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Channel Impulse Response from S-params
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"source": "# Channel Impulse Response from Touchstone&reg; S-parameter Data\n\nOriginal author: David Banas <capn.freako@gmail.com> \nOriginal data: January 16, 2023\n\nCopyright &copy; 2023 David Banas; all rights reserved World wide."
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"source": "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Introduction\" data-toc-modified-id=\"Introduction-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Introduction</a></span></li><li><span><a href=\"#Clarification-of-Some-Concepts-in-[Morales-and-Agili]\" data-toc-modified-id=\"Clarification-of-Some-Concepts-in-[Morales-and-Agili]-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Clarification of Some Concepts in [Morales and Agili]</a></span><ul class=\"toc-item\"><li><span><a href=\"#Slide-7\" data-toc-modified-id=\"Slide-7-2.1\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>Slide 7</a></span></li><li><span><a href=\"#Slide-9\" data-toc-modified-id=\"Slide-9-2.2\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>Slide 9</a></span></li><li><span><a href=\"#Slide-10\" data-toc-modified-id=\"Slide-10-2.3\"><span class=\"toc-item-num\">2.3&nbsp;&nbsp;</span>Slide 10</a></span></li><li><span><a href=\"#Slide-11\" data-toc-modified-id=\"Slide-11-2.4\"><span class=\"toc-item-num\">2.4&nbsp;&nbsp;</span>Slide 11</a></span></li><li><span><a href=\"#Slide-12\" data-toc-modified-id=\"Slide-12-2.5\"><span class=\"toc-item-num\">2.5&nbsp;&nbsp;</span>Slide 12</a></span></li></ul></li><li><span><a href=\"#Recreating-Slide-13\" data-toc-modified-id=\"Recreating-Slide-13-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>Recreating Slide 13</a></span><ul class=\"toc-item\"><li><span><a href=\"#System-Vector-Generation\" data-toc-modified-id=\"System-Vector-Generation-3.1\"><span class=\"toc-item-num\">3.1&nbsp;&nbsp;</span>System Vector Generation</a></span></li><li><span><a href=\"#Channel-Frequency-Response-Creation\" data-toc-modified-id=\"Channel-Frequency-Response-Creation-3.2\"><span class=\"toc-item-num\">3.2&nbsp;&nbsp;</span>Channel Frequency Response Creation</a></span></li><li><span><a href=\"#Channel-Impulse-Response\" data-toc-modified-id=\"Channel-Impulse-Response-3.3\"><span class=\"toc-item-num\">3.3&nbsp;&nbsp;</span>Channel Impulse Response</a></span></li></ul></li><li><span><a href=\"#Recreating-Slide-18\" data-toc-modified-id=\"Recreating-Slide-18-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>Recreating Slide 18</a></span><ul class=\"toc-item\"><li><span><a href=\"#Bilinear-Transform-Application\" data-toc-modified-id=\"Bilinear-Transform-Application-4.1\"><span class=\"toc-item-num\">4.1&nbsp;&nbsp;</span>Bilinear Transform Application</a></span></li><li><span><a href=\"#An-Inconvenient-Truth\" data-toc-modified-id=\"An-Inconvenient-Truth-4.2\"><span class=\"toc-item-num\">4.2&nbsp;&nbsp;</span>An Inconvenient Truth</a></span></li><li><span><a href=\"#A-More-Physically-Correct-Model\" data-toc-modified-id=\"A-More-Physically-Correct-Model-4.3\"><span class=\"toc-item-num\">4.3&nbsp;&nbsp;</span>A More Physically Correct Model</a></span></li></ul></li><li><span><a href=\"#Moving-to-Absolute-Frequency\" data-toc-modified-id=\"Moving-to-Absolute-Frequency-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>Moving to Absolute Frequency</a></span><ul class=\"toc-item\"><li><span><a href=\"#Choosing-a-Sampling-Interval\" data-toc-modified-id=\"Choosing-a-Sampling-Interval-5.1\"><span class=\"toc-item-num\">5.1&nbsp;&nbsp;</span>Choosing a Sampling Interval</a></span></li><li><span><a href=\"#Channel-s-Frequency-Response\" data-toc-modified-id=\"Channel-s-Frequency-Response-5.2\"><span class=\"toc-item-num\">5.2&nbsp;&nbsp;</span>Channel s-Frequency Response</a></span></li><li><span><a href=\"#Channel-z-Frequency-Response\" data-toc-modified-id=\"Channel-z-Frequency-Response-5.3\"><span class=\"toc-item-num\">5.3&nbsp;&nbsp;</span>Channel z-Frequency Response</a></span><ul class=\"toc-item\"><li><span><a href=\"#Bilinear-Transform\" data-toc-modified-id=\"Bilinear-Transform-5.3.1\"><span class=\"toc-item-num\">5.3.1&nbsp;&nbsp;</span>Bilinear Transform</a></span></li><li><span><a href=\"#Transformed-Channel-Frequency-Responses\" data-toc-modified-id=\"Transformed-Channel-Frequency-Responses-5.3.2\"><span class=\"toc-item-num\">5.3.2&nbsp;&nbsp;</span>Transformed Channel Frequency Responses</a></span></li></ul></li><li><span><a href=\"#Channel-Impulse-Response-Reconstruction\" data-toc-modified-id=\"Channel-Impulse-Response-Reconstruction-5.4\"><span class=\"toc-item-num\">5.4&nbsp;&nbsp;</span>Channel Impulse Response Reconstruction</a></span><ul class=\"toc-item\"><li><span><a href=\"#Doubling-the-sampling-rate\" data-toc-modified-id=\"Doubling-the-sampling-rate-5.4.1\"><span class=\"toc-item-num\">5.4.1&nbsp;&nbsp;</span>Doubling the sampling rate</a></span></li><li><span><a href=\"#Applying-&quot;Pre-warping&quot;\" data-toc-modified-id=\"Applying-&quot;Pre-warping&quot;-5.4.2\"><span class=\"toc-item-num\">5.4.2&nbsp;&nbsp;</span>Applying \"Pre-warping\"</a></span></li></ul></li></ul></li><li><span><a href=\"#Proper-Use-of-Bilinear-Transformation\" data-toc-modified-id=\"Proper-Use-of-Bilinear-Transformation-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>Proper Use of Bilinear Transformation</a></span><ul class=\"toc-item\"><li><span><a href=\"#Transforming-the-Channel-Specification\" data-toc-modified-id=\"Transforming-the-Channel-Specification-6.1\"><span class=\"toc-item-num\">6.1&nbsp;&nbsp;</span>Transforming the Channel Specification</a></span></li><li><span><a href=\"#Viewing-the-New-Channel-Impulse-Response\" data-toc-modified-id=\"Viewing-the-New-Channel-Impulse-Response-6.2\"><span class=\"toc-item-num\">6.2&nbsp;&nbsp;</span>Viewing the New Channel Impulse Response</a></span></li><li><span><a href=\"#Checking-the-New-Channel-Frequency-Response\" data-toc-modified-id=\"Checking-the-New-Channel-Frequency-Response-6.3\"><span class=\"toc-item-num\">6.3&nbsp;&nbsp;</span>Checking the New Channel Frequency Response</a></span></li></ul></li><li><span><a href=\"#All-Bilinear-All-The-Time?\" data-toc-modified-id=\"All-Bilinear-All-The-Time?-7\"><span class=\"toc-item-num\">7&nbsp;&nbsp;</span>All Bilinear All The Time?</a></span><ul class=\"toc-item\"><li><span><a href=\"#How-about-those-S-parameters?\" data-toc-modified-id=\"How-about-those-S-parameters?-7.1\"><span class=\"toc-item-num\">7.1&nbsp;&nbsp;</span>How about those S-parameters?</a></span></li><li><span><a href=\"#Vector-fitting-differential-insertion-loss\" data-toc-modified-id=\"Vector-fitting-differential-insertion-loss-7.2\"><span class=\"toc-item-num\">7.2&nbsp;&nbsp;</span>Vector fitting differential insertion loss</a></span></li><li><span><a href=\"#Impulse-Response-Reconstruction,-via-Bilinear-Transform\" data-toc-modified-id=\"Impulse-Response-Reconstruction,-via-Bilinear-Transform-7.3\"><span class=\"toc-item-num\">7.3&nbsp;&nbsp;</span>Impulse Response Reconstruction, via <em>Bilinear Transform</em></a></span></li><li><span><a href=\"#Using-Just-the-Vector-Fitting-Output\" data-toc-modified-id=\"Using-Just-the-Vector-Fitting-Output-7.4\"><span class=\"toc-item-num\">7.4&nbsp;&nbsp;</span>Using Just the Vector Fitting Output</a></span></li><li><span><a href=\"#One-Final-Attempt-at-Morales/Agili's-Approach\" data-toc-modified-id=\"One-Final-Attempt-at-Morales/Agili's-Approach-7.5\"><span class=\"toc-item-num\">7.5&nbsp;&nbsp;</span>One Final Attempt at Morales/Agili's Approach</a></span></li></ul></li><li><span><a href=\"#Conclusion\" data-toc-modified-id=\"Conclusion-8\"><span class=\"toc-item-num\">8&nbsp;&nbsp;</span>Conclusion</a></span></li></ul></div>"
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"source": "## Introduction\n\nOn August 25, 2020 I had [an article published in _Signal Integrity Journal_ (SIJ) titled, \"Impulse Response from Insertion Loss\"](https://www.signalintegrityjournal.com/articles/1847-impulse-response-from-insertion-loss)\nIn my article I explained how the raw, positive frequency only, data contained in a _Touchstone_&reg; file needed to be conjugate duplicated and reordered, in order to get a correct impulse response from a typical `ifft()` function.\nI also went on to explain how applying _windowing_ to the data, before calling `ifft()`, can help eliminate the non-causal ringing, which typically occurs as a result of the incomplete data in most Touchstone files.\n\nLater, on May 12, 2022, Professors Morales and Agili, of Penn State Harrisburg's _Center for Signal Integrity_, presented a SIJ webinar titled, \"The Use of DSP Techniques to Analyze S-Parameter Sampled Data.\"\nTheir webinar was partly a rebuttal to my own previous article.\nIn fact, they used some of my figures unaltered, presumably to make it quite clear that they were rebutting my suggestion of the use of windowing techniques to smooth non-causal ringing.\nIn their webinar, they propose, as an alternative to windowing, the use of certain DSP techniques, in particular the [_Bilinear Transform_](https://en.wikipedia.org/wiki/Bilinear_transform), to better transform the raw frequency domain S-parameter data in a Touchstone file into the _discrete_ time domain, for further processing there.\n\nWhile Morales and Agili make an excellent contribution to our collective understanding of the issues involved with bringing band limited frequency domain data into a discrete time signal processing flow for channel modeling and simulation, their work suffers from several ailments:\n\n1. Their work is a bit unclear, incomplete, and in certain sections incorrect, potentially misleading novice readers.\nAdditionally, their final example, regarding accurate temporal location of small reflections in the channel impulse response, is incorrect, as I'll show here. \nI'll try to do two things here:\n\n 1. add clarity, completeness, and necessary corrections to their original arguments, and\n \n 1. test their suggested approach on the actual Touchstone data used in my original article.\n \n1. They present their chosen approach as always better than the windowing approach I'd previously advocated.\nThat is, they imply that their DSP based approach, invoking the _Bilinear Transform_, is _always_ better than a windowing based approach.\nAnd this is simply not true, based on my findings here.\n"
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"source": "## Clarification of Some Concepts in [Morales and Agili]\n\nHere, I'll try to make some corrections, fill in some missing detail, or offer a complimentary perspective on the previous work of Morales and Agili, by slide number.\n\n### Slide 7\n\nTheir statement:\n\n> S-parameter data of analog high-speed channels are based on Laplace transform i.e., in the continuous frequency domain.\n\nis misleading.\nS-parameter data isn't based on any type of transform.\nIt is simply the measured frequency response of a certain path through the structure: insertion, return, NEXT, or FEXT.\nAnd, at least as typically delivered in Touchstone files, S-parameter data is _not_ continuous, but rather _sampled_, or _discrete_.\nThey actually concede this, in their following bullet point, but hedge their concession with, \"This fact does not mean that the data are coming from digital systems.\"\nWell, of course the S-parameter data in Touchstone files is not coming from a digital system.\nIt is coming from measurements made using a VNA; isn't that obvious?\n"
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"source": "### Slide 9\n\n1. I have no idea why they chose to make their drawing and associated equation so unnecessarily complicated, but let's just state the well known (and much simpler) correct equation describing the input/output relationship of a 2-port _linear time invariant_ (LTI) system, for the record:\n\n $$\n S_{2,1}(f) = \\frac{V^-_2(f)}{V^+_1(f)} \\cdot \\sqrt{\\frac{Z_1(f)}{Z_2(f)}}\n $$\n\n or:\n\n $$\n V^-_2(f) = S_{2,1}(f) \\cdot V^+_1(f) \\cdot \\sqrt{\\frac{Z_2(f)}{Z_1(f)}}\n $$\n\n where:\n \n - $V^-_2(f)$ is the (complex) amplitude of the sinusoidal voltage wave exiting from port #2 at frequency, $f$.\n - $V^+_1(f)$ is the (complex) amplitude of the sinusoidal voltage wave entering into port #1 at frequency, $f$.\n - $Z_1(f)$ and $Z_2(f)$ are the (complex) impedances of ports 1 and 2, respectively, at frequency, $f$.\n \n1. Their statement:\n\n > The interaction between the source voltage and the DUT, produces frequency responses of the analog system in the form of S- parameters for each individual sinusoidal frequencies, provided that the system reaches a steady state.\n \n is erroneous, as follows:\n \n 1. \"...interaction between the source..., produces frequency responses...\"\n \n The frequency response of a LTI system is _not_ \"produced\" by anything external to it.\n It is an implicit property of that LTI system.\n \n 1. \"...in the form of S-parameters...\"\n \n S-parameters are not some universal, or fundamental, \"form\" of the frequency response of a LTI system.\n They are a standardized convention for _tabulating_ the frequency response of a LTI system.\n We could easily choose a _different_ convention for tabulating the frequency response.\n If we did then only the _convention_ changes; the frequency response remains exactly the same.\n \n 1. \"...provided that the system reaches a steady state.\"\n \n The frequency response of a LTI system exists _always_!\n It is a fundamental property of such a system.\n It is _not_ predicated upon the system being driven such that its output reaches some steady state.\n "
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"source": "### Slide 10\n\nThey're claiming steady state is reached at a time, $5 \\tau$, as if that time were a property of the system they're simulating, but it's not.\nIt's merely an artifact of their chosen length of signal vector.\nObserve what happens when we try 3 different signal vector lengths for the same simulation:"
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"source": "from matplotlib import pyplot as plt\nimport numpy as np\n\na = 1\nfor tmax in [5, 10, 20]:\n print(f\"tmax = {tmax}:\")\n t = np.linspace(-1,tmax,(tmax+1)*100)\n Vs = np.cos(2*np.pi*t)\n u = np.zeros(t.shape)\n u[np.where(t >= 0)] = 1\n hDUT = np.exp(-a*t) * u\n y = np.convolve(Vs, hDUT, mode=\"same\")\n\n plt.figure(figsize=(10,4))\n plt.subplot(121)\n plt.plot(t,Vs, 'r',label=\"Vs\")\n plt.plot(t,hDUT,'b',label=\"hDUT\")\n plt.xlabel(\"Time (norm.)\")\n plt.ylabel(\"Amplitude\")\n plt.grid()\n plt.legend()\n plt.subplot(122)\n plt.plot(t,y,'b')\n plt.title(\"Convolution of Vs and hDUT\")\n plt.xlabel(\"Time (norm.)\")\n plt.ylabel(\"Amplitude\")\n plt.grid()\n plt.show()",
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"text": "tmax = 5:\n"
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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": "tmax = 10:\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": "tmax = 20:\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "f105fa32",
"cell_type": "markdown",
"source": "Note the decay towards \"steady state\" does not begin at some time, $\\tau$, which is a property of the network being simulated, but simply when the defined input signal test vector expires!"
