ITU-T G.227.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ITU-T G.227 の周波数特性\n",
    "\n",
    "まず、ITU-T G.227 https://www.itu.int/rec/T-REC-G.227-198811-I/en\n",
    "\n",
    "記載の伝達関数を周波数特性としてグラフ化。普通のフィルタのグラフと違ってyはゲインではなくロスなので注意\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy import signal\n",
    "import json\n",
    "\n",
    "def g227(niq, size):\n",
    "    f = np.linspace(0, niq, size)\n",
    "    p = 1j * f / 1000\n",
    "    numerator = 18400 + 91238*p**2 + 11638*p**4 + p*(67280 + 54050*p**2)\n",
    "    denominator = 400 + 4001*p**2 + p**4 + p*(36040 + 130*p**2)\n",
    "    loss = np.abs(numerator / denominator)\n",
    "    dB = 20 * np.log10(loss)\n",
    "    # adjust gain\n",
    "    dB -= np.min(dB)\n",
    "    loss = np.power(10, dB / 20)\n",
    "    return f, loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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88suZOHEiALt376Zdu3ZcffXVDB8+nPvuuw+Azz77jJdffplPP/2U9PR03nvvPe655x5mzJjBU089xcaNG1mxYgWVlZWMHDmS/Px8Pz66U1Jxi4jEoxDWiL00c+ZMNmzYwGWXXXb0OTNj7dq1PPTQQ1x00UX88Ic/ZP78+aSkfFFF1113HVlZWQDceeedTJw4kfvuu49JkyYxZ84cfve73wFw+PBhcnNzKS0tZebMmUyePPnoPOpezauut956i8WLF3PmmWcCgSuX7du3D4CpU6dyyy23kJqaSmpqKrfddpunp1dtChW3iIiEnXOOgQMH8umnn37ptX379rF582bS09PZu3cveXl5Ic3vjTfeoHv37sc8X1pa2qBM99xzD7/+9a9Dfk800s5pIiISdueccw5r1qxh6tSpR5+bO3cuzjnuvvtuvv71rzN+/HhuuukmSkpKjk7zxhtvcOjQIaqqqnjhhRcYM2YMAFdffTWPPvoo1dXVQGBz+IYNG8jKyuKcc87hscceOzqP3bt3A9CyZctjLv151VVX8fzzz7N161YAqqurmT9/PgBjxoxhwoQJVFVVceTIEf75z3969Mk0nYpbRETCrnXr1kyaNIlf/epXDBo0iH79+vHwww/z2GOPUVZWxk9/+lMuvPBCbrjhBsaNG3f0fUOHDuWSSy6hX79+dO3a9ehrf/jDH0hOTmbQoEGcfvrpXHrppUevk/3iiy8yY8YMBgwYwKBBg3j22WcBuP322/nnP//J4MGDef755xk5ciSPPPIIV199NYMGDWLAgAG8+eabAIwbN46uXbvSr18/xowZw4gRIyL8iYVOm8pFRMQTI0aMYNq0aV96/oEHHjh6/z//8z+PeW3AgAE899xzX3pPixYtePLJJ4+7nC5duvDGG28cd/nLly8/5rlbb72VW2+99UvTpqWl8ac//cnTy3qGi9a4RUREYojWuEVEJCo899xzx4x3y/FpjVtEJE445/yOICcQzu9GxS0iEgcyMjLYs2ePyjsKOefYs2cPGRkZYZmfNpWLiMSB3Nxctm7dyq5du/yO0iRlZWVhK7hoWnZGRga5ublhmZeKW0QkDqSmplJQUOB3jCabNm2ab+cJ93PZDaFN5SIiIjFExS0iIhJDVNwiIiIxRMUtIiISQ1TcIiIiMUTFLSIiEkNU3CIiIjFExS0iIhJDVNwiIiIxRMUtIiISQ1TcIiIiMUTFLSIiEkNU3CIiIjFExS0iIhJDVNwiIiIxRMUtIiISQ1TcIiIiMUTFLSIiEkNU3CIiIjFExS0iIhJDVNwiIiIxRMUtIiISQ1TcIiIiMUTFLSIiEkNU3CIiIjFExS0iIhJDVNwiIiJRpHjt4pO+ruIWERGJIkXv//6kr3ta3GaWbWavmtlKMys0s7PNrI2ZTTazNcGfrb3MICIiEiuqKsrouXvKSafxeo37j8D7zrm+wCCgEHgQ+Mg51wv4KPhYREQk4a2c8SbZlJ50Gs+K28xaASOBZwGccxXOuf3AWGB8cLLxwDVeZRAREYklFQtfYj9ZJ53GnHOeLNzMBgNPAysIrG3PB+4Hipxz2cFpDNhX+7je+8cB4wBycnKGTZgwwZOcIvWVlpaSlXXy/3AiOZ9YW3Ys0HcTvRL5u6muOMzZM+7i88yRXPSzifOdc8OPN12KhxlSgKHA95xzs83sj9TbLO6cc2Z23L8cnHNPEyh+hg8f7kaNGuVhVJEvTJs2jXD8ewvXfGJt2bFA3030SuTvZuHbT9HMyukw8l5g4gmn83KMeyuw1Tk3O/j4VQJFvsPMOgEEf+70MIOIiEhMSF4+kWLacdqZl5x0Os+K2zm3HdhiZn2CT11IYLP5JODO4HN3Am96lUFERCQWHNi9jdMOz2V9x8tITk4+6bRebioH+B7wDzNLA9YDdxP4Y+FlM7sX2AR8zeMMIiIiUW311BcZYTV0OPu2U07raXE75xYBxxtcv9DL5YqIiMSSlmveYH1SN3oOPPOU0+rMaSIiIj7aU7SOPhXLKcq9nMDBVien4hYREfHRhk//AUDnc28OaXoVt4iIiI9arX+H1Uk96N57YEjTq7hFRER8smvLanpVrmRn3mUhbSYHFbeIiIhvNn76TwByQ9xMDipuERER32RveIfVyT3J7zUg5PeouEVERHywc/NKelWtZmfe5Q16n4pbRETEB7Wbybudf2uD3qfiFhER8UGbje+wKrk3Xbv3bdD7VNwiIiIRVrxhBT2r1rI7v2GbyUHFLSIiEnGbPwtsJs8/75YGv1fFLSIiEmHtNr3LypS+dCnoc+qJ61Fxi4iIRND29cvoUb2OvY3YTA4qbhERkYjaMuNfAOSdF/pJV+pScYuIiERQ600fsDK5D7n5vRv1fhW3iIhIhOwuWkvPqjXs7npJo+eh4hYREYmQjdNfAqDzWTc0eh4qbhERkQhpvv591id1o6BPaJfwPB4Vt4iISAQc3F1M77KlFHe6MORLeB6PiltERCQC1nz2MsnmaDfi+ibNR8UtIiISAamr36GIHHoPPLtJ81Fxi4iIeOzQwb30PTyfTR1GY0lNq14Vt4iIiMdWT3+NNKui5dDrmjwvFbeIiIjXCt9iN9n0G3FRk2el4hYREfFQedkh+hz8nLVtLiA5ObnJ81Nxi4iIeGjVjEk0s3IyB44Ny/xU3CIiIh6qWPYmB10z+p7duKuB1afiFhER8UhNVSU9933Gypbnkp6eGZZ5qrhFREQ8sm7+ZLIphb5XhG2eKm4RERGPHFg0iXKXQp9zrwnbPFXcIiIiXnCOzjumsSJjCK2yW4dttipuERERD2xbu5jONcUcLrg4rPNVcYuIiHigaPZrAHQ7u+lnS6tLxS0iIuKBFpunsCapO7ndeoV1vipuERGRMDu4u5je5SvY2WlM2Oet4hYREQmztTNfI8kcbYeFb2/yWipuERGRMEta/R47aEPvQeeGf95hn6OIiEgCqyg7TO+SOWxocz5JyeGvWRW3iIhIGK2e/R7NrJz0/ld6Mn8Vt4iISBgdWfoWh1w6fc8O32lO61Jxi4iIhImrqSFv96esaj6CzGbNPVmGiltERCRMNiybRQ57qOz5Fc+WoeIWEREJk13zX6fGGd3PvdazZai4RUREwqRt0VRWpfalfU5Xz5ah4hYREQmD/Ts207NqDXu6hP9saXWpuEVERMJgw+dvANBu6FhPl6PiFhERCYOktR+ynXb0HjDC2+V4OncREZEEUF1ZTs/SuaxvfY4nZ0urS8UtIiLSRGvnTaY5ZaT28e4wsFoqbhERkSY6uOQdyl0KvT06W1pdKm4REZEmytnxGSvTB9KqVWvPl6XiFhERaYJdm1eRV7OF0rzREVmeiltERKQJNs5+E4DOI7w9DKyWiltERKQJ0jdMYat1JL/X6RFZnopbRESkkcqPlNLr0EK2tD0PS4pMpaq4RUREGmnNnPfJtAoy+18asWWquEVERBrp0LL3OOLS6HPGZRFbpopbRESkMZwjd/d0VjUbQmbzrIgtVsUtIiLSCFvWLqWL2055/oURXa6KW0REpBGK5gYOA+t6RmQOA6ul4hYREWmErM0fszEpl84FfSO6XBW3iIhIA5UdOkDvI0vY1u78iC9bxS0iItJAa2e/S5pVkdk/cnuT11Jxi4iINFB54Qcccun0PeOSiC9bxS0iItIQztF590xWZQ4hMzMz4otXcYuIiDTAjk2FdHI7OJI3ypflq7hFREQaYOvctwDoNPRyX5av4hYREWmA1I1TKSKHgt6RuRpYfSpuERGREFVVlNHj0EI2tzkrYlcDq8/TpZrZRjNbamaLzGxe8Lk2ZjbZzNYEf7b2MoOIiEi4rFvwMc0pI6X3Rb5liMSfC6Odc4Odc8ODjx8EPnLO9QI+Cj4WERGJegeWvk+lS6bXmVf4lsGP9fyxwPjg/fHANT5kEBERabC2O6azOq0v2a3b+pbBnHPezdxsA7APcMBTzrmnzWy/cy47+LoB+2of13vvOGAcQE5OzrAJEyZ4llOkrtLSUrKymn6JvnDNJ9aWHQv03USvaP5uKkr3ccm8u3i75U1kDb3Z0yyjR4+eX2dL9TFSPF0ynOecKzKzDsBkM1tZ90XnnDOz4/7l4Jx7GngaYPjw4W7UqFEeRxUJmDZtGuH49xau+cTasmOBvpvoFc3fzYK3/gJAz1G30HfoBRFK9WWebip3zhUFf+4EXgfOAHaYWSeA4M+dXmYQEREJh5q1H7OPFvQadJ6vOTwrbjNrbmYtau8DlwDLgEnAncHJ7gTe9CqDiIhIOLiaagoOzGZd1giSk5N9zeLlpvIc4PXAMDYpwD+dc++b2VzgZTO7F9gEfM3DDCIiIk22ccUcCtjPuu5j/I7iXXE759YDg47z/B7gQq+WKyIiEm47FrxLAdDtzCv9jqIzp4mIiJxKi6JPWJ/UjZwuBX5HUXGLiIiczOHS/fQqW8aODuf6HQVQcYuIiJzUmtnvk2bVZJ32Fb+jACpuERGRkypfOZkjLo1eIy72Owqg4hYRETmpzntmsipzEBmZzf2OAqi4RURETmj3ltXk1myjNNe/M6XVp+IWERE5gc3z3gEgZ/ClPif5gopbRETkBGzDJ+ykNT36DfM7ylEqbhERkeNwNdUUHJzH+pYjSEqOnrqMniQiIiJRZPOK2WRTgisY5XeUY6i4RUREjmPnovcByBt+uc9JjqXiFhEROY7MrdPZYHl06er/aU7rUnGLiIjUU1l+mJ5HllDc9ky/o3yJiltERKSetfM/JsMqSe/t/2U861Nxi4iI1HNw+WQqXTI9R0TP8du1VNwiIiL1tN0xg9WpfWnVuo3fUb5ExS0iIlLHwX076V65lv0dz/E7ynGpuEVEROpYP+c9kszRakB0XA2sPhW3iIhIHRVrPuaQy6DXkOi5sEhdKm4REZE6Ou+ZzZpmg0lPz/A7ynGpuEVERIK2b1pFrivmSO75fkc5IRW3iIhI0JZ57wKQMyT6DgOrpeIWEREJStr4CbtoTUHfoX5HOSEVt4iICFBTU033kvlsbDkCS4reeozeZCIiIhFUunMDrTmI6z7K7ygnpeIWEREBkrcvAiB/RHRdxrM+FbeIiAjQsWQJG5Ny6dAlui7jWZ+KW0REEl5F2WFOqyqkuM3Zfkc5JRW3iIgkvA0Lp5JpFaT1Hu13lFNScYuISMI7uGIyVS6J7sOj9/jtWipuERFJeK23z2RlUg9at2nrd5RTUnGLiEhCO3JwHwUVq9nUbKDfUUKi4hYRkYS2Yf6HJJvjSHsVt4iISNQ7vOpjyl0qLTr38ztKSFTcIiKS0NrumsOq9NNIT0v3O0pIVNwiIpKwSvZup6B6PQc7Rv/x27VU3CIikrA2zP0AgJanXehzktCpuEVEJGGVr53GIZdB78Ej/Y4SMhW3iIgkrI57ZrM6cyAZGRl+RwmZiltERBLS3u2b6FpTxOHOsTO+DSpuERFJUJvmBca32wy42OckDaPiFhGRhFS9fhoHXHN6nX6W31EaRMUtIiIJqcu+uaxtPoSU1FS/ozSIiltERBLOjk0r6eR2Up57rt9RGkzFLSIiCWfrgsD4dodBl/icpOFU3CIiknBsw6fsphXd+w71O0qDqbhFRCShuJoauh6cz4asoSQlx14Nxl5iERGRJihat4T27KO62/l+R2kUFbeIiCSUbQsD49udh3zF5ySNo+IWEZGEkrp5OsW0o2v30/yO0igqbhERSRg11dUUlC5gS6vhWFJsVmBsphYREWmETYVzyKYUCmLnamD1qbhFRCRh7Fg8GYC8YbE5vg0qbhERSSCZW2ewxTrTsWtPv6M0mopbREQSQlVlBT0OL2Zb6xF+R2kSFbeIiCSE9UtmkGVHSO5xgd9RmkTFLSIiCWHvsikA5A+P3fFtUHGLiEiCyCqeyYakbrTLyfU7SpOouEVEJO5VlR+hx5FlFLeJ7fFtUHGLiEgC2LD4UzKtgtSeo/yO0mQqbhERiXsHVkyh2hkFMXz8di0Vt4iIxL2s4s9Zm9yDdu07+B2lyVTcIiIS16rKDtG9rJCdbYf7HSUsVNwiIhLXNi7+hDSrIq1H7J6fvC4Vt4iIxLX9hVOpdkb3YRf5HSUsVNwiIhLXsopnsTa5O+3b5/gdJZgTVwEAACAASURBVCxU3CIiEreqyg9TUFbIrjgZ3wYVt4iIxLFNiz8h3SpJjfHzk9fleXGbWbKZLTSzt4OPC8xstpmtNbOXzCzN6wwiIpKY9hVOpcYZ3YfGx/g2RGaN+36gsM7j/wYec871BPYB90Ygg4iIJKDmtePbHeJjfBs8Lm4zywWuAJ4JPjZgDPBqcJLxwDVeZhARkcRUXXGE7kdWsLNN/IxvA5hzzruZm70K/D+gBfAj4C5gVnBtGzPrCrznnBtwnPeOA8YB5OTkDJswYYJnOUXqKi0tJSsrK2rmE2vLjgX6bqJXOD+fI1uXcNna/+DVzg/SrvfZEV12U40ePXq+c+64f3GkeLVQM7sS2Omcm29moxr6fufc08DTAMOHD3ejRjV4FiKNMm3aNMLx7y1c84m1ZccCfTfRK5yfz7zx71HjjJHX3E2HDh0jumwveVbcwLnA1WZ2OZABtAT+CGSbWYpzrgrIBYo8zCAiIgmqefEs1iXn0yuE0o4lno1xO+d+5pzLdc7lAzcBHzvnbgWmAtcHJ7sTeNOrDCIikpiqK45QcGQ5O+Lg+tv1nbK4zex+M2tpAc+a2QIzu6QJy/wp8ICZrQXaAs82YV4iIiJfsmnJZ2RYJak9zvc7StiFssZ9j3PuIHAJ0Bq4HXi0IQtxzk1zzl0ZvL/eOXeGc66nc+4G51x5g1OLiIicxN4VH1PjjIKhF/sdJexCKW4L/rwceME5t7zOcyIiIlGn+bZZrE/Op0NOJ7+jhF0oxT3fzD4kUNwfmFkLoMbbWCIiIo1TXVFGQdkydsTZ8du1Qtmr/F5gMLDeOXfYzNoAd3sbS0REpHE2Lf2M7lSS0j3+xrchtDXus4FVzrn9ZnYb8HPggLexREREGmfv8sD4dv6wpuxHHb1CKe4ngcNmNgj4IbAOeN7TVCIiIo3UbNss1id3IycOx7chtOKucoHzoo4FHnfOPUHgFKYiIiJRpbqyPDC+3To+x7chtOIuMbOfETgM7B0zSwJSvY0lIiLScJuWfEYmFaR0H+l3FM+EUtw3AuUEjufeTuA0pb/1NJWIiEgj7F3xMQDdhsXP9bfrO2VxB8v6H0Cr4IVDypxzGuMWEZGo02zb56yzbnTs2MXvKJ4J5ZSnXwPmADcAXwNmm9n1J3+XiIhIZNVUllNwZBnb43h8G0I7jvshYIRzbieAmbUHpgCvehlMRESkITYunU53KkiJw/OT1xXKGHdSbWkH7QnxfSIiIhGzd3lwfDsOz09eVyhr3O+b2QfAv4KPbwTe9S6SiIhIwzXb9jnrLY/unXL9juKpUxa3c+7HZvZV4NzgU0875173NpaIiEjoaiorKDiyjAVtrqC732E8FsoaN865icBEj7OIiIg0yqZlMyignOQ4PT95XScsbjMrAdzxXgKcc66lZ6lEREQaYM+yjygg/se34STF7ZzTaU1FRCQmZNaOb3fu6ncUz2nvcBERiWmB8e2lFLce5neUiFBxi4hITNu0fCbNKCe5IP7Ht0HFLSIiMW7Pso8AyEuA8W0IsbjNrJuZXRS8n2lmGv8WEZGokFn0ORusK5275PkdJSJCOVf5Nwic3vSp4FO5wBtehhIREQlFTWUF+UeWUpydGOPbENoa93cJnHzlIIBzbg3QwctQIiIiodi84nOaU4bF8fW36wuluMudcxW1D8wsheMf3y0iIhJRu5cGx7eHxO/1t+sLpbg/MbN/BzLN7GLgFeAtb2OJiIicWkbR52ywXLrkdvM7SsSEUtwPAruApcA3gXedcw95mkpEROQUaqoqKTiyhOLs+L7+dn2hnKv8e865PwJ/rX3CzO4PPiciIuKLLcs/pxtlWMF5fkeJqFDWuO88znN3hTmHiIhIg+yqPX57SGIcv13rZBcZuRm4BSgws0l1XmoB7PU6mIiIyMlkFM1ko3Uhv2u+31Ei6mSbymcCxUA74Hd1ni8BlngZSkRE5GRcdSX5h5eypPUl5PsdJsJOdnWwTcAm4OzIxRERETm1zStm0Y0jJOWf63eUiDvhGLeZTQ/+LDGzg3VuJWZ2MHIRRUREjlV7/HbXoZf4nCTyTrbGfV7wp85LLiIiUSVt6+dssi7k5eb7HSXiQjlXeQ8zSw/eH2Vm3zezbO+jiYiIfJmrrqTg8BKKsodhZn7HibhQDgebCFSbWU/gaaAr8E9PU4mIiJzAlhWzyeIwlp9Yx2/XCqW4a5xzVcC1wP85534MdPI2loiIyPHtqj0/+eDEOn67VijFXRk8pvtO4O3gc6neRRIRETmxtKLP2WSd6ZxX4HcUX4RS3HcTOCTsEefcBjMrAF7wNpaIiMiXueoqCg4tZlurxBzfhhCK2zm3AvgRsNTMBgBbnXP/7XkyERGRerYWJvb4NoRwkREzGwWMBzYCBnQ1szudc596G01ERORYO5Z+RFega4Kdn7yuUK4O9jvgEufcKgAz6w38CxjmZTAREZH60rZ+zmbrRNe87n5H8U0oY9yptaUN4JxbjXZOExGRCAuMby+iKIHHtyG0Ne55ZvYM8GLw8a3APO8iiYiIfNnWlXPpymEsAc9PXlcoa9zfBlYA3w/eVgSfExERiZgdweO3cxN4fBtCWON2zpWb2ePAR0ANsMo5V+F5MhERkTrStsxgC53IzevpdxRfhXKu8iuAdcAfgceBtWZ2mdfBREREarnqKvIPLWZrqyEJPb4Noe9VPto5txYCFx0B3gHe8zKYiIhIrS0r55HHIUjg47drhTLGXVJb2kHrgRKP8oiIiHzJzqVTAMhN0POT1xXqXuXvAi8DDrgBmGtm1wE4517zMJ+IiAhpW2eyhY7k5vfyO4rvQinuDGAHcEHw8S4gE7iKQJGruEVExDOupppupYspbDWSrgk+vg2h7VV+dySCiIiIHE/g+O1SnMa3gdDOVV4AfA/Irzu9c+5q72KJiIgE7Fz6MV2BLoMv8jtKVAhlU/kbwLPAWwSO4xYREYmYlC0z2EoOXfN7+x0lKoRS3GXOuT95nkRERKQeV1NNfukiClueT67Gt4HQivuPZvZL4EOgvPZJ59wCz1KJiIgARavmkavx7WOEUtynA7cDY/hiU7kLPhYREfHMjqUfkwt0GaTx7VqhFPcNQHedn1xERCItZfMMiuhA1+59/I4SNUI5c9oyINvrICIiInUFxrcXsqXl0IQ/P3ldoaxxZwMrzWwux45x63AwERHxTNHqheRSSk23xL7+dn2hFPcvPU8hIiJSz/YlkwPj2zo/+TFCOXPaJ2aWA4wIPjXHObfT21giIpLoUjfPpIgO5HXv63eUqBLK9bi/BswhsJPa14DZZna918FERCRxBc5PvpCtLXX97fpC2VT+EDCidi3bzNoDU4BXvQwmIiKJa9vqhXShhOo8Hb9dXyh7lSfV2zS+J8T3iYiINMr2JYHrb3fW+PaXhLLG/b6ZfQD8K/j4RuA97yKJiEiiS9kyk220p1sPjW/XF8rOaT82s+uA2u0VTzvnXvc2loiIJCpXU01eyUJWtTybzhrf/pITFreZ9QRynHMznHOvAa8Fnz/PzHo459ZFKqSIiCSO4rWL6MxBavJ0/PbxnGys+g/AweM8fyD4moiISNgVL54MQGddf/u4TlbcOc65pfWfDD6X71kiERFJaMmbZ1JMO7p17+d3lKh0suI+2fnJM081YzPLMLM5ZrbYzJab2a+CzxeY2WwzW2tmL5lZWkNDi4hIfHI1NXQrWcimlkOxJB3AdDwn+1Tmmdk36j9pZl8H5ocw73JgjHNuEDAYuNTMzgL+G3jMOdcT2Afc2/DYIiISj8r3bqY1B6npeo7fUaLWyfYq/wHwupndyhdFPRxIA6491Yydcw4oDT5MDd5qr+N9S/D58cDDwJMNDS4iIvGnZvsSQMdvn4wF+vUkE5iNBgYEHy53zn0c8szNkgmUfk/gCeC3wKzg2jZm1hV4zzk34DjvHQeMA+iU02HYSy/+PdTF+q4mKR2XlOx3DGmk0tJSsrKyomY+sbbsWKDvJnqlT/8v8ivXsvKCZyK+qTyavpvRo0fPd84NP95roRzHPRWY2pgFO+eqgcFmlg28DoR8JL1z7mngaYDhnZPd+dNvbkwEfySlQrte0L4vdOj3xc/WBZAcyjlvxE/Tpk1j1KhRUTOfWFt2LNB3E51cTQ37pt3OmpZnMnrMmIgvP1a+m4i0iHNuv5lNBc4Gss0sxTlXBeQCRaecQcsucMlPPE4ZLg4O7YKdK6FoHix/7YuXktOgXe9AkbfvCx36Qvt+0KYAtIYuIgmueN1iOnOQ6m46P/nJeFbcwYuRVAZLOxO4mMCOaVOB64EJwJ3Am6ecWVYHOOc+r6J6q7wUdq+CXatgZyHsWglb5sCyOtdoSU4PFHqHvseupbfOV6GLSMIoXjSFzkDnQRf6HSWqebnG3QkYHxznTgJeds69bWYrgAlm9htgIfCshxn8l54FXYYFbnWVl8Cu1bCr8ItC3zwLlr7yxTQpGcFC73fsWnp2PugwCRGJM8mbp7PdtaFbj/5+R4lqnhW3c24JMOQ4z68HzvBquTEjvQXkDgvc6io7CLtXf1HmOwth43RY8tIX06RkQvvegc3stZvbO/SFVnkqdBGJSa6mhryShSxLG0hH/X/spLSnVLTJaAm5wwO3usoO1Nncviqwpr7hU1gy4YtpUptDt3Ng6B3Q5zJITo1sdhGRRtq2bgldOMDeVl86yEjqUXHHioxW0PWMwK2uI/u/KPIdK2Dl2/Dy7dC8Awy5LVDibQr8ySwiEqLixZPpAiR1PN3vKFFPxR3rMrMh78zADeAr/wVrp8CC8TDjDzD999B9FAy7C/pcASk6w6yIRJ/kTTPYQRtatOnkd5Sop+KON8kp0OfSwO1AESz6Byx4Hl65C5q1g8G3wNA7oV1Pv5OKiAC15ydfwNoWI3R+8hDoE4pnrbrABT+B+xfDrRMh7yz4/Al4fBg8dyUsfRWqyv1OKSIJbtu6JbThANW6/nZItMadCJKSoddFgVvJ9sBa+PzxMPFeyGwDg26GYXdC+z5+JxWRBFS8eApdCFx/e0PRXr/jRD2tcSeaFh3h/B/C9xfB7W9AwUiY8zQ8cQb87TJY/BJUHvE7pYgkkKTNM9hJG/J6aI/yUKi4E1VSEvQYDV8bDw8UwsW/htLt8Po4+F0fmPJw4KxvIiIecjU1dDu4gE0thmh8O0T6lASy2sO598P3FsCdb0OPMTD9MfjzWbDqfb/TiUgc27ZuCW3Zr/HtBlBxyxfMoOB8uOE5uOcDSGsO/7oRXrodDm7zO52IxKFti6cA0GmQrr8dKhW3HF/eWfDNz+DCX8CaD+HxM2D201BT7XcyEYkjyZuC49s9Nb4dKhW3nFhKWmBHtu98Dl1HwHs/hmcuguIlficTkTgQOD/5Aja3GKzx7QbQJyWn1qY73PYafPVZOLAFnh4FHzyknddEpEmK1i2lHfupytP1txtCxS2hMYPTr4f75sLQ2+Hzx7Xzmog0SfHR8e2LfE4SW1Tc0jCZreGqPwZ3XsvSzmsi0mhJm2ewi9bk9dSFRRpCxS2Nk3cWfPPTY3deW/CC36lEJEa4mhrydPx2o+jTksaru/NalyEw6T5450dQXel3MhGJckXrltGefVR31fHbDaXilqZr0z1w+tRzvgdz/wovXAuH9vidSkSiWPHiyQB01Ph2g6m4JTySkuGS38C1T8GWOfDXUbB9qd+pRCRK2eaZ7CabvF4D/Y4Sc1TcEl6DboK73wtsLn/2Eljxpt+JRCTK1I5vb2wxVOPbjaBPTMIvdxiMmwY5/eHlO+DjR6Cmxu9UIhIltq5fTgf2Ut31HL+jxCQVt3ijRcfABUsG3wqf/g+8fDuUl/idSkSiQPGi2vFtnZ+8MVTc4p3UDBj7BFz6KKx6D565GPau9zuViPgsafMMjW83gYpbvGUGZ30bbpsIJcXw1zGw4TO/U4mIT44ev52l85M3lj41iYweo2HcVGjeAV78Kqz+0O9EIuKDreuW0YG9Oj95E6i4JXLadA/scd6hL0y4BQrf8juRiERY8eLAH+0a3248FbdEVvO2cMck6DwYXr4Tlr7qdyIRiaCUTdMD19/W+Hajqbgl8jKz4fbXIe9smPh1neNcJEG4mhryS3T8dlPpkxN/pLeAW18JjH1Pug/m/NXvRCLisaI1i2jDAWq6aXy7KVTc4p+0ZnDzBOhzObz7I5j5f34nEhEPbQ+Ob3ca8hWfk8Q2Fbf4KyUdvvY89L8WPvw5fPJbvxOJiEdSN09nG+3J697P7ygxLcXvACIkp8JXn4WUTJj6G6guhzE/9zuViISRq6kmv3QhhS3Po7OZ33FimopbokNScuAsa8mp8OlvA2Pg597vdyoRCZOilXPJpZTqbuf7HSXmqbgleiQlwZWPQUUpTP4FZLSCYXf5nUpEwmD7kinkArlDL/E7SsxTcUt0SUqGa/4CZQfhrR8Eyrv/tX6nEpEmSt8ynS10Ii+/l99RYp52TpPok5IW2GEt72yY+A1YM8XvRCLSBDVVleQfWszW7GGYxrebTMUt0SmtGdwyIXB61Jdug82z/E4kIo20ecXntOAwVjDS7yhxQcUt0SujFdz2OrTqAv/4Gmxf6nciEWmEXUsCW83yhun47XBQcUt0y2oPt78B6VnwwrWwZ53fiUSkgTKLZrLRcumcm+93lLig4pbol901UN6uBl68Dg7t9juRiISoqqKc7oeXsK31GX5HiRsqbokN7XvDLS9DyXb4101QecTvRCISgg1LPqOZlZPSQ+Pb4aLiltiROxyu+ytsnQevjYOaGr8Ticgp7Fv+EQAFw3X8driouCW2nHY1XPIbKJwEU37pdxoROYXm22ayLqmA9jld/I4SN1TcEnvO/i6M+DrM/BPMfdbvNCJyAhVlh+lRtpwdbUf4HSWuqLgl9pjBpf8Nvb4SuBzo6g/9TiQix7F+4TQyrJL0XqP8jhJXVNwSm5JT4Pq/Qc4AeOUuKF7idyIRqedA4cdUO6PHMI1vh5OKW2JXelZgT/PMbPjXzVC60+9EIlJHy+2fsy6lJ9lt2/sdJa6ouCW2tewEN/0TDu8JnBq1qtzvRCIClB0uoUd5IXva6/jtcFNxS+zrPBiu+TNsmQ3vPADO+Z1IJOGtnf8RaVZNZu9RfkeJO7qsp8SHAdfBzhXw6W8h53Q461t+JxJJaKUrP6bSJdNj2EV+R4k7WuOW+DHq36HPFfDBz2Ddx36nEUlorXfMZl1qb1q0auN3lLij4pb4kZQE1z0F7fvCK3frgiQiPik9uI8elavZl3Om31Hikopb4kt6C7j5X2BJgT3Ny0v9TiSScNbNm0yK1dCi7xi/o8QlFbfEn9b5cMNzsGcNTLpPO6uJRNiRVR9T4VLoOUzF7QUVt8Sn7hfAhb+A5a/DrCf9TiOSUNrvns2a9NPIaNbC7yhxScUt8evcH0DfK2Hyf8CmmX6nEUkIB3Zvo0f1eg50OtfvKHFLxS3xyyxwfHd2t8BpUUu2+51IJO5tmPs+ANn9L/Y5SfxScUt8y2gFN74AZQcDe5pXV/qdSCSuVa2dRonLpOfg8/2OErdU3BL/cvrD1X+CzTNhysN+pxGJa533zmZ15mDS0tL8jhK3VNySGAZ+Dc4YB58/HthhTUTCbvfWVXR22zmcq/FtL6m4JXFc8gjkngFvfBd2rfI7jUjc2TIvML7dYdBXfE4S31TckjhS0gLHd6c1C1xJrLzE70Qi8WX9J+ykNT1PG+53krim4pbE0qoLXP832LMW3tTJWUTCxdVUk39wLhtaDCM5WdXiJX26kngKRsKFv4QVb8CsP/udRiQuFK2aT2sOUt3tAr+jxD0VtySmc+8PnpzlF7Blrt9pRGLe9kUfANB12KU+J4l/Km5JTGYw9glo2RlevQeO7PM7kUhMS9/yGZutM7n5vfyOEvdU3JK4MrPh+uegZJvGu0WaoLqygu6HF1PU+gzMzO84cU/FLYktdxhc9CtY+TbMedrvNCIxaf3iT2hOGSk9R/sdJSF4Vtxm1tXMpprZCjNbbmb3B59vY2aTzWxN8GdrrzKIhOTs70LvS+HDn8O2hX6nEYk5+5ZOpsYZ3UdofDsSvFzjrgJ+6Jw7DTgL+K6ZnQY8CHzknOsFfBR8LOIfM7jmSWjeHl65i+SqQ34nEokpLYpnsDalB23bd/Q7SkLwrLidc8XOuQXB+yVAIdAFGAuMD042HrjGqwwiIWvWJnB89/4t9Fn1hMa7RUJ0pPQAPcsL2dX+bL+jJAxzEfgflJnlA58CA4DNzrns4PMG7Kt9XO8944BxADk5OcMmTJjgeU6RvE2v0n3DC6zq/W2KOzdts19paSlZWVlhShY7y44F+m7C5+CGuVy96Te83u0XtC4Y1uT56bsJGD169Hzn3HFPQed5cZtZFvAJ8Ihz7jUz21+3qM1sn3PupOPcw4cPd/PmzfM0pwgANTXs/b/RtDlYCN/4GDoOaPSspk2bxqhRo8KXLUaWHQv03YTP7L98m8HFr1D14w00z2rR5PnpuwkwsxMWt6d7lZtZKjAR+Idz7rXg0zvMrFPw9U7ATi8ziDRIUhKF/f4NMlvDK3dCeanfiUSiWvtdn7Mm/bSwlLaExsu9yg14Fih0zv2+zkuTgDuD9+8E3vQqg0hjVKZlw1efgT3r4L2f+h1HJGrt27WN7tUbONhJl/GMJC/XuM8FbgfGmNmi4O1y4FHgYjNbA1wUfCwSXQrOh/N/CItehGUT/U4jEpU2zH0PgNanX+xzksSS4tWMnXPTgROdQudCr5YrEjajHoQNn8Bb/wZdhkPrbn4nEokqVWunUuIy6TXoPL+jJBSdOU3kRJJT4bq/gquB18ZBdZXfiUSih3N03Tebtc2HkJKa5neahKLiFjmZNgVw5WOwZRZ8+lu/04hEjeINK+jkdlKWp8t4RpqKW+RUBt4AA2+CT/8HNn3udxqRqFA0/x0AOg293OckiUfFLRKKK/4XsrvBa9/QJUBFgNSN0yiiA916Nv5cB9I4Km6RUKS3gK8+CyXF8Pa/6ZSoktBqKivocWgBm7LPwpJUI5GmT1wkVLnDYPRDsPx1WPii32lEfLNh8SdkcYTkXmP8jpKQVNwiDXHuD6BgJLz3E9i9xu80Ir7Yu+R9qp3R44wr/I6SkFTcIg2RlATXPgUpGTDxXqgq9zuRSMRlF09nVUof2rXv4HeUhKTiFmmolp1h7ONQvBg+/k+/04hEVOn+XXSvWMWejjrNqV9U3CKN0fcKGH4vzPw/WPuR32lEImb97HdJNkf2gK/4HSVhqbhFGusrj0D7vvDGd+DwXr/TiERExeoplLhMeg8b5XeUhKXiFmms1MzAKVEP74G37tchYhL/nCN37yxWNxtKelq632kSlopbpCk6DYQxP4fCSbD4X36nEfFU8YbldHQ7Ke82yu8oCU3FLdJU53wPup0H7/4Y9m7wO42IZ7bOC5zmtPMwHQbmJxW3SFMlJcO1fwFLhte/BTXVficS8UTqxmlstY5063ma31ESmopbJByyuwbOZ75lFkx/zO80ImFXVVFOr0ML2NL6LMzM7zgJTcUtEi6n3wADvgrT/h8ULfA7jUhYrV04leZWRlrvi/yOkvBU3CLhYgZX/A6ycuC1b5BUXeZ3IpGw2b/0A6pcEj3P1GU8/abiFgmnzNZwzZOwZy091j3ndxqRsGmzfTpr0vrQqnVbv6MkPBW3SLh1vwDOvo8u296D1R/6nUakyQ7s2UHPyjXs63i+31EEFbeINy78BaXNu8Gb34HSXX6nEWmSdbPfJskcbQbqNKfRQMUt4oWUdAr7PQBlB+Ct7+usahLTalZ/yH6y6Dn4Ar+jCCpuEc8cysqHix6GVe/Cgud9TiPSOK6mmoL9s1iTNYKU1FS/4wgqbhFvnfltKLgA3n8Q9qzzO41Ig20tnE1b9lPZ/UK/o0iQilvES0lJgb3Mk1PhtXFQXeV3IpEG2TH/bQDyz7ja5yRSS8Ut4rVWXeDKP0DRPPjsf/1OI9IgLbZOY3VSTzrndvM7igSpuEUiYcB1MPBG+OR/YMtcv9OIhOTQ/t30LF/BTh0GFlVU3CKRcvlvoWUXeH0clJf6nUbklNbOmkSyOVqdfpnfUaQOFbdIpGS0gmufDFz688Of+51G5JSqVk3mgGtOn2Fj/I4idai4RSIp/7zA9bvn/x1Wve93GpETcjXVdNv3OauzRpCWpsPAoomKWyTSxvwccgbApPvg0G6/04gc1+YVc2jHPqq662pg0UbFLRJpKelw3dPBs6rdr7OqSVTaseAtAArOGutzEqlPxS3ih5z+cOEvYOXbsOgffqcR+ZKWW6exJqkHHbvk+R1F6lFxi/jlrO9C/vnw3k8DO6yJ/P/27jw+yuru+/jnlwTCFgIhgBDWsMsiq+JSAYuIqIhLtUUtqEUtj7XW2z61q7X3c1ut3q27VdxwQaxWFNzYZKkg+yJLWAKEHcKWsAWyneePDBowgYTMzJlJvu/Xa16ZOXPNOd+5TjK/zHauCHEoay9tj6fpa2ARSoVbxJcTq6pZDEy4BwoLfCcSASB93iTirJDErkN8R5ESqHCL+FSvOQx5ErbOgzlP+04jAkDB2ilFXwPrPcB3FCmBCreIb91ugnOHwYxHYedy32mkinOFhbQ88DXr6/ShWrXqvuNICVS4RXwzg6v/AbUaFB2IJC/HdyKpwjJWz6MhByhoo6OBRSoVbpFIUCsJhj0Pe9bA9L/4TiNV2J7FEyl0RusLr/MdRUqhwi0SKdoOhPPvgnkvwIYZvtNIFZW0bTpr49rTqElz31GkFCrcIpFk4COQ3B4+Gg05B3ynkSoma/dW2uatY2+K1iaPZCrcIpGkei247iU4kgmfPug7jVQxG+Z+CECjXlotLZKpcItEmpSe0O8hWPkBrPjAdxqpQuLSJ7OTZNp1ucB3FDkNFW6RSHTJr6BZH/j0Acje5juNVAG5Do28PwAAGvVJREFUx47S7vAiMpJ+QEysSkMk0+yIRKLYuKKXzAvyi97vLiz0nUgqufXzPqOWHSe+81W+o8gZqHCLRKoGbWDwo7BpFix4yXcaqeSOrPyUIy6eThdqmdNIp8ItEsl6joD2g2Hqw5CZ5juNVFKusJCW+2aztnZvataq7TuOnIEKt0gkM4Ohz0J8Anw4CvJzfSeSSmjzmoU0dnvJTb3cdxQpAxVukUhXpxEMfQZ2rYCZf/WdRiqhXQs+AiD1ohs8J5GyUOEWiQYdr4Iet8Gcp2Dz177TSCVTf9uXrIttT6OmLXxHkTJQ4RaJFoP/CvVawIS74dhB32mkkti3exvt8tayN0WH8IwWKtwi0SI+oegrYtlbYfJvfaeRSmLD3AnEmNNqaVFEhVskmrToW7Q4y9K3Ie0T32mkEqiW/gWZJNGm64W+o0gZxfkOUBb5hY7MQ8cAMOzbdvvubLFWsGJXnNxefPuSb3y2fZaWixK2Pd325b4fpQ0mlVe/hyB9Gky6r2h1tYTGvhNJlDqec4iOhxewLPlqGsXoeVy0iIrCnbbzIOf/z3TfMaLKd/9QFG+rwD80Zdi+XP+AlGXbCvxDQ5lyFW//7kJu7nHiv55e6pgnjVLqP31GTk4ONRfMKPf9ONO+MaBFwSheOPoAe968k2ajJ5X+36LIaayfO4kulkuNrtf4jiLlEBWFO6VeTf4yrAuueKP77pIruRlXlm1Oaj9phFK2d2fo4/vbntp+ct8lb1OePsu9X0rJVZbtSzlb4v0I2n4pZz8lb1/KtiX0t3PnLs45J7lc45d0dtfu4zRuVO977WX5/Tt5Tksa81ze2D6Su/e8zOapz9Ny0L2IlFfuyolkudp06qvV0qJJVBTupNrVubVvS98xpIqYOfMA/fufF4R+ZtK/f48gJCrZoZwuLHxiPl3m/oXDXQZSp2nHkI0llU9hfh5tDvyHtLoX0bdGDd9xpBz0poZIlEqoGU/8jf/kuItj31u3Fx2QRKSM1i+aQiKHsY5X+44i5aTCLRLFup17Ll91+B0tc1az9oNHfMeRKHJo6QSOuWp0vGSY7yhSTircIlFu8M2jmRXfnzZpz7F37VzfcSQKuMJCmmfOYFWtPiQm1jvzDSSiqHCLRLm42Bha//RF9rj65L4/isLjR3xHkgi3edXXRQcVaXul7yhyFlS4RSqBFilNWdP3cZrmbyPtzft9x5EIl7ngAwqc0fYHN/qOImdBhVukkug/+EamJd5A5+3/Im/rQt9xJII12j6NtOpdadioqe8ochZUuEUqCTOj1x1PsYHmdN/wHMey9/iOJBFo58aVtCrcQnarK3xHkbOkwi1SidRPrEv2lc+T6A6x4fWflb7CjVRZW+a+D0DLi3/kOYmcLRVukUqm5wX9mJRwM52zZrJ68hjfcSTC1N/8Betj29CsVQffUeQsqXCLVEIJ3W9gRWxnWsx7mP3b033HkQixd3s67fPWsLvZYN9RpAJUuEUqoepxcdS6eQw4x563bsdpVTUBNs0eB0DKxT/xnEQqQoVbpJJq074zSzo/RIdj37D0X4/6jiMRoN7GT1kfk0rr9l19R5EKCFnhNrPXzCzTzFYWa0sys6lmtj7ws36oxhcRuOSG+1hY82K6rHmabWkLfMcRj/ZuS6dd3hp2N9eiK9EulM+43wBOfSPlIWC6c64dMD1wWURCJCY2hpYjx3DQapP/wSjyjh/1HUk8OfEyeTO9TB71Qla4nXOzgf2nNF8LjA2cHwtodXuREGvUOIWMi5+gVUEGS9940Hcc8SRxU9HL5K30MnnUMxfC73maWSvgE+dcl8DlLOdcvcB5Aw6cuFzCbe8C7gJo3Lhxr/Hjx4csp0hxhw8fpk6dOhHTT7DGLpj3HANypvFJm0eo26LixxuPZpE2N6F2LHs3g5fexSd1h1On581hHbu8qtrclGbAgAGLnXO9S7zSOReyE9AKWFnsctYp1x8oSz+9evVyIuEyY8aMiOonWGMfPpjltvy5o9v5cBuXfWBv+ENFkEibm1Cb/84jzj1c121a903Yxy6vqjY3pQEWuVJqYrg/Vb7bzJoABH5mhnl8kSqrdkIiR696nmS3j7Wv3eM7joRRvU2fkB6bSqt2epm8Mgh34Z4IjAicHwF8HObxRaq0Dr0vY1GLO+lzcAoLP33VdxwJg8yt6bTPW0tm8yG+o0iQhPLrYO8CXwMdzGybmd0JPAZcbmbrgYGByyISRr1v+x/WxXWg3cI/sWPrRt9xJMS+XXTlEn2avLII5afKf+Kca+Kcq+aca+ace9U5t88590PnXDvn3EDn3KmfOheREIurHk+dH79KvMsl8+2fUVBQ6DuShFCDTRNZF9uWlm27+I4iQaKV00SqoKZtu5LW7Td0P76YOeP1wldltXPDN7TNX09mq6G+o0gQqXCLVFE9rnuAVbUuoM+6f7Bu5WLfcSQEts56k0JnpA74qe8oEkQq3CJVlMXE0GzkKxy3eAo/vIucnGO+I0kQucJCUrZOYmX8eTRt1tp3HAkiFW6RKiyxUQt2Xfo4HQvT+fqN3/iOI0G0cflsUtwujna43ncUCTIVbpEqruNlt7A8+Sr67RrLgv9M9h1HgmTv1+9w3FWj02W3+o4iQabCLSJ0vP159sY2pMn0+9izb5/vOFJBBfl5tM2czMo6fUms38B3HAkyFW4RIb52fXKveYEUt5tVr//ixJLEEqVWz5lIA7Kxrjf5jiIhoMItIgA073E5q1qPoP/hT5kx8U3fcaQCji15j4PU5tx+N/qOIiGgwi0i3+pyy+NsqZZKtyV/ZOPmDN9x5CwcPXKQc7Nmsab+AGrUrOU7joSACreIfMuq1aD28Neoa0fY/fbd5OYV+I4k5ZT25Thq2zFq9x7uO4qEiAq3iJykQesebDrvQS7Mm8fUcU/6jiPlVGPVeLbTmE59B/uOIiGiwi0i39Ph2t+QXqcXAzb+L0uXLPAdR8po//Z0OuUsY2PKUGJiY33HkRBR4RaR74uJIeX2seRaPLUnjSL74CHfiaQMNk4bA0CzAXd6TiKhpMItIiWq2aA5BwY9RXuXwdLX9BWxSOcKC2iaMYGV8efRum0n33EkhFS4RaRUrS+6gWUpt9A/awLzPnvLdxw5jbXzJ9PU7ebouTf7jiIhpsItIqfVdcTf2RjXlk4LfsuOzem+40gpDs17g0OuJt0u1xKnlZ0Kt4icVmz1GtQaPpZq5HPg7RHk5+X5jiSnyM7aT+esmaQ1GEit2nV9x5EQU+EWkTM6J7ULa3r9mc55K1n81u98x5FTrJ42llp2nKSLb/cdRcJAhVtEyqTX0J+zoO4gem8ew/oFOopYJKm/5l22xDSjTY8BvqNIGKhwi0iZdbjjJXbEnEO9z3/OkQOZvuMIkL58Dh3z17Kr3XAsRg/pVYFmWUTKLLFeEgeGvERiYRabXh2JKyz0HanK2z/7JY65anS44i7fUSRMVLhFpFy69enH3NT76HJ4Dgvf/5vvOFVazqEsOu+dzPJ6PyQxqaHvOBImKtwiUm6X3vonltW8gO6rn2DN0q98x6my0qa8VnRAkYv0bLsqUeEWkXKLiY2h9Z1vkB1Tl9oTf8a+fXt9R6p6nCMp7S3SY1rRuY8+lFaVqHCLyFlJTG7KoatfpknhbtaPGUl+vg4BGk6bls+mVf5GdupDaVWOZltEzlpqr8tJO/dX9D32H2a89d++41Qp+2a+wBFXg66DR/mOImGmwi0iFdL1R38gre7F9Mt4hrmzvvAdp0rIytxOtwPTWJE8mHr1k3zHkTBT4RaRiomJIXXUWxyITabVl/+HjVu2+E5U6a3/7BmqWz6NLr/fdxTxQIVbRCosPqEBsTePJdmyyBw7ksPHcn1HqrQKco+RmjGeJfF9SO3Yw3cc8UCFW0SCIrnDhWw7/w/0LVjM9DG/1fG7Q2T11DdoQBb5fe7xHUU8UeEWkaBJvfJ+0htdwdV7X+WTie/7jlP5OEftpS+zyZrTs/91vtOIJyrcIhI8ZrS54xX2VG/GBUt+zcKVab4TVSrrFk4mNX8D2zuOJC4u1ncc8USFW0SCymrUpe6Id0mwHOI+GMnO/dm+I1UaR2c9wwES6HHV3b6jiEcq3CISdLWadSX78n/QgzUseXk0x7U4S4VtX7eU7kfmkJbyI2rXSfAdRzxS4RaRkDjn4lvY2O4Orjr2CZ+OfcJ3nKiX+fljHHXxtBv6oO8o4pkKt4iETOqPn2BT3d5cteVJpk/X4ixna//2dLrsn8ri5KE0bJziO454psItIqETG0fzUeM5GJdEp9mjSUvf4DtRVNo08TEc0Oyq/+s7ikQAFW4RCam4hIbEDR9Hkh3i2LjbyDp0xHekqHIgczudd33E4npX0Dq1ve84EgFUuEUk5Oq36c2uSx+jR+Eq5r98L4WFWpylrNZ+9BjVyeecK3/jO4pECBVuEQmLVpfdSVrLW7ji0IdMHfe/vuNEhew92+m2/T2WJAygdcfuvuNIhFDhFpGw6XjbU6yr3ZsB6x9lyexJvuNEvPUT/h/x5JJ09Z98R5EIosItImFjcdVpcc/77I5tQuqX97B94yrfkSJW1q7NdNnxPvPrDtLBROQkKtwiElY1EpKIu/VfABS8fRM5B/d7ThSZ0v/9Z2JcIedc87DvKBJhVLhFJOyapHZm02X/pEnBTjb980cU5Of5jhRRdm5eS7fMj1mUdA2p7Tv7jiMRRoVbRLzocek1zO30e849uoiFL96lw4AWs+Pfv6OQGFKv13vb8n0q3CLiTb8f/xfzzxlO330f8uUbf/YdJyJsWjaLXgensTjlVs5p3sZ3HIlAKtwi4tX5o55lZWI/BmQ8zdT3X/Qdxy/nyP/sIfZQjy436b1tKZkKt4h4ZbFxdBo9no21unDpyj8w/fMPfEfyZsWU12mXu5rVHX9JYr36vuNIhFLhFhHvYuNr0WL0RPZWT6HPvHuZ/Z+ZviOFXc6RQyTPe5T0mNZceP0vfMeRCKbCLSIRoXpCEg3unkRebC3aTxvJ10uW+Y4UVt+M+z1N3B6OD3yU6tWr+Y4jEUyFW0QiRo3kllQf+RF1YnJp9PFPWLZmve9IYbF1zSJ6bnub+YmD6XzREN9xJMKpcItIRElo0Y38m8aRYnupMf4G1mza4jtSSLnCAnI+/AWHrRapw//uO45EARVuEYk49Tr15/B1b5LKdvLHXkfGjl2+I4XMso+fpn3ualZ3eZCGjVN8x5EooMItIhEp+bwr2TtkDB3YRPaYYezau9d3pKDbtXkN7Zc/zjfVz6Pvdff5jiNRQoVbRCJW0/OvZ+dlz9ClcA07Xrye/VnZviMFTUF+PgfevoNCZzQY/gqxsXo4lrLRb4qIRLQWl95KxiVP0D3/G7Y+dzWHDh7wHSkoFo57hE55q0jr8QdSWrX3HUeiiAq3iES8NpePIu3CJ+ict5Idz17JsUPRfUSxjctm0nPD8yyt/QP6DB3tO45EGRVuEYkKnQePYskFT9E6dx07nh7IvswdviOdlfycbOp8fCd7rQGt73gNi9HDsJSPfmNEJGqcP2QESy5+kaZ5Wzj44iDWrkvzHalc8vPySFr0JImFWey58mXqNWjkO5JEIRVuEYkqfQfdzI6r3yHZ7aP+O1cyZ/Y035HKbMGYe+lZ8A3LuvyO8y4Y4DuORCkVbhGJOql9riB3xOcQG0f36cP56L3XKCyM7ON5Lxj/Vy7KHM+MmoO54MYHfMeRKKbCLSJRqUHr7tS9dxb7a7bkmtUP8MELf+Do8TzfsUq0avo4eqU9ztKaF+L6jAIz35Ekiqlwi0jUqpGUQrNffcm2hpdy097nmP/kDWzPjKyFWlbMeI92s+9lfVw72o1+j5iYON+RJMqpcItIVLP4BFqO/oiN3R7g0rzZ5LzQn2+WLfQdC4AFU8bTYeZoMuJak3zPJ9RJSPQdSSoBFW4RiX4xMaRe/zC7h44jmWzaTLiKhe8/Cc7f+97z/v00PeaMZmu1VjS+9wuSGzb2lkUqFxVuEak0mvYcQszPv2Jjjc70WfXfrPrbQDI2rQtrBleQz6LX/4u+K/7E2prn0fS+aSTWbxjWDFK5qXCLSKVSt3FLOv16GjPaPETroyto8MalfPbSb8k8cDDkY+/YlsGqvw2k9+ZX+DpxCO1/9QU169YP+bhStahwi0ilExcXy4DbfkvOz2azI7EHQ3a+wJGnzmfCu2M4mJMb9PEKCwr56t/PEz/mB7Q5toq5nR/mgvveoXp8fNDHElHhFpFKq0HzjnR44HN2X/MWtarHcd3aB9nxeB+2r5rF8dzgFPCty2ey+vF+XLLid2TFNyHr1ilc9KMHiNHRviREvHwvwcwGA08DscArzrnHfOQQkaqhca+h0P1Kts4aS+Lcf3DLnr+z+9GxbG0xjPjet9D+3O7Ex8WWub+sg4dY/uV7JK56i+55y6hDAou7/pGew+7HYvV1LwmtsP+GmVks8DxwObANWGhmE51zq8OdRUSqkNhqNL/sZ9D/dj57/TEa7/6SHptfI3bLq2T8+xzW1O6Da9qTxm170L5jF2rWqc+h3EIOHs3lcNYe8vesp2DXSvI3zKLtoUX0s8PstSTmtfklbYb8kl4NGvi+h1JF+PjX8Hwg3Tm3EcDMxgPXAircIhJ6MbHUanMxve78PQd2ZrBz/vvEbfqS/tlTqJE+CdKBL6DQGTWJo56dvBpbJklsTb6E7PNvoWXvISTrGbaEmY/fuBRga7HL24ALTt3IzO4C7gpcPGxma8OQrSSJQLanfsp6mzNtd7rrS7uupPZg7YtgCdXcJAOnW36rrOOeqZ/T9VXR9rKMHSrR8DdTgTk+mAgZ2fCvstympDbNzelV5O+voo9nkTQ3LUvd0jkX1hNwI0Xva5+4fBvwXLhzlCPvy776KettzrTd6a4v7bqS2oO1LyJ9boBFQZqX0/ZT3v1fnvayjB1t8xLM21Rkjiv6N6O50dxUdJ/6+NjjdqB5scvNAm2RapLHfsp6mzNtd7rrS7uupPZg7Ytg8TU3wdwP5dn/Z9PuQzT8zVSkH/3NaG5Cocx5LFDpw8bM4oB1wA8pKtgLgeHOuVVhDSJSCjNb5JzrHSn9RNvY0UBzE7k0N2cW9ve4nXP5ZnYvMJmir4O9pqItEeblCOsn2saOBpqbyKW5OYOwP+MWERGRs6elfURERKKICreIiEgUUeGWKsvMapjZAjNbbmarzOyRQPurgbZvzOwDM6tTxv4yzGyFmS0zs0WBtiQzm2pm6wM/g3KoKDN7zcwyzWxlsbYSx7Iiz5hZeuA+9QxGhkhXnvmo6D4K1nyY2YjA9uvNbERw9oR/wZqLsuyfUM+FmfUK3Jf0wG0t+HvsDHx9Z00nnXyfAAPqBM5XA+YDfYG6xbb5O/BQGfvLAJJPafvbidsDDwGPByn7pUBPYOWZxgKGAJ8H7m9fYL7vfR+m+S3zfFR0HwVjPoAkYGPgZ/3A+fq+92OkzEVZ90+o5wJYENjWAre9Mtz7U8+4pcpyRQ4HLlYLnJxz7iAU/TcO1AQq8gnOa4GxgfNjgWEV6OtbzrnZwP4yjnUt8Gbg/s4D6plZk2DkiEIh2UdBmo8rgKnOuf3OuQPAVGBw+e5eVAnJ/gnlXASuq+ucm+eKqvibBOlvujxUuKVKM7NYM1sGZFL0hzo/0P46sAvoCDxbxu4cMMXMFlvRkr0AjZ1zOwPndwGNg5f+e0obq6RlhlNCmCNSlGc+QrGPyjtWZZ6nYMxFRfZPsMZKCZw/mwxBo9XxpUpzzhUA3c2sHjDBzLo451Y65263oiPZPQvcDLxehu4ucc5tN7NGwFQzW3PKWM7MwvL9y3COFcE0H5FDcxFEesYtAjjnsoAZFHvpLVDUxwM3lLGP7YGfmcAEio6Et/vES66Bn5nBTX6S0saKtmWGg6Kc8xGKfVTesSrtPAVpLiqyf4I11vbA+bPJEDQq3FJlmVnDwDNtzKwmRceIX2tmbQNtBgwF1pTey7d91TazhBPngUHASmAicOITqSOAj4N9P4opbayJwE8Dn6DtC2QXe9mwUjqL+QjFPirvWJOBQWZWP/Cp50GBtqgWxLmoyP4JyliB6w6aWd/A48NPCe3fdMnC/Wk4nXSKlBPQDVgKfEPRA8mfKPpndg6wItD2DsU+ZX6avlKB5YHTKuD3gfYGwHRgPTANSApS9neBnUAeRe+z3VnaWBR9+vV5YEPgfvX2ve/DMLflmo+K7qNgzQdwB0VHBE8Hbve9HyNtLsqyf0I9F0DvwGPDBuA5AiuQhvOkJU9FRESiiF4qFxERiSIq3CIiIlFEhVtERCSKqHCLiIhEERVuERGRKKKV00SilJkVUPQVlhOGOecyPMURkTDR18FEopSZHXbOlXrIUTOLc87lhzOTiISeXioXqUTMbKSZTTSzLylacAIz+7WZLQwcb/iRYtv+3szWmdlXZvaumT0YaJ9pZr0D55PNLCNwPtbMnijW192B9v6B23xgZmvM7J0Txyg2sz5mNteKjm++wMwSzGy2mXUvluMrMzsvXPtIJNrppXKR6FUzcGQzgE3OuesC53sC3Zxz+81sENCOorWhDZhoZpcCR4AfA90pehxYAiw+w3h3UrQkZB8ziwfmmNmUwHU9gM7ADopWnrvYzBYA7wE3O+cWmlldIAd4FRgJ3G9m7YEazrnlFdoTIlWICrdI9MpxznUvoX2qc+7E8YgHBU5LA5frUFTIE4AJzrmjAGY2sQzjDQK6mdmNgcuJgb5ygQXOuW2BvpYBrYBsYKdzbiGA++445+8DfzSzX1O0rOQbZb3DIqLCLVIZHSl23oC/OudeKr6Bmd1/mtvn893baDVO6esXzrmTDuxgZv2B48WaCjjNY4tz7qiZTQWuBW4Cep0mi4icQu9xi1Ruk4E7zKwOgJmlBI6JPBsYZmY1A0duuqbYbTL4rpjeeEpfPzezaoG+2geO9lSatUATM+sT2D7BzE4U9FeAZ4CFzrkDFbqHIlWMnnGLVGLOuSlm1gn4OvB5scPArc65JWb2HkVHbMoEFha72ZPAv8zsLuDTYu2vUPQS+JLAh8/2AMNOM3aumd0MPBs4bGoOMBA47JxbbGYHgdeDdFdFqgx9HUxEMLM/U1RQnwzTeE2BmUBH51xhOMYUqSz0UrmIhJWZ/RSYT9FxmVW0RcpJz7hFRESiiJ5xi4iIRBEVbhERkSiiwi0iIhJFVLhFRESiiAq3iIhIFPn/2lCTJLqOppQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sr = 44100\n",
    "firlen = 513\n",
    "xticks = [33, 50, 100, 500, 1000, 5000, 10000]\n",
    "\n",
    "f_m, loss_m = g227(sr/2, 2**13)\n",
    "f, loss = g227(sr/2, int(firlen/2))\n",
    "\n",
    "print(np.min(20 * np.log10(loss)))\n",
    "plt.figure(figsize=(8,10))\n",
    "plt.title(\"Frequency response\")\n",
    "plt.xscale('log')\n",
    "plt.grid(True)\n",
    "plt.ylabel('Composite loss')\n",
    "plt.xlabel('Frequency')\n",
    "plt.ylim((0, 70))\n",
    "#plt.xlim((33, 10000))\n",
    "plt.xlim((1, sr/2))\n",
    "plt.xticks(xticks, xticks)\n",
    "plt.plot(f, 20 * np.log10(loss), label=\"length=%d\" % int(firlen/2))\n",
    "plt.plot(f_m, 20 * np.log10(loss_m), label=\"expected\")\n",
    "plt.legend(bbox_to_anchor=(1, 1), loc='upper right', borderaxespad=1, fontsize=11)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FIR\n",
    "\n",
    "IFFT して有限インパルス応答 (FIR) を得る。フィルタにしたいのでロスの逆数をとってゲインにしている。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "513\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fir = np.fft.fftshift(np.fft.ifft(1.0/loss, n=firlen))\n",
    "print(len(fir))\n",
    "x = np.linspace(-firlen/2, firlen/2, firlen)\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.title(\"Impulse response\")\n",
    "plt.grid(True)\n",
    "plt.ylabel(\"Coeffs\")\n",
    "plt.xlabel(\"Samples\")\n",
    "#plt.xlim((-30,30))\n",
    "plt.plot(x, np.real(fir), label=\"real\")\n",
    "plt.plot(x, np.imag(fir), label=\"imag\")\n",
    "plt.legend(bbox_to_anchor=(1, 1), loc='upper right', borderaxespad=1, fontsize=11)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FIR の周波数特性\n",
    "\n",
    "求めた FIR の周波数特性を評価する。freqz を使う。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w, h = signal.freqz(fir, worN=2**13)\n",
    "x = w * sr * 1.0 / (2 * np.pi)\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.title(\"Frequency response of impulse response (complex)\")\n",
    "plt.xscale('log')\n",
    "plt.grid(True)\n",
    "plt.ylabel('Gain')\n",
    "plt.xlabel('Frequency')\n",
    "plt.xlim((1, sr/2))\n",
    "plt.xticks(xticks, xticks)\n",
    "plt.plot(x, 20 * np.log10(abs(h)), 'b', label=\"freqz\")\n",
    "plt.plot(f_m, -20 * np.log10(loss_m), 'r', label=\"expected\")\n",
    "plt.legend(bbox_to_anchor=(1, 1), loc='upper right', borderaxespad=1, fontsize=11)\n",
    "\n",
    "ax2 = plt.twinx()\n",
    "angles = np.unwrap(np.angle(h))\n",
