwTueyVho00uoMRtVI3asveL/e952LKsp4ETwNcA7+1/fR/9XTJERGQq6TwhIiIvReeJCMjOJDBYv7j3WqXeGs7f8Vs+naC21qHb6xEzvW19CnIWVq4fEz9nSAVVIZXPJKg12vR6DqZpeHrflQCThNl0vP+Y/iU8g1hHlI30iu1v4f0zwCHgvwF/A3ynbds/2r/JbuCnvT1EERHZKnSeEBGRl6LzRDSYpkHWx9lLwSY/3Av6WsP7POYg+RHEAG2/Y1KttwJro8ylEzhAdc37tQSZJIyZJtmZuK/th0G9TqJq1AopAGzbPgf86Yt8/gvAFyY9KBER2dp0nhARkZei80T48j62urkX2kHNkFrfnc7rJMVgXlEhm6RWWfP0vl9MzsdWtzCShNV6m4LHz4P1uV4pquWGp/f9YnI+zShzd3AMLiZRNb3j3EVERERERKaUX3N+mu0urXYvuAHaaf9mL1XqbeIxk3RqrDqOkfmVJGy2urQ6AcZkQ5LQa5V6i0TcZCbp/26B0I+JD8+tZrtLu9MLLHEbVUpIiYiIiIiITBm/dkIbzKUKrkLKv8HTg53pDMPbOUhfTc6nlr1BpVdgMfExSVjtVxUFFRM3cet9Ym34OtEueyIiIiIiIjJN8hl/LrSHyY+ALrQHFVK+JHICbqnKZ5K+DJqvDJOEwbbs+ZIkbLQDm4UF/deJL0nCYBO3UaWElIiIiIiIyJTJpRNUGx16juPp/VYCr5Dyrz2s2mgHmjAYtIc5Wzwm/iYJgx0Enku7SULvYzKoWlOFlIiIiIiIiEyRfCZJz3Gor3m7O13QF9rujKeYT5VFwSY/8ukE3Z5Do7m1YzKY8eTPDKmgq9YGMel6er9BV61FlRJSIiIiIiIiU8avOT9hXGjn00n/WvYCbA9bHwbuU0wCbnXza9B8kFVr69Ve3ibXgq5aiyolpERERERERKaMX61ulXqbmGkEtjMduIkcr3ena3d6rLW6wyRREIazl7xOEjZa/ZgEszMduK1uXifWWu0uzXZ3mCQKwiAmXlfgVeot4jEjsN0Co0oJKRERERERkSkzSLT4caGdC3AXNBjshOb9OiDYSq9hNY4PScIgd6aDfoWUX5VeAbfsbXxsrwwqvYKMSRQpISUiIiIiIjJlBu1bnlfjBNzmBm5yzY91QPBtbuB9krAacJsb9JOEXre5DXZwDHLQvG8te63AdqKMMiWkREREREREpkzOr5a9RrCDwMFNUFQ83gltPfkR7Cws97F9qFoLOPmRzyS3RYWUb5WEjXag7aBRpYSUiIiIiIjIlEklYiQTpuetSNWAd0EDt4ql0+3RbHu3E1oYyY9UMkYybvqS/Ag6JrlMglanR7PlXUyqIQwCTyViJOKm50nCMKrWokgJKRERERERkSmUT3u/E1pYLXuDx/ZKWLug5TIJn2ZIBd+yB962uoUx18swDHJpH2LSUMseKCElIiIiIiIylXIZb3dC63R71JudECqk+juheZhcq9RbmIZBZia43QLBXYuX1Tidbo9GCDHxJUnYcHdwzAS4gyN4P6C93enRaHYDj0kUKSElIiIiIiIyhdwKKe8qPwYJoeBnSHk/D6tSd2f8mAHvguZWSG39Sq/B43mdJMylg90tEAYD2r1bx/rrRC17SkiJiIiIiIhMofw2SX7407IXTktVPuNtknDY5hb0UPO0f0nCoHk9oD2M1sOoUkJKRERERERkCuU8bg8L60J7uDudh0mDagiDwIH+vCJv29wgvKo1bxM57VCShLl0wuNZWKqQGlBCSkREREREZArlMwmarS7tjjc7oQ0utHMBX2inUzFipuFxe1g78HWAm6RYa3Vpd3qe3N96kjDomMSJmYbnCc8wkjj5TIJGs0un63VMVCGlhJSIiIiIiMgU8rrVLawLbcMwPN+dzk1+hNAe1q8A8iq5tl6NE0JMPN6dzt0tMIQKqYy3FXiqkFqnhJSIiIiIiMgU8rrVrVJvYwC5mXASOV4lcbq9HrW1TmgzpMC72UuVehvDgGwYrW4ezihb38ExhAopr5OEjXB2cIwiJaRERERERESm0DD54dF8nGqjTTadwDSD3QUN3GoTr5If1UZneJ9Byw2GgXuU/Kg22uTSwe8WCN7uTlcLaRbWxsf0KklYrbfJpeOhxCRqlJASERERERGZQl4Png6rzQ0Gg6e3duuh+5huEszLmORCqI4Ct9XNu3WE1+Y2aNnzso0yjPlkUaSElIiIiIiIyBQaVuN4mDQIo80N3ORR1cM2N/c+w0h+eN+yF9asoryHc72GScIw2ig9f520QnudRI0SUiIiIiIiIlMoO5PAMLxrD6s0wkt+5NIJamsdur3Jd0ILs0IqN5PAwMtqnPCq1vLpBHWvYhJiy142HcfAwyRhI5zh7FGkhJSIiIiIiMgUMk2D7IyXlUUhJj+GbVWdie9rWCEVQhWLaRpk094NAw+3QiqJA9Q8jEkYrW4x0yQzE/ewJTS8mESNElIiIiIiIiJTKp/xZvZSz3HcAdqh1NGFAAAfXklEQVQhtocBniTXBpUwYexMBx7GpOdQa4TXRunlgPZBTHLpcHamy3s0D2sYE1VIAUpIiYiIiIiITC2vdqerNdo4TjgtVeDtnJ9Ko012Jk48Fs7lcj7tTdVada2NQ4gx8TRJ6MYkZoYUE4/mYVUbg5ioQgqUkBIREREREZla+XTCk3lF64PAw9vRDbyZvRT2Lmi5TNKjqqLwhrODt0Pz3XbQEGPi2eskvPlkUaSElIiIiIiIyJTysvLDvb9wW/Y8WUuIs7BgEJPJkx/VkJMfg+eCF8m1ashtbl5VEg5fJ9plD1BCSkREREREZGrlMm7lR6/nTHQ/w8qPsOcVedSyF2bCIJdOUK236TmTxmT7JAnDHgSeH7xOtnhMokYJKRERERERkSlVyCRxnMlb3Uo1N+lQzIZzoR2PmWRn4pQ8SH6Ua63Q1gFQyCbpOe7w60kMYlIIMSaZVJxybfKYlGqt0NYB7uuk23Oor022Y2DYMYkaJaRERERERESmVDGXApg4aVCutTBwK67CUsgmJ15Ht9ejWm+HmjAYJMM8iYkRbntYMTd5TDrdHtVGm0KIz61izo1JacK1lPoxyallD1BCSkREREREZGoNkh+TXmiXay1ymURou6CBu5ZJ11Gpu7ugRSEhNXFM6i3y6QSmaXhxWGPxKiaD+wrLMElYbU50P+WaO5w9zJhEiRJSIiIiIiIiU2o9+THZhXbYLVXgVnuVq5Mn1sBt0QrLoGrNiyRh2DEpeJCQKkegza3gYeI2zOdW1MTDPoCNLMvaD7wP2AnYwF22bVcvuc0B4DHg2f6nTtu2/Y2BHqiIiIRC5wkREXkpOk+MrjBsD5tsXlHYc5fATSJ5lfwYtGiFYZCwKE2YXCtFISZeJKTqg/lkKS8OaSxeVa2Vaq1Qn1tRE7UKqd8Cfsu27WuB+4H/+CK3uQP4gG3bt/b/TO3JQ0RkCuk8ISIiL0XniRHNJGMk4+Y2qZBK0mx3WWuNP3g6CkOn06kYibg5TMSMKwoVUsVskmarS7PVHfs+Bom5Qja8uUvpVJx4zPRkrpcqpNZFJiFlWVYCeC3wof6n3gN854vc9OXAjZZlPWRZ1icty7opoEMUEZEQ6TwhIiIvReeJ8RiG4VkVS9gX2l4MA49Cy55hGO7spQkqpBzHiUhCqt9+OEFybZCYC3Mtw5hM8NxyHIdyPfyqtSiJUsveDqBs2/YgnX0S2Psit1vDLcP9XeCbgD+3LOs627Y39cxYWMh5cayXtbiYD+Rx/LZd1gHbZy3bZR2wfdayXdaxBeg8EUHbZR2wfdayXdYB22ct22UdW8C2OU8E/ZxZmE3TaHXHftxGs0Or3WN5Z/4r7iPItexfbgBgJOJjP27bgWQixr49sxjG+uDpwGNSTNNojx+T+lqbVicCMdlTB8CMTxCTHqSSMfbtmbvo88G/TmYmep3U19q0Oz12hxyTKAklIWVZ1ncCv3bJp58GnEs+17v0e23b/rkN//yoZVm/DFwHPLyZxz5/vkqvd+nDeGtxMc/ZsxVfHyMI22UdsH3Wsl3WAdtnLdtlHaZpBJaI2QydJ7aG7bIO2D5r2S7rgO2zlu2yDp0n1vl9ngjjOZNJxjiz2hj7cU+vuEmHGM5F9xH0WpyOm4t84dgqi2PO6Tl1rkohk+DcufXRY6HEJBXj7Ep9/JhciEZM6Litei8cX2FHbryWu9P9mIS6DiCTjHN2ZfzXyal+TOJhx8QH454jQklI2bb9QeCDGz/XL7E9b1lWzLbtLrAbOHHp91qW9a9xe77P9z9lAJNN4BMRkUjReUJERF6KzhPeKuZSPH2sNPb3DweBh94e1m/Zm6Q9LAKDwMFdy7PHx49JFGZhbXz8SdooozCfDNwZZYdPlsf+/ijsFhg1kZkhZdt2G/gH4Lv7n/p+4GMvctPXAT8IYFnW64AY8GQQxygiIuHReUJERF6KzhPjK2aTVBttOt2vKCjblKhcaOczSQxjst3popL8KGSTVOptur0JYxLyXK98JoHBZLvTRWUQeDGbpFJvjV0hGZXXSZREJiHV9y+Bf25Z1hPAncBPA1iW9SOWZf1C/zb/BnijZVmPAb8CfK9t2+O9SkVEZKvReUJERF6KzhNjGFwgV+rjFYqVIlIhZZoG+cxkg6ejVCHl4EFMcikPj2p0MdMkn0lMFJNSrRX6OsB9nTgOVMaswIvK6yRKojTUHNu2XwC+7kU+/zsbPj4OvDHAwxIRkYjQeUJERF6KzhPj2bg73Vx+9Av/cq2FAeQy480I8lIxmxy7Pazb61GttyNRwVIY7E5XbTE7RjKmXGthGJBPhx+TQjY1dtVat9ej1mhTiMhzC8ZPkJX6MclFICZREbUKKREREREREQnQ+oV2c6zvL9da5DIJYmb4l5eF7PgVUtV6G4dotFQVc5PNwyrXW+TTCUzTuPyNfVbMJsZeR6UfkyhUFRX7ScJxE57lWot8JhmJmERF+P9jiIiIiIiISGgKGyo/xhGVuUswqJAaL7FWisjcJdgQkzEri8oRiskkFVKD74vCWgpZt7Jp3NdJVGZhRYkSUiIiIiIiIlNs0p3QojJ3CdyEVKnWwnFGHzw93C0wF/5aipnJqtZKUYpJboKY1Adzl6IxQwomS9xG4bkVJUpIiYiIiIiITLFUIkY6FRu/iiVC1TjFbJJO16He7Iz8vcMKqQisJZWMMZOMjZ/8qEYtJj0a48RkWCEV/tylmWScVHL810m51lSF1CWUkBIREREREZlyhWxqrOSH4zisVpvMRWAXNJis2mul4lYjRWUt4w5o7/VjMjvGgHo/TFJZtFJ1YzLOYHc/FLPJseZhuTEZb9OA7UwJKRERERERkSlXzCTGSn5UG206XScyyY/iBLOXVqtNsjNxkomY14c1lsKYCalqo02350QqsQbjJQmjGJNSdfQ2ymq9H5OIvE6iQgkpERERERGRKVfIjVchFbWqokL/OMZdS1QqcWB9HtaoVivRqyqC8WKyWolOpReMH5OVYUzUsreRElIiIiIiIiJTbuzkx6ClKiJJg4mSHxFqcwN3kPc4lV7DJGFE1lIcJAnHXEtUkp0wfhvlSsReJ1GhhJSIiIiIiMiUK2aTNJodWu3uSN+32k8yRCVpkJ2JE48ZY7VVRS35UcglqY8Vk2glpDIzcWKmweoYOwauRC5JmKS21qHdGTEmEaskjAolpERERERERKbcIHkxqK7ZrMHto7KdvWEYzOZSw4qUzer1HEq1FrP5aKwDYH4QkxHXslJpYhCN3QIBTMNgLp8aJmU2q9vrUa61ItN6CDCXnwFGf52sVqMVk6hQQkpERERERGTKDZIfF8a40C5kEsRj0bm0nM+nuFAebR2lWgvHiVYFyzBJOOJaVqst8tlkpGIyN0ZMyrW2G5MIVUjNFcZP3BYiFpMo0E9DRERERERkys0XBpUfayN930rEhk4DzBVmRl5H1GZhwfhVa6vVaLUegruWcavvorSWcRO3UWs9jAolpERERERERKbc4GJ51CqW1YjtTAdu0mCl0sRxnE1/T9R2pgOY77eHXRgnSRiRFsqB+cIMF0aNyTBJGJ21zA1fJyMmPCutSCXWokIJKRERERERkSmXSsTIzsTHq8aJWOXHXD5Fp+tQqbc3/T0rERsEDpBKujEZp40ySuuAQUx6VBojxCSCFVIzyTiZ1HivE1VIfSUlpERERERERIT5wsxIF9qdbo9yvR2phAGMN3h6pdLENAwKmehU40C/1W2EqrV2p0el3o5c8mN+jHlYq1U3JvmIDQKfK4zWftjudKk22sxFrGotCpSQEhERERERkf7g6c23IkVx7hLAfGEw52eEtVSaFHNJTNPw67DG4ra6bX4dpWr0Wg9h44yy0ZKExVwS04hYTPIzI7W2rlRbQPRiEgVKSImIiIiIiIi7O90ICYPViF5oz48xDHy1Gr1ZWDD6MPBBTKLYsgejDc2PYushDGIyWrJz8H1yMSWkREREREREhLnCDNVGm3anu6nbrw8Cj1YrUj6bJGYaI1exRG0d4CYxKvXNx2QlohVShUw/JiNWSEVtHeAmPMv1Nu1Ob1O3X41oTKJACSkREREREREZeUv78/32voXijG/HNA7TMJjNbb6KxXEczpfXWChEax2wsbJokzEp9WNSiFbywzQNZnPJTScJHcfhQrk5bL+MkmFMqqO9TuYj+PwKmxJSIiIiIiIiMvLg6XOlNdKpGJlU3M/DGsv8CIOna2sdmq0uOyKWWIPRZy+dL62RTsXJzCT8PKyxzBVmNp0krDbaNNtddhTTPh/V6IYx2eS8tXOlNTKpOJmZ6L1OwqaElIiIiIiIiDA3RvJjoTCDEbGh09Af0D5qVVEUE1JjVK1FsdIL3LVs+rk1qL6L4FrGqVqL4nMrCpSQEhERERERkeGF9mZ3dYt28mOGlUoTx3Eue9tzEU5IDWMyQjVOFCu9YD1JuJmYDJKEUVzL3DZKEoZNCSkREREREREhlYiRSyeGyYDLcZMf0WupAje51O70KNfbl73t+VIDIJJrmUnGyc7EOb/JNsrz5UYkE2vgVju1Oz0qm4hJlJOE6VQ/Jpt4nTiOE+kkYdiUkBIREREREREAFmfTnF1tXPZ29bUOjWYnkgkDgMVZ97g2s5Zz5TVSiRjZiM742XxM2jT+//buPbbOu77j+PvYzsVx4vh2nNgsYXYvv/RCSdkoFDpRrhK7MTSg06RRpAFD2tiGYGjSNgGdNk3TBmjTJPYHMDZt2lRgEwL+AFoug3Ybo7Rc1v5oSZs0ceJL7DSJ7dixffbHsd2ExsfXPs/vefp+SZF8OZa/X3198sn55vc8nplP9jROtaO+8FtLL6efusCO7enOpGeNM1m6P1mqz5O8uZCSJEmSJAH1Rc7omdVPfizd4yfVkx/rXX707E3zXliw9oXUWMKXucE6Z3K2HDNJ+dLDFLiQkiRJkiQB9Rfap89eYH5hoeHjxhYvc0v15MfSAmCtS4NU+4DFmTx1gYWFxvdeSvnm7LC+mYw9lfZ9l6odOzl9dvWZpHzpYQpcSEmSJEmSgPryY36hxsQq9ywanVi671KaL7S3tTTTuWfHqsuPWq3GyJnpZPuA+vJjfqG26s3mRxZ7XTqJlJrt25rp2L191RN4SzOpJnhPryXVjlbm5mucOb/K8+RMuvcnS4ELKUmSJEkSsPbLqoYnpmnb2cLu1m1ZlLUh1b2rX354duoiF2bn2de1K6Oq1u/pmTTupRAzWcOlbmcnZ5mZnWdfV7pLnLU/T6bY3bot6ZnkyYWUJEmSJAm45Gbgq/wGseGJKXo7dyV7jx9Y2/JjeHwKgH2dRVhIrd5Lyos1WJzJU6svO4Gke1maychaZtKZ7mItby6kJEmSJEkAdO3ZSXNThZGJtSw/0n6hXe1o5cy5GS7Oza/4mKWF1P6Ee+lq30FzU2VNp3FSX35UO1qZONt4JqeWloQJL6S69uygqbKWmUzTm/CyM28upCRJkiRJADQ1VejtbOXk6ckVH3Nxbp7xszNJnyoC2N+9ixpwanzlpcHwxDTNTZWkbzrd3NREtaOVk6enVnzM7MWCzKSrPpPhhjOZqs+kfUd2ha1TS3MT1c7GM5m5OM/EuZnkF7d5ciElSZIkSVrW393GUIMX2iMT09Qg+Rfafd1tAAyNrbxcG56YoqejleamtF8a9/e0Nexj6dKxlE8VAfR11+sbarDwHBmfplqEmXTvajyTxVOG+xOfSZ7SnrAkSZIkKVN9PW2MTkxzcW7hip9fOnGU/mmcVioVGp72Gh6fYn/il7lBfZEzMjHN3PyVZ7J8L6zEl4T7u3ZRqTReEp6amCrEEqe/p21tM0n8eZInF1KSJEmSpGX93btYqNUYnrjyKamhsfNA+ic/trU0U+1oXXH5MTe/wKnxKfp62jKubP36e9rqMxm/8kxOjE1SIf2ZbN/WTHVv64on8ObmFxgen1o+SZWyvu5dzC/UVrzf2tDiTFJfEubJhZQkSZIkaVn/4oJmpfvjPDlynt6OVlp3tGRZ1oY0uvzw1PgUc/M1DvTuzriq9evvXn0m1c5Wdm4vwEx62lY8tXbqdIFm0tP4ktAnR87TW5CZ5MWFlCRJkiRp2f6uXVRo/EK7CAsDqC8NhsenrnhZ1ZMj9ZNeRehlf3d5ZtLXs4vh8SnmF4o9k76uxYXUCsu1Is0kLy6kJEmSJEnLtm9rZn/3Lo6eOveMz83MzjMyMV2YF9oHenczv1DjxOgzlwZPjpynpbmS/GVuADu2NdPbtYujw8+cyYXZOUYLNpO5+UYzaWJ/AS7Z27G9mX2drVd8nkzPzDFypjgzyYsLKUmSJEnSZQb62jly8iy1Wu2yjx8fPU+NYpxgARjobwfg8ZNnn/G5J0fO09/TRktzMV4WD/bt4cjQlWYyWaiZDPbVZ3LkijM5x/N62pL/DXtLBvrbr/iztbRsO9C7J+uSCqUYU5YkSZIkZWagr52zk7OMn5257ONPLJ4GKcryo7p3J7tbtz1j+VGr1Th66lxh+gAY7N/LU5OzTJy7fCZLJ3QOFmT5Ue1oZXfrNh4funwmC7UaR4eLdZnbYF87Z84/cyZPnKr3dnBfcXrJgwspSZIkSdJlBlc4WRSPTdDVvoPuvTvzKGvdKpUKg1c4xTI0Nsn56Ytce6Ajp8rWb2DpZNFPLHIeOTZBd/vOQs1koO8KMxkt4Ez6rzyTeOwMPXt30tVejJnkxYWUJEmSJOkyB3p309LcxKPHn1r+2EKtxiPHznDoYCeVSiXH6tZnoK+dodFJJi9cXP7YI8fOAHDoYGdeZa1bfSYVHjtx+UzisTMcOlicJQ7AQN8eToxNMnXJTB4+NgFQqF4O9u5ZnMmZ5Y/VnycThAL1kRcXUpIkSZKky7Q0N3Ho+R089NjY8j2Llk6wFGmJA3DjQBc14Hs/Pr38sUeO1k8VVTta8ytsnba1NHHoYCcPXjKTE0szeX7BZjLYTa12+UyWThX1FGwm4UAHDz52enkmx0fOM3lhrnDPkzwkuZAKIfxpCOGDK3xuewjhn0IID4cQHgghHMq4PElSzswJSVIj5sTWeNE1VUbOTHNirH6D5u8/Xl8eHHp+sU5+DPS3s3f3dr77o1EALs4t8PDRCa4r2BIH4OZrq4xMTDO0OJMfHFmcScGWH4P97ext284Dj44BT8+kaIs1gBddW2V4fIqh01MA/ODxcYBC/nxlLamFVAhhbwjh48B7Gzzsd4HJGON1wO8D/5BFbZKk/JkTkqRGzImtdfiaHirA/z4yQq1W4/4fnGKgr52evcU5wQLQVKlw8zVVvn9knAuzczz02BhTM3O8+LrevEtbt8NX9wDw7cWZ3PfDUwz2txfm/lFL6jPp4ftHTi/PZHpmjlsOFXAm11SBy58nV/W3e/+oNUhqIQW8AXgU+OsGj/kF4J8BYozfAKohhIMZ1CZJyp85IUlqxJzYQh27d/CCq7q594ETfPG/jnJ8dJLbD/fnXdaG3PaCPmYuzvPpr/2Yz33rCaodO7n+p4t3gqVzzw5uHOxansmJ0UluP/y8vMvakJff1MfM7Dyf+doRPvetx+ntaOW6os5koIt7vnOcL9x/lBNjk9x+czFnkrWkFlIxxn+MMf4FMN/gYf3AyUvePwn81LNamCQpCeaEJKkRc2LrvekVVzE7N89nvn6Egb493Hrj/rxL2pDB/nZuvWEf9z5wguOj5/m1V11Dc1NSL4fX7C23X83sxaWZtPPSG/blXdKGXNW/l5fesI97HjjO8dFJ7nj11YWdyZtfWZ/JZ79xhMH+4s4kay15fNMQwpuBj/zEhx+JMb5mDV/eBNQueb8CLKz1e3d3717rQzelWt2Tyfd5tpWlDyhPL2XpA8rTS1n6SIk5URxl6QPK00tZ+oDy9FKWPlJS9pxI6WemWt3DR99zO/HoOLe+oJ+21m3r/vpUvP/OW/jWQ0NUO1u5fqB7XV+bUh/V6h4+8p5X8KNjE7zspn527SzwTN56C/d9b4jezl1cN9C1rq9NqY+nZ3KGl93UV+iZZCmXhVSM8W7g7g1++XGgD/jx4vv7gaG1fvHp0+dZWKit/sBNqFb3MDp67ln9HlkoSx9Qnl7K0geUp5ey9NHUVMlsEbMW5kQxlKUPKE8vZekDytNLWfowJ572bOdEij8zO5vghQNdTJ2/wNT5C2v+uhR7uf7AXoB11ZViH63NFV440MXkuQtMnnMmKajPpLMUM1mvjWZEEc/DfRF4K0AI4TbgQozxWL4lSZISYk5IkhoxJyQpAYVYSIUQ3hVCuGvx3b8FdoQQfgj8DfAb+VUmSUqBOSFJasSckKT05HLJ3mpijB/8ifc/dsnbF4A7s65JkpQOc0KS1Ig5IUnpK8QJKUmSJEmSJJWHCylJkiRJkiRlyoWUJEmSJEmSMuVCSpIkSZIkSZlyISVJkiRJkqRMuZCSJEmSJElSplxISZIkSZIkKVMupCRJkiRJkpQpF1KSJEmSJEnKlAspSZIkSZIkZcqFlCRJkiRJkjLlQkqSJEmSJEmZciElSZIkSZKkTLmQkiRJkiRJUqZa8i4gQ80ATU2VTL5ZVt/n2VaWPqA8vZSlDyhPL2Xo45IemvOsI2fmxAaUpQ8oTy9l6QPK00sZ+jAngAxzogw/M0vK0ktZ+oDy9FKWPqD4vWw0Iyq1Wm3rq0nTbcB/5l2EJCXu54Bv5l1ETswJSVqdOSFJWsm6MuK5tJDaAbwYOAnM51yLJKWmGegDvg3M5FxLXswJSVqZOWFOSNJKNpQRz6WFlCRJkiRJkhLgTc0lSZIkSZKUKRdSkiRJkiRJypQLKUmSJEmSJGXKhZQkSZIkSZIy5UJKkiRJkiRJmXIhJUmSJEmSpEy5kJIkSZIkSVKmWvIuoExCCL8O/DGwDfhojPHvci5pw0II7cB9wC/GGJ/IuZwNCyF8AHjL4rtfiDG+P896NiOEcBfwJqAGfDzG+OGcS9qUEMJfAT0xxrflXctGhRC+CvQCFxc/9Fsxxv/OsaQNCSH8EvABoA34Uozx93IuqbTMifSUJSfKlhFgTqTEnMiOOZEecyJdRc+JsmQEbDwnPCG1RUIIzwP+DLgNOAy8M4Rwfb5VbUwI4SXAN4Fr865lM0IIrwFeB9xMfSY/E0J4Y75VbUwI4RXAq4CbgJ8F3h1CCPlWtXEhhFcDd+Zdx2aEECrUnyMvjDEeXvxTuAAJIQwCHwN+hfrP14tCCK/Pt6pyMifSU5acKFtGgDmREnMiO+ZEesyJdBU9J8qSEbC5nHAhtXVeA9wbYxyPMU4Cn6a+gS6idwC/DQzlXcgmnQTeG2OcjTFeBB4GDuZc04bEGL8OvDLGOEd9i94CTOZb1caEELqo/2Prz/OuZZOWQvxLIYSHQgi/k2s1G/dG4N9ijMcXnyd3AIUMwwIwJ9JTipwoU0aAOZEgcyI75kR6zIkElSQnypIRsImc8JK9rdNP/S+sJSeBW3KqZVNijG8HKPjSnBjjD5feDiFcQ/2o7cvzq2hzYowXQwgfAt4H3A2cyLmkjfp74I+AA3kXskmdwD3Au6kfq/9aCCHGGL+cb1nrdjUwG0L4HPV/YH0e+JN8SyotcyIxZcqJEmUEmBOpMSeyY04kxpxIVhlyoiwZAZvICU9IbZ0m6tfjLqkACznVokuEEG4Avgz8QYzx0bzr2YwY4weAKvW/fN+RcznrFkJ4O/BkjPGevGvZrBjj/THGt8YYn4oxjgEfB34+77o2oIX6/8j+JnAr8BIKfPw5ceZEosqSE0XPCDAnEmVOZMecSJQ5kY6y5ESJMgI2kRMupLbOcaDvkvf3U/wjqoUXQng59c3zH8YYP5V3PRsVQjgUQjgMEGOcAj5L/frcorkDeF0I4UHgLuCXQwgfybmmDQkh3LZ47fqSCk/fkLBITgFfiTGOxhingX+noP8bWwDmRILKkBMlyggwJ1JkTmTHnEiQOZGcUuREiTICNpETXrK3db4CfDCEUKV+Pe6vAu/Mt6TnthDCAeA/gDtijPfmXc8mDQIfCiHcRv1/zt4AfCLfktYvxvjapbdDCG8Dbo8xvie/ijalA7grhPAy6sds7wTelW9JG/J54FMhhA7gHPB66s8bbT1zIjElyolSZASYE4kyJ7JjTiTGnEhPiXKiLBkBm8gJT0htkRjjCerXsX4VeBD4lxjj/+Rb1XPe+4CdwIdDCA8u/inkkzzG+EXgC8B3ge8A98UY/zXfqp7bYoyf5/KZfCLGeH++Va3f4m/z+Evqvwnn/4CjwCdzLaqkzIkklSInzIg0mRNaL3MiSeaEnhVlyQjYXE5UarXa6o+SJEmSJEmStognpCRJkiRJkpQpF1KSJEmSJEnKlAspSZIkSZIkZcqFlCRJkiRJkjLlQkqSJEmSJEmZciEl5SSE8KUQQk/edUiS0mROSJIaMSdUdC6kpPy8Nu8CJElJMyckSY2YEyo0F1JSDkIIn1x886shhAO5FiNJSo45IUlqxJxQGVRqtVreNUjPSSGEGlCNMY7lXYskKT3mhCSpEXNCRecJKUmSJEmSJGXKhZQkSZIkSZIy5UJKys88sC3vIiRJyTInJEmNmBMqNBdSUn7uBr4eQrgx70IkSUkyJyRJjZgTKjRvai5JkiRJkqRMeUJKkiRJkiRJmXIhJUmSJEmSpEy5kJIkSZIkSVKmXEhJkiRJkiQpUy6kJEmSJEmSlCkXUpIkSZIkScqUCylJkiRJkiRlyoWUJEmSJEmSMvX/eczi9AbwayEAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Computing signal energies\nE0 = np.sum(x * np.conj(x)) * Dt\nE1 = np.sum(g1 * np.conj(g1)) * Dt\nE2 = np.sum(g2 * np.conj(g2)) * Dt\nE3 = np.sum(g3 * np.conj(g3)) * Dt\nE4 = np.sum(g4 * np.conj(g4)) * Dt\nE5 = np.sum(g5 * np.conj(g5)) * Dt\n\nprint('c0 = %.4f' % np.sum(x * np.conj(x) * Dt / np.sqrt(E0 * E0)))\nprint('c1 = %.4f' % np.sum(x * np.conj(g1) * Dt / np.sqrt(E0 * E1)))\nprint('c2 = %.4f' % np.sum(x * np.conj(g2) * Dt / np.sqrt(E0 * E2)))\nprint('c3 = %.4f' % np.sum(x * np.conj(g3) * Dt / np.sqrt(E0 * E3)))\nprint('c4 = %.4f' % np.sum(x * np.conj(g4) * Dt / np.sqrt(E0 * E4)))\nprint('c5 = %.4f' % np.sum(x * np.conj(g5) * Dt / np.sqrt(E0 * E5)))",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": "c0 = 1.0000\nc1 = 1.0000\nc2 = -1.0000\nc3 = 0.9614\nc4 = 0.6282\nc5 = 0.0000\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Numerical Computation of Coefficients $D_n$\nThere are several ways to numerically compute the Fourier series coefficients Dn , We will use MATLAB to show how to use numerical integration in the evaluation of Fourier series. To carry out a direct numerical integration of Eq. (2.60), the first step is to define the symbolic expression of the signal $g(t)$ under analysis. We use the triangle function $\\Delta(t)$ in the following example. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def func_tri(t):\n \"\"\"\n A standard triangle function of base -1 to 1\n Usage y = func_tri(t)\n t = input varible i\n \n \"\"\"\n t = np.array(t)\n return ((t > -1) * 1 - (t > 1) * 1) * (1 - np.absolute(t))",
"execution_count": 9,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Once the function func_tri defines $y=g(t)$, we can directly carry out the necessary integration of Eq. (2.60) for a finite number of Fourier series coefficients $\\{D_n, n = -N, ... , -1, 0, 1, ... , N\\}$. We provide the following MATLAB program called FSexample.m to evaluate the Fourier series of $\\Delta(t/2)$ with period $[a, b] (a=-2, b=2)$.\nIn this example, $N=11$ is selected. Executing this short program in MATLAB will generate _Fig.2.4_ with both amplitude and angle of $D_n$.\n\n![fig2.4](data:image/png;base64,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)\n_fig.2.4_"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import scipy\nfrom scipy.integrate import quad\n\n\ndef complex_quadrature(func, a, b, **kwargs):\n def real_func(x):\n return scipy.real(func(x))\n\n def imag_func(x):\n return scipy.imag(func(x))\n\n real_integral = quad(real_func, a, b, **kwargs)\n imag_integral = quad(imag_func, a, b, **kwargs)\n return (real_integral[0] + 1j * imag_integral[0], real_integral[1:],\n imag_integral[1:])",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# This example shows how to numerically evaluate\n# the exponential Fouier series coefficients Dn directly\n# The user needs to define a symbolic function g(t)\n# In this example, g(t)=funct_tri(t)\nj = 1j # Define j for complex algebra\nb = 2 # Determine one signal period\na = -2\ntol = 1.e-5 # Set integration error tolerance\nT = b - a # lenght of a period\nN = 11 # Number of FS coefficients on each side of zero frequency\nFi = np.arange(-N, N) * 2 * pi / T # Set frequency range\n# now calculate D_0 and store it in D(N+1)\nFunc = lambda t: func_tri(t / 2)\nD = np.zeros(2 * N + 1, dtype=np.complex_)\nD[N] = 1 / T * complex_quadrature(Func, a, b, epsabs=tol)[0]\n# Calculate Dn for n=1,.....,N (stored in D(N+2)... D(2N+1))\n# and calculate Dn for n=-N,.....,-1 (stored in D(1) ... D(N))\nfor i in range(1, N + 1):\n Func = lambda t: np.exp(-j * 2 * pi * t * i / T) * func_tri(t / 2)\n D[i + N] = complex_quadrature(Func, a, b, epsabs=tol)[0]\n\n Func = lambda t: np.exp(j * 2 * pi * t * (N + 1 - i) / T) * func_tri(t / 2)\n D[i - 1] = complex_quadrature(Func, a, b, epsabs=tol)[0]\n\nplt.figure(figsize=(20, 10))\n\nplt.subplot(211)\nplt.stem(np.arange(-N, N + 1), np.absolute(D))\nplt.ylabel(r'$|D_n|$')\nplt.title(r'Amplitude of $D_d$')\n\n# Incorrect angles\n\n# plt.subplot(212)\n# plt.stem(np.arange(-N, N+1), np.angle(D))\n# plt.ylabel(r'$< D_n$')\n# plt.title(r'Angle of $D_n$')\n\nplt.show()",
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1440x720 with 1 Axes>",
"image/png": 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HWSAAwPFy42335cDj80/aduDx+dx42309VQQAcHz0cU+n6SQLI+2pJE/85NVaeyzJxcvtqvrxJB9OctVqTzAzc/KxV8kxmZ3d2ncJwGEYm0yiTZs3JBnO9f3w3v1PuX0I38PQ+huOlmsc1h/jcnj6CJ3uT/Lqkfb2JA8uN6rq+UkubK19eGnTVJKDaznB3NxjmZ9fOPKBHBezs1uzZ8+jfZcBrGBsMqkOHjiUJIO5vk/dtiVzhwmeTt22ZRDfw9D6G46G90xYf4zLfk1PTx3VBJ8+ltfdnOS1VTVbVScluTTJJ0b2fzXJ+6vqb1bVVJK3J/nVHuoEAOjcJRecmc0bn/wj2OaN07nkgjN7qggA4PgYe+jUWnsgi0vlbk1yV5KdrbU7quqmqjqntbYnyfck+XiSlsWZTj8+7joBAI6H83ZszxUXvTAbN0wlSWa2bckVF73QX68DACZOH8vr0lrbmWTnim0Xj3z9K0l+Zdx1AQCMw3k7tufTdz2YTZs35J2vP6vvcgAAjos+ltcBAAAAMOGETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0buORDqiqd63xOT/VWvv0UdYDAAAAwAQ4YuiUZOq4VwEAAADARDli6NRae884