},
{
"metadata": {},
"id": "5b4157a3",
"cell_type": "markdown",
"source": "### Slide 11\n\nThe whole underlying premise of this slide seems to be that some time dependent decay, or \"steady state\" achievement, is fundamental to the measurement of a network frequency response.\nThat is completely wrong.\nThe measurement of the frequency response of a network involves two very simple steps:\n\n1. Stimulate the input port of the network with a _continuous_ sinusoidal voltage of a particular frequency through a matched impedance.\n\n1. Measure the resultant magnitude and phase of the sinusoidal voltage coming out of the output port of the network into a matched load.\n\nThat's it. There's nothing more.\nThis expressed notion of having to wait until steady state has been achieved before \"launching the next sinusoidal stimulus\" betrays a complete misunderstanding on the part of Morales and Agili about what it means to measure the frequency response of a network."
},
{
"metadata": {},
"id": "65a69667",
"cell_type": "markdown",
"source": "### Slide 12\n\nIt's difficult to divine the intended main point of this slide, but that last equation is suggestive that what Morales and Agili are trying to explain is the classic outcome of sampling theory: that the spectrum of the sampled signal repeats at intervals of: $f_r = \\frac{1}{t_s}$, where $t_s$ is the sampling interval.\n\nThe problem is we're going in the opposite direction in this work.\nThat is, we're _starting_ with sampled _frequency_ domain data, namely the tabulated S-parameters in the Touchstone file.\nThat's okay, though, because this relationship is bidirectional (perhaps, what they're referring to in the slide title?).\nThat is, sampling in the frequency domain with sampling interval: $f_s$, will lead to repetition of the reconstructed time domain signal, at intervals: $t_r = \\frac{1}{2 \\pi f_s}$.\n\nLet's assume that that's what they meant to say and see where it leads us...\n\nA very typical sampling interval w/ Touchstone data meant for high speed channel characterization is 10 MHz.\nAt that frequency sampling interval, what is our time domain repetition interval?\n$t_r = \\frac{1}{2 \\pi \\cdot 10MHz}$ = 16 ns.\nI'm pretty sure we're going to loose interest in our reconstructed channel impulse response after a few hundred picoseconds.\nSo, we appear to have a couple orders of magnitude of \"I don't care\" margin.\n"
},
{
"metadata": {},
"id": "952e298a",
"cell_type": "markdown",
"source": "## Recreating Slide 13\n\nLet's make sure we can recreate the plot on their slide 13.\nThey present their two test channels as:\n\n$$\n\\begin{eqnarray}\nH(s) &=& \\frac{0.98}{s + 1} + \\frac{0.04 e^{-6s}}{s + 2} \\qquad \\text{(causal)} \\\\\nH_1(s) &=& \\frac{0.98}{s + 1} + \\frac{0.04 e^{+6s}}{s + 2} \\qquad \\text{(non-causal)}\n\\end{eqnarray}\n$$\n\nand plot the `IFFT()` of those frequency domain specifications.\nLet's do the same and see if our plot matches theirs."
},
{
"metadata": {},
"id": "65f8ab99",
"cell_type": "markdown",
"source": "### System Vector Generation\n\nIt's very easy, when doing this work, to end up with time and frequency vectors that are out of whack with each other.\nSo, we'll encapsulate the generation of our \"system\" vectors in a function.\nThat way, if we make a mistake in the coding of these vectors then it will only need to be repaired once."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:21.246191Z",
"start_time": "2023-01-30T01:18:21.065124Z"
},
"trusted": true
},
"id": "c5806fa5",
"cell_type": "code",
"source": "def make_vecs_norm(Npts):\n \"\"\"Construct system vectors, using normalized time/frequency.\n \n Args:\n Npts (int): # of points in returned vectors.\n (Should be integral power of 2.)\n \"\"\"\n t = np.arange(Npts)\n f0 = 1/Npts # Fundamental frequency\n fp = [n * f0 for n in range(Npts//2)] # Starts w/ \"0\" and doesn't include Nyquist.\n fn = list(map(lambda x: -x, fp[1:])) # Construct the negative frequencies,\n fn.reverse() # in reverse order,\n f = np.array(fp + [f0*Npts/2] + fn) # as discussed in my original article.\n fp = np.array(fp) # For plotting utility.\n w = 2*np.pi*f\n s = 1j*w\n z = np.exp(s)\n return (t, f, w, s, z, fp)\n\nNpts = 8192 # Nice compromise between computation time and plot smoothness.\nt, f, w, s, z, fp = make_vecs_norm(Npts)\n\n# Plot things, as a sanity check on our constructions.\nplt.figure(figsize=(10,4))\nplt.plot(f)\nplt.title(\"Values in System Frequency Vector (norm.)\")\nplt.show()\n\nplt.figure(figsize=(10,4))\nplt.subplot(121)\nplt.plot(z.real)\nplt.title(\"Z - Real Part\")\nplt.subplot(122)\nplt.plot(z.imag)\nplt.title(\"Z - Imaginary Part\")\nplt.show()\n",
"execution_count": 2,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "ff213073",
"cell_type": "markdown",
"source": "### Channel Frequency Response Creation\n\nEncapsulating coding logic in functions is such a good practice, in general, that we'll use it again to generate their original channel frequency response specifications."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:21.386076Z",
"start_time": "2023-01-30T01:18:21.261922Z"
},
"trusted": true
},
"id": "665e1902",
"cell_type": "code",
"source": "def calc_chnl_H_orig(s, causal=True):\n \"\"\"Calculate their original channel frequency response\n for a particular s-vector.\n \n Args:\n s ([complex(float)]): s-values for which to calculate response.\n \n KeywordArgs:\n causal (bool): Set to `False` for non-causal response.\n Default: True.\n \n Returns:\n [complex(float)]: The (complex) channel frequency response\n for the given `s` values.\n \"\"\"\n if causal:\n a = -1\n else:\n a = 1\n return 0.98/(s+1) + 0.04*np.exp(a*6*s)/(s+2)\n\nH1 = calc_chnl_H_orig(s)\nH2 = calc_chnl_H_orig(s, causal=False)\n\nplt.figure(figsize=(10,4))\nplt.subplot(121)\nplt.plot(fp, 20*np.log10(np.abs(H1[:len(fp)])), label=\"causal\")\nplt.plot(fp, 20*np.log10(np.abs(H2[:len(fp)])), label=\"non-causal\")\nplt.title(\"Frequency Response - Magnitude\")\nplt.xlabel(\"Frequency (norm.)\")\nplt.ylabel(\"Mag.(H) (dB)\")\nplt.grid()\nplt.legend()\n\nplt.subplot(122)\nplt.plot(fp, np.unwrap(np.angle(H1[:len(fp)]))*180/np.pi, label=\"causal\")\nplt.plot(fp, np.unwrap(np.angle(H2[:len(fp)]))*180/np.pi, label=\"non-causal\")\nplt.title(\"Frequency Response - Phase\")\nplt.xlabel(\"Frequency (norm.)\")\nplt.ylabel(\"Phase(H) (deg.)\")\nplt.grid()\nplt.legend()\n\nplt.show()",
"execution_count": 3,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "83db3cbd",
"cell_type": "markdown",
"source": "Both plots above look correct.\nOur main pole is at: $\\omega = 1$, which corresponds to: $f = \\frac{1}{2 \\pi} \\approx 0.16$.\nAnd that is about where we see both the -3dB magnitude and 45 degree phase response."
},
{
"metadata": {},
"id": "dc27749b",
"cell_type": "markdown",
"source": "### Channel Impulse Response\n\nNow, let's finally take the `IFFT()` of our channel frequency responses, as they prescribe, and see if things match. \nWe'll repeat the procedure for several different values for `Npts`, to assess the effect of that parameter on our output."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:21.972202Z",
"start_time": "2023-01-30T01:18:21.641984Z"
},
"scrolled": false,
"trusted": true
},
"id": "a96c8584",
"cell_type": "code",
"source": "for Npts in [8, 16, 32, 64, 128]:\n print(f\"Npts = {Npts}\")\n t, f, w, s, z, fp = make_vecs_norm(Npts)\n H1 = calc_chnl_H_orig(s)\n H2 = calc_chnl_H_orig(s, causal=False)\n h1 = np.fft.ifft(H1)\n h2 = np.fft.ifft(H2)\n t_shift = t - max(t)//2\n plt.figure(figsize=(10,4))\n plt.plot(t_shift, np.fft.fftshift(h1), label=\"causal\")\n plt.plot(t_shift, np.fft.fftshift(h2), label=\"non-causal\")\n plt.title(\"Original Channel Impulse Responses\")\n plt.axis(xmin=-50, xmax=50)\n plt.legend()\n plt.show()\n",
"execution_count": 4,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Npts = 8\n"
},
{
"name": "stderr",
"output_type": "stream",
"text": "/Users/dbanas/.venv/pybert-tst/lib/python3.9/site-packages/matplotlib/cbook/__init__.py:1369: ComplexWarning: Casting complex values to real discards the imaginary part\n return np.asarray(x, float)\n"
},
{
"data": {
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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": "Npts = 16\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": "Npts = 32\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": "Npts = 64\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": "Npts = 128\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "caab0054",
"cell_type": "markdown",
"source": "We observe the following:\n\n1. Our choice of `Npts` appears to have no effect on the final output, other than limiting the extent of our view.\n\n1. The differences between the \"causal\" and \"non-causal\" channel impulse responses in our plots, above, are much less severe than what they show on their slide 13.\n\nWe may need to ask Professors Morales and Agili to share their code with us, so we can see where we are diverging from their approach."
},
{
"metadata": {},
"id": "62d02cfe",
"cell_type": "markdown",
"source": "## Recreating Slide 18\n\nThe plot first shown on slide 18 is their coup de grace.\nIt is intended to clearly demonstrate the superiority of their _Bilinear Transform_ based approach.\nLet's dig into it a little bit and see what we can learn..."