    "ax2.plot(x, angles, 'g')\n",
    "ax2.set_ylabel('Angle (radians)', color='g')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 実数フィルタ\n",
    "\n",
    "実数フィルタにしてみる。意味があるかはよくわからないが興味があったのでやってみた。\n",
    "\n",
    "表示してないが負の周波数と対称になる"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "firr = np.copy(np.real(fir))\n",
    "firr *= 2\n",
    "\n",
    "w, h = signal.freqz(firr, worN=2**13, whole=True)\n",
    "x = w * sr * 1.0 / (2 * np.pi)\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.title(\"Frequency response of impulse response (real)\")\n",
    "plt.xscale('log')\n",
    "plt.grid(True)\n",
    "plt.ylabel('Gain')\n",
    "plt.xlabel('Frequency')\n",
    "#plt.xlim((1, sr/2))\n",
    "#plt.xticks(xticks, xticks)\n",
    "plt.plot(x, 20 * np.log10(abs(h)), 'b', label=\"freqz\")\n",
    "plt.plot(f_m, -20 * np.log10(loss_m), 'r', label=\"expected\")\n",
    "plt.legend(bbox_to_anchor=(1, 1), loc='upper right', borderaxespad=1, fontsize=11)\n",
    "\n",
    "ax2 = plt.twinx()\n",
    "angles = np.unwrap(np.angle(h))\n",
    "ax2.plot(x, angles, 'g')\n",
    "ax2.set_ylabel('Angle (radians)', color='g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-6.180171231999265e-05, -9.363064745945171e-07], [-6.178820397942836e-05, 8.880029113502316e-07], [-6.185158905688193e-05, -9.8419608839212e-07], [-6.181107878306835e-05, 8.392852645665589e-07], [-6.193786502482514e-05, -1.0316718249994602e-06], [-6.187039709126612e-05, 7.901533382799915e-07], [-6.206061673305784e-05, -1.0787336947006548e-06], [-6.196626502863231e-05, 7.40606874390972e-07], [-6.221996657939379e-05, -1.1253816454658483e-06], [-6.209883475840911e-05, 6.906455522378203e-07], [-6.241608318749344e-05, -1.171615562409222e-06], [-6.22683048807548e-05, 6.402689879459387e-07], [-6.26491818688762e-05, -1.2174352670603478e-06], [-6.247492095676518e-05, 5.894767335920336e-07], [-6.291952521182611e-05, -1.2628405164233077e-06], [-6.271897616073131e-05, 5.382682761598997e-07], [-6.322742379999499e-05, -1.3078310018369405e-06], [-6.300081206363113e-05, 4.866430362898774e-07], [-6.35732370640168e-05, -1.3524063476253306e-06], [-6.332081955164627e-05, 4.3460036681814107e-07], [-6.395737427023596e-05, -1.3965661095394978e-06], [-6.367943988399607e-05, 3.821395510942945e-07], [-6.438029565120988e-05, -1.4403097729858221e-06], [-6.407716589519281e-05, 3.2925980109426237e-07], [-6.48425136834161e-05, -1.4836367510154144e-06], [-6.451454334748665e-05, 2.7596025527759235e-07], [-6.534459451836434e-05, -1.5265463821080535e-06], [-6.499217244009476e-05, 2.222399762339932e-07], [-6.588715957406379e-05, -1.5690379276991532e-06], [-6.551070948258319e-05, 1.6809794807203827e-07], [-6.647088729468402e-05, -1.6111105694756762e-06], [-6.607086874070346e-05, 1.135330735471127e-07], [-6.70965150871597e-05, -1.6527634064128893e-06], [-6.667342446389013e-05, 5.854417094286078e-08], [-6.776484144445934e-05, -1.6939954515488993e-06], [-6.731921310470302e-05, 3.1299706549777975e-09], [-6.847672826633088e-05, -1.734805628489859e-06], [-6.800913574151864e-05, -5.2710888506314214e-08], [-6.923310338942046e-05, -1.775192767625172e-06], [-6.874416071706176e-05, 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1.2628405164254583e-06], [-6.247492095676518e-05, -5.894767335920336e-07], [-6.26491818688752e-05, 1.217435267060206e-06], [-6.226830488075273e-05, -6.402689879452354e-07], [-6.241608318749378e-05, 1.1716155624102499e-06], [-6.209883475840671e-05, -6.906455522363054e-07], [-6.221996657939299e-05, 1.125381645466687e-06], [-6.196626502863209e-05, -7.406068743903498e-07], [-6.206061673305709e-05, 1.078733694702359e-06], [-6.187039709126795e-05, -7.901533382780979e-07], [-6.193786502482446e-05, 1.0316718249995955e-06], [-6.181107878306702e-05, -8.392852645668564e-07], [-6.185158905688148e-05, 9.841960883923635e-07], [-6.178820397942791e-05, -8.880029113487167e-07], [-6.180171231999293e-05, 9.363064745960591e-07]]\n"
     ]
    }
   ],
   "source": [
    "print(json.dumps(list(map(lambda x: (x.real, x.imag), fir))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "print(json.dumps(list(map(lambda x: x.real, firr))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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