CgEAAABgcqxmptNTqqp3JHldkv83yReSfKG1dnsXhQEAAAAwXMcUOiX57iTfmGQ2ycuSfGsSoRMAAADACe5YQ6dbkhxorX05yZeTfPTYSwIAAABg6I41dDo/yd1V9ctJfifJXa21rxx7WQAAAAAM2fSxPLi19g1J/nYWZzw9P8kPreZxVXV5VX2xqr5cVW9/muNeV1VCLAAAAICBWfVMp6r6+izew+mMJHuS3Jbk4621uSS3Lv1bzfOckeSaJK9Isj/JZ6vq1tbaF1cc99eT/JskU6utEQAAAID1YVUznapqRxaXz52X5C+SnJ7kJ5O0qnrFGs95YZJbWmsPt9b2JbkhyWWHOe5DSd6zxucGAAAAYB1Y7UynH0nyvtbajy5vqKrpJG9Nsquqzmmt/dEqn+v0JLtH2ruTnDt6QFX98yyGXP9tlc/5JDMzJx/Nw+jQ7OzWvksADsPYZBJt2rwhyfCub3XD+uYah/XHuBye1YZO5yb5ntENrbX5JNdV1WlJvi/JP1vlc00nWRhpTyWZX25U1UuSXJrktUmeu8rnfJK5uccyP79w5AM5LmZnt2bPnkf7LgNYwdhkUh08cChJBnd9HzxwKJs2bxhk3cnw+hvWwnsmrD/GZb+mp6eOaoLPam8kfmpr7ZGn2PcfsrhkbrXuT3LaSHt7kgdH2q9f2n9nkpuSnF5Vn1nD8wMAAADQs2P663VJ0lq7P8lz1vCQm5O8tqpmq+qkLM5q+sTI8/1Ia+3rW2tnJ7k4yYOttVcfa50AAAAAjM9ql9edXFV7ktw18u/uJF9qrR1aw/OktfZAVV2Vxb92tznJh1prd1TVTUne1Vq7c03fAQAAAADrzmrDolOTnL3072VJvj/Ji5Icqqp7kjxzLSdtre1MsnPFtosPc9wfJnnBWp4bAAAAgP6tKnRqrf15kk8t/UuSVNXmJH8riyHUWcehNgAAAAAGatXL4lZqrR1I8ttL/wAAAADgCUcMnarqXWt8zk+11j59lPUAAAAAMAFWM9Np6rhXAQAAAMBEOWLo1Fp7zzgKAQAAAGByTPddAAAAAACTR+gEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOc29nHSqro8ydVJNiW5trV23Yr9357kPUk2JPl8kitbawfGXigAAAAAR2XsM52q6owk1yQ5P8nZSa6sqheP7P+aJB9M8s2ttR1JnpHkTeOuEwAAAICj18fyuguT3NJae7i1ti/JDUkuW965tO0FrbU/qaqTkjwnySM91AkAAADAUepjed3pSXaPtHcnOXf0gNbawaq6KMlHkjyQ5DfXcoKZmZOPtUaO0ezs1r5LAA7D2GQSbdq8Icnwrm91w/rmGof1x7gcnj5Cp+kkCyPtqSTzKw9qre1KMlNVP5bkp5JcvtoTzM09lvn5hSMfyHExO7s1e/Y82ncZwArGJpPq4IFDSTK46/vggUPZtHnDIOtOhtffsBbeM2H9MS77NT09dVQTfPpYXnd/ktNG2tuTPLjcqKpTq+rvjuz/xSQvHVNtAAAAAHSgj9Dp5iSvrarZpXs2XZrkEyP7p5J8pKqev9R+fZLfGnONAAAAAByDsYdOrbUHklyV5NYkdyXZ2Vq7o6puqqpzWmtzSa5M8utVdXeSSvID464TAAAAgKPXxz2d0lrbmWTnim0Xj3z9a0l+bdx1AQAAANCNPpbXAQAAADDhhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnhE4AAAAAdE7oBAAAAEDnNvZx0qq6PMnVSTYluba1dt2K/d+W5D1JppJ8JcmbW2uPjL1QAAAAAI7K2Gc6VdUZSa5Jcn6Ss5NcWVUvHtm/LclPJXlda+2sJF9I8u5x1wkAAADA0etjed2FSW5prT3cWtuX5IYkl43s35Tk7a21B5baX0jy/DHXCAAAAMAx6GN53elJdo+0dyc5d7nRWptL8qtJUlXPTPKDSX5yLSeYmTn52KvkmMzObu27BOAwjE0m0abNG5IM7/pWN6xvrnFYf4zL4ekjdJpOsjDSnkoyv/KgqnpWFsOnu1tr16/lBHNzj2V+fuHIB3JczM5uzZ49j/ZdBrCCscmkOnjgUJIM7vo+eOBQNm3eMMi6k+H1N6yF90xYf4zLfk1PTx3VBJ8+ltfdn+S0kfb2JA+OHlBVpyX5TBaX1v2T8ZUGAAAAQBf6mOl0c5J3V9Vskn1JLk1y5fLOqtqQ5ONJPtpa+9Ee6gMAAADgGI09dGqtPVBVVyW5NcnmJB9qrd1RVTcleVeS5yV5eZKNVbV8g/E7W2tmPAEAAAAMRB8zndJa25lk54ptFy99eWf6WfYHAAAAQEeEOwAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOc29nHSqro8ydVJNiW5trV23VMc9wtJbmmt/fwYywMAAADgGI19plNVnZHkmiTnJzk7yZVV9eIVx5xeVR9Pctm46wMAAADg2PWxvO7CLM5eeri1ti/JDfkfw6XvTPJ/JvnouIsDAAAA4Nj1sbzu9CS7R9q7k5w7ekBr7QNJUlXnH80JZmZOPuri6Mbs7Na+SwAOw9g8/j7123+cX9j1pfzZI1/NXzvlmXnjRS/Ka17xvL7LmmibNm9IMrzrW92shteU/rjGYf0xLoenj9BpOsnCSHsqyXyXJ5ibeyzz8wtHPpDjYnZ2a/bsebTvMoAVjM3j7/Z7Hsr1u+7NgccX39b2PPLV/ORH78reR/8y5+3Y3nN1k+vggUNJMrjr++CBQ9m0ecMg606G199D5DWlP94zYf0xLvs1PT11VBN8+lhed3+S00ba25M82EMdANCpG2+774kPh8sOPD6fG2+7r6eKgCHzmgLA0PUx0+nmJO+uqtkk+5JcmuTKHuoAgE7N7d2/pu0AT8drCgBDN/aZTq21B5JcleTWJHcl2dlau6Oqbqqqc8ZdDwB0ZWbbljVtB3g6XlMAGLo+ZjqltbYzyc4V2y4+zHFvGldNAHCsLrngzCfdfyVJNm+cziUXnNljVcBQeU0BYOh6CZ0AYBIt39j35276Uh4/tJCZbVtyyQVnuuEvcFS8pgAwdEInAOjQeTu259N3Lf59jB/4zpf3XA0wdF5TABiyPv56HQAAAAATTugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOeETgAAAAB0TugEAAAAQOc29l0AAMfX7fc8lBtvuy8P792fU7dtySUXnJnzdmzvuywAWHe8ZwJ0S+gEMMFuv+ehXL/r3hx4fD5JMrd3f67fdW+S+CEaAEZ4zwTonuV1ABPsxtvue+KH52UHHp/Pjbfd11NFALA+ec8E6J7QCWCCze3dv6btAHCi8p4J0D3L64CxWr5Xwtze/Zlxr4TjbmbblsP+sDyzbUsP1QDA+uU9c/z8XAiTz0wnYGyW75Ww/APd8r0Sbr/noZ4rm1yXXHBmNm988kv95o3TueSCM3uqCADWJ++Z4+XnQjgxmOnECc9vWMbn6e6VoM+Pj+V+/bmbvpTHDy24xgHgKXjPHC8/F46fzz30Qei0DnkxGB9/pWS83CuhH+ft2J5P3/VgNm3ekHe+/qy+ywGAdct75vj4uXC8fO4ZP5/rF1let86YZjpe/krJeD3VPRHcKwEA4MTi58Lx8rlnvHyu/yu9zHSqqsuTXJ1kU5JrW2vXrdh/dpIPJdmW5NNJ3tJae3zshfZgyNNMl5Pch/fuz6kDSXKH/BuWISbnl1xw5pN+w5IM614JQ+zzIdPf46W/mWSu7/HT5+M1xP4e8s+FQ+zvSfjcM6TPmUP+XN+1sc90qqozklyT5PwkZye5sqpevOKwjyR5R2vt65NMJfmn462yP0N9MRhNchcynCR3qL9hGWpyft6O7bniohdm44apJIv9fMVFLxzEC+9Q+3yo9Pd46W8mmet7/PT5eA21v4f6c+FQ+3sSPvcM6XPmUD/XHw9TCwsLYz1hVV2R5O+01r57qf3DSaZaa/9qqf03ktzSWjtzqf3qJO9prX3TKp7+BUm+Mjf3WObnx/t9deX7/o//mrm9+/OSvfflpXv/4IntGzdO58zTt/VY2dO778G9eXxFkpus/7r3/sWBPDT3FxkdBlNTyfaZk7LtpM39FXYEQ+3vZX/0p48lSZ7/nJN7rmT1JqHPp6em8tzZr+m7lFWZhP5OhnON6+9+DG1cLhtafw/9+k70+bgNbWxOQn8nru/jzeee8Rqt+wvbvi6/v21xBt/Mti35wNte1WdpR216eiozMycnyd9M8oerfVwfy+tOT7J7pL07yblH2P/ctZxgqSMG6U3fsiMf/NjdT9o2NT2V7TMnZdPm9Xvf98O9ECxvX891z2zemA0bprP7z/bl0KGFbNo0nb9+6kl59tZn9F3a0xpqfy+bedZi/w6h1mX6fLz093jp736oezyGfn0n+nzc9Pd46e/x8LlnvLbPnJQH9uzLwshkmC2bNuRN37Ijs7Nbe6xs/Pr4vzSdZHQa0lSS