},
{
"metadata": {},
"id": "14ff5f8d",
"cell_type": "markdown",
"source": "### Bilinear Transform Application\n\nOn their slide 18, Professors Morales and Agili advise us to apply the _Bilinear Transform_, as follows:\n\n1. Modify our s-vector according to:\n\n $$\n s = \\frac{2}{T_s} \\frac{z-1}{z+1}\n $$\n \n1. Recalculate our channel frequency responses, using this new s-vector.\n\n1. Take the `IFFT()` of those new frequency responses, to get more accurate channel impulse responses.\n\n(Note that the flow above is reinforced by the flowchart on their slide 20.)\n\nLet's try this..."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:22.289224Z",
"start_time": "2023-01-30T01:18:22.220201Z"
},
"trusted": true
},
"id": "d0ef29ff",
"cell_type": "code",
"source": "Npts = 8192 # Just to make sure that we don't miss anything, due to insufficient resolution.\nprint(f\"Npts = {Npts}\")\nt, f, w, s, z, fp = make_vecs_norm(Npts)\nsz = 2 * (z-1)/(z+1) # `Ts` = 1 when working in normalized time.\n\nH1 = calc_chnl_H_orig(sz)\nH2 = calc_chnl_H_orig(sz, causal=False)\nh1 = np.fft.ifft(H1)\nh2 = np.fft.ifft(H2)\nt_shift = t - max(t)//2\n\nplt.figure(figsize=(10,4))\nplt.plot(t_shift, np.fft.fftshift(h1), label=\"causal\")\nplt.plot(t_shift, np.fft.fftshift(h2), label=\"non-causal\")\nplt.title(\"Original Channel Impulse Responses\")\nplt.axis(xmin=-50, xmax=50)\nplt.legend()\nplt.show()\n",
"execution_count": 5,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Npts = 8192\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "c908a87d",
"cell_type": "markdown",
"source": "Okay, our plot isn't an exact match to theirs on slide 18, but the general features are correct:\nthe reflective bump occurs _before_ time zero in the non-causal case and _after_ time zero in the causal case.\nAnd I think that was the main point of their plot."
},
{
"metadata": {},
"id": "1fe2cda4",
"cell_type": "markdown",
"source": "### An Inconvenient Truth\n\nDespite the reassuring nature of the plot above, it is wrong.\nThe method prescribed for application of the _Bilinear Transform_ (BT) by professors Morales and Agili is incorrect.\nThe reason is simple: the `ifft()` function has very explicit expectations, regarding the frequencies that are associated with each element of its input vector.\n(This was the main point of my original article.)\nAnd we have violated those expectations by \"warping\" the frequency values, via the BT.\nThe fact that the plot above \"looks\" correct is merely coincidental.\nTo support this claim, I'll do two things:\n\n1. I'll send an obviously incorrect vector into the `ifft()` function and show that it, also, produces output that \"looks\" correct.\n\n1. Later, when we've moved into absolute frequency space, I'll show that application of the BT as they prescribe yields clearly nonsensical results.\n\nFor now, here is item 1:\nThe most common mistake made by novice engineers when using the `ifft()` function is to leave out the conjugate response elements, corresponding to the negative frequencies, from the input vector.\nLet's make that mistake and see what happens..."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:22.676997Z",
"start_time": "2023-01-30T01:18:22.600315Z"
},
"trusted": true
},
"id": "363936b6",
"cell_type": "code",
"source": "t, f, w, s, z, fp = make_vecs_norm(Npts)\nH1 = calc_chnl_H_orig(s)\nH2 = calc_chnl_H_orig(s, causal=False)\nh1 = np.fft.ifft(H1[:Npts//2]) # Omitting the conjugate response elements.\nh2 = np.fft.ifft(H2[:Npts//2])\nplt.figure(figsize=(10,4))\nplt.plot(np.fft.fftshift(h1), label=\"causal\")\nplt.plot(np.fft.fftshift(h2), label=\"non-causal\")\nplt.title(\"Original Channel Impulse Responses\")\nplt.axis(xmin=2020, xmax=2080)\nplt.legend()\nplt.show()\n",
"execution_count": 6,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
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"source": "Note that, again, we see correctly positioned reflective \"bumps\" for both the causal and non-causal case.\nAnd, were our mistake not so obvious, we might conclude that our analysis was correct.\n\n<div class=\"alert-info\">\n It is actually quite obvious that their slide 18 plot is incorrect.\n Note that their channel has a bandwidth of 1, and a round-trip delay of 6.\n That means that the distance from the main pulse to the reflected pulse should be approximately 6x the <em>full width at half maximum</em> (FWHM) of the main pulse.\n This is clearly not the case in their plot on slide 18.\n</div>\n"
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"source": "### A More Physically Correct Model\n\nAstute readers probably noticed that the channel specifications offered by Professors Morales and Agili are a bit suspect.\nAnd they may be wondering now how making those specifications more physically correct might affect the above analysis.\nSo, before moving on, let's address this.\n\nLet's pause a moment to consider the nature of their channel specifications:\n\n$$\n\\begin{eqnarray}\nH(s) &=& \\frac{0.98}{s + 1} + \\frac{0.04 e^{-6s}}{s + 2} \\qquad \\text{(causal)} \\\\\nH_1(s) &=& \\frac{0.98}{s + 1} + \\frac{0.04 e^{+6s}}{s + 2} \\qquad \\text{(non-causal)}\n\\end{eqnarray}\n$$\n\nWhat does such a channel look like physically?\n\nWell, the first term is easy.\nIt describes a single pole low pass filter with cutoff frequency: 1 rad./sec., and a _transmission coefficient_, $T$, of 98%.\n\nThe second term, however, is a bit odd.\nIt, also, represents a single pole low pass filter, but its cutoff frequency is twice that of the first term. \n(That's why a \"0.04\" was required, as opposed to the more intuitively suggestive \"0.02\".) \nWhy? I suspect that there is no valid _physical_ reason.\n\nThe exponential term in the numerator: $e^{-6s}$, describes a phase _delay_\n($e^{+6s}$ describes an _advance_, which is what makes the second case non-causal.),\nwhich is _linearly proportional_ to frequency. \nIn the time domain that is just a simple _propagation delay_. \nSo, the second term represents a _reflection_ at the (imperfectly matched) Rx input termination.\n\nThat reflection travels back through the channel described by the first term, gets completely re-reflected (with amplitude inversion) by the (presumably, perfect zero Ohm) driver, and travels through the same channel one last time, before being tallied by the sum. \n(Negative reflections at _both_ the Rx and Tx are why the \"0.04\" is positive.) \n(Note that the \"6\" represents the _round trip_ delay.\nSo, the channel itself has a propagation delay of 3, in normalized time units.)\n\nSo, if that second term represents a reflection making a round trip through the same channel described by the first term then why does it have a cutoff frequency twice that of the first term? \nI don't know, but strongly suspect that a more physically correct form for the second term in the sum is:\n\n$$\n\\frac{0.02 e^{-6s}}{(s + 1)^2}\n$$\n\nWhat happens if we repeat their prescribed application of the _Bilinear Transform_ using this (presumably) more physically correct expression?"
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"id": "7e6097e4",
"cell_type": "code",
"source": "def calc_chnl_H_mod(s, causal=True):\n \"\"\"Calculate modified channel frequency response\n for a particular s-vector.\n \n Args:\n s ([complex(float)]): s-values for which to calculate response.\n \n KeywordArgs:\n causal (bool): Set to `False` for non-causal response.\n Default: True.\n \n Returns:\n [complex(float)]: The (complex) channel frequency response\n for the given `s` values.\n \"\"\"\n if causal:\n a = -1\n else:\n a = 1\n return 0.98/(s+1) + 0.02*np.exp(a*6*s)/(s+1)**2\n\nNpts = 8192\nt, f, w, s, z, fp = make_vecs_norm(Npts)\n\nH1 = calc_chnl_H_mod(s)\nH2 = calc_chnl_H_mod(s, causal=False)\n\nplt.figure(figsize=(10,4))\nplt.subplot(121)\nplt.plot(fp, 20*np.log10(np.abs(H1[:len(fp)])), label=\"causal\")\nplt.plot(fp, 20*np.log10(np.abs(H2[:len(fp)])), label=\"non-causal\")\nplt.title(\"Frequency Response - Magnitude\")\nplt.xlabel(\"Frequency (norm.)\")\nplt.ylabel(\"Mag.(H) (dB)\")\nplt.grid()\nplt.legend()\n\nplt.subplot(122)\nplt.plot(fp, np.unwrap(np.angle(H1[:len(fp)]))*180/np.pi, label=\"causal\")\nplt.plot(fp, np.unwrap(np.angle(H2[:len(fp)]))*180/np.pi, label=\"non-causal\")\nplt.title(\"Frequency Response - Phase\")\nplt.xlabel(\"Frequency (norm.)\")\nplt.ylabel(\"Phase(H) (deg.)\")\nplt.grid()\nplt.legend()\n\nplt.show()",
"execution_count": 7,
"outputs": [
{
"data": {
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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "31d9f407",
"cell_type": "markdown",
"source": "The plots above look very similar to those of Sec. 3.2, but with much less \"wiggling\".\n\nContinuing on..."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:23.255042Z",
"start_time": "2023-01-30T01:18:23.185706Z"
},
"trusted": true
},
"id": "5a54e311",
"cell_type": "code",
"source": "h1 = np.fft.ifft(H1)\nh2 = np.fft.ifft(H2)\nt_shift = t - max(t)//2\nplt.figure(figsize=(10,4))\nplt.plot(t_shift, np.fft.fftshift(h1), label=\"causal\")\nplt.plot(t_shift, np.fft.fftshift(h2), label=\"non-causal\")\nplt.title(\"Modified Channel Impulse Responses\")\nplt.axis(xmin=-50, xmax=50)\nplt.legend()\nplt.show()\n",
"execution_count": 8,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "a232d022",
"cell_type": "markdown",
"source": "Okay, that looks about the same as the original channel impulse response of Sec. 3.3.\n\nNow, what happens when we apply the _Bilinear Transform_, according to their prescription?"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:23.446389Z",
"start_time": "2023-01-30T01:18:23.377610Z"
},
"trusted": true
},
"id": "6c20db76",
"cell_type": "code",
"source": "sz = 2 * (z-1)/(z+1) # `Ts` = 1 when working in normalized time.\n\nH1 = calc_chnl_H_mod(sz)\nH2 = calc_chnl_H_mod(sz, causal=False)\nh1 = np.fft.ifft(H1)\nh2 = np.fft.ifft(H2)\n\nplt.figure(figsize=(10,4))\nplt.plot(t_shift, np.fft.fftshift(h1), label=\"causal\")\nplt.plot(t_shift, np.fft.fftshift(h2), label=\"non-causal\")\nplt.title(\"Modified Channel Impulse Responses - Bilinear Transform\")\nplt.axis(xmin=-50, xmax=50)\nplt.legend()\nplt.show()\n",
"execution_count": 9,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "b15dbd12",
"cell_type": "markdown",
"source": "We see that, aside from dampening some ringing, we haven't materially changed the result much."
},
{
"metadata": {},
"id": "804fab30",
"cell_type": "markdown",
"source": "## Moving to Absolute Frequency\n\nLet me now make good on my previous promise, moving into the absolute frequency space and showing you that, in that space, we do _not_ get the correct result when we follow Professors Morales and Agili's prescription for applying the _Bilinear Transform_."
},
{
"metadata": {},
"id": "6de4fa4e",
"cell_type": "markdown",
"source": "### Choosing a Sampling Interval\n\nIn order to create our $z$ vector, we have to choose a sampling interval, $T$, as: $z = e^{sT}$.\nHow to choose $T$?\nWhat criteria are available to guide our choice here?\nWell, we know that we have valid frequency domain data in the Touchstone files only out to 35 GHz (because that's where we see the plots suddenly drop to zero).\nAnd we know that, in order to prevent aliasing below 35 GHz, we'll have to be sampling at, at least, 70 GHz.\nSo, let's use 100 GHz as our sampling rate.\nThat yields: $T = \\frac{1}{100 GHz} = 10 ps$.\n"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:24.110923Z",
"start_time": "2023-01-30T01:18:23.935639Z"
},
"trusted": true
},
"id": "cdd17215",
"cell_type": "code",
"source": "def make_vecs(Ts, Npts):\n \"\"\"Construct system vectors.\n \n Args:\n Ts (float): sampling interval (s). \n Npts (int): # of points in returned vectors.\n (Should be integral power of 2.)\n \"\"\"\n t = np.array([n * Ts for n in range(Npts)])\n f0 = 1/(Ts * Npts) # Fundamental frequency\n fp = [n * f0 for n in range(Npts//2)] # Starts w/ \"0\" and doesn't include Nyquist.\n fn = list(map(lambda x: -x, fp[1:])) # Construct the negative frequencies,\n fn.reverse() # in reverse order,\n f = np.array(fp + [f0*Npts/2] + fn) # as discussed in my original article.\n fp = np.array(fp) # For plotting utility.\n w = 2*np.pi*f\n s = 1j*w\n z = np.exp(s * Ts)\n return (t, f, w, s, z, fp)\n\nTs = 10e-12 # As per discussion above.\nNpts = 8192 # Nice compromise between computation time and plot smoothness.\nt, f, w, s, z, fp = make_vecs(Ts, Npts)\n\n# Plot things, as a sanity check on our constructions.\nplt.figure(figsize=(10,4))\nplt.plot(f/1e9)\nplt.title(\"Values in System Frequency Vector (GHz)\")\nplt.show()\n\nplt.figure(figsize=(10,4))\nplt.subplot(121)\nplt.plot(z.real)\nplt.title(\"Z - Real Part\")\nplt.subplot(122)\nplt.plot(z.imag)\nplt.title(\"Z - Imaginary Part\")\nplt.show()\n",
"execution_count": 10,
"outputs": [
{
"data": {
"image/png": 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Hx+6xm5sbgoKC7Gq+vr7QarWt3vj6+vpe188CALRaLSZOnHjF7W2dUnfy5EkcOnSoVT8tWv7sf/jhB4SFhbV68zto0KDr6q0t17vuWvx0rQDN6+Xyn8/p06cxffr0qz6vUqlESkoKVqxYgdraWnh4eGDVqlVwc3OTr/u6mpiYGAwZMgRGo1G+W1tqaioCAwPlkHny5EkIITBgwIA2j9Fyitnp06cB4KqndF7NDz/8gPDw8FZ3Rms5TfOHH36wq1/PaZWXEz+5rqjleaqrq1vt+/7776OqqgqFhYVXDJNjxoxBYGBgq/qVbs7Q1NSEmTNnwmq1Yv369W3+PdPS4/WERiLqWAxBRHRd4uLiEBUVBaPRiOeff77NaxL+/Oc/48UXX8T8+fPxxz/+Ef7+/lAqlXjyySdbnUf/UwqFotWbGAB2QQpoDlrBwcF2vxm/XMsbZIVCgY8//hjff/89PvnkE+zYsQPz58/H//7v/+L7779v87fD13L5NRmXa6vvK1Gr1UhISEBCQgIGDhyIefPmYe3atXj55ZcBAElJSQgJCcFHH32EMWPG4KOPPkJoaKhdYAgODkZmZiZ27NiBbdu2Ydu2bVi5ciUeeughfPjhh1d9/pY/h//+979tfi6Pi4v9PwtXes3t8bO4mrbuBGez2XD77bfj2WefbfN7Bg4ceMPP097rrkV7/nweeugh/OUvf8HGjRthMBiQmpqKKVOmtLoV9JU88MADeO6557B//35otVrs2bMHCxYskP+sbTYbFAoFtm3b1mbfP+e/lfZwI3cDDAgIaBXAfX19ERYWhpycnFb7t1wj1J6fo/XMM89g7969+Oyzz6DVatvcp6XHtsIVEXUuhiAium4pKSl48cUXcejQIaSmpmLAgAFISEiQt3/88ce47bbb8O9//9vu+8rLy6/5j36vXr3aPJXqp78d7tevHz777DPccsst1/Um6eabb8bNN9+MV155BampqUhJSUFaWtoVPzulM8XHxwMAzp8/L9dUKhVmz56NDz74AMuXL8fGjRvxyCOPtHpzqlarcffdd+Puu++GzWbDb3/7W7z//vt48cUX0b9//yv+prlfv34AmoPU1SYxXVG/fv1QXV19zb5bbodcXV1t9wb++PHjrfbtqHV3Pfr169fmG/SfGjJkCEaMGIFVq1ZBq9XCbDbf0IfsGgwGLFmyBKmpqejduzesVqvdLy/69esHIQQiIyOvGiRb1k5OTs5V/wyutPZ69+6Nzz77DFVVVXbToGPHjsnbf66oqCicPXu2VX3y5Mn417/+BZPJBL1e/7OPfy1paWl488038eabb2Ls2LFX3O/s2bMIDAy84jSTiDoPrwkiouvW8sbppZdeQmZmZqs7U6lUqla/6V67di3y8vKueex+/frh2LFjKC4ulmtZWVn49ttv7fZrOd3kj3/8Y6tjNDU1oby8HEDzb1x/2svw4cMBAPX19dfspz3t2bOnzQnAp59+CqD1aVoPPvggysrKsGDBAlRXV7c6XefChQt2j5VKJWJiYgD8+Nparh9q+Xm0SEpKgo+PD/785z+3ea3U5T//rmbmzJnYu3cvduzY0WpbeXk5mpqaAAB33XUXmpqasGLFCnm71WptMzi097q7EdOnT5dPjfypn66XBx98EDt37sSbb76JgIAA3Hnnndf9PJIkYfTo0Vi9ejU++ugjREZGYtSoUfL2adOmQaVSYenSpa2eVwghr7fY2FhERkbizTffbPV6L/++K629u+66C1arFX//+9/t6m+88QYUCsUNvaafGjlyJHJyclr9t/3ss8/Cw8MD8+fPR2FhYavva4/JZU5ODn71q1/hgQceaPN25pc7cOAARo4c+Yufk4h+OU6CiOi6tbx5avmci5+GoClTpuB//ud/MG/ePIwaNQrZ2dlYtWoV+vbte81jz58/H6+//jqSkpLw8MMPo6ioCO+99x6io6PlC5yB5mt9FixYgGXLliEzMxOTJk2Cq6srTp48ibVr1+Ktt97CjBkz8OGHH+Ldd9/Ffffdh379+qGqqgr//Oc/4ePjg7vuuqt9fzDX8Nhjj6G2thb33XcfoqKi0NDQgO+++w6rV69Gnz59MG/ePLv9R4wYgSFDhmDt2rUYPHgwYmNj7bb/6le/QmlpKcaPHw+tVosffvgBb7/9NoYPHy5fXzF8+HCoVCosX74cFRUV0Gg0GD9+PIKDg7FixQo8+OCDiI2NRXJyMoKCgmA2m7F161bccsstrd6kdhXPPPMMNm/ejClTpsi3m66pqUF2djY+/vhjnDt3DoGBgbj77rtxyy234LnnnsO5c+dw0003Yf369aioqGh1zPZedzf6ej7++GPcf//9mD9/PuLi4lBaWorNmzfjvffes/vMqNmzZ+PZZ5/Fhg0b8Jvf/KbVraCv5YEHHsCjjz6K/Px8vPDCC3bb+vXrhz/96U9YsmQJzp07h3vvvRfe3t44e/YsNmzYgEcffRS/+93voFQqsWLFCtx9990YPnw45s2bh7CwMBw7dgyHDx+Ww2lcXBwA4PHHH0dSUpJ8Y5W7774bt912G1544QWcO3cOw4YNw86dO7Fp0yY8+eST8qTp57jnnnvwxz/+EV9++SUmTZok1wcMGIDU1FQYDAYMGjQIKSkpGDZsGIQQOHv2LFJTU6FUKq94+tr1aPnvt+X01cuNGjVK/vuvqKgIhw4dwsKFC3/2cxFRO+rUe9ERUbf3zjvvCABCr9e32lZXVyeefvppERYWJtzd3cUtt9wi9u7d2+o2xG3dIlsIIT766CPRt29foVarxfDhw8WOHTta3aq4xT/+8Q8RFxcn3N3dhbe3txg6dKh49tlnRX5+vhBCiIMHDwqDwSAkSRIajUYEBweLKVOmiP3791/zNV7pFtlr16612+9Kr+Ontm3bJubPny+ioqKEl5eXUKvVon///uKxxx674q1yX3vttVa3p27x8ccfi0mTJong4GChVquFJEliwYIF4vz583b7/fOf/xR9+/YVKpWq1e2y9+zZI5KSkoSvr69wc3MT/fr1E3PnzrX7+cyZM0d4enq2+fOJjo5uVe/du/dVbx3cAoBYuHDhFbdf7ThVVVViyZIlon///kKtVovAwEAxatQo8de//tXuluMXLlwQDz74oPDx8RG+vr7iwQcfFBkZGR2+7q7Wf1u3475w4YJYtGiRiIiIEGq1Wmi1WjFnzhxRUlLS6vvvuusuAUB89913V/zZXUlpaanQaDQCgDhy5Eib+6xbt07ceuutwtPTU3h6eoqoqCixcOFCu9trCyHEN998I26//Xbh7e0tPD09RUxMjHj77bfl7U1NTeKxxx4TQUFBQqFQ2N0uu6qqSjz11FMiPDxcuLq6igEDBoi//OUvdrfYFuLaa6QtMTEx4uGHH25z26lTp8RvfvMb0b9/f+Hm5ibc3d1FVFSU+PWvfy0yMzPt9m25RXZxcXGbx/rpn2/LLdHb+rp8ra1YsUJ4eHiIysrKG3pdRNQxFEK001WsRETUbt566y089dRTOHfuXJt3GqMbd+7cOURGRmLlypWYO3euo9u5Yffddx+ys7Nx6tQpR7fSJf33v//FwoULYTabW93CuysYMWIExo0b1+pDYYnIMXhNEBFRFyOEwL///W+MHTuWAYgANN88Y+vWrXa3Sid7KSkpkCSpzc/8cbTt27fj5MmTWLJkiaNbIaJLeE0QEVEXUVNTg82bN2PPnj3Izs6Wr70i53X27Fl8++23+Ne//gVXV1csWLDA0S11WUql8rrutucId9xxR5ufV0REjsMQRETURRQXF2P27Nnw8/PD888/j6lTpzq6JXKwL7/8EvPmzYMkSfjwww/b/GwnIiK6cbwmiIiIiIiInAqvCSIiIiIiIqfCEERERERERE6l218TZLPZkJ+fD29vbygUCke3Q0REREREDiKEQFVVFcLDw6FUXnne0+1DUH5+PnQ6naPbICIiIiKiLsJisUCr1V5xe7cPQd7e3gCaX6iPj4+DuyEiIiIiIkeprKyETqeTM8KVdPsQ1HIKnI+PD0MQERERERFd8zIZ3hiBiIiIiIicCkMQERERERE5FYYgIiIiIiJyKgxBRERERETkVBiCiIiIiIjIqTAEERERERGRU2EIIiIiIiIip8IQREREREREToUhiIiIiIiInApDEBERERERORWGICIi6tbyyy/izc9OYMF/9yOv/KKj2yEiom7AxdENEBER3agmqw1fHC+G0WTGnuNFsInm+qh+gZgzqo9DeyMioq6PIYiIiLqN3LJarEm3YPV+Cwor6+W6m6sSdY02WFvSEBER0VUwBBERUZfWaLVh99EipKWb8eWJYohLOcffU43psRFI1kt487OT+CQr37GNEhFRt8EQREREXZKltBZp6Was2Z+L4qofpz6j+gXAoJcwKToEGheVAzskIqLuiiGIiIi6jIYmGz47WgijyYyvT5bI9UAvNWbE6ZCcoEOfQE8HdkhERD0BQxARETncuZIaGNPNWHcgFyXVDXJ99IBAzNZLmDA4BGoX3tCUiIjaB0MQERE5RH2TFTsPN099vjt9Qa4HeWswM16LWfESpAAPB3ZIREQ9FUMQERF1qtPF1UgzmbHuYB5Ka5qnPgoFMHZgEAx6CeOjguGq4tSHiIg6DkMQERF1uLpGK3YcLkDqPjP2nS2V66E+bpgZr8XMBB20vTj1ISKizsEQREREHeZkYRWMJgvWZ+SivLYRAKBUALcNCoZBL2HcoCC4cOpDRESdjCGIiIjaVV2jFVsPnYfRZMb+H8rkerivG2YlSJiZoEWYr7sDOyQiImfHEERERO3iWEEljPvM2JCRh8q6JgCASqnAhKjmqc+YgUFQKRUO7pKIiIghiIiIfoHahiZsuTT1yTCXy/UIP3cY9DrcH69DiI+b4xokIiJqA0MQERHdsMP5FTCazNiUkY+q+uapj4tSgdtvCoFBL+HW/oFQOmDqIzr9GYmIqDtiCCIioutSU9+ET7LyYTSZkZVbIdclfw8k63WYEadFsDenPkRE1PUxBBER0VVl51Yg1WTG5sw81DRYAQCuKgUmRYditl7CyL4BDpn6XI5XGhER0Y1gCCIiolaq6hqxKTMfaelm5ORVyvXIQE8Y9DpMi9Ui0EvjwA6JiIh+PoYgIiICAAghkGkpR5rJgs1Z+bjY2Dz1UauUuGNIKAx6CTf39YdCwbkLERF1bwxBREROruJiIzZl5iF1nxnHCqrker8gTxj0EqbFauHvqXZgh0RERO2LIYiIyAkJIXDQXIbUfRZszc5HXaMNAKB2UWLK0DAYEiXE9+7FqQ8REfVIDEFERE6kvLYBGzLyYDSZcaKwWq4PDPGCQS/hvhER8PPg1IeIiHo2hiAioh5OCIH0c2UwmszYmn0eDU3NUx83VyWmxITDoJcQK/lx6kNERE6DIYiIqIcqrWnA+oO5MJrMOF1cI9ejQr0xO1HCPcMj4Ovu6sAOiYiIHIMhiIioBxFC4PszpTCazNieU4AGa/PUx0Otwt0x4TAkShim9eXUh4iInJqys57o1VdfhUKhwJNPPinX6urqsHDhQgQEBMDLywvTp09HYWFhZ7VERNRjlFTX4/0vT2P8/34Jwz+/x+asfDRYbRgS4YNX7huCfc9PwPIZMRiu42lvREREnTIJSk9Px/vvv4+YmBi7+lNPPYWtW7di7dq18PX1xaJFizBt2jR8++23ndEWEVG3ZrMJfHf6AowmM3YeKUCjVQAAPNUq3DMiAoYECUO1vg7usnMJIRzdAhERdQMdHoKqq6uRkpKCf/7zn/jTn/4k1ysqKvDvf/8bqampGD9+PABg5cqVGDx4ML7//nvcfPPNHd0aEVG3VFRVh48P5CLNZIG5tFauD9P6wqCXcPewcHhqeLYzERHRlXT4v5ILFy7E5MmTMXHiRLsQdODAATQ2NmLixIlyLSoqCpIkYe/evVcMQfX19aivr5cfV1ZWdlzzRERdhM0m8PWpEhj3mfHZ0UI02ZonHt4aF9w7IgLJeh2iw51r6kNERPRzdWgISktLw8GDB5Gent5qW0FBAdRqNfz8/OzqISEhKCgouOIxly1bhqVLl7Z3q0REXVJhZR3W7rcgLd2C3LKLcj1W8kOyXsKUmDB4qDn14WVORER0IzrsX06LxYInnngCu3btgpubW7sdd8mSJVi8eLH8uLKyEjqdrt2OT0TkaFabwFcnipFqMuPzY0WwXpr6+Li5YFqsFsl6HaJCfRzcJRERUffVYSHowIEDKCoqQmxsrFyzWq346quv8Pe//x07duxAQ0MDysvL7aZBhYWFCA0NveJxNRoNNBpNR7VNROQw+eUXsWa/BWvSLcivqJPrCX16waCXcNfQMLi5qhzYIRERUc/QYSFowoQJyM7OtqvNmzcPUVFR+P3vfw+dTgdXV1fs3r0b06dPBwAcP34cZrMZI0eO7Ki2iIi6lCarDXuOFyPNZMae40W4NPSBn4crpsdqkZygw4AQb8c2SURE1MN0WAjy9vbGkCFD7Gqenp4ICAiQ6w8//DAWL14Mf39/+Pj44LHHHsPIkSN5Zzgi6vFyy2qxJt2C1fstKKz88WYviZH+mJ0oISk6lFMfIiKiDuLQq2nfeOMNKJVKTJ8+HfX19UhKSsK7777ryJaIiDpMo9WG3UeLYDSZ8dXJYrR8pI2/pxoz4rSYlaBDvyAvxzZJRETkBDo1BH3xxRd2j93c3PDOO+/gnXfe6cw2iIg6laW0FmnpZqzZn4viqh+nPrf0D0BygoRJ0SHQuHDqQ0RE1Fl4X1Uiog7Q0GTDZ0cLYTSZ8fXJErke6KXGjDgdkhN06BPo6cAOiYiInBdDEBFROzpXUgNjuhnrDuSipLpBro8eEIjZegkTBodA7aJ0YIdERETEEERE9AvVN1mx43Ah0kxmfHf6glwP8tZgZrwWs+IlSAEeDuyQiIiILscQRET0M50urkaayYyPD+SirLYRAKBQAGMHBsGglzA+KhiuKk59iIiIuhqGICKiG1DXaMX2nAKkmswwnS2V66E+bpiZoMPMeC20vTj1ISIi6soYgoiIrsPJwioYTRasz8hF+aWpj1IB3DYoGAa9hHGDguDCqY/DKBzdABERdSsMQUREV1DXaMXWQ+dhNJmx/4cyuR7u64ZZCRJmJmgR5uvuwA6JiIjo52AIIiL6iWMFlTDuM2NDRh4q65oAACqlAhOimqc+YwYGQaXk7IGIiKi7YggiIgJQ29CELZemPhnmcrke4ecOg16H++N1CPFxc1yDRERE1G4YgojIqR3Or4DRZMamjHxU1TdPfVyUCtx+UwgMegm39g+EklMfIiKiHoUhiIicTnV9Ez7JyofRZMah3Aq53jvAA8kJEmbEaRHkrXFgh0RERNSRGIKIyGlk51Yg1WTG5sw81DRYAQCuKgUmRYditl7CyL4BnPoQERE5AYYgIurRquoasSmzeepzOL9SrkcGesKg12F6rBYBXpz6EBEROROGICLqcYQQyLSUI81kweasfFxsbJ76qFVK3Dk0FMkJEm7u6w+FglMfIiIiZ8QQREQ9RsXFRmzKzEPqPjOOFVTJ9X5BnjDoJUyL1cLfU+3ADomIiKgrYAgiom5NCIGD5jKk7rNga3Y+6hptAACNixKTh4bBkCghvncvTn2IiIhIxhBERN1SeW0D1h/MQ1q6GScKq+X6oBBvGPQ63DdCC18PVwd2SI4ghKM7ICKi7oAhiIi6DSEE0s+VwWgyY2v2eTQ0NU993FyVmBITDoNeQqzkx6kPERERXRVDEBF1eaU1DVh/MBdGkxmni2vkelSoN1ISJUwdHgFfd059nBmDLxER3QiGICLqkoQQ2HvmAtJMFmzPKUCDtXnq46FWYeqwcCTrJQzT+vLNLxEREd0whiAi6lJKquux7kAu0tItOFvy49RnSIQPDHoJU4eFw9uNUx8iIiL6+RiCiMjhbDaB705fgNFkxs4jBWi0Nl/d7qlW4Z4RETAkSBiq9XVwl0RERNRTMAQRkcMUVdXh4wO5SDNZYC6tlevDdH4wJOhw97BweGr41xQRERG1L767IKJOZbMJfH2qBMZ9Znx2tBBNtuapj7fGBfeOiECyXofocE59iIiIqOMwBBFRpyisrMOadAvS0i3IK78o12MlPxj0EibHhMFDzb+SiIiIqOPxHQcRdRirTeDLE0Uwmiz4/FgRrJemPj5uLpgWq0WyXoeoUB8Hd0lERETOhiGIiNpdfvlFrNlvwZp0C/Ir6uR6Qp9eMOgl3DU0DG6uKgd2SERERM6MIYiI2kWT1YY9x4uRZjJjz/EiXBr6wM/DFdNjtUhO0GFAiLdjmyQiIiICQxAR/UK5ZbVYk27B6v0WFFbWy/XESH/MTpSQFB3KqQ91GgHh6BaIiKgbYAgiohvWaLVh99EiGE1mfHWyGOLS+05/TzVmxGkxK0GHfkFejm2SiIiI6AoYgojoupkv1CIt3Yy1B3JRXPXj1OeW/gEw6CXcflMINC6c+hAREVHXxhBERFfV0GTDZ0cLYTSZ8fXJErke6KXGjDgdkhN06BPo6cAOiQCFoxsgIqJuhSGIiNp0tqQGaelmfLw/FxdqGuT66AGBmK2XMGFwCNQuSgd2SERERPTzMAQRkay+yYodhwuRZjLju9MX5HqQtwaz4nWYlaCDzt/DgR0SERER/XIMQUSE08XVSDOZ8fGBXJTVNgIAFApg7MAgGPQSxkcFw1XFqQ8RERH1DAxBRE6qrtGK7TkFSDWZYTpbKtdDfdwwM0GHmfFaaHtx6kNEREQ9D0MQkZM5UVgFo8mMDRl5KL809VEqgPFRwUhOkDBuUBBcOPUhIiKiHowhiMgJXGyw4tPs8zCazNj/Q5lcj/Bzx8x4HWYmaBHm6+7ADomIiIg6D0MQUQ92rKASxn1mrM/IQ1VdEwBApVRgQlQwDIkSxgwIgkrJmwsTERGRc2EIIuphahuasCXrPIzpZmSYy+W6tpc7DHoJM+K0CPFxc1yDRERERA7GEETUQxzOr4DRZMamjHxU1TdPfVyUCtx+UwgMegm39g+EklMfIiIiIoYgou6sur4Jn2Tlw2gy41BuhVzvHeCB5ITmqU+Qt8aBHRJ1LiEc3QEREXUHDEFE3VB2bgVSTWZszsxDTYMVAOCqUiApOhQGvYSRfQM49SEiIiK6AoYgom6iqq4RmzKbpz6H8yvlet9ATyTrdZgeq0WAF6c+5KSY+YmI6AYwBBF1YUIIZFrKYTSZ8UnWeVxsbJ76qFVK3Dm0eeqTGOkPhYLvAImIiIiuV4eGoGXLlmH9+vU4duwY3N3dMWrUKCxfvhyDBg2S96mrq8PTTz+NtLQ01NfXIykpCe+++y5CQkI6sjWiLq3iYiM2ZuTBaDLjWEGVXO8f7IXkhOapTy9PtQM7JCIiIuq+OjQEffnll1i4cCESEhLQ1NSE559/HpMmTcKRI0fg6ekJAHjqqaewdetWrF27Fr6+vli0aBGmTZuGb7/9tiNbI+pyhBA4aC5D6j4Ltmbno67RBgDQuCgxeWgYDIkS4nv34tSHiIiI6Bfq0BC0fft2u8cffPABgoODceDAAYwZMwYVFRX497//jdTUVIwfPx4AsHLlSgwePBjff/89br755o5sj6hLKK9twPqDeUhLN+NEYbVcHxTiDYNeh/tGaOHr4erADomIiIh6lk69JqiiovkWvv7+/gCAAwcOoLGxERMnTpT3iYqKgiRJ2Lt3b5shqL6+HvX19fLjysrKVvsQdXVCCKSfK4PRZMbW7PNoaGqe+ri5KjElJhwGvYRYyY9THyIiIqIO0GkhyGaz4cknn8Qtt9yCIUOGAAAKCgqgVqvh5+dnt29ISAgKCgraPM6yZcuwdOnSjm6XqEOU1jRg/cFcGE1mnC6ukeuDw3wwW6/D1OER8HXn1IeIiIioI3VaCFq4cCFycnLwzTff/KLjLFmyBIsXL5YfV1ZWQqfT/dL2iDqMEAJ7z1yA0WTBjpwCNFibpz4eahWmDmue+sRofTn1ISIiIuoknRKCFi1ahC1btuCrr76CVquV66GhoWhoaEB5ebndNKiwsBChoaFtHkuj0UCj4WehUNdXUl2PdQdykZZuwdmSH6c+QyN8kazXYeqwcHi7cepDRERE1Nk6NAQJIfDYY49hw4YN+OKLLxAZGWm3PS4uDq6urti9ezemT58OADh+/DjMZjNGjhzZka0RdQibTeC70xdgNJmx80gBGq0CAOCpVuGeEREwJEgYqvV1cJdEREREzq1DQ9DChQuRmpqKTZs2wdvbW77Ox9fXF+7u7vD19cXDDz+MxYsXw9/fHz4+PnjssccwcuRI3hmOupWiqjqs3Z+L1ekWmEtr5fownR9m63WYEhMOTw0/m5iIiIioK+jQd2UrVqwAAIwbN86uvnLlSsydOxcA8MYbb0CpVGL69Ol2H5ZK1NXZbAJfnyqBcZ8Znx0tRJOteerjrXHBvSMikKzXITqcUx+iziQc3QAREXULHX463LW4ubnhnXfewTvvvNORrRC1m8LKOqxJtyAt3YK88otyPVbyg0EvYXJMGDzUnPoQERERdVV8p0Z0Haw2gS9PFCF1nwV7jhfBemnq4+PmgmmxWhj0EgaFeju4SyLnpQDvrkhERNePIYjoKvLLL2LNfgvWpFuQX1En1/V9/JGs1+GuoWFwc1U5sEMiIiIiulEMQUQ/0WS1Yc/xYhhNZnxxvAiXhj7w83DF9FgtDHod+gdz6kNERETUXTEEEV1iKa1tnvrst6Cwsl6u39zXHwa9hKToUE59iIiIiHoAhiByao1WG3YfLYLRZMZXJ4vRci8Pf081ZsRpMStBh35BXo5tkoiIiIjaFUMQOSXzhVqkpZux9kAuiqt+nPrc0j8ABr2E228KgcaFUx8iIiKinoghiJxGQ5MNnx0thNFkxtcnS+R6oJcaM+J0SE7QoU+gpwM7JCIiIqLOwBBEPd7ZkhqkpZvx8f5cXKhpAAAoFMCt/QMxWy9hwuAQqF2UDu6SiIiIiDoLQxD1SPVNVuw4XAjjPjP2nrkg14O9NZgZr8OsBB10/h4O7JCIiIiIHIUhiHqUU0XVSDOZse5gLspqGwE0T33GDQxCsl7C+KhguKo49SEiIiJyZgxB1O3VNVqxPacAqSYzTGdL5XqojxtmJugwM14LbS9OfYiIiIioGUMQdVsnCqtgNJmx/mAeKi42T32UCmB8VDAMegljBwbBhVMfIqfScpt7IiKiq2EIom7lYoMVn2afh9Fkxv4fyuR6hJ87ZsbrMDNBizBfdwd2SERERERdHUMQdQvHCiph3GfG+ow8VNU1AQBUSgUmRAXDkChhzIAgqJQKB3dJRI6i4H/+RER0AxiCqMuqbWjClqzzSDWZkWkpl+vaXu4w6CXMiNMixMfNcQ0SERERUbfEEERdTk5eBdLSzdiYkY/q+uapj4tSgUnRIUhOkHBr/0AoOfUhIiIiop+JIYi6hOr6JnySlQ+jyYxDuRVyvXeAB5ITmqc+Qd4aB3ZIRERERD0FQxA5jBAC2XkVMJrM2JyZj5oGKwDAVaVAUnQoZusl3Nw3gFMfIiIiImpXDEHU6arqGrEps3nqczi/Uq73DfREsl6H6bFaBHhx6kNEREREHYMhiDqFEAKZlnIYTWZ8knUeFxubpz5qlRJ3Dg2FQS8hMdIfCt7iiYiIiIg6GEMQdaiKi43YmJEHo8mMYwVVcr1/sBcMegnTRkSgl6fagR0SERERkbNhCKJ2J4TAgR/KYDRZsDU7H3WNNgCAxkWJyTFhMOglxPfuxakPERERETkEQxC1m/LaBqw/2Dz1OVlULdcHhXjDoNfhvhFa+Hq4OrBDIiIiIiKGIPqFhBAwnS2F0WTGpzkFaGhqnvq4uSpxd0w4DIkSRuj8OPUhok4hIBzdAhERdQMMQfSzlNY0YP3BXKSazDhTXCPXB4f5YLZeh3tGRMDHjVMfIiIiIup6GILougkhsPfMBRhNFuzIKUCDtXnq46FWYeqwcBj0EmK0vpz6EFGn4986RER0IxiC6JpKquux7kAu0tItOFvy49RnaIQvkvU6TB0WDm9OfYiIiIiom2AIojbZbALfni5BmsmCnUcK0GhtPs/eS+OCqcPDYUiQMFTr6+AuiYiIiIhuHEMQ2SmqqsPa/blISzfDUnpRrg/T+WG2XocpMeHw1HDZEBEREVH3xXezBKtN4OuTxTCazNh9tAhNtuapj7fGBffFRiA5QcJN4T4O7pKIiIiIqH0wBDmxgoo6rN1vQVq6BXnlP059YiU/GPQSJseEwUPNJUJEREREPQvf4ToZq03gyxNFSN1nwZ7jRbBemvr4uLlgWqwWBr2EQaHeDu6SiIiIiKjjMAQ5ifzyi1iz34I16RbkV9TJdX0ffyTrdbhraBjcXFUO7JCIiIiIqHMwBPVgTVYb9hxvvtbni+NFuDT0gZ+HK6bHamHQ69A/mFMfIiIiInIuDEE9kKW0tnnqs9+Cwsp6uX5zX38Y9BKSokM59SEiIiIip8UQ1EM0Wm3YfbQQRpMFX50shrg09fH3VOP+OC1mJejQN8jLsU0SEREREXUBDEHdnPlCLdLSzVizPxcl1T9OfW7pHwCDXsLtN4VA48KpDxE5h5ZfABEREV0NQ1A31NBkw64jhTCazPjmVIlcD/RS4/54HZITdOgd4OnADomIiIiIui6GoG7kbEkN0tLN+Hh/Li7UNAAAFApg9IAgGBJ0mDA4BGoXpYO7JCLqfAqFozsgIqLuhCGoi6tvsmLH4UIY95mx98wFuR7srcHMeB1mJeig8/dwYIdERERERN0LQ1AXdaqoGmkmM9YdzEVZbSOA5t90jhsYhGS9hPFRwXBVcepDRERERHSjGIK6kLpGK7blnIfRZIHpbKlcD/Vxw8wEHWbGa6HtxakPEREREdEvwRDUBZworILRZMb6g3mouNg89VEqgPFRwTDoJYwdGAQXTn2IiIiIiNoFQ5CDXGywYmv2eRhNZhz4oUyuR/i5Y1aCDvfHaxHm6+7ADomIiIiIeiaGoE529Hwl0kxmrM/IQ1VdEwBApVRgQlQwDIkSxgwIgkrJ2xwREREREXWULhGC3nnnHfzlL39BQUEBhg0bhrfffht6vd7RbbWb2oYmbMk6j1STGZmWcrmu7eUOg17C/XFaBPu4Oa5BIiIiIiIn4vAQtHr1aixevBjvvfceEhMT8eabbyIpKQnHjx9HcHCwo9v7RXLyKpCWbsbGjHxU1zdPfVyUCkyKDkFygoRb+wdCyakPEREREVGncngIev311/HII49g3rx5AID33nsPW7duxX/+8x8899xzDu7uxlXXN2FzZj7S0s04lFsh13sHeCA5QcKMOC2CvDUO7JCIiIiIqH0JIaDoRp9c7dAQ1NDQgAMHDmDJkiVyTalUYuLEidi7d2+b31NfX4/6+nr5cWVlZYf3eT0uVNfjrzuPY1NmPmobrAAAV5UCSdGhmK2XcHPfAE59iIiIiKjHqGu0YsfhAhhNZkyOCceDN/d2dEvXzaEhqKSkBFarFSEhIXb1kJAQHDt2rM3vWbZsGZYuXdoZ7d0QT40Lth46j9oGK/oGesKglzAtNgIBXpz6EBEREVHPcaqoCkaTBesO5qK8tvnjXarrmxiCOtKSJUuwePFi+XFlZSV0Op0DO2rm5qrCH6ZGI9zPHYmR/t1qHEhEREREdDV1jVZ8eunjXdLP/fjxLmG+bpiVoMPMeMe/H78RDg1BgYGBUKlUKCwstKsXFhYiNDS0ze/RaDTQaLrmdGVarNbRLRAROSUF+IsnIqKOcLygCkaTGesP5qLyso93uW1QMGYn6jB2YHC3/HgXh4YgtVqNuLg47N69G/feey8AwGazYffu3Vi0aJEjWyMiIiIickoXG6zYcigfRpMZB83lcj3Czx3JCTrcH69DqG/3/ngXh58Ot3jxYsyZMwfx8fHQ6/V48803UVNTI98tjoiIiIiIOt6R/EoYTWZszMxDVd2PH+8ycXAIkvU6jB4Q1C2nPm1xeAiaNWsWiouL8dJLL6GgoADDhw/H9u3bW90sgYiIiIiI2ldNfRM+ycqHMd2CLEu5XJf8PZCs12FGnBbB3t176tMWh4cgAFi0aBFPfyMiIiIi6iQ5eRVINZmxKSMPNZd9vMukm0Jh0EsY1a9nf7xLlwhBRERERETUsarqGrE5q/lan5y8Hz9rs0+ABwx6CdPjtAh0ko93YQgiIiIiIuqhhBA4lFsBo8mMzVn5qL009VGrlEgaEgqDXoeRfQOc7uNdGIKIiIiIiHqYyrpGbMrIQ6rJgqPnf5z69A3yxGy9hGmxWvh7qh3YoWMxBBERERER9QBCCBw0lyPNZMYnh/JR12gDAKhdlJg8NAzJCTroI/2dburTFoYgIiIiIqJurKK2ERsycmE0WXC8sEquDwj2gkEvYVpsBPw8nHfq0xaGICIiIiKibkYIgf0/lMG4z4yt2edR39Q89dG4KDElJhyzE3WIlXpx6nMFDEFERNRjCCEc3QIRUYcqq2nAuoO5SEu34FRRtVyPCvXG7EQJ9wyPgK+7qwM77B4YgoiIqNvjLzqJqCcTQmDf2VIYTWZsyy5Ag7V56uPuqsLdw8Jg0EsYrvPj1OcGMAQREREREXVBF6rrm6c+JgvOlNTI9ZvCfC5NfcLh7capz8/BEERERERE1EXYbAJ7z1yA0WTGjsMFaLQ2n+brqVZh6vAIGPQ6DI3w5dTnF2IIIiIiIiJysOKqenx8IBdp6Wb8cKFWrg/T+iJZL+HuYeHw0vCte3vhT5KIiIiIyAFsNoFvTpXAaDJj15FCNNmapz5eGhfcOyIcyQkShkT4OrjLnokhiIiIiIioExVW1mHtfgvS0i3ILbso10dIfjDoJUyJCYOHmm/TOxJ/ukREREREHcxqE/jqZDGM+8zYfawI1ktTH283F0wbEYFkvYTBYT4O7tJ5MAQREREREXWQ8xUXsSY9F2v2W5BX/uPUJ753Lxj0Eu4aGgZ3tcqBHTonhiAiIiIionbUZLXhi+PFSEs34/NjRbg09IGvuyumx2qRrNdhYIi3Y5t0cgxBRERERETtIK/8IlanW7Am3YKCyjq5nhjpD4Newh1DQuHmyqlPV8AQRERERET0MzVabfj8WBGMJjO+PFEMcWnq08vDFTPitJiVIKF/sJdjm6RWGIKIiKjHaHnzQUTU0SyltUhLN2Pt/lwUVdXL9VH9AmDQS5gUHQKNC6c+XRVDEBERERHRdWi02vDZkUKkmsz45lSJ/IuXAE81ZsRrkZwgITLQ07FN0nVhCCIiom5PoXB0B0TUk50rqUFaugUfH7CgpLpBro8eEAiDXsLEwSFQuygd2CHdKIYgIiIiIqKfqG+yYteRQhhNZnx76oJcD/LWYGa8FrPiJUgBHg7skH4JhiAiIiIiokvOFFdfmvrkorSmeeqjUABjBwYhOUHChMHBcFVx6tPdMQQRERERkVOra7Rix+ECGE1mfH+mVK6H+GgwK16HmQk6aHtx6tOTMAQRERERkVM6VVQFo8mCdQdzUV7bCABQKoDbBgUjWS/htkFBcOHUp0diCCIiIiIip1HXaMWn2edhNJmRfq5Mrof5umFWgg4z43UI93N3YIfUGRiCiIiIiKjHO15QBaPJjPUHc1FZ1wQAUCkVGB8VjNl6CWMGBkGl5K0mnQVDEBERERH1SBcbrNhyKB9GkxkHzeVyPcLPHckJOtwfr0Oor5vjGiSHYQgiIiIioh7lSH4ljCYzNmbkoaq+eerjolRg4uAQGBIljO4fCCWnPk6NIYiIiIiIur2a+iZ8kpUPY7oFWZZyuS75eyBZr8OMOC2CvTn1oWYMQURERETUbeXkVSDVZMamjDzUNFgBAK4qBSZFh8KQIGFUvwBOfagVhiAiIuoxhKMbIKJOUVXXiM1Zzdf65ORVyvU+AR4w6CVMj9Mi0EvjwA6pq2MIIiIiIqIuTwiBrNwKGPeZ8cmhfNRemvqoVUrcMSQUBr2Em/v6Q6Hg1IeujSGIiIh6AL7pIeqpKusasSkjD6kmC46e/3Hq0y/IEwa9hGmxWvh7qh3YIXVHDEFERERE1KUIIXDQXA6jyYwth/JR12gDAKhdlJg8NAwGvYSEPr049aGfjSGIiIiIiLqEitpGrM/IRZrJguOFVXJ9YIgXDHoJ942IgJ8Hpz70yzEEEREREZHDCCGw/4cyGPeZsTX7POqbmqc+bq5KTIkJh0GvQ6zEqQ+1L4YgIiIiIup0ZTUNWHcwF2npFpwqqpbrUaHemJ0o4Z7hEfB1d3Vgh9STMQQRERERUacQQuD7M6UwmszYnlOABmvz1MfdVYWpw8JhSJQwTOvLqQ91OIYgIiIiIupQF6rrm6c+JgvOlNTI9ehwHxj0Eu4ZHg5vN059qPMwBBERERFRu7PZBPaeuYBUkxk7Dxeg0dr8ccaeahWmDo/AbL2EoVpfB3dJzoohiIiIiIjaTXFVPT4+kIu0dDN+uFAr14dpfWHQS7h7WDg8NXwLSo7FFUhEREREv4jNJvDNqRIYTWbsOlKIJlvz1Mdb44J7R0QgWa9DdDinPtR1MAQRERER0c9SWFmHtfstSEu3ILfsolwfIfnBoJcwJSYMHmq+3aSuh6uSiIh6DCEc3QFRz2e1CXx1ohhGkxm7jxXBemnq4+PmgmmxWiTrdYgK9XFwl0RXp+yIg547dw4PP/wwIiMj4e7ujn79+uHll19GQ0OD3X6HDh3C6NGj4ebmBp1Oh9dee60j2iEioh6Od9Ml6njnKy7irc9OYvTyzzHvg3TsPFIIq00goU8vvD5zGEwvTMQfpkYzAFG30CGToGPHjsFms+H9999H//79kZOTg0ceeQQ1NTX461//CgCorKzEpEmTMHHiRLz33nvIzs7G/Pnz4efnh0cffbQj2iIiIiKiG9BkteGL481Tnz3Hi3Bp6AM/D1dMG6GFQa/DgBBvxzZJ9DN0SAi64447cMcdd8iP+/bti+PHj2PFihVyCFq1ahUaGhrwn//8B2q1GtHR0cjMzMTrr7/OEERERETkQHnlF7E63YI16RYUVNbJ9cRIf8xOlJAUHQo3V5UDOyT6ZTrtmqCKigr4+/vLj/fu3YsxY8ZArVbLtaSkJCxfvhxlZWXo1atXm8epr69HfX29/LiysrLjmiYiIiJyEo1WGz4/VgSjyYwvTxTL19j5e6oxPTYCyXoJ/YK8HNskUTvplBB06tQpvP322/IUCAAKCgoQGRlpt19ISIi87UohaNmyZVi6dGnHNUtERETkRCyltUhLN2Pt/lwUVf34i+ZR/QJg0EuYFB0CjQunPtSz3FAIeu6557B8+fKr7nP06FFERUXJj/Py8nDHHXfg/vvvxyOPPPLzurzMkiVLsHjxYvlxZWUldDrdLz4uERERkbNoaLLhs6OFMJrM+OZUiTz1CfRSY0acDskJOvQJ9HRsk0Qd6IZC0NNPP425c+dedZ++ffvK/z8/Px+33XYbRo0ahX/84x92+4WGhqKwsNCu1vI4NDT0isfXaDTQaDQ30jYRERERAThXUoO0dAs+PmBBSfWPd+0dPSAQs/USJgwOgdqlQ24eTNSl3FAICgoKQlBQ0HXtm5eXh9tuuw1xcXFYuXIllEr7/6BGjhyJF154AY2NjXB1dQUA7Nq1C4MGDbriqXBEREREdGPqm6zYebh56vPd6QtyPchbg5nxWsyKlyAFeDiwQ6LO1yHXBOXl5WHcuHHo3bs3/vrXv6K4uFje1jLlmT17NpYuXYqHH34Yv//975GTk4O33noLb7zxRke0RERERORUzhRXX5r65KK0pnnqo1AAYwcGwaCXMD4qGK4qTn3IOXVICNq1axdOnTqFU6dOQavV2m0Tl0469fX1xc6dO7Fw4ULExcUhMDAQL730Em+PTURERPQz1TVaseNwAVL3mbHvbKlcD/Vxw8x4LWYm6KDtxakPUYeEoLlz517z2iEAiImJwddff90RLRARERE5jZOFVTCaLFifkYvy2kYAgFIB3DYoGAa9hHGDguDCqQ+RrNM+J4iIiKijCQhHt0DUaeoarfg0+zyMJjPSz5XJ9XBfN8xKkDAzQYswX3cHdkjUdTEEEREREXUjxwoqkWayYP3BXFTWNQEAVEoFJkQ1T33GDAyCSqlwcJdEXRtDEBERdXt8u0c9XW1DE7Ycap76ZJjL5XqEnzsMeh3uj9chxMfNcQ0SdTMMQURERERd1OH8CqSZLNiYkYeq+uapj4tSgdtvCoFBL+HW/oFQcupDdMMYgoiIiIi6kJr6JnySlQ+jyYys3Aq5Lvl7IFmvw4w4LYK9OfUh+iUYgoiIiIi6gOzcChjTzdiUkYeaBisAwFWlwKToUMzWSxjZN4BTH6J2whBERERE5CBVdY3YfGnqk5NXKdcjAz1h0OswLVaLQC+NAzsk6pkYgoiIiIg6kRACWbkVMO4z45ND+ai9NPVRq5S4c2gokhMk3NzXHwoFpz5EHYUhiIiIiKgTVFxsxKbMPBhNFhw9/+PUp1+QJwx6CdNitfD3VDuwQyLnwRBERERE1EGEEDhoLofRZMaWQ/moa7QBANQuSkwZGgZDooT43r049SHqZAxBRERERO2sorYR6zNyYTSZcaKwWq4PDPGCQS/hvhER8PPg1IfIURiCiIiIiNqBEALp58qQZjJja/Z51Dc1T33cXJWYEhMOg15CrOTHqQ9RF8AQRERERPQLlNU0YN3B5qnP6eIauR4V6o2URAlTh0fA193VgR0S0U8xBBERUY8hhKM7IGchhMD3Z0phNJmxPacADdbmqY+HWoWpw8KRrJcwTOvLqQ9RF8UQRERE3R7fZ1JnKamux7oDuVidbsGZkh+nPkMifGDQS5g6LBzebpz6EHV1DEFEREREV2GzCew9cwGpJjN2Hi5Ao7V55OipVuGeEREwJEgYqvV1cJdEdCMYgoiIiIjaUFRVh48P5CLNZIG5tFauD9P6wqCXcPewcHhq+FaKqDvif7lEREREl9hsAl+fKkGayYxdRwrRZGue+nhrXHDviAgk63WIDufUh6i7YwgiIiIip1dYWYe1+y1IS7cgt+yiXI+V/JCslzAlJgwear5tIuop+F8zEREROSWrTeCrE8VINZnx+bEiWC9NfXzcXDAtVotkvQ5RoT4O7pKIOgJDEBERETmV8xUXsSY9F6vTzcivqJPrCX16waCXcNfQMLi5qhzYIRF1NIYgIiIi6vGarDZ8cbwYRpMZe44X4dLQB34erpgeq0Vygg4DQrwd2yQRdRqGICIiIuqxcstqsSbdgtX7LSisrJfriZH+mJ0oISk6lFMfIifEEEREREQ9SqPVht1Hi5CWbsaXJ4ohLk19/D3VmBGnxawEHfoFeTm2SSJyKIYgIiIi6hEspbVISzdjzf5cFFf9OPW5pX8AkhMkTIoOgcaFUx8iYggiIiKibqyhyYbPjhbCaDLj65Mlcj3QS40ZcTokJ+jQJ9DTgR0SUVfEEERERD2GcHQD1GnOldQgLd2Cjw9YUFLdINdHDwjEbL2ECYNDoHZROrBDIurKGIKIiKjbU0Dh6BaoE9Q3WbHzcPPU57vTF+R6kLcGs+J1mJWgg87fw4EdElF3wRBEREREXdrp4mqkmcxYdzAPpTXNUx+FAhg7MAgGvYTxUcFwVXHqQ0TXjyGIiIiIupy6Rit2HC5A6j4z9p0tleuhPm6YmaDDzHgttL049SGin4chiIiIiLqMk4VVMJosWJ+Ri/LaRgCAUgGMjwpGcoKEcYOC4MKpDxH9QgxBRERE5FB1jVZsPXQeaelmpJ8rk+sRfu6YGa/DzAQtwnzdHdghEfU0DEFERETkEMcKKpFmsmD9wVxU1jUBAFRKBSZEBcOQKGHMgCColLzpBRG1P4YgIiIi6jS1DU3Ycug8jCYzMszlcl3byx0GvYQZcVqE+Lg5rkEicgoMQURERNThDudXwGgyY1NGPqrqm6c+LkoFbr8pBAa9hFv7B0LJqQ8RdRKGICIiIuoQNfVN+CQrH0aTGVm5FXK9d4AHkhOapz5B3hoHdkhEzoohiIiIiNpVdm4FUk1mbM7MQ02DFQDgqlIgKToUBr2EkX0DOPUhIodiCCIiIqJfrKquEZsy85GWbkZOXqVc7xvoiWS9DtNjtQjw4tSHiLoGhiAiIiL6WYQQyMqtgHGfGZuz8nGxsXnqo1YpcefQ5qlPYqQ/FApOfYioa2EIIiKinkMIR3fgFCouNmJTZh5S95lxrKBKrvcP9kJyQvPUp5en2oEdEhFdHUMQERF1exw0dDwhBA6ay2E0mbHlUD7qGm0AAI2LEpOHhsGQKCG+dy9OfYioW2AIIiIioisqr23Ahow8GE1mnCisluuDQrxh0Otw3wgtfD1cHdghEdGNYwgiIiIiO0IIpJ8rg9Fkxtbs82hoap76uLkqcXdMOAyJEkbo/Dj1IaJuiyGIiIiIAAClNQ1YfzAXRpMZp4tr5PrgMB/M1utwz4gI+Lhx6kNE3R9DEBERkRMTQuD7M6UwmszYnlOABmvz1MdDrcLUYeEw6CXEaH059SGiHqXDQ1B9fT0SExORlZWFjIwMDB8+XN526NAhLFy4EOnp6QgKCsJjjz2GZ599tqNbIiIicnol1fVYdyAXaekWnC35ceozNMIXyXodpg4LhzenPkTUQ3V4CHr22WcRHh6OrKwsu3plZSUmTZqEiRMn4r333kN2djbmz58PPz8/PProox3dFhERkdOx2QT2nrmAVJMZOw8XoNHafEtxT7UK94yIgCFBwlCtr4O7JCLqeB0agrZt24adO3di3bp12LZtm922VatWoaGhAf/5z3+gVqsRHR2NzMxMvP766wxBRERE7aioqg4fH8hFmskCc2mtXB+m88NsvQ5TYsLhqeEZ8kTkPDrsb7zCwkI88sgj2LhxIzw8PFpt37t3L8aMGQO1+scPU0tKSsLy5ctRVlaGXr16tXnc+vp61NfXy48rKyvbv3kiIqJuzmYT+PpUCYz7zPjsaCGabM1TH2+NC+6LjUBygoSbwn0c3CURkWN0SAgSQmDu3Ln49a9/jfj4eJw7d67VPgUFBYiMjLSrhYSEyNuuFIKWLVuGpUuXtnvPREREPUFhZR3W7rcgLd2C3LKLcj1W8oNBL2FyTBg81Jz6EJFzu6G/BZ977jksX778qvscPXoUO3fuRFVVFZYsWfKLmmvLkiVLsHjxYvlxZWUldDpduz8PERFRd2G1CXx1ohipJjM+P1YE66Wpj4+bC6bFamHQSxgU6u3gLomIuo4bCkFPP/005s6de9V9+vbti88//xx79+6FRqOx2xYfH4+UlBR8+OGHCA0NRWFhod32lsehoaFXPL5Go2l1XCIiIgAQjm6gk+WXX8Sa/RasSbcgv6JOruv7+CNZr8NdQ8Pg5qpyYIdERF3TDYWgoKAgBAUFXXO/v/3tb/jTn/4kP87Pz0dSUhJWr16NxMREAMDIkSPxwgsvoLGxEa6uzbfg3LVrFwYNGnTFU+GIiIja4kyfYNNkteGL48UwmszYc7wIl4Y+8PNwxfRYLQx6HfoHc+pDRHQ1HXJSsCRJdo+9vLwAAP369YNWqwUAzJ49G0uXLsXDDz+M3//+98jJycFbb72FN954oyNaIiIi6tZyy2qxJt2C1fstKKz88QZBN/f1h0EvISk6lFMfIqLr5LArI319fbFz504sXLgQcXFxCAwMxEsvvcTbYxMREV3SaLVh99EipKWb8eWJYohLUx9/TzXuj9NiVoIOfYO8HNskEVE31CkhqE+fPhCi9ZnaMTEx+PrrrzujBSIiom7DUlqLtHQz1uzPRXHVj1OfW/oHwKCXcPtNIdC4cOpDRPRz8R6ZREREXUBDkw2fHS2E0WTG1ydL5Hqglxr3x+uQnKBD7wBPB3ZIRNRzMAQRERE50LmSGhjTzVh3IBcl1Q0AAIUCGD0gCIYEHSYMDoHaRengLomIehaGICIiok5W32TFzsPNU5/vTl+Q68HeGsyM12FWgg46fw8HdkhE1LMxBBEREXWS08XVSDOZse5gHkprfpz6jBsYBINewvioYLioOPUhIupoDEFEREQdqK7Rih2HC5C6z4x9Z0vleqiPG2Yl6DAzQYcIP3cHdkhE5HwYgoiIiDrAycIqGE0WrM/IRXltIwBAqQDGRwXDoJcwdmAQpz5ERA7CEERERNRO6hqt2HroPIwmM/b/UCbXI/zcMStBh/vjtQjz5dSHiMjRGIKIiIh+oWMFlTDuM2NDRh4q65oAACqlAhOigmFIlDBmQBBUSoWDuyQiohYMQURE1GO08bncHaa2oQlbLk19Mszlcl3byx0GvYT747QI9nHrvIaIiOi6MQQREVG3p1B03pTlcH4FjCYzNmXko6q+eerjolRgUnQIkhMk3No/EEpOfYiIujSGICIiomuoqW/CJ1n5MJrMyMqtkOu9Azxg0EuYHqtFkLfGgR0SEdGNYAgiIiK6guzcCqSazNicmYeaBisAwFWlQFJ0KGbrJdzcN4BTHyKiboghiIiI6DJVdY3YlNk89TmcXynX+wZ6wqCXMC02AgFenPoQEXVnDEFEROT0hBDItJQjzWTB5qx8XGxsnvqoXZS4c0goDHoJiZH+nXrtERERdRyGICIicloVFxuxKTMPqfvMOFZQJdf7B3s1T31GRKCXp9qBHRIRUUdgCCIiIqcihMBBcxlS91mwNTsfdY02AIDGRYnJMWEw6CXE9+7FqQ8RUQ/GEERERE6hvLYBGzLyYDSZcaKwWq4PCvGGQa/DfSO08PVwdWCHRETUWRiCiIioxxJCIP1cGYwmM7Zmn0dDU/PUx81VibtjwmFIlDBC58epDxGRk2EIIiKiHqe0pgHrD+bCaDLjdHGNXB8c5oPZiRLuGR4OHzdOfYiInBVDEBER9Rh7z1zA48YMbM8pQIO1eerjoVZh6rBwGPQSYrS+nPoQERFDEBER9RwHfijDgR/KAABDI3xh0EuYOjwcXhr+c0dERD/ivwpERNTtBXn/+OGlKYkSDHoJQyJ8HdgRERF1ZQxBRETU7S0Y0xexUi/EaH3hyakPERFdA/+lICKibs9FpcTIfgGOboOIiLoJpaMbICIiIiIi6kwMQURERERE5FQYgoiIiIiIyKkwBBERERERkVNhCCIiIiIiIqfCEERERERERE6FIYiIiIiIiJwKQxARERERETkVhiAiIiIiInIqDEFERERERORUXBzdwC8lhAAAVFZWOrgTIiIiIiJypJZM0JIRrqTbh6CqqioAgE6nc3AnRERERETUFVRVVcHX1/eK2xXiWjGpi7PZbMjPz4e3tzcUCoVDe6msrIROp4PFYoGPj49DeyG6Fq5X6k64Xqk74Xql7qSnrVchBKqqqhAeHg6l8spX/nT7SZBSqYRWq3V0G3Z8fHx6xCIi58D1St0J1yt1J1yv1J30pPV6tQlQC94YgYiIiIiInApDEBERERERORWGoHak0Wjw8ssvQ6PROLoVomvieqXuhOuVuhOuV+pOnHW9dvsbIxAREREREd0IToKIiIiIiMipMAQREREREZFTYQgiIiIiIiKnwhBEREREREROhSGoHb3zzjvo06cP3NzckJiYCJPJ5OiWqIdbtmwZEhIS4O3tjeDgYNx77704fvy43T51dXVYuHAhAgIC4OXlhenTp6OwsNBuH7PZjMmTJ8PDwwPBwcF45pln0NTUZLfPF198gdjYWGg0GvTv3x8ffPBBR7886sFeffVVKBQKPPnkk3KNa5W6mry8PDzwwAMICAiAu7s7hg4div3798vbhRB46aWXEBYWBnd3d0ycOBEnT560O0ZpaSlSUlLg4+MDPz8/PPzww6iurrbb59ChQxg9ejTc3Nyg0+nw2muvdcrro57DarXixRdfRGRkJNzd3dGvXz/88Y9/xOX3P+N6/QlB7SItLU2o1Wrxn//8Rxw+fFg88sgjws/PTxQWFjq6NerBkpKSxMqVK0VOTo7IzMwUd911l5AkSVRXV8v7/PrXvxY6nU7s3r1b7N+/X9x8881i1KhR8vampiYxZMgQMXHiRJGRkSE+/fRTERgYKJYsWSLvc+bMGeHh4SEWL14sjhw5It5++22hUqnE9u3bO/X1Us9gMplEnz59RExMjHjiiSfkOtcqdSWlpaWid+/eYu7cuWLfvn3izJkzYseOHeLUqVPyPq+++qrw9fUVGzduFFlZWWLq1KkiMjJSXLx4Ud7njjvuEMOGDRPff/+9+Prrr0X//v2FwWCQt1dUVIiQkBCRkpIicnJyhNFoFO7u7uL999/v1NdL3dsrr7wiAgICxJYtW8TZs2fF2rVrhZeXl3jrrbfkfbhe7TEEtRO9Xi8WLlwoP7ZarSI8PFwsW7bMgV2RsykqKhIAxJdffimEEKK8vFy4urqKtWvXyvscPXpUABB79+4VQgjx6aefCqVSKQoKCuR9VqxYIXx8fER9fb0QQohnn31WREdH2z3XrFmzRFJSUke/JOphqqqqxIABA8SuXbvE2LFj5RDEtUpdze9//3tx