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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"<div align=\"right\"><i>COM418 - Computers and Music</i></div>\n",
"<div align=\"right\"><a href=\"https://people.epfl.ch/paolo.prandoni\">Paolo Prandoni</a>, <a href=\"https://www.epfl.ch/labs/lcav/\">LCAV, EPFL</a></div>\n",
"\n",
"<p style=\"font-size: 30pt; font-weight: bold; color: #B51F1F;\">Non-Harmonic Distortion in a Quantized Sinusoid <br> (Tsividis' Paradox)</p>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import scipy.signal as sp\n",
"import scipy.special as ss\n",
"from scipy.io import wavfile\n",
"import IPython\n",
"import ipywidgets as widgets"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"plt.rcParams[\"figure.figsize\"] = (14,4)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"# helper functions\n",
"\n",
"def play_sound(SF, s, volume=1):\n",
" # play a sound with a volume factor\n",
" x = np.copy(s) * volume\n",
" return IPython.display.Audio(x, rate=SF, normalize=False) \n",
"\n",
"def stem(x, color='tab:blue'):\n",
" # stem with chosen color\n",
" markerline, stemlines, baseline = plt.stem(x, use_line_collection=True, basefmt='k');\n",
" markerline.set_color(color)\n",
" stemlines.set_color(color)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Your classic A/D converter\n",
"\n",
" * $x(t)$ bandlimited to $F_s/2$\n",
" * sample at $F_s$ Hz\n",
" * uniform quantization with $M$ levels\n",
"\n",
"<center>\n",
"<img src=\"img/sbq.png\" style=\"width: 1200px;\"/> \n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Uniform scalar quantization\n",
"\n",
" * $M$-level uniform scalar quantizer: $q: \\mathbb{R} \\rightarrow \\{\\hat{x}_0, \\ldots, \\hat{x}_{M-1}\\}$\n",
" \n",
" * non-overload region: $[-1,1]$\n",
" * quantization step: $\\Delta = 2/M$ "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def quantize(x, M):\n",
" if M == 0:\n",
" return x\n",
" elif M % 2 == 0:\n",
" # using a mid-riser quantizer\n",
" M = M / 2\n",
" k = np.floor(x * M)\n",
" k = np.maximum(np.minimum(k, M-1), -M)\n",
" return (k + 0.5) / M\n",
" else:\n",
" # using a deadzone quantizer\n",
" k = np.round(np.abs(x) * M / 2)\n",
" k = np.minimum((M - 1) / 2, k)\n",
" return (np.sign(x) * k / M * 2 )"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
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\n",
"text/plain": [
"<Figure size 1008x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.arange(-1, 1, .01)\n",
"for ix, M in enumerate([2, 3, 8]):\n",
" plt.subplot(1, 3, ix+1)\n",
" plt.plot(x,x); \n",
" plt.plot(x, quantize(x, M), '.');"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## High-resolution hypothesis\n",
"\n",
"<center>\n",
"<img src=\"img/linearized.png\" style=\"width: 1200px;\"/> \n",
"</center>\n",
"\n",
" * $e[n]$ white noise uncorrelated with $x[n]$\n",
" * $\\sigma_e[n] = \\Delta^2/12$\n",
" * $\\mathrm{SNR} = 6M~\\mathrm{dB}$\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Tsividis' paradox\n",
"\n",
"\n",
"<center><img src=\"img/sbq.png\" style=\"width: 800px;\"/></center>\n",
"\n",
" * sampling and quantization are memoryless: they can be swapped\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Tsividis' paradox\n",
"\n",
" * sampling and quantization are memoryless: they can be swapped\n",
"\n",
"<center>\n",
"<img src=\"img/sbq.png\" style=\"width: 800px;\"/> \n",
"<img src=\"img/qbs.png\" style=\"width: 800px;\"/> \n",
"</center>\n",
"\n",
"<center>\n",
"but $\\mathcal{Q}$ discontinuous so $\\hat{x}(t)$ no longer bandlimited $~~\\Longrightarrow~~$ aliasing!\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Harmonic vs non-harmonic distortion\n",
"\n",
"Consider a musical note with fundamental frequency $f_0$:\n",
"\n",
" * **harmonic distortion** modifies the spectral content at integer multiples of $f_0$ <br />(typical of \"natural\" saturation/clipping)\n",
" * **non-harmonic distortion** introduces spectral lines elsewhere <br />(typical of aliasing)\n",
" \n",
"\n",
"Long story short:\n",
" * harmonic distortion: bearable, if we really have to\n",
" * non-harmonic distortion: unbearable because totally unnatural"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Harmonic vs non-harmonic distortion: example\n",
"\n",
"<br />\n",
"progressively harder clipping vs progressively coarser quantization"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fs, A, B, M = 8000, 3, 31, 9\n",
"x = np.zeros(M * fs)\n",
"\n",
"# progessively harder clipping\n",
"for n in range(M, 1, -1):\n",
" x[(M-n)*fs:(M+1-n)*fs] = np.clip(np.sin(1 + (2 * np.pi / B) * A * (np.arange(0, fs) % B)), -n/M, n/M) * M / n\n",
"play_sound(fs, x, volume=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# progressively coarser quantization\n",
"for n in range(M, 0, -1):\n",
" x[(M-n)*fs:(M+1-n)*fs] = quantize(np.sin(1 + (2 * np.pi / B) * A * (np.arange(0, fs) % B)), 2**n)\n",
"play_sound(fs, x, volume=0.3)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Ravel's Bolero"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Ravel's Bolero\n",
"\n",
"<center>\n",
"<img width=\"800\" src=\"img/bolero_diff.jpg\">\n",
"</center>\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def play_quantized(excerpt, levels):\n",
" SF, s = wavfile.read('snd/' + excerpt + '.wav')\n",
" return play_sound(SF, quantize(s / 32767, levels))\n",
"\n",
"audio_files = ['boleroA', 'boleroZ']\n",
"def multiplay_quantized(file_list, levels=None, description=None):\n",
" outs = [widgets.Output() for f in file_list]\n",
" for ix, file in enumerate(file_list):\n",
" with outs[ix]:\n",
" if levels is not None:\n",
" M = levels[ix]\n",
" quant = str(M) + ' levels'\n",