+TXsP6Ihz3Ta8fxn541/r3LjbRvz+3vPfGKN8AvX+TTTH1+aobXSzLYtuXCdJ7nbk7yw7yLWaMj9nSz2+dBMQp/Pzm7Nnj2P9l3KqkxCfw+J/u7H0MblsqH199Cv70Sfj9vQxuYk9PeQDLm/fe4Zn+1JHjnMvb92PP/Zg3ltWWlkptPaHnccajmS+5OcNtLenuTBNeyfeOft2J4PvO1V+fAPflM+8LZXrft1zcnijQA3b3zy5TSUGwEOkf4eP30+Xvp7vPQ3k8z1PX76fLz093jp7/Eacn8P8XP98dDHTKebk7y7qmaT7EtyaZIrl3e21v57Vf1lVb2qtfZfk3xXkl091MkaLA+gof1VgaEa7e8h/dWMIdPn46W/x0t/M8lc3+Onz8dLf4+X/h4vnzOHb+w3Ek+Sqro8yQ8l2ZzkQ62191fVTUne1Vq7s6rOSvIzSbYl+Z0kb26treY27y/IwG8kPgmGNB0ZTiTGJqw/xiWsT8YmrD/GZb+GdCPxtNZ2Jtm5YtvFI1/fnSffXBwAAACAAenjnk4AAAAATDihEwAAAACdEzoBAAAA0Dkh664oAAAECklEQVShEwAAAACd6+VG4sfRhmTxrur0y/8DWJ+MTVh/jEtYn4xNWH+My/6M9P2GtTxuamFhoftq+nN+ks/0XQQAAADABHp1kt9a7cGTFjptSfLKJLuTHOq5FgAAAIBJsCHJaUk+n2T/ah80aaETAAAAAOuAG4kDAAAA0DmhEwAAAACdEzoBAAAA0DmhEwAAAACdEzoBAAAA0DmhEwAAAACdEzoBAAAA0DmhEwAAAACd29h3AUyWqnpvkkOttXcvtZ+d5BeTfG2SPUn+YWvtof4qhBNXVV2R5H1J/mRp02+01q7qsSQ4oVXV5UmuTrIpybWttet6LglOeFV1a5LnJDm4tOl7Wmuf67EkOGFV1bYkn03yLa21P6yqC5P8RJJnJvnPrbWrey2QVRE60YmqelYWXwD+lyTvH9n1o0k+01p7XVV9V5J/l+Q7eigRSM5J8s7W2i/1XQic6KrqjCTXJHlFkv1JPltVt7bWvthvZXDiqqqpJF+f5G+01h7vux44kVXVNyT5mSyOyVTVM5N8OMkFSf44yW9U1UWttV39VclqWF5HV74tyZeT/PiK7a/L4kynJPmlJBdV1aZxFgY84ZVJrqiq36uqj1TVKX0XBCewC5Pc0lp7uLW2L8kNSS7ruSY40dXSf3+zqu6uqnf0Wg2c2P5pkrcneXCpfW6SL7fWvrIUCn8kyev7Ko7VEzrRidbaL7TW3pfk0IpdpyfZvXTM40n2Jpkdc3nAot1J3pvkpVn8DdEH+y0HTmhPvD8u2Z3kuT3VAiw6Jcknk3x7ktcmeUtVfXO/JcGJqbX2T1prnxnZ5H1zoCyvY02q6vVJ/u2Kzfe21i58iodMHaY933lhwBNWM06r6v1J7htrYcCo6SQLI23vj9Cz1trtSW5fblfVzya5OMl/6a0oYJn3zYESOrEmrbWPJfnYGh7yQJLtSe6vqo1JtiaZOx61AYsON06r6llV9b2tteUwaiqJ+1VAf+5P8uqR9vb81RICoAdVdX6SLa21Ty5tmspf3VAc6Nf9SU4baXvfHAjL6zjebkryxqWvvyOLNxX35g3j91iS71+6KWOSvCPJr/ZYD5zobk7y2qqaraqTklya5BM91wQnumcn+UBVPaOqtia5It4rYb34XJKqqq+rqg1JLk/iJuIDIHTiePvhJH+7qu5J8rYs3gwOGLPW2qEk/zDJT1XVl7L4F7O+v9+q4MTVWnsgyVVJbk1yV5KdrbU7+q0KTmyttV9P8htJfjfJbyf58NKSO6BnrbW/TPKmJL+S5ItJ7s3iH+FgnZtaWFg48lEAAAAAsAZmOgEAAADQOaETAAAAAJ0TOgEAAADQOaETAAAAAJ0TOgEAAADQOaETAAAAAJ0TOgEAAADQuf8fdMcE7LCKslUAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Chapter 3.10"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def cart2pol(x, y):\n theta = np.arctan2(y, x)\n rho = np.hypot(x, y)\n return theta, rho",
"execution_count": 12,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "Ts = 1 / 64\nT0 = 4\nN0 = T0 / Ts\nt = np.arange(0, Ts * (N0 - 1), step=Ts)\nt = np.transpose(t)\n\ng = Ts * np.exp(-2 * t)\ng[0] = Ts * 0.5\nG = fft(g)\nGp, Gm = cart2pol(G.real, G.imag)\n\nk = np.arange(0, N0 - 1)\nk = np.transpose(k)\nw = 2 * pi * k / T0\n\nplt.figure(figsize=(15, 10))\nplt.subplot(211)\nplt.stem(w[:32], Gm[:32])\n\nplt.subplot(212)\nplt.stem(w[:32], Gp[:32])\nplt.show()",
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "B = 4\nf0 = 1 / 4\nTs = 1 / (2 * B)\nT0 = 1 / f0\nN0 = T0 / Ts\nk = np.arange(0, (N0))\nk = np.transpose(k)\n\ngk = np.zeros_like(k)\nfor m in range(0, len(k)):\n if k[m] >= 0 and k[m] <= 3:\n gk[m] = 1\n\n elif k[m] == 4 and k[m] == 28:\n gk[m] = 0.5\n\n elif k[m] >= 5 and k[m] <= 27:\n gk[m] = 0\n\n if k[m] >= 29 and k[m] <= 31:\n gk[m] = 1\n\ngk = np.transpose(gk)\nGr = fft(gk)\n\nplt.figure(figsize=(15, 10))\n\nplt.subplot(211)\nplt.stem(gk)\n\nplt.subplot(212)\nplt.stem(Gr)\n\nplt.show()",
"execution_count": 14,
"outputs": [
{
"output_type": "stream",
"text": "/home/stefan/anaconda3/lib/python3.6/site-packages/numpy/core/numeric.py:492: ComplexWarning: Casting complex values to real discards the imaginary part\n return array(a, dtype, copy=False, order=order)\n",
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "q = np.arange(32)\nq = np.transpose(q)\nHq = np.zeros_like(q)\n\nfor m in range(0, len(q)):\n if q[m] >= 0 and q[m] <= 7:\n Hq[m] = 1\n elif q[m] >= 25 and q[m] <= 31:\n Hq[m] = 1\n elif q[m] >= 9 and q[m] <= 23:\n Hq[m] = 0\n elif q[m] == 8 and q[m] == 24:\n Hq[m] = 0.5\n\nHq = np.transpose(Hq)\nYq = Gr * Hq\nyk = np.fft.ifft(Yq)\n\nplt.figure(figsize=(15, 5))\n\nplt.stem(k, yk)\nplt.show()",
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"text": "/home/stefan/anaconda3/lib/python3.6/site-packages/numpy/core/numeric.py:492: ComplexWarning: Casting complex values to real discards the imaginary part\n return array(a, dtype, copy=False, order=order)\n",
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x360 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Chapter 4.9"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from numpy import sinc\n\n\ndef triplesinc(t, Ta):\n \"\"\"\n Baseband signal for AM\n Usage m=triplesinc(t,Ta)\n t is the length of the signal\n Ta is the parameter, equaling twice the delay\n \"\"\"\n sig_l = sinc(2 * t / Ta)\n sig_2 = sinc(2 * t / Ta - 1)\n sig_3 = sinc(2 * t / Ta + 1)\n return 2 * sig_l + sig_2 + sig_3",