6623XnG7zWYToaGh4i9/+YtcKy8vFxqNRhiNRiGEEEeOHBEARHp6urzPtm3bhEKhEHl5eUIIId59913Rq1cveQ23PPegQYPa+yVRDzZ58mQxf/58u9q0adNESkqKEILrtS08Ha4dNDQ04MCBA5g4caJcUyqVmDhxIvbu3evAzsjZVFRUAAD8/f0BAAcOHEBjY6Pd2oyKioIkSfLa3Lt3L4YOHYqQkBB5n6SkJFRWVuLw4cPyPpcfo2Ufrm+6UQsXLsTkyZNbrSeuVepqNm/ejPj4eNx///0IDg7GiBEj8M9//lPefvbsWRQUFNitN19fXyQmJtqtWT8/P8THx8v7TJw4EUqlEvv27ZP3GTNmDNRqtbxPUlISjh8/jrKyso5+mdRDjBo1Crt378aJEycAAFlZWfjmm29w5513AuB6bYuLoxvoCUpKSmC1Wu3+YQaAkJAQHDt2zEFdkbOx2Wx48sknccstt2DIkCEAgIKCAqjVavj5+dntGxISgoKCAnmfttZuy7ar7VNZWYmLFy/C3d29I14S9TBpaWk4ePAg0tPTW23jWqWu5syZM1ixYgUWL16M559/Hunp6Xj88cehVqsxZ84cec21td4uX4/BwcF2211cXODv72+3T2RkZKtjtGzr1atXh7w+6lmee+45VFZWIioqCiqVClarFa+88gpSUlIAgOu1DQxBRD3EwoULkZOTg2+++cbRrRC1YrFY8MQTT2DXrl1wc3NzdDtE12Sz2RAfH48///nPAIARI0YgJycH7733HubMmePg7ojsrVmzBqtWrUJqaiqio6ORmZmJJ598EuHh4VyvV8DT4dpBYGAgVCpVq7sYFRYWIjQ01EFdkTNZtGgRtmzZgj179kCr1cr10NBQNDQ0oLy83G7/y9dmaGhom2u3ZdvV9vHx8eFv1um6HDhwAEVFRYiNjYWLiwtcXFzw5Zdf4m9/+xtcXFwQEhLCtUpdSlhYGG666Sa72uDBg2E2mwH8uOau9m9/aGgoioqK7LY3NTWhtLT0htY10bU888wzeO6555CcnIyhQ4fiwQcfxFNPPYVly5YB4HptC0NQO1Cr1YiLi8Pu3bvlms1mw+7duzFy5EgHdkY9nRACixYtwoYNG/D555+3GlHHxcXB1dXVbm0eP34cZrNZXpsjR45Edna23V98u3btgo+Pj/wGYOTIkXbHaNmH65uu14QJE5CdnY3MzEz5Kz4+HikpKfL/51qlruSWW25p9ZEDJ06cQO/evQEAkZGRCA0NtVtvlZWV2Ldvn92aLS8vx4EDB+R9Pv/8c9hsNiQmJsr7fPXVV2hsbJT32bVrFwYNGtStTi0ix6qtrYVSaf+2XqVSwWazAeB6bZOj78zQU6SlpQmNRiM++OADceTIEfHoo48KPz8/u7sYEbW33/zmN8LX11d88cUX4vz58/JXbW2tvM+vf/1rIUmS+Pzzz8X+/fvFyJEjxciRI+XtLbcdnjRpksjMzBTbt28XQUFBbd52+JlnnhFHjx4V77zzDm87TL/Y5XeHE4JrlboWk8kkXFxcxCuvvCJOnjwpVq1aJTw8PMRHH30k7/Pqq68KPz8/sWnTJnHo0CFxzz33tHnL4REjRoh9+/aJb775RgwYMMDulsPl5eUiJCREPPjggyInJ0ekpaUJDw+PbnnLYXKcOXPmiIiICPkW2evXrxeBgYHi2WeflffherXHENSO3n77bSFJklCr1UKv14vvv//e0S1RDwegza+VK1fK+1y8eFH89re/Fb169RIeHh7ivvvuE+fPn7c7zrlz58Sdd94p3N3dRWBgoHj66adFY2Oj3T579uwRw4cPF2q1WvTt29fuOYh+jp+GIK5V6mo++eQTMWTIEKHRaERUVJT4xz/+YbfdZrOJF198UYSEhAiNRiMmTJggjh8/brfPhQsXhMFgEF5eXsLHx0fMmzdPVFVV2e2TlZUlbr31VqHRaERERIR49dVXO/y1Uc9SWVkpnnjiCSFJknBzcxN9+/YVL7zwgt2trLle7SmEuOyjZImIiIiIiHo4XhNEREREREROhSGIiIiIiIicCkMQERERERE5FYYgIiIiIiJyKgxBRERERETkVBiCiIiIiIjIqTAEERERERGRU2EIIiIiIiIip8IQREREREREToUhiIiIiIiInApDEBERERERORWGICIiIiIicir/H/lf2GkFBU5MAAAAAElFTkSuQmCC\n",
"text/plain": "<Figure size 1000x400 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1000x400 with 2 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
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"metadata": {},
"id": "3261e3c2",
"cell_type": "markdown",
"source": "### Channel s-Frequency Response\n\nThey don't show us what these two channels look like in the frequency domain, before and after applying the _Bilinear Transform_.\nLet's take a look for ourselves...\n\n**Note:** At this point we have a problem, because Morales and Agili are working in _normalized_ time/frequency and don't tell us their normalization constant.\nSo, we have to guess.\nBut, how do we do that?\n\nWe start by guessing the bandwidth of the channel they're describing, as this tells us what the \"1\" in the denominator of the left term in their sums is equivalent to.\nI'm just going to guess that it has the same bandwidth as my original Touchstone data: about 20 GHz.\n\nNext, we note that they've expressed the _phase delay_ of a _round trip_ through their channel as: $e^{-6s} = e^{-j 2 \\pi \\cdot 6 f'}$, where $f'$ is normalized frequency in units of the channel bandwidth, which I've guessed to be: 20 GHz.\nThat means that a _single pass_ through their channel represents one cycle of delay at:\n\n$$\n\\begin{eqnarray}\n3 f'_{2 \\pi} &=& 1 \\\\\nf'_{2 \\pi} &=& \\frac{1}{3} \\\\\nf_{2 \\pi} &=& \\frac{1}{3} \\cdot 20 GHz = 6.667 GHz\n\\end{eqnarray}\n$$\n\nThis gives us a _channel propagation delay_ of: $\\tau_d = \\frac{3}{20 GHz} = 150 ps$ \nand, assuming a _propagation velocity_: $\\nu = \\frac{1}{2} c$, a physical channel length of: $l = \\nu \\tau_d = 22.5 mm$, which falls right in the middle of the typical length range for XSR links: 10 - 50 mm.\n\nRecasting their frequency domain channel expressions, using both our correction to their second term and our guess as to their chosen normalization constant:\n\n$$\n\\begin{eqnarray}\nH(s) &=& K \\frac{0.98}{s + 2 \\pi \\cdot 20 GHz} + K^2 \\frac{0.02 e^{-6E^{-10} j \\pi f}}{(s + 2 \\pi \\cdot 20 GHz)^2} \\qquad \\text{(causal)} \\\\\nH_1(s) &=& K \\frac{0.98}{s + 2 \\pi \\cdot 20 GHz} + K^2 \\frac{0.02 e^{+6E^{-10} j \\pi f}}{(s + 2 \\pi \\cdot 20 GHz)^2} \\qquad \\text{(non-causal)}\n\\end{eqnarray}\n$$\n\nwhere $f$ now has units of Hz."
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-30T01:18:24.417351Z",
"start_time": "2023-01-30T01:18:24.120157Z"
},
"trusted": true
},
"id": "d6ec6527",
"cell_type": "code",
"source": "def calc_chnl_H(s, td=150e-12, fc=20e9, R=-0.02, causal=True):\n \"\"\"Calculate channel frequency response for a particular s-vector.\n \n Note the slight mathematical change, relative to the original\n prescription of Morales and Agili, to be more physically correct.\n \n Args:\n s ([complex(float)]): Array of complex floats.\n \n KeywordArgs:\n td (float): Single pass time delay of channel (s).\n Default: 150 ps.\n fc (float): Low pass filter corner frequency (Hz).\n Default: 20 GHz.\n R (float): Reflection coefficient looking into Rx term.\n Default: -2%.\n causal (bool): Set to `False` for non-causal response.\n Default: True.\n \n Returns:\n [complex(float)]: The (complex) channel frequency response\n for the given `s` values.\n \n Notes:\n 1. Channel is modeled as single pole low pass filter.\n 2. Complete return of reflected energy by driver is assumed.\n 3. Only one round-trip reflection is tallied.\n \"\"\"\n if causal:\n a = -1\n else:\n a = 1\n p = -2 * np.pi * fc\n H0 = -p * (1 + R) / (s - p) * np.exp(a*s*td) # single pass response\n return H0 - R * H0**2\n\nH = calc_chnl_H(s)\nH1 = calc_chnl_H(s, causal=False)\n\nplt.figure(figsize=(10,4))\nplt.subplot(121)\nplt.semilogx(fp/1e9, 20*np.log10(np.abs(H[:len(fp)])), label=\"causal\")\nplt.semilogx(fp/1e9, 20*np.log10(np.abs(H1[:len(fp)])), label=\"non-causal\")\nplt.title(\"Frequency Response - Magnitude\")\nplt.xlabel(\"Frequency (GHz)\")\nplt.ylabel(\"Mag.(H) (dB)\")\nplt.grid()\nplt.legend()\n\nplt.subplot(122)\nplt.semilogx(fp/1e9, np.unwrap(np.angle(H[:len(fp)]))*180/np.pi, label=\"H\")\nplt.semilogx(fp/1e9, np.unwrap(np.angle(H1[:len(fp)]))*180/np.pi, label=\"H1\")\nplt.title(\"Frequency Response - Phase\")\nplt.xlabel(\"Frequency (GHz)\")\nplt.ylabel(\"Phase(H) (deg.)\")\nplt.grid()\nplt.legend()\n\nplt.show()",
"execution_count": 11,
"outputs": [
{
"data": {
"image/png": 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