" else:\n",
" M = 0 \n",
" quant = 'full res'\n",
" print(description[ix] if description is not None else file + ', ' + quant)\n",
" M = 0 if not levels else levels[ix]\n",
" display(play_quantized(file, M))\n",
" return widgets.HBox(outs)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0ee33802e780483e954aa7b9c9ab222f",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"HBox(children=(Output(), Output()))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"multiplay_quantized(['boleroA', 'boleroZ'])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Ravel's Bolero\n",
"\n",
"<br /><br />\n",
"<center>\n",
"<img width=\"1200\" src=\"img/bolero_wav.png\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Ravel's Bolero\n",
"\n",
" * live performances have an dynamic range of 100dBs or more\n",
" * 16-bit audio covers about 96dBs\n",
" * ... but vinyl is no better: about 70dB dynamic range"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Aside #1: oreloB\n",
"\n",
"<img width=\"480\" style=\"float: right;\" src=\"img/orelob.jpg\">\n",
"\n",
"Bolero is much louder at the end but vinyls suffer from _end of side_ distortion:\n",
" * rotational speed constant, but inner grooves shorter\n",
" * reading speed gets slower\n",
" * recorded wavelengths become shorter<br/> and comparable to stylus size\n",
" * groove slope gets too steep for tracking\n",
" \n",
"Solution: oreloB, a vinyl that plays backwards"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Back to Ravel's Bolero on CD\n",
"\n",
"<img width=\"600\" style=\"float: right;\" src=\"img/bolero_wav.png\">\n",
"\n",
" * clearly the beginning spans a much smaller<br />number of quantization levels than the end\n",
" * the high-resolution hypothesis may not hold"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "37e465d5a87e467fb8f0639b767c59dd",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"HBox(children=(Output(), Output()))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"multiplay_quantized(['boleroM', 'boleroM'], levels=[2**16, 2**8])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "9b00c5460aef4b8e81e80dad43b26875",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"HBox(children=(Output(), Output()))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"multiplay_quantized(['boleroA', 'boleroA'], levels=[2**16, 2**8])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Numerical Experiments"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Quantizing a sine wave\n",
"\n",
"(the opening flute in the Bolero is close to a pure sinusoid)\n",
"\n",
" * conventional setup: sampling followed by quantization\n",
" * $x(t) = \\sin(2\\pi f_0 t)$, sampled at $F_s$ and $f_0 = \\frac{A}{B}F_s$ with $A$ and $B$ coprime <br/>\n",
" \n",
" * $x[n] = \\sin\\left(2\\pi\\frac{A}{B}n\\right)$\n",
" \n",
" \n",
" * $x[n]$ will be periodic with period $B$ and it will span $A$ cycles over $B$ samples\n",
" * natural Fourier representation: DFS\n",
" * $\\mathbf{X}\\in \\mathbb{C}^B$\n",
" * single nonzero coefficient $X[A]$"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def quantized_sinusoid(A, B, M=0, initial_phase=1):\n",
" # add an initial phase non commensurable with pi to eliminate quantization of zero values\n",
" x = np.sin(initial_phase + 2 * np.pi * ((A * np.arange(0, B)) % B) / B)\n",
" qx = quantize(x, M)\n",
" return {\n",
" 'original' : x, \n",
" 'quantized' : qx, \n",
" # square magnitude of the normalized DFS for positive frequencies\n",
" 'DFS' : (np.abs(np.fft.fft(qx))[:int(np.ceil(B/2))] / B ) ** 2 \n",
" }\n",
"\n",
"stem(quantized_sinusoid(3, 17)['DFS'])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Introducing quantization\n",
"\n",
" * $\\mathbf{x} \\rightarrow \\hat{\\mathbf{x}}$\n",
" * $\\hat{\\mathbf{x}}$ still periodic with a period of $B$ samples\n",
" \n",
"\n",
" * harmonic distortion will affects the DFS coefficient whose index is a multiple of $A$\n",
" * non-harmonic distortion will affect the other coefficients\n",
" \n",
" \n",
"First note in the Bolero is a $C_5$, i.e. 523.25Hz. \n",
"\n",
"At $F_s=44.1$KHz we can pick $B=257$ and $A=3$. "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def find_nhd(A, dfs, full=False):\n",
" # zero out harmonic components to highlight non-harmonic content\n",
" N = int(np.ceil(len(dfs) / 2)) if full else len(dfs)\n",
" nhd = np.copy(dfs[:N])\n",
" nhd[::A] = 0\n",
" return max(nhd), nhd"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def show_nhd(A=3, B=257, M=2):\n",
" s = quantized_sinusoid(A, B, int(M))\n",
" peak, nhd = find_nhd(A, s['DFS'])\n",
" \n",
" plt.subplot(1, 2, 1) \n",
" plt.plot(s['original']);\n",
" plt.plot(s['quantized']);\n",
" plt.title('signal')\n",
" \n",
" plt.subplot(1, 2, 2) \n",
" stem(s['DFS'])\n",
" plt.title('DFS')\n",
" \n",
" plt.figure()\n",
" stem(nhd)\n",
" plt.ylim(0, 0.0002)\n",
" plt.title('non-harmonic components, max=' + str(peak))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0397481d06434864a925986a6470da4a",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=3, description='A', max=11, min=1), Dropdown(description='M', options=('…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(widgets.interactive(show_nhd, M=widgets.Dropdown(options=['2', '3', '4', '128' ]), A=(1, 11), B=widgets.fixed(257)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Searching for the worst case\n",
"\n",
" * try to get a sense for how bad non-harmonic distortion can get\n",
" * let's iterate over all non-reducible $A/B$ ratios between $0$ and $1/2$ \n",
" \n",
" \n",
"**Farey sequence** of order $N$ is the sequence of _non-reducible_ fractions in the unit interval with denominator smaller or equal than $N$"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def farey_sequence(n):\n",