"execution_count": 16,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# This program uses triplesinc, m to illustrate DSB modulation and demodulation\nts = 1.e-4\nt = np.arange(-0.04, 0.04, step=ts)\nTa = 0.01\nm_sig = triplesinc(t, Ta)\n\nLfft = len(t)\nLfft = int(2**np.ceil(np.log2(Lfft)))\n\nM_fre = fftshift(fft(m_sig, Lfft))\nfreqm = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\ns_dsb = m_sig * np.cos(2 * pi * 500 * t)\nLfft = len(t)\nLfft = int(2**np.ceil(np.log2(Lfft) + 1))\nS_dsb = fftshift(fft(s_dsb, Lfft))\nfreqs = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\nTrange = [-0.03, 0.03, -2, 2]\n\nplt.figure(figsize=(15, 10))\n\nplt.subplot(221)\ntd1 = plt.plot(t, m_sig)\n# plt.axis(Trange)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$m(t)$')\n\nplt.subplot(223)\ntd2 = plt.plot(t, s_dsb)\n# plt.axis(Trange)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$s_{DSB}(t)$')\n\nFrange = [-600, 600]\nplt.subplot(222)\nfd1 = plt.plot(freqm, abs(M_fre))\nplt.xlim(Frange)\nplt.xlabel(r'$f(Hz)$')\nplt.ylabel(r'$M(f)$')\nplt.subplot(224)\nfd2 = plt.plot(freqs, abs(S_dsb))\nplt.xlim(Frange)\nplt.xlabel(r'$f(Hz)$')\nplt.ylabel(r'$S_{DSB}(f)$')\n\nplt.show()",
"execution_count": 17,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 4 Axes>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from scipy.signal import firwin as fir1\nfrom scipy.signal import lfilter\n\n# This program uses triangl to illustrate AM modulation\nts = 1.e-4\nt = np.arange(-0.04, 0.04, step=ts)\nTa = 0.01\nm_sig = triangl((t + 0.01) / 0.01) - triangl((t - 0.01) / 0.01)\nLm_sig = len(m_sig)\nLfft = len(t)\nLfft = int(2**np.ceil(np.log2(Lfft)))\nM_fre = fftshift(fft(m_sig, Lfft))\nfreqm = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\nB_m = 150 # Bandwidth of the signal is B_m Hz .\nh = fir1(40, [B_m * ts])\nfc = 300\ns_dsb = m_sig * np.cos(2 * pi * fc * t)\n\nt = np.arange(-0.04, 0.04, step=ts)\nLfft = len(t)\nLfft = int(2**np.ceil(np.log2(Lfft)))\nS_dsb = fftshift(fft(s_dsb, Lfft))\nfreqs = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\n\ns_dem = s_dsb * np.cos(2 * pi * fc * t) * 2\nS_dem = fftshift(fft(s_dem, Lfft))\n\ns_rec = lfilter(h, 1, tuple(s_dem))\nS_rec = fftshift(fft(s_rec, Lfft))\n\nTrange = [-0.025, 0.025, -2, 2]\n\nplt.figure(figsize=(15, 10))\n\nplt.subplot(221)\nplt.plot(t, m_sig)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$m(t)$')\nplt.title('Мessage signal')\n\nplt.subplot(222)\nplt.plot(t, s_dsb)\nplt.xlabel(r'$t(s)$')\nplt.ylabel(r'$s_{dsb}(t)$')\nplt.title('DSB-SC modulated signal')\n\nplt.subplot(223)\nplt.plot(t, s_dem)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$e(t)$')\nplt.title(r'e(t)')\nplt.xlim(Trange[:2])\n\nplt.subplot(224)\nplt.plot(t, s_rec)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$m_d(t)$')\nplt.title('Recovered signal')\n\nplt.tight_layout()\nplt.show()",
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 4 Axes>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# This program uses triangl.m to illustrate AM modulation and demodulation\nts = 1.e-4\nt = np.arange(-0.04, 0.04, step=ts)\nTa = 0.1\nfc = 500\nm_sig = triangl((t + 0.01) / 0.01) - triangl((t - 0.01) / 0.01)\nLm_sig = len(m_sig)\nLfft = len(t)\n# Lfft = 2**np.ceil(np.log2(Lfft)) # redundant\nM_fre = fftshift(fft(m_sig, Lfft))\nfreqm = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\nB_m = 150 # Bandwith of the signal is B_m Hz\nh = fir1(40, B_m * ts)\n\n# AM signal generated by adding a carrier to DSB- SC\ns_am = (1 + m_sig) * np.cos(2 * pi * fc * t)\nLfft = len(t)\nS_am = fftshift(fft(s_am, Lfft))\nfreqs = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\n\n# Demodulation begins by using a rectifier\ns_dem = s_am * (s_am > 0)\nS_dem = fftshift(fft(s_dem, Lfft))\n\n# Using an ideal LPF with bandwidth 150 Hz\ns_rec = lfilter(h, 1, s_dem)\nS_rec = fftshift(fft(s_rec, Lfft))\n\nTrange = [-0.035, 0.035, -2, 2]\n\nplt.figure(figsize=(15, 10))\n\nplt.subplot(221)\nplt.plot(t, m_sig)\nplt.xlabel(r'$t(sec)')\nplt.ylabel(r'$m(t)$')\nplt.title('Message signal')\nplt.xlim(Trange[:2])\n\nplt.subplot(222)\nplt.plot(t, s_am)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$s_{DSB}(t)$')\nplt.title('AM modulated signal')\nplt.xlim(Trange[:2])\n\nplt.subplot(223)\nplt.plot(t, s_dem)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$e(t)$')\nplt.title(r'Rectified signal without