" \"\"\"Build the order-N Farey sequence up to 1/2.\"\"\"\n",
" farey = []\n",
" (a, b, c, d) = (0, 1, 1, n)\n",
" while (c <= n):\n",
" k = (n + b) // d\n",
" (a, b, c, d) = (c, d, k * c - a, k * d - b)\n",
" farey.append((a, b))\n",
" if a/b >= 0.5:\n",
" break\n",
" return farey\n",
"\n",
"\n",
"for (a, b) in farey_sequence(50):\n",
" plt.plot(b, a, 'o', color=plt.cm.tab20b(a % 20))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def find_max_nhd(N, M=2, parametric=False):\n",
" max_value = (0, 0, 0)\n",
" for (A, B) in farey_sequence(N):\n",
" peak, _ = find_nhd(A, quantized_sinusoid(A, B, M)['DFS'])\n",
" plt.plot(B if parametric else (A / B), peak, 'o', color=plt.cm.tab20b(A % 20))\n",
" if peak > max_value[0]:\n",
" max_value = (peak, A, B)\n",
" plt.title(f'max value is {max_value[0]}, frequency {max_value[1]}/{max_value[2]}')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Non-harmonic distortion for Farey ratios\n",
"\n",
"Maximum square magnitude of non-harmonic DFS coefficient as a function of $B$ and parametrized in $A$\n",
"\n",
"![title](img/nhd.png)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(100, 2, parametric=True)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(100, 3, parametric=True)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(100, 32768, parametric=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Let's also look at the non-parametrized plots. \n",
"\n",
"The reason for the step-ladder patterns will be hopefully clear by the end."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(150, 2)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(150, 3)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Theoretical Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Some DSP archeology \n",
"\n",
"Here is a really interesting paper from 1947\n",
"\n",
"<center>\n",
"<img width=\"1200\" src=\"img/cpg_title.jpg\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## For context, in 1947...\n",
"\n",
"<br /><br />\n",
"\n",
"<center>\n",
"<img width=\"800\" src=\"img/transistor.jpg\"> \n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Some DSP archeology \n",
"\n",
"My second favorite quote of the paper:\n",
"\n",
"<center>\n",
"<img width=\"600\" src=\"img/cpg_quote2.jpg\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Some DSP archeology \n",
"\n",
"My favorite quote of all time:\n",
"<br /><br /><br />\n",
"\n",
"<center>\n",
"<img width=\"600\" src=\"img/cpg_quote.jpg\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Quantization before sampling \n",
"\n",
"\n",
"<center>\n",
"<img src=\"img/qbs.png\" style=\"width: 800px;\"/> \n",
"</center>\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t = np.arange(0, 2 * np.pi, 0.001)\n",
"plt.plot(t, quantize(np.sin(t), 15));"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Quantization before sampling \n",
"\n",
"<img width=\"300\" style=\"float: right; margin: 10px;\" src=\"img/clavier.jpg\">\n",
"\n",
"Fundamental idea: \n",
"\n",
"\n",
" * decompose this piecewise-constant periodic <br /> waveform as the sum of $N$ pairs of rectangular steps <br /> of appropriate width\n",
" * express $\\hat{x}(t)$ using a Fourier series expansion:\n",
"\n",
"<br /><br />\n",
"$$\n",
" \\hat{x}(t) = \\sum_{h=1}^{N} \\sum_{k=0}^{\\infty} \\frac{4}{\\pi N (2k+1)} \\cos\\left[(2k+1)\\arcsin\\left(\\frac{2h-1}{2N}\\right) \\right]\\sin((2k+1)t)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def quantized_sinusoid_fs(N, terms=1000):\n",
" t = np.arange(0, 2 * np.pi, 0.001)\n",
" x = np.zeros(len(t))\n",
" for h in range(1, N):\n",
" for k in range(0, terms):\n",
" x = x + np.cos((2 * k + 1) * np.arcsin((2 * h - 1) / N / 2)) * np.sin((2 * k + 1) * t) / (2 * k + 1)\n",
" x = x * 4 / np.pi / N\n",
" return t, x\n",
"\n",
"\n",
"plt.plot(*quantized_sinusoid_fs(8));"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Fundamental intuition:\n",
"\n",
" * $q(\\sin(t))$ **contains harmonics at all odd multiples of the fundamental frequency** \n",
" * quantization of a continuous-time sine wave produces only harmonic distortion\n",
" \n",
" \n",
" \n",
" * NHD is given by spectral lines beyond the Nyquist frequency aliased by the sampler"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## More recent times\n",
"\n",
"Moving on to Robert Gray's 1990 paper [\"Quantization Noise Spectra\"](https://ieeexplore.ieee.org/document/59924):\n",
"\n",
" * consider the expression for the _normalized quantization error_\n",
"$$\n",
" \\eta(x) = \\frac{q(x) - x}{\\Delta} = \\frac{q(x) - x}{2/M} \\quad \\in [-0.5, 0.5].\n",
"$$\n",
" * $\\eta(x)$ is a periodic function with period $M/2$\n"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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AGCrJnDqugTgCwkqc5HFNLmNMjd/T30QtfXSklN+QUr5bSvlrUso/aez7IynlvYrnnmv9bs4sTKT9ZnyCYpT4O58MLkpGZ/I6669rFoDTR+h/pAD0BufzyRnbkBIgBjwgb63aBLnq9PhOQ6WsS0LEBYgpD0jyuAWKY7KUdQpDJaaxZGV829MS01qETm5olUjfd72T4RAFFKPEV06tV6Wd7fkEgMkrACyeM6RG78sDFIAUgAQAEISQw0F8n2YPyCwD1SkrpayteTMcxDHpo0od11Ap62YBYvLuXl3E+19iur+EDqBOpKvHeWXWFyhGia8kqgMyeW2w6UoAiSUS+3/gZCheQQFIGhTJA+IqjlEPiCUfFVacEt825KNqvosYYcBHhSCEtOCjykr/CZ3xCaA0twRlrpzgrU6GQxRQjBJf6cPkte0a7/EJiKafkvr39RgFIAUgmcWgNyOWzNID0huWfFTYsh02fFQIQkgLPioAGLDlo8pA/wkdALjwpnQiDfY68AaKUeIrTF7VLF4aPewbAdguw6MAJLO48oC8/qyZOEny7gGx5KNCEAKr7fioBormo8pAfwqdcgVYMBRtziXSf+liNIVG2VSvEyhGiY/0cfIqYr+aCVQCcJ+bmjM2aVtMsg8FIFGQ9IAY8GYICGDmWHznC3u0z01CCKMekNgFBMMeECll/bhBCIyY81E150FixpyPqu4fFerj6owjmyrp5qCXTn8KHQC44EZFIi2BOy9xNqQi00Fx6TgtxaiBqyyEdAOT1zTjE2n/Um2qLwTgvPSpACQJbHkzzrwcQEIYGDOhm/WARAJktR0PiBg266OKLorQR2Wd/hU65QowFO/wKwFg725HAyIplGIUFKPELZuujJ2XAIDn+jyhBxRXeUEBSAFIAGDLdkgb3oxyBdXRxNIoQyZ0rDu7hyuY3SNGitNLJ3lcaTOOKXLQS6d/hQ4AbNuZTlgAJtK+UK4AwycDmCvpSzFKnDM+ASSXr8kZlkA/9zMUgCooAEkQojZ6WnyfIW/G4NCwFW9Gailr3j0gtnrcJI9LH5Vx+lvoBCGwZhMAJtLe8u/3qC8a3Xae7ZEQMsequaQlOj8futnJULyhXImVhqcAbEABSAAMymn2uMkYpxA9biz4qACwl04T/S10AODq3UykfWdD/bOIidEDj3H5B3HHhz+fTl7f+JWjwXjEyo3RQwrABhSABKA3Q0McAPnvcVMgHxUAIAghVo/FRbxnvXQodAAm0r5z+d2x2+TRo11XOBkOIQhCYGAw2qwnr9VCJq9tyyg3kxCAEiisAOxq3TsFIDHmAUmciQ48IEYpWo8biz4qsW6zFR8VRtbFtz3rpUOhAzCRNkhXSdJ8jF1aP97scQHg8AGKUeKO0VOjh/2QvLYtpQykBCCAwgrArugjAUhaYNgDEn0/DXlAZn/LW04DmjwgqZThjG3pQg6aqq9KNL1vQYjqSjM+qmQeZMpHJaWcf57WFQcyfh543kuHQmcWJtJ+s3UHxSjxC1Xyemi/u/H4Qh8JwHl7CzVDAUjoAemNIIQcXhvfp7HHTTODNfqossYx6qPqEQqdWVol0ju3ORlO0ejoanA7xi5NJ5YUo8QVQQiUkuvFa2xqSwGoRiUAH/yck6EQB9AD0hWiKWkojZxstMdNy+NqjCPmGz99VEah0GlGlUgfPcirbr6wdQdAMUp8YuNHACSSikd3OBuOF1AAqlEJwCMvuRsPsYtFD0htVaLJZt49IA563NiKQx+VeSh0mtm6I1YdJ/r+3n+Dk+EQBRSjxCe27qjPE43JQgLA9BF34/EFCsA0QaioRiQpAPuFIERtVcKEbqiXTmnxMiu9dFKwl07XcQDkv5eOQR+VDih0kmy+Np1IzxxlIu0LFKPENxYuSe/r9+SVAlDNb3wSAAVgv1KqTtEDkjEOe+l0gUUfFYaD+D5DPqpeoNBJMj6hTqTvu97JcIgCilHiE2ddBWCuPD2AQiWvsrtCynMUXADKXkpKjk9QAPYzBrwZytPQlQfElDcjOf7atJk4KR/Vc/RRdcjASGDHR9UDFDoqVIl09XihfqRzDcUo8YnZ5LUBk9cGKgH4yF+7Go0/FFwAEr+QAHD8DQ3HUSiqpAdEgzdDeQEh6QF5da+WC5upUFu2R/ujOUvDEqzUKypXIJdviO/TsIwxFScIIVafrn0Zo7a2IZag0FExPgGUFkWbcyf8rU6Gk2eMfR8oRolPMHlNMz4Rq2RZ/44e88qkmpWeqklSAPYvBpdgxc5Fg0ujYnFsLY06o15wKCZAfninlkM3V3erl7I+Of4EQ0uwBkoLjCxjTE1JM1PxbV1xkoFsLWPsAQqdVlx4UzqRRpXJS4903G+iUyhGiU8weVWTSoQAPNDnc2gfCEDSAltleAuwNCqWSAchZLKSXKqwhx5MLcFK5UAOlhfaimO0lHUPUOi0olwBFgxFm0ykPYRilPgCk1c1534GQOLO7r5JJ0PxCpUA/PqnnAyFWMRWGd5yBTMrTovvM1RiGuvO1n9cBQPL18UFSIFKTNuKY3TFWXL8GpZL6oJCZz4uuJGJtM+0FKO3uBgN6XeYvKYpVyCafmYkANSmKABVAvDFJ50MhVik6Q6I6TK8g0PD8R2GSiULCDulrB2UmLYVRwL5LzHd9PsHoL5c0pMCURQ686FIpCUAPPyXjgZEUijFaA246xPOhkT6FCavapaMRg8pABuUKxBNBVUkAMgqBWDRCUJgxE4ZXnH0FZayzhinLkBYYrojDPqoskKh045EIl1HAnde4mY8JE65AgzNrQWNPqs9uxwNiPQtBU1eM1fYOfcz6Tm0AAIw8zKQ4ZOihxSA/YMY1usBaXkeFs2bYStOqsT0PpaY7oQgBFbb8VF1C4VOO1ol0nt3OxoQSbFtp0KMgmKU2IfJa5pyJVYOvigCMDPnXFdIAUja4MqbYctrYgpbHpAt2yGTywtNCJByBdXR0+P7cu6jEiOWfFRdQqHTCa0S6dvOczCYfGGl3noQAivqJs/ZqlcUo8QJquT1hSccDUYvPZVSnoUCMA0FYH+S9GZo8oCkqnolj5vRAzL7W952HsjoAWmZMhjwgEjIdD3YIERtNFHIIWOPm1bNhUsnLNPqb5ISyg9It49KNo6awpa/qUsodDohCIE1mwAkEukDj/FHyReueVRdwJpilNikXAEGBqPNyDPmiSnTGQUWgJmgAOw/kt4SekA6w6IHZFBOW/E3iaOvxHcUzd/kSS8dCp1OuXp37IpJ9GjXFU6GkzcyXQ3ulA11UUMxSpwShNHD6LR/8HNOhuINFIBqEgJQAhSARYcekI5Q3WkRq8fi/8GUB8SEv0mVAxXYRwXAXJ+oLqHQ6YaxSwEkfpQOH2Ai7QuX300xStxz/kQ6eT3ykrvx+AIFYJqEAKxDAVhotmxHqsS0IQ9IbaUdD4hYt1mdyOtmZF18u2g9bvLuo7LVJ6pLtAgdIcQHhBBPCyGeEUJ8WvHfPyWEeFII8RMhxLeFEOtUx/GerTvUifTObU6GQxRQjOae3M8nQQiUkleyJPtvUQCqoQDsL4IQ1ZV6PSCtKJ0wbKfHTZKi9bix9Xry3kvnjG3pQg6G+kR1Q2ahI+r1VL8I4EIAGwFsE0JsTDzthwDKUsr/DcDfAbgpa1xnjF2a/rE+epBX4HyBYjTXFGY+WVuOHkbn4OTtTobiDQUTgNoKrVAAGsXHCyeDNX0ekHnPw6L3uLH1euij6owghBxeG99nqE9UN+i4oxMCeEZKuVdKOQXgKwAubn6ClPJBKeXRxuYjABLvRI7YuiNWKSeaq+6/wclwiAKK0TxTjPlElbyaKoeaJygA0xRMAPqEtxdOHHgzbMUphAeEPqqeKY2crLVPlA50CJ2TADTL3f2Nfa34OID7NMR1x+Zr00nMzFEm0r5AMZpnijGfBCGwcElipwTu+oST4eggVb62FwomAIWuKisUgKbw88KJAQ+I8lTU6AGZ/c4q5wGNPW7mvUOl2QMiZysXJdHso2r5ksoV1Fbp81G1ejm6fVRSzlNgypa/qQt0CB3Vy1V+rkKIfw2gDOA/tvjvVwshJoUQky+/bEZtamF8gol0h8js/cN7g2I0rxRnPjnrKgCJH58n77E/Dp8ooADUQsEEoEdou3CidT4pmgfEQI8bJU13Jox6QIIwXcjBlI9qMX1UptEhdPYDCJq21wI4kHySEOJ8AH8A4CIp5XHVgaSUt0kpy1LK8ujoqIahGYSJtN+0EqP3Xe9kOKRjijOfjE/Ern5KAKgqh9pfUACmoQA0hbYLJ1rnk6J5QGz1uAlCyOEgvs+QB6RUm7LSS4c+KvPoEDrfB3CKEOKdQoiFAD4G4N7mJwghzgTwn1FPSorhsmQi3RU2Kk+mUInR6nGuffebYs0ni5el9/V78koBqIYC0ATaLpxopWgekCCEXDUW35e1x02LtVEDI4EdD4hmf1PLHIg+KuNkFjpSyhkA1wD4JoCnAOySUj4hhPhjIcRFjaf9RwBLAHxNCPEjIcS9LQ6XL5hI+834BFBaFG1GE83DtzoZDmlP4eaTTVcCYPKaggIwDQWgCfy8cGKxl05KgBgyoQ8sXxfP5gvU48ZWHKML/TX6qObFw146WvroSCm/IaV8t5Ty16SUf9LY90dSynsbj8+XUq6SUr6v8e+i+Y+YE5hI+8+FN6XFKKoUox5TqPmkAMmr1FZHuQmVAHz8Lv1xDGIkKaEA1Iq3F06CEDJpQu/RA9LOBzuweJkdD4iDHje24hj1USUx1eOmaD6qLtAidPoaJtJ+U64AC4aiTYpRYh0mr2nGJyCafn4kAMgqPY4FEIC+4euFk4EqPSBZ4xSil46tHjcF9FF1CoVOVlom0re4GA1RccGNFKPEHUxe1YzMVfGN3peHbnYyFG+gAOwf2EsncxwA+e+lY6vHjQkfVQus+ag6hEJHB8pEusarttDYPTwLCjEqAeDhv3Q0INJXFCR51dUyJuKc6wAkloAdTvnEvcZIkRUKwP5AY48bYJ5zUZMHJFrC2mn/lB49IG1bUmj0gNQvPrV4QTp9VPO9pCAE1p3d23GTYaScd57W56OS8899nvXSodDRQbkCDM0p1iiR3rPL0YBIioQYrSOBOy9xMx7SXzB5TVOuQAwMRpsSAGozuROA2jnnuvRclTMBSDrAVo+bJPSAdEYQAqvt9NIREPRRGYRCRxfbdioSaQC3nedgMB7ipL50E63E6N7djgZE+gomr2qWrYkeUgA2KFcACsDiY6vHTU49IC1ThiAERux4QMSMPh+VmO9WS4H9TT700qHQ0UUQAivqt1Rn1+JLADjwmPPSeqQBxShxBZNXNRSAaigAi4+tHjcWPSBYPRYXBoY8IGI4n710OolTCH9TMk5t2kycDqHQ0ck1j8a+e9HjXVc4GAxJEYTAmk0AKEaJA3KavBr12eVZAJp8YygAi0+5gurIhvi+HpZGtT0NgxBi9elWlkaJRYoKkwXBqt3YVI+bpFfGVI+bpI/q1b1O53QKHd2MXQYgUZjg8AEm0r5w9e6Y+ZBilFgjkbxKAHjjV+7G4ws5FYBGybMAJB0zOLjATonpman4NktMdx0HgLkS01zGaBQKHd1s3cFE2nfGLgVAMUosU64ApcRSAcky5xSALaAALD4sMZ05DoD8l5gu4DJGYWkZYydQ6JiAibTftBKjO7c5GQ7pI9aWo4fReTd5u5OhdIuxeiI5FoDaS243oxKAh/YbDEiso7EM77znooZS1rPnYVdlhXtZgtXJGjFdJaZlm/dNU4npti+pXEF1NFHhrUcBMu/nE4QQ6zZnnsxlu/cNAEbWxbcdlpim0DEBE+kIH9roKBm7NJ1EHD3IpSHELOdPpM87U+ux80SOBaAxEsvX6tRyIQBJhzR5ZWRi21QcAOZKWVssMS0tlZiurjwtvs9QienBoWE7JaaT9EGJaQodUzCR9putOwBRijaj+eX+G5wMh/QJQZi+ewHJ5JUCUM1pvwMgsaSl3wVgkSiaB+SMbZCw4M0IQsjhtfF9hkpMD9am7fioHPibbMVxXWKaQscUTKRjtOw+7JLN16aTq5mjFKPELBs/AiCRDDy6w9lwvIACUM3WHfVzpHGiUAAWjKJ5QIIQclViCVaP3sSIKE0AACAASURBVIx2S6NKIyfnqsR02wyIPipjUOiYhIm034xPUIwS+8wubW1OXqeP0MM3KwBBARhjcFFiBwVgYdDkAWlLuYLaqrH4PhMmdACl5evjWb0pb4ZGf5NvcXr1UXUbB4C5Cye6fFQaoNAxSatE+r7rnQyHKKAYJS5YPNdvIpoXHvAzebXms0t4G30XgNbel1MvjuJRABaMIEQteQekSw9Ip+dhafEyOx4QW94MB3Hoo+oCWz6qDqDQMY0qka4e5xU5X6AYJS7YdCWARJKy/wdOhuIVORKA1siZACTdUapO0QOSMQ576XSBrR43QQgMB/F9hnxU7aDQMc34BFCaW3oQnVgP3+pkOEQBxSixzfgERNP0Wz/njnmdvAqjtZQb5EwAWnMeUgAWF23ejDZnoy6vSbt5IGcekLbf4Zz5qNp+PkGYXsbYg4+qE9/1wEhgx0fVbhxOovYbF96UTqSRjz4RmZHWFnj0DsUoccHipdFDJq8NcigArZAzAUi6wJUHpEs6/inP6AHpeGwaPCCyk2gafFSykzevXIHM6KPq9DMqLV+XyUfV87ngqJcOhY4NyhVgwVC0OZdI3+JiNERFP4tR4gZV8rpv0slQvIICMA0FYHFJekBMeTOSPPtdM+ePRQ9ISoAY6qWTqiRnqJfOAH1URqDQscUFNyoS6Rpw1yecDckmNla9ZIJilNhmfCLtvahNMXlVCcDn+vw9ASgAi4otb0aTADFa4U2TB6Tt0qgghLTkARnQ4KPqKAeij8oIFDq2KFeAobn1iZHo2bPL0YBIij4Xo8QBqeQDTF5Vdy/kDCshUgAWE1s9bprugESYKDEdhMDq7B6QTrDmAXHQ48ZWnDz4qLJCoWOTbTtjiXQEE2k/oBgltjn3M+k5wbPk1YnNbtVp0cMoj3noZgcDaY3194UCsJiUK6iuSCyN6kKAdOT/AOoCZN3ZXQysd8RINg9IxxS9l44p+qyXDoWOTYIQWLom2mQi7SGtxOht5zkYDCk85UqsvDmT1wYf/nz6e/jGrxwNxiNyIABJ95SGlsV3GPIyNDcqNhmnyD1u6KPqAls+qjZQ6NjmsjuYSPtMKzF64DF6J4gZVm6MHjJ5bRCEwMBgtFkXgFUKQArAQiKOvlLYXjrscdMFOfNRtSUIgRH3vXQodGwThMCK+u282U7XTKQ9IyFGo4lg1xVuxkOKTSJ5lYCXyav1eiKjp6ZjeyYArfQWaoYCsJho8GZ0dCpm8mbUZ6iOzvgMr6erJaEZe9xI2eH7ltFH1fFLyuijkpCdfT4ZfVQSsuMCU2LYfS8dCh0XXPNo7HMvciKdgy46aYIQ2FC/wxZLPg8foBgl+kkkrwCYvAK5EYDWyYEAJF2S9GbY8pqYwpYHZMt2yIw9bjqiXEF1tHcfVccEIcS6zVauKhXORzUPFDquGLsMABNpb7n87lh5yyKLUeIBTF7TUACqoQAsHklvCT0gnRGEqI2eFt9nqMfN4NCwHX9TEvqoMkOh44qtO9SJ9M5tToZjGt/b6CgZuxQAxSixgCp5PbTf3Xh8QSUAH/yck6F4AwVg8aAHJEWnS6MG5XQu/E0d50D0UWmHQsclY5emk5ujB/mD5Qt9JkaJQ4IQKCV7DNSAb7nvqSNdLkBVCcAjL7kbTxNO3xcKwGJRwF46YvVYPLs31EuHPW6yx1Fu6yKjj0oHFDou2bojVlo2mhPuv8HJcIgCilFii40fAZBIdh7d4Ww4XhCEigRJeiEAneKxACQ9UK6gtrJYHhCMrItv590DQh9Vb2zZjlSJaRMifh4odFyz+dr0D9bMUSbSvkAxSmyxdUf9/GqcZBIApo+4G48v/MYnAVAAxqAALBylE+gByRrHVi8dAPRRdUoQorrSjo+qFVqEjhDiA0KIp4UQzwghPq3474uEEF9t/PfvCSHW64hbCMYn1In0fdc7GQ5RQDFqlb6eTxYuSe/zJHm1XUk5YnzCWwHo1Hs4KwBBATgfuZlPcuIB6XgeyIkHRHT6zuXER9Xx55PRR9XN3DdYs+SjakFmoSOEKAH4IoALAWwEsE0IsTHxtI8DeE1K+S4Afw7gz7LGLRSqRLp63JsEJwtd1cT3FYpRa/T9fHLWVQASyesjf+1qNP7gsQB0xqwAbOCTAPSFXM0nrjwgg0lvoJquf8uT469NdxanW+9bygPyXMcCpKtIGXxUXb13GXxUXcXJ4KPKfC5Y7qWj445OCOAZKeVeKeUUgK8AuDjxnIsB3NF4/HcA3i+sd1rzmPEJoLQo2ozemIdvdTIcoqDAYtQz+ns+GZ+IXWGsn2fHWOmPAlANBWA7cjmfGL0+mPRmvPC4mfll9D3x7Vf3mlkFsWU7gIQAefgv9McpV1BbviG+z8QSrCCEWH26nWWMi5aZOa5n6BA6JwFovle4v7FP+Rwp5QyAQwDenjyQEOJqIcSkEGLy5ZcNGPF85sKb0ok0qvzR8gWKUVtwPkktXQDwQJ/PAxSAaigA25Gf+cRWGd4clZjuiCCEHD45vu/gM/rjACiVFthZgjUzFd/2tGR2L3GMLmNsgQ6ho7rykbwg0clzIKW8TUpZllKWR0dHNQwtR5QrwIKhaLNoiXQhLrhTjNqA88m5nwGQeEH7Jp0MBfBo+alnAtCL94UCsB35mU96LMPb9XloscS0XDUW39dFieluMoaBkSD+P3hYkrmrHKjopaw7XC6pCx1CZz+AoGl7LYADrZ4jhBgEMAzgVQ2xi8UFNzKR9pmWYvQWF6MpKpxPyhWIpqlZAkBtismrZwLQG1QC8OufcjIUD8nPfGKrDG8QQp58tv7jKhhYvi4uQApUYtpWHKvLGE2VmE4uYzS1XLIFOoTO9wGcIoR4pxBiIYCPAbg38Zx7AVzRePxRALul9OJ6mF8oEmkJMJH2CaUYrQF3fcLZkAoG5xMAWDJ3xZjJawMKQDUqAfjik06G4iH5mU+CEHJVopeOoTK8A0LY8YA4KDFtK44EWGK6U5ruIkYi3oSPqgWZhU5jTes1AL4J4CkAu6SUTwgh/lgIcVHjaf8vgLcLIZ4B8CkAqRKPpEEika7DRNobyhVgaO42bPRZ7dnlaEDFgvNJg3M/k54HHCevXiw/9UwA+vCWoFyBaKoKKQFAVikAkb/5ZKA61bMHpKvvZwZvRsflmDPG6YoMHpCuvsM5KDHd1eeTwUfV1fkWhJDDQXyfIR+VCi19dKSU35BSvltK+WtSyj9p7PsjKeW9jcfHpJSXSinfJaUMpZR7dcQtJEyk/WfbToUYBcWoJjifoD4PMHlNoxKALzzhaDAeMTznr/dBAPpEruYTB96MTuP0dIurBw9IT/fSevSAdH3jrscS012XzO7RR9X1e9ejj6qXj8iaj0oV21ok0jmtEuk7L3EwmGwUbUURgHpX8qVrok2KUWIEJq9pyhVgYDDajJaO9nvz3nOuowAsAklvBj0gnWHLA1KuYGbFafF9hgo5YB19VLqg0PGRVon03t28ousLl92hFqO3nedgMKSQJJJXCTB5BerzY4Po9/nBzzkZijdQABaDpLeEHpDOsOgBGRwaju8w5AcSoI9KFxQ6vpJIpKPzfdcV6ud7jg9L2bXSSoweeIxilOghkbzWsZ+8endP9vyJtAA8Yr9Pknc3qykA808PHpCul0UBueil05V3JgiBETseEHH0lZ58VF3nQDnwN2WKY6pPlAIKHV8JQmDNJgCJH/TDB5hI+0LBxCjxECavaYIQKCXX4PPuhS8CkGSgRw9I11jspSNWj8Wz/C566XSDGPa/l06vcaz2uDEVp8c+UTqg0PGZq3fHKmhEj3ZuczIckiAIgQ31pWoUo8QIyuT1JXfj8YW15eghBWADCsD8U66gOpooMW1KgKzbbGepxci6+HbePSAOfFRGseWj2rId0kafKAUUOr4zdmk60Tl6kD9evnD53RSjxBzK5FWyiTAFoBoKwNwzODRsx5uRJO/ejGSPG1uvhz6qzghC1EYThRwM9YlKQqHjO1t3xMrMRvPf/Tc4GQ5RQDFKTKJKXidvdzIUb/BGAHrmPqQAzD89ejNseUC67h3lwAMCoGMPSNfvm++9dLp9QRl8VN0yKKd77hOVBQqdPLD52vSP18zRXCTSvvl1jUAxSkyiSl5NLS/IExSAabwRgKRnPPWA9Fx8o8seNz3nDD14QHqK1YOPqqf3rgcfVU+FKXrwUWk7Fyz10qHQyQPjE0ykfSfHYpR4ThACC5ckdko2qKUAVEMBmG+K5gGx1eNmy3akSkyb8ICUK6itpI+qJxz10qHQyQtMpP2mlRi973onwyEF46yrANS/99G59eQ9dmJ7V0e5gWMB6Om7QgGYd7r0gGj7eprygJyxLW1CN9HjJghRXWnHA1I6gT6qrHGM+qgSUOjkhZwn0l2v680jKjFaPc5lIyQ74xOxohfRudXvuBSAvsI7gPnGdw9ItwQhMLw2vq+DHjeih1sZgzVLHpBe/E295EAF7qUDwFovHQqdPMFE2m/GJ4DSomgzmtcevtXJcEjBWLwsva/fk1cKQDUUgPmlaL10AAyMnFzYHje24ljtpdPGR9UzjnrpUOjkCSbS/nPhTWkxiirFKMnOpisBJJLXx+9yNRp/oABMQwGYX8oV1FaNxffl3QPioMeNrThWfVSmlqAWzUeVgEInbzCR9ptyBVgwFG1SjBJtjE9ANE3ZEgBk1YpPz+ulpw4FoNfvCwVgbiktXta1B0TLudhJHB3H9ckD0ssbZ6uXTg89bnr6fJru7nXqo+rpfAvCdCEHC710KHTyRstE+hYXoyEqLriRYpSYYWRurXv03X/oZidD8QaHAtBreAcwvzjwZrSLI7NUPejCA6IrDoC2HpCeQ3Xpo+o5Tpc9bnqOE4SQw0F83zw+qp7KWDco1aas99Kh0MkjykS65uXVOl8LNhmFYpSY4pzrACQqfh0+4GQoXkEBmIYCML+48oCY8mYkx1+bNhMn5QF5zswSLFs+qiCETC5jbNPjplcGRoJi+aiaoNDJI+UKMDR3ckSiZ88uRwMiKXIkRkmOKFcgBgajTQkAtRmjyWsurlWcc13s+waAAhCgACwARsuDJz0gprwZSQ/Iq3vNzFlbtgNICBATpazLFcjlG+L7DC3BGkguYyRdQ6GTV7btTP+wA94m0r2Uisw1FKPEFMvWRA+ZvDYoVwDbAjAPt6spAPNJF0ujMp2GtkpMd7kEq2lA3RGEkMMnx/d1UMq6FwZKC7pagtVzDuThMkZdcYyWsm6CQievBCGwNJ7wMJH2jFZi9M5LHAyGFAYmr2ooANM4EIBEA0UrMR2EwGouwcpLnEKUsm6CQifPXHaHOpH+QuhgMCRFKzG6d7eV2vGkoDB5VZMQgBIA3viVu/H4AgVg/ihXUF2RqE5lSoCsO1v/cRWIkXVxAVKgEtO24hi9h1y0UtZNUOjkmSAE1mwCMFdZRwLAwaeZSPtCQoxG8/yuK9yMhxQDy8lrLhaelitAKXF1UJqtdpiL94UCMJeUhhLlwduUSu51aZSA6K6Uda8nvaclpnv+DifjmCoxneTZ786b3/VcZrzLUtY9x+mhlHVWKHTyztW7Y19UJtKekRCj0d/DByhGSe8weVWzthw9jObCydudDMUbHAhAkh1x9BU7ZXg79GZkvpvQoTcjs/WtyxLTPdNlieme6cJHlemt68ZHlSVQEAIjnZey1gGFThEYuwyAn4l0Duy65rl6d+xqW/Ro5zYnwyEFgMmrmvMn0gLQ1BKMPEEBmD/ozeiNVInpffkuMV1AH5UYtuSjakChUwS27mAi7Ttjl6YTsKMH6asgvcPkNU0QpgUgJAUgBWD+SHozbHlNTGHLm7FlO2RyaZQJAVKuoDpqx0cl1m22sk62cD6qBhQ6RYGJtN9s3QGIUrQZzSX33+BkOKQAWEpe81BFOcbGjwBIXGmlAKQAzBtJb0kLD4j2r2cbD0jPnLEtLUBMeDOCELXR0+L7DPW4GRwa7s7fpAsL/iZbcTrxUWWFQqco+J5I58K1a5jN16YT05mjFKOkN5i8qtm6oz7dNOYc3r1ooBKAj+5wNhzSBg89IJkIQsjhtfF983gzsqQMg3LaK38TkMG832WcTNjqcWPLR9WAQqdIMJH2m/EJv8UoyR+zySuYvMYYXJTYQQEYLXFuFoDTR7zwchIFRfOAACiNnMweNxnj0EfVPRQ6RaJVIn3f9U6GQxRQjBKdJPx5ppJXkelypANOvRgABWCKxXMli6P35YE+F4C+Uq6gtrJYHpDC97ihj6oztmxHqsS0CRHfgEKnaKgS6epxXs30BYpRohsmr2msCUCthzPPpisBJHwd+3/gZCikPaUTOveAaD0X54uTRRF56AHJ9L516KPSzjw+qkyfTxc+qkxxghDVlXZ8VACFTvEYnwBKc8s2olPx4VudDIcooBglOmHyqoYCMM34BETTz3597jnG5Wu+4sCb0SqOlqIkHnlApI4X1KGPKnOsTn1UWV9Shz4qHafCYM2SjwoUOsXkwpvSiTTc9NjQMpkUDYpRohMmr2ooANUsXho9pAD0HHpAeoO9dHqmcD4qZBQ6Qoi3CSG+JYT4eeNvaiGhEOJ9Qoh/EkI8IYT4iRDid7PEJB1QrgALhqLNuUT6FhejISo8EqO+wPkkAwaTV5nXtr+GBWBur+GoBOC+SSdDMUkh5pOkB0SBlouJSQ+IqSqFRfOAlCuorUo02aSPyq84yH5H59MAvi2lPAXAtxvbSY4CuFxKeRqADwD4CyHESMa4pB0X3KhIpGvAXZ9wNiTSBMWoCs4nvaJKXp/r8zs6AO9eqBifSPuXalNFvANYvPnEVI+bpqVRAOpLsEwUyGm6M2G8l86qRCEHQx6Q0uJl7KWTMY7pXjpZhc7FAO5oPL4DwEeST5BS/kxK+fPG4wMAXgIwmjEuaUe5AgzN3QqMRM+eXU6GkzvTrg0oRpNwPukV1d0LOcNqfhSAalJr/lFEAZj/+cRWj5szttWP3rwE64d36o8ThJDDQXxfi146WSs9lqpTXvXSyZwCsZdOz2QVOquklM8DQOPvyvmeLIQIASwE8IsW//1qIcSkEGLy5ZfNrD/sK7btjCXSEf2bSPuFZ2LUAzifZGHVXBWb6Ef1oZudDMUbKADVnPuZ9G9D8QRg/ucTW96MIIRMLsEaXKw/DoCBkaBYHhD6qHrDYi+dtkJHCPGAEOJxxb+LuwkkhHgHgL8FcKWUsqZ6jpTyNillWUpZHh3156JKbglCYOmaaJOJtIf0mRjlfGKQD38+fS698Ssth871DVmDAjBTiVWXlCuxMvd5FYCFn0+CEFh3tpVQA8vXxb/oLTwTmVdneOYByfwd7sBHpYUOfVSZP58OfVSZ41jspdNW6Egpz5dSnq74dw+AFxsTxOxE8ZLqGEKIZQC+DuAPpZSP6HwBpA2X3aFOpO+8xMFgSIo+E6OcTwwShMDAYLRZT16ruUtetWNQAOaalRujh3m9A9gP84mAsOMBaePN0FaUpF0cXWoh6QFJ9LgxVkxE4aPSEqoDH5WWz6gDH5WWAhhBCGnJR5V16dq9AK5oPL4CwD3JJwghFgK4G8CdUsqvZYxHuiUIgTWbAMx1CZcAsHe3w0GRGK3E6G3nORiMUzifZGX01OhhXpNX7VAAqkkIQAkUTQAWYz7xqJeO7jhGPSAd9rjJTB/7qLIyYMlHlVXo/CmAcSHEzwGMN7YhhCgLIf6m8ZzLAPw2gIoQ4keNf+/LGJd0w9W71TdnvxDaHglR0UqMHnisiJWQ5oPzSVYMJK+5LaPcjAEBmNuy27MkBCCAognAYswnbbwZ2s7ConlAitbjJgiB1fRR9UImoSOlfEVK+X4p5SmNv6829k9KKa9qPP6vUsoFUsr3Nf37kY7Bky7YUL87EEukDz7db4m0vyTEaPR41xWKJxcTzicaKH7y2hsqAXhov7vx+EKB7wAWZj4x2F9k3jh576VTrqC6IrE0ypQAseSjEiOd+agy45mPKitZ7+iQvHD53epEeuc2K+Fzatm1S5MYjf4ePkAxSrpDlbw++DknQ/GGIARKySvHtb5u0AuAAjCP9EkvHR05Q2loWXyHIX9TJz4qLS02itbjpo2PShcUOv3E2GXpH7WjB3m11xcuvztWAca2GCUFQZW8HlH6sPuLjfU2KrGlLI/ucDYcL6AA9J8CekDEyMlxYWDIAyKOvuJVLx2dcQrR48aSj4pCp5/YuiNWUjT6/t9/g5PhEAVjl1KMkmwEoWLttsyUvBai4e/WHfU5r/FaJABMH8l0yEK8LxSAftOhByTzuRiEEKvH4sJA4QHRcsoPr41vO/SAaPkOe+Rv0vJ6Uj1unksJEC3ngSUfFYVOv7H52nQiPXOUibQvUIwSHfzGJwHMefIAMHkFgIVL0vv6/e6FAQFINBKEEKtPt1NietGy9s/JKVZLh5jyNyU9LKb8TVu2QyIhQBTLCzNTrqA6siG+z0CJaQqdfmN8Qp1I33e9kXCFqNhkG4pRkpXxiVhexOS1wVlXAaAATEEB6DczU/FtF0uwdP6Wz7MES2s1w3mWYGlNTdoswdKWB7VZxqgtThBCLmtdYlrnezc4uMD48kIKnX5ElUhXj/OHzRcsi1FSUDQlr4W6VqFRABbqIo5KAD7y165GQ5LMtwRL53no0RIsLaSWYO0zcwekaKWsAZSWJ3xUOS4xTaHTj4xPAKVF0ebcrclbnQyHKKAYJVlh8qqGdy/SjE/ECqHU55tjrPjoC01LlmRi21QcAPkvMb1lO1IV3kwIkHIFtZV2SlmLdZvtlLEtUIlpCp1+5cKb0ok0qvzB9wWKUZIVJq9qKADVpJbFAHiAvwdekPTkGCrDa7PEtOygxHRmghDVlafF9xnwgABA6YRhOz6qJBZKP9uKY6qUNYVOv1KuAAuGos25RPoWI+FEIcoTWYZilGSFyWsaCkA1534GQGIl1L5JJ0MhCSyV4a0LEDslpjHc2gMC6KtoOFib9qLEtNB1G4alrLuGQqefueBGRSJdA+76hLMhkSYsi1FSQDQlr9p+pH1BJQC//iknQ/GGcgWiKSWQAFCbogD0gQ48IFouJgYh5Kqx+L5EiWldFy0HRgIvPCDaZjYLXpPkcVU+Km1zdRsflbaL1xZ8VBQ6/Uy5AgzNnczRabtnl4vREBUUoyQLTF7VqATgi092fZjC3aheMho9pAD0iHIFtaQAMWZCXxfP/nPszXAVx2idEvqouoZCp9/ZtlORSIOJtC8oxKgEKEZJ5zB5TVOuQDRVNpQAIKsUgJoEINFPafEyOx6QFt4M7cl7qzi6A7XwgEjTZROf/W40n2gtmT2Pj0rrK2qq8Jb0UWl964IQtVWJQg6afVQUOv1OEAJL10SbuhNprV/wfiUhRiMoRkknnPuZ9PnzwhMd/++FKqPczPBJ0cNeBGAh3xYKQH9p4c3Q/htLD0hvtOlxo40zttWPbsFHJdv4qHRRqk4Z9VFR6BDgsjuYSPuMYTFKCk65AgwMRpvR8sd+b0B7znWZBGBhySgAiSE88YCYiAMg/710bPW46cBHpQtffFRZodAhTKTzAMUoyUIQRg+j360HP+dkKN5AAaiGAtBP6AHpDVu9dIIQ8uSz9R9XwQB9VF1BoUPqtEqkbztPy+GL5tm1DsUoycL5E2kv3hEzZuZcQQGYhgIwHzR5QLRisZdOKw8IoLHQRxACq816QGYZEKKlj0pr4RIHPW5sxZGA9j5RFDqkThACazYBmGukJwHgwGNcn+0LrcToF0LFkwlpIgiBUnJpCJNXCsAWUAD6RwE9IBix4wERM2Y9IC2PW6A4Rn1UhvtEUeiQOa7eHZsLosc7tzkYDEnRSowefJpilLRnbTl62HXyWtRbshkFYOH6C82iFIAvuRsPaesB0XYmBiGwurUHROedCTHs3gOi9U6LBz4qo6+nyUeldebroE9UFih0SJwN9aVqsR+4owd55dcXKEZJrzB5VZNFABYVpQCUwLc+62Q4BPXPZJ0dD4gYKa4HRNqMY4qi+ajKFcysOC2+T2MhBwodEufyuyHE3GkRzXX339DT4QpbmtYlY5elE1aKUdKOHpPXwpeIVwrAF9v+b8b7cLhGJQAnb3cyFFJHoLUHRCsKb4aR013R48bItyr5el5/1s6s1vBRaX/vWviotM9JLXxUJt67waHh+A6N5zaFDkmz+ffSP/wzR5lI+8LWHUBTr4usYpT0EUxe0wShujxrv1c0VAlAU1eOSWcovBlGBEjRetwoPCBiv9lCDvRRdYc4+ooxHxWFDkkzPqFOpO+73slwiILN11KMku5h8qrmNz4JYM77BgB48h5Xo/GDIAQWLknslBSALnHV48ZUHEWPm0XPT+qPo/CAiB9/RX8ci710xOqxuDAw1EvHBx9VVih0iBpVIl09zjXavkAxSnqByaua8YlYYYFovut3zroKAAWgN5jylrSLY+piyJbtkImlUUt++jX9ccoVVEcTJaZN+BODEGLdZjvFW0bWxbfpo2oJhQ5RMz4BlBZFm9H39uFbezqc1kogpA7FKOkFJq9qFi9L76MApAD0mWe/i7e/9iP9x1V4QFb9fKf+OEGI2sq4CX3Bq/UeN7orGg4ODdvxNyVpxNGeA7nqcWPLF6axlw6FDmnNhTelE2lUmUj7gmYxSvqEHpLXvrhOselKAF0KwH54YygA/UHhAVm//+/r2zrPRYUHZNUzX2uKq4/B2nTsoAPHXtUcoUHC8yGOvlL/q1uBFK3HTSsfle4TwWAvHQod0ppyBVgwFG0ykfYQilHSC0xe0/DuhRqVAHziblej6W8UHpDFUwYSXIUHpJaq2KiJhBejuvhtVuLIobcbj2PVRzVo6PNR+KjWv/WE/jgGe+lQ6JD5ueBGJtI+01KM3uJiNCQvqJLXx+9SP7fgVZRjUACmGZ+AaEoVJADUptmk2AUOPSDTC0fMxEl4MWqLLXlALMSJxdONosfN+fORuwAAEoJJREFUu6ef0h9ny3YkS0yHh+7XH6dcQW1lwkelqZADhQ6Zn4yJdD/lSM5QitEaEzTSGlXyKqus2teFAOyruW1kbfQwel++/iknQyFxFk4dMnPghGdi8PjrxuNIAAPHbHlAnjMTJ8mz38VY7Wn9xz1jW6qQw8VHDBRyCEJUEz6qVcd/qT8OgNIJZnxUFDqkPUyk/aZcAYbmbmNH88SeXS5GQ/KCKnl96GYnQ/EGCkA151wHICHuXjCwfIW0J+GZWDRlSBgkPCALj9vxzgy++SszcRIekIGX9uDXxc/0x1H4qD5Y+47+OEEIDMd73JxUNfPeJX1US6qGqvAZ8jdR6JD2KBJpCTCR9oltOxViFBSjpDXnXBc7ZwAAhw84GoxHUACmKVcgmsrZRxe7+l0AuiDhAakNLDAepx5sxkychAdkweH9ZgSIwgPyO6WH9MdR+KjeJs3cDRsYife4eUMMG4mTPBfeLNmJo8vflEnoCCHeJoT4lhDi542/LRc9CiGWCSF+JYT4QpaYxBGJRDqCibQfBCGwdE20mUcxyvnEMuUKMDAYbda9FzNMXikA1QyfFD2kAHRIwgMycvhnZoRBwgMy9Oaz+NjAt/XH2bIdQFyAXF36B/1xyhXUlm+I7XoXDNwBCUKI1afHBMgyHNYfxynmF+7qjJD1js6nAXxbSnkKgG83tlvxHwD8r4zxiCsyJtK6a+ITBZfdkXcxyvnENsvi32kAyuS1r/pgdSEA++ltyZsALOyFk8TSKAGJ3yk9pP83VlFi+ndLD+qfC4IQcvjk2K53iueNzDml0oLYl3a5MCRAZqZim8vxBozMFomlXcvkIf3lshNxJOpL14zMfa1KWWckq9C5GMAdjcd3APiI6klCiE0AVgH4nxnjEZe0SqTvvMTBYEiK/N/V4Xxim0TyKgHgDUNr5PNEhwKwr8jfHcBiXjhRLI1aAQMFCYIQctVYbNdxaaaEcXIJ1mtyqZE4yaVQtuK8DkU1R81xJOwtXZsRgy2emBFFKWsd1R2zCp1VUsrnAaDxd2XyCUKIAQA3A/h/2h1MCHG1EGJSCDH58st6ysoRjQQhsGYTgLmqRBIA9u52OCgSI99ilPOJbcoVINkfQ7J8PAVgC/IlAIt54SQIgXVnWwk1sHxdTIC8jiVmAiWW4xUpjoTBhV6J13OCPGomTmIZ40lTv8DG6k/1x1GUstbRS6et0BFCPCCEeFzx7+IOY/w7AN+QUra9ByWlvE1KWZZSlkdHRzs8PLHK1bvVtyy/ECqfLs0v5STNeC5GOZ94yNpy9DD6bk/eHu3ry69wJwKwH9+YfAnAwl44ERAxATKCN80ESpT3LVqctbDzOZ6Jn+LkI4/rP/CS+Cm9oboX5x7+uv44TXcRBerC4bLj/11/nCCEXJXopfNydv9ZW6EjpTxfSnm64t89AF4UQrwDABp/X1Ic4mwA1wghfgngPwG4XAjxp5lHTtyx4TwAiUT64NM+L2HoL1qJ0T8fU+21CucTDzl/Ip28Hi+aebYH2gjAvsSzO4B9e+Ek4WUw5jVxFOcdQk9Z4RSJEtMbS89i1aGf6I+T8FENQOLM1+7TH0fho/rtNw3ECULIRCnrtTUzFzgGqlNxO5OGEtNZl67dC+CKxuMrANyTfIKU8v+QUp4spVwP4P8GcKeUcr61ssR3Lr87ZnyMHt1/g5PhEAUqMXroOd/FKOcTFwQhMHhCYmeNy9eUAtBQ/4g84ZEA7NsLJ468JsbiJLwZawcOYvmrP9IfJ1FiWgB4z4sGKrwpfFRLpg30OwpCYHX8Aua0sOOjOiTM+46U2z2QVej8KYBxIcTPAYw3tiGEKAsh/ibr4IjHjF2aTgJmjvqeSPcP+RSjnE9ccdKZ0cPoXHl0h5OheEMQpu9eQFIA5kcAFvfCyQktC8gZjbMEb5mJs2U7ZGJpVPDc/9Afp1xBdTS+NGpo6hX9cSz6qMRI3Ef1ZsmQAEmcC4eFIdGbPLc1nOuZhI6U8hUp5fullKc0/r7a2D8ppbxK8fwvSSmvyRKTeMLWHUBTA7l2iXRflaf1hS3bcyVGOZ84RJW8Th/RUvEm12ys+9ebl4ZQAOZGAPbNhZOzSj/FggPf13/ghAfktNKzePvTO/XHCULUVpwWD/3GXv1xAJROiAuBRdMGKtYh7aM6oWroYkDCd3SipThLpaFljE1xJAC8/mzmQ2a9o0P6mc3X5iqR7jvGJ9Ri9L7rnQyHeEwQAgvnKhBF58oDn21s9+mViq07YglLUgAa6VmRB2YFIPwVgIW+cJLygACLnzLQRkDhAVnxs6/qjwNgENMxYbBo6lUjccTRV+ICZOZ1I3GS3pITLcVZVjMkdBJxVtYMFXJI+Kjwwp7MF9wodEjvMJH2H5UYrR738eorcc1Z9dwvVkxs/w+cDMUrFs9dAU4KwL5lVgA24B1Ayyg8IKUjBhLPIIRYPRYTBrXSIv1xgJQX4/iit1mJ89aCEStxjgzaiXN4wNDStYSPahUOmvm+J3xUADKXmKbQIdlgIu034xNA0w9TNHE8fKuT4RCPGZ+AaPpJqH+Xj2HNYQNVifLEpisBpAVgP1aXjkEB6I4ghFi3GVZutI6si23OLDKUsCe8GNMLDDW/TMQ5PmghjsnJIhFnce2ImTgpH5WeHjcpFD4qvJlNxFPokGy0SaQl0wH3XHhTWoyCTSGJgsVzBtPZ7/K5z/2Vm7H4QgsBaKRhXp5oIQCJG8QxA1W9gJQ3Y/C4oSVYiTgLpsx4Z1Jek7cOmImT4J1Hf2zmDkjCR7V+Zq8Z+0AQojYa91Hp6HGjYnBoOC7i38p2blPokOwwkfabcgVYMBRt8q4OaYkieX3HkafcjMUnFALwquN3uBmLL7QQgFy+ZomEZ2LgLTOelmScwWN24gyZEiAJD8jo0Z8ZFyBCAMLUHZBmH9Xs5PTDO/XHATAo4z4qHT1ulCSPmzEOhQ7JTstE+hYXoyEqLriRYpS0R5G8LsRxvA9mrtzlBoUA3Fh72s1YfEIhALl8zRIJb0btBDueFjmwwEychAfkhLeeN+8BmT1pjQmQuI8q6xIsJQofFQYX648DGOlxYyMOhQ7RgzKRruG8J//Q2ZBIExSjpFMUyevvi//mZiy+MD6RMt8vRBXr33rC3Zh8QLV87Tne0bFCwmsijhsq9zv6ntjm0Gs/NSNAtmzHrDAwegekXEFtpV4PiBKHPipjfZYM9LhpF0dqiEOhQ/RQrgBDc6p79rv9rpfuczIcoqCFGMVdn3A2JOIhm66MnScAeEcHSJX0BYCLXvrPbsbiC6rla3KGLQZskPBmLDj4hJn3venORP0OiAQe/gv9cYIwLUAMeUBKJ+j1gHSMqTjJ4xYtTsZeOhQ6RB/bdqYS6RKAmwe/6G5MZA6FGJUAsMdA/wWSX8YnkPxpWChqTF7P/UxKAK4/1ud3dABg1ZxBOcodH7rZyVD6ClvejCCEHA7i+w4+oz8OgFJtKpcekL6N8/o+M3E099Kh0CH6CEJg6Zpoc3a+unjgYTfjIWkSYjSCd3VIM0xe05Qrsb5hkMAgqhSAH/58ek5541eOBtNHBCFqq8bi+wx5MwZGgrgAyYk3o2/jDC40Eyfho8KhfbnopUOhQ/Ry2R2pH72SAAa//FFXIyLNKMQo7+qQFExe1azcGD2MrqL3uwAMQmBgMNqsL1+jALRBafm6uAApkDfDahxTJOMcf8NMnISPCi88bt5HBQAmfVRJEZ/BR0WhQ/QShMCaTQDqP3izc/DAP+92NiSSQCFGAQB3XuJgMMRLEskrACavAAVgK0ZPjR7yDqBFiu7NsOWdefa7Vnrc4IU95n1UAIz6qFZZ8lEtXqbNR0WhQ/Rz9e5UoREBMJH2BYUYlQCwl2KUNNGcvPLuRR0KQDUJASgB4M0X3I2nX6AHpDdShUUs9LiZ3Zd3H1U1fz4qCh1ihg3nAWgk0rNfin/+X86GQxIoxCgA9tUhc6juXphqSpgnVHcvHvkrJ0PxBpUATN8zJropmtck6QF5Y7+ZOy0We9xI+qicx6HQIWa4/G4IMXd6CQAoGWo0RnqjWYzO7nvqXlejIb4RhMCSVfF9Q4aaEuYJlQAUyssG/UWTAAQArHivm3H0E0lvRnI7b3G2bAfEQPw36ZcP6Y8ThMB7PxgXBsllZpoYCM6Kx8n7Z+QgjswYh0KHmGPz78XvGvzGJ12NhKi4/G6I4ZPjn9GpF7kaDfGRRknliHOuczUSfwhCYMvvJ+a2f+tqNP7w4c9DNKrSCVECPvx5xwPqA87YBlFaBEDU/zaWSuU2ThBCfOjPIQYGATEAlBYB63/LSCix5fej1wRL7x3j9BYn6zknpPTz9nK5XJaTk5Ouh0Gy8q3P1u8SnHpRoz8H8Y4uPiMhxGNSyrKlkWmD80kGJr8EPHUPcOrF9RLLpA7flzT7Hq1fgV//W3VB2AbOJxro8j33Po7NWIxTqDit5hMKHUJIxzAxIYTogvMJIUQXreYTLl0jhBBCCCGEFA4KHUIIIYQQQkjhoNAhhBBCCCGEFA4KHUIIIYQQQkjhoNAhhBBCCCGEFA4KHUIIIYQQQkjh8La8tBDiZQDPdvj0FQAOGhyObfh6/Kdor6nT17NOSjlqejC64XzC1+MxRXs9AOeTWfr5s80LfD1+083rUc4n3gqdbhBCTOaxFn8r+Hr8p2ivqWivJwtFey/4evymaK8HKOZr6oUivg9Fe018PX6j4/Vw6RohhBBCCCGkcFDoEEIIIYQQQgpHUYTOba4HoBm+Hv8p2msq2uvJQtHeC74evyna6wGK+Zp6oYjvQ9FeE1+P32R+PYXw6BBCCCGEEEJIM0W5o0MIIYQQQgghERQ6hBBCCCGEkMKRS6EjhLhUCPGEEKImhGhZdk4I8QEhxNNCiGeEEJ+2OcZuEEK8TQjxLSHEzxt/l7d4XlUI8aPGv3ttj7Md7d5vIcQiIcRXG//9e0KI9fZH2TkdvJ6KEOLlps/kKhfj7BQhxH8RQrwkhHi8xX8XQohbGq/3J0KIX7c9RhdwPuF8YgPOJ8WfT4o2lwCcT3ylSPOJ8blESpm7fwBOBfAeAN8BUG7xnBKAXwDYAGAhgB8D2Oh67C3GehOATzcefxrAn7V43puuxzrPa2j7fgP4dwD+uvH4YwC+6nrcGV9PBcAXXI+1i9f02wB+HcDjLf77BwHcB0AA+E0A33M9ZkvvC+cTz/5xPvH/H+cT5Wsu1FzSGC/nE8/+FW0+MT2X5PKOjpTyKSnl022eFgJ4Rkq5V0o5BeArAC42P7qeuBjAHY3HdwD4iMOx9Eon73fz6/w7AO8XQgiLY+yGPJ0/HSGl/P8AvDrPUy4GcKes8wiAESHEO+yMzh2cT7yE84nncD5JU8C5BOB84iN5O4fmxfRckkuh0yEnAdjXtL2/sc9HVkkpnweAxt+VLZ63WAgxKYR4RAjh22TTyfsdPUdKOQPgEIC3Wxld93R6/mxt3Er9OyFEYGdoxsjTd8Y2eXpvOJ/4B+cTv78zNsnb+8L5xD/6bT7J9J0Z1D4cTQghHgCwWvGf/kBKeU8nh1Dsc1ZLe77X08VhTpZSHhBCbACwWwixR0r5Cz0jzEwn77dXn0kbOhnr3wPYKaU8LoT4JOpXg84zPjJz5Onz6QrOJ0o4n9iD80kdXz+fjinaXAJwPuniOb7Qb/NJps/GW6EjpTw/4yH2A2hWsGsBHMh4zJ6Z7/UIIV4UQrxDSvl843bcSy2OcaDxd68Q4jsAzkR9naYPdPJ+zz5nvxBiEMAw5r9d6ZK2r0dK+UrT5g4Af2ZhXCbx6jujE84nymNwPrEH55OCzCdFm0sAzieJ53A+8Y9M35kiL137PoBThBDvFEIsRN1c5l0lkAb3Arii8fgKAKmrQkKI5UKIRY3HKwBsAfCktRG2p5P3u/l1fhTAbtlwmnlI29eTWCN6EYCnLI7PBPcCuLxR4eQ3ARyaXbJAOJ9YhvMJ55Oikqe5BOB84iP9Np9km0tMVVEw+Q/AJagrvOMAXgTwzcb+NQC+0fS8DwL4GepXFf7A9bjneT1vB/BtAD9v/H1bY38ZwN80Hm8GsAf16hp7AHzc9bgVryP1fgP4YwAXNR4vBvA1AM8AeBTABtdjzvh6bgTwROMzeRDAe12Puc3r2QngeQDTje/PxwF8EsAnG/9dAPhi4/XuQYuqQUX7x/mE84knr4fzSc7/FW0uaYyV84mH/4o0n5ieS0TjIIQQQgghhBBSGIq8dI0QQgghhBDSp1DoEEIIIYQQQgoHhQ4hhBBCCCGkcFDoEEIIIYQQQgoHhQ4hhBBCCCGkcFDoEEIIIYQQQgoHhQ4hhBBCCCGkcPz/H/L2LLsNBdEAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1008x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.arange(-1, 1, .001)\n",
"for ix, M in enumerate([2, 3, 8]):\n",
" plt.subplot(1, 3, ix+1)\n",
" e = (quantize(x, M) - x) / (2 / M)\n",