local carrier')\nplt.xlim(Trange[:2])\n\nplt.subplot(224)\nplt.plot(t, s_rec)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$m_d(t)$')\nplt.title('Recovered signal')\nplt.xlim(Trange[:2])\n\nplt.tight_layout()\nplt.show()\n\nplt.figure(figsize=(15, 10))\n\nFrange = [-700, 700, 0, 200]\n\nplt.subplot(221)\nplt.plot(freqm, abs(M_fre))\nplt.xlabel(r'$f(HZ)$')\nplt.ylabel(r'$M(f)$')\nplt.title('Message spectrum')\nplt.xlim(Frange[:2])\n\nplt.subplot(222)\nplt.plot(freqs, abs(S_am))\nplt.xlabel(r'$f$(Hz)')\nplt.ylabel(r'$S_{AM}(f)$')\nplt.title('AM spectrum')\nplt.xlim(Frange[:2])\n\nplt.subplot(223)\nplt.plot(freqs, abs(S_dem))\nplt.xlabel(r'$F(Hz)$')\nplt.ylabel(r'$E(f)$')\nplt.title('Rectified spectrum')\nplt.xlim(Frange[:2])\n\nplt.subplot(224)\nplt.plot(freqs, abs(S_rec))\nplt.xlabel(r'$f(Hz)$')\nplt.ylabel(r'$M_d(f)$')\nplt.title('Recovered spectrum')\nplt.xlim(Frange[:2])\n\nplt.tight_layout()\nplt.show()",
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 4 Axes>",
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 4 Axes>",
"image/png": 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\n"
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]
},
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"cell_type": "markdown",
"source": "## SSB-SC Modulation and Demodulation\nTo illustrate the SSC-SC modulation and demodulation process, this exercise generates an SSBSC\nsignal using the same message signal m1 (t) with double triangles. The carrier frequency\nis still 300 Hz. The MATLAB program ExampleSSBdemf il t. m performs this function.\nCoherent demodulation is applied in which a simple low-pass filter with bandwidth of 150 Hz\nis used to distill the recovered message signal.\nThe time domain signals are shown in Fig. 4.36, whereas the corresponding frequency\ndomain signals are shown in Fig. 4.37. "
},
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},
"cell_type": "code",
"source": "# This program uses triangl.m\n# to illustrate SSB modulation and demodulation\nts = 1.e-4\nt = np.arange(-0.04, 0.04, step=ts)\nTa = 0.1\nfc = 300\nm_sig = triangl((t + 0.01) / 0.01) - triangl((t - 0.01) / 0.01)\nLm_sig = len(m_sig)\nLfft = len(t)\nM_fre = fftshift(fft(m_sig, Lfft))\nfreqm = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\nB_m = 150\nh = fir1(40, B_m * ts)\n\ns_dsb = m_sig * np.cos(2 * pi * fc * t)\nLfft = len(t)\nS_dsb = fftshift(fft(s_dsb, Lfft))\nL_lsb = int(np.floor(fc * ts * Lfft))\nSSBfilt = np.ones(Lfft)\nSSBfilt[Lfft // 2 - L_lsb:Lfft // 2 + L_lsb] = np.zeros(2 * L_lsb)\nS_ssb = S_dsb * SSBfilt\nfreqs = np.arange(-Lfft / 2, Lfft / 2) / (Lfft * ts)\ns_ssb = ifft(fftshift(S_ssb)).real\ns_ssb = s_ssb[:Lm_sig]\n\n# Demodulation begins by multiplying with the carrier\ns_dem = s_ssb * np.cos(2 * pi * fc * t) * 2\nS_dem = fftshift(fft(s_dem, Lfft))\n\n# Using an ideal LPF with bandwidth 150 Hz\ns_rec = lfilter(h, 1, s_dem)\nS_rec = fftshift(fft(s_rec, Lfft))\n\nTrange = [-0.025, 0.025, -1, 1]\n\nplt.figure(figsize=(15, 10))\n\nplt.subplot(221)\nplt.plot(t, m_sig)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$m(t)$')\nplt.title('Message signal')\n# plt.xlim(Trange[:2])\n\nplt.subplot(222)\nplt.plot(t, s_ssb)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$S_{SSB}(t)$')\nplt.title('SSB-SC modulated signal')\n# plt.xlim(Trange[:2])\n\nplt.subplot(223)\nplt.plot(t, s_dem)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$e(t)$')\nplt.title('After multiplying local carrier')\n# plt.xlim(Trange[:2])\n\nplt.subplot(224)\nplt.plot(t, s_rec)\nplt.xlabel(r'$t(sec)$')\nplt.ylabel(r'$m_d(t)$')\nplt.title('Recovered signal')\n# plt.xlim(Trange[:2])\n\nplt.tight_layout()\nplt.show()\n\nplt.figure(figsize=(15, 10))\n\nFrange = [-700, 700, 0, 200]\n\nplt.subplot(221)\nplt.plot(freqm, abs(M_fre))\nplt.xlabel(r'$f(HZ)$')\nplt.ylabel(r'$M(f)$')\nplt.title('Message spectrum')\nplt.xlim(Frange[:2])\n\nplt.subplot(222)\nplt.plot(freqs, abs(S_ssb))\nplt.xlabel(r'$f$(Hz)')\nplt.ylabel(r'$S_{DSB}(f)$')\nplt.title('Upper sideband SSB-SC spectrum')\nplt.xlim(Frange[:2])\n\nplt.subplot(223)\nplt.plot(freqs, abs(S_dem))\nplt.xlabel(r'$F(Hz)$')\nplt.ylabel(r'$E(f)$')\nplt.title('Detector spectrum')\nplt.xlim(Frange[:2])\n\nplt.subplot(224)\nplt.plot(freqs, abs(S_rec))\nplt.xlabel(r'$f(Hz)$')\nplt.ylabel(r'$M_d(f)$')\nplt.title('Recovered spectrum')\nplt.xlim(Frange[:2])\n\nplt.tight_layout()\nplt.show()",
"execution_count": 20,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 4 Axes>",
"image/png": 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