" plt.plot(x, e); \n",
" plt.plot(x, e, '.');"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Normalized quantization error\n",
"\n",
" * $\\eta(x)$ can be expressed as a Fourier Series\n",
"$$\n",
" \\eta(x) = \\sum_{k=1}^{\\infty} \\frac{(-1)^{kM}}{\\pi k}\\sin\\left(\\pi k M x\\right)\n",
"$$\n",
" * $(-1)^{kM}$ is identically one for mid-riser quantizers and alternates in sign for deadzone quantizers."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def nqe_fs(x, M, terms=1000):\n",
" e = np.zeros(len(x))\n",
" s = [1, -1 if M % 2 == 1 else 1]\n",
" for k in range(1, terms):\n",
" e = e + s[k % 2] * np.sin(np.pi * k * x * M) / (np.pi * k)\n",
" return x, e"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for ix, M in enumerate([2, 3, 8]):\n",
" plt.subplot(1, 3, ix+1)\n",
" plt.plot(*nqe_fs(np.arange(-1, 1, .01), M))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Quantization noise for a sinusoidal input\n",
"\n",
" * back to sampling followed by quantization\n",
" * $x[n] = \\sin(\\omega_0 n + \\theta)$ with $0 \\le \\omega_0 < 2\\pi$. \n",
" * $\\eta[n] = \\eta(\\sin(\\omega_0 n + \\theta))$ and we are interested in computing its spectrum. \n",
"\n",
"\n",
" * using complex exponentials for the Fourier series:\n",
"$$\n",
" \\eta(x) = \\sum_{k \\neq 0} \\frac{(-1)^{kM}}{j2\\pi k}e^{j\\pi k M x}.\n",
"$$\n",
"\n",
"Now we need to replace $x$ by $\\sin(\\omega_0 n + \\theta)$ and we end up with terms of the form $e^{j \\alpha \\sin \\beta}$; these can be expanded in terms of Bessel functions using the so-called Jacobi-Anger formula:\n",
"\n",
"$$\n",
" e^{j \\alpha \\sin \\omega} = \\sum_{m=-\\infty}^{\\infty} J_m(\\alpha)e^{j\\omega m}.\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Bessel functions are even or odd according to whether their order is even or odd, so:\n",
"\n",
"$$\n",
"\\begin{align*}\n",
" \\eta[n] = \\eta(\\sin(\\omega_0 n + \\theta)) &= \\sum_{k \\neq 0} \\frac{(-1)^{kM}}{j2\\pi k}e^{j\\pi k M \\sin(\\omega_0 n + \\theta)} \\\\\n",
" &= \\sum_{k \\neq 0} \\frac{(-1)^{kM}}{j2\\pi k} \\sum_{m=-\\infty}^{\\infty} J_m(\\pi k M)e^{j (2m+1)\\theta} e^{j (2m+1)\\omega_0 n} \\\\\n",
" &= \\sum_{m=-\\infty}^{\\infty} \\left[ e^{j (2m+1)\\theta} \\sum_{k = 1}^{\\infty} \\frac{(-1)^{kM}}{j\\pi k}J_{2m+1}(\\pi k M) \\right] e^{j (2m+1)\\omega_0 n} \\\\ \\\\\n",
" &= \\sum_{\\varphi \\in \\Omega(\\omega_0)} b(\\varphi) e^{j \\varphi n}\n",
"\\end{align*} \n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"$$\n",
" \\eta[n] = \\sum_{\\varphi \\in \\Omega(\\omega_0)} b(\\varphi) e^{j \\varphi n}\n",
"$$\n",
"\n",
" * $\\Omega(\\omega_0) = \\{(2m+1)\\omega_0 \\mod 2\\pi\\}_{m \\in \\mathbb{Z}}$, i.e., all the odd multiples of the fundamental frequency aliased over the $[0, 2\\pi]$ interval;\n",
" \n",
" \n",
" * for each frequency $\\varphi \\in \\Omega(\\omega_0)$:\n",
" * $I(\\varphi) = \\{m \\in \\mathbb{Z} | (2m+1)\\omega_0 \\equiv \\varphi \\mod 2\\pi\\}$\n",
" \n",
" * $\\displaystyle b(\\varphi) = \\sum_{m \\in I(\\varphi)} \\left[ e^{j (2m+1)\\theta} \\sum_{k = 1}^{\\infty} \\frac{(-1)^{kM}}{j\\pi k}J_{2m+1}(\\pi k M) \\right]$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## PSD of the error\n",
"\n",
"$$\n",
" P_{\\omega_0}(e^{j\\omega}) = \\sum_{\\varphi \\in \\Omega(\\omega_0)} |b(\\varphi)|^2 \\delta(\\omega - \\varphi).\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Rational normalized frequency\n",
"\n",
"Assume $\\omega_0 = 2\\pi(A/B)$, with $A$ and $B$ coprime, as in the numerical experiments\n",
"\n",
" * the set $\\Omega(\\omega_0)$ is finite: <br /> $\\displaystyle\\Omega\\left(2\\pi\\frac{A}{B}\\right) = \\left\\{\\frac{2i\\pi}{B}\\right\\}_i, \\quad \\begin{cases}\n",
" i = 0, 1, 2, \\ldots, B-1 & \\mbox{if $A$ or $B$ even} \\\\\n",
" i = 1, 3, 5, \\ldots, B-1 & \\mbox{if $A$ and $B$ odd} \n",
" \\end{cases}$\n",
" \n",
"\n",
" * $\\displaystyle I\\left(\\frac{2i\\pi}{B}\\right) = \\{i[A]^{-1}_{B} + pB\\}_{p \\in \\mathbb{Z}}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Rational normalized frequency\n",
"\n",
"The quantization error's PSD:\n",
"\n",
" * contains a finite number of spectral lines at multiples of $2\\pi/B$ \n",
" * the power associated to each line $|b(2i\\pi/B)|^2$ should correspond to the square magnitude of the $i$-th coefficient of the $B$-point DFS of the error signal.\n",
"\n",
"\n",
"\n",
"The following function computes an approximation of the coefficients $|b(2i\\pi/B)|^2$ for $\\omega_0 = 2\\pi(A/B)$, scaled to represent the non-normalized quantization error:"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"def nqe_sin_psd(A, B, M, phase=1):\n",
" s = [1, -1 if M % 2 == 1 else 1]\n",
" b = np.zeros(B, dtype=complex)\n",
" m_lim, k_lim = max(1500, 2 * B), 600\n",
" for m in range(-m_lim, m_lim):\n",
" c = 0\n",
" for k in range(1, k_lim):\n",
" c += s[k % 2] * ss.jv(2 * m + 1, np.pi * k * M) / k\n",
" c /= 1j * np.pi\n",
" b[((2 * m + 1) * A) % B] += c * np.exp(1j * phase * (2 * m + 1))\n",
" # undo error normalization to obtain the real error PSD\n",
" b = np.abs(b * (2 / M)) ** 2\n",
" print('Max NHD (theory): ', find_nhd(A, b, full=True)[0])\n",
" return b"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"def nqe_sin_dfs(A, B, M, phase=1):\n",
" s = quantized_sinusoid(A, B, M, phase)\n",
" ne = (s['quantized'] - s['original']) \n",
" b = np.abs(np.fft.fft(ne / B)) ** 2\n",
" print('Max NHD (FFT): ', find_nhd(A, b, full=True)[0])\n",
" return b"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Max NHD (theory): 0.018326485641112476\n",
"Max NHD (FFT): 0.01830582617584078\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"P = (3, 8, 2)\n",
"stem(nqe_sin_psd(*P), 'tab:green')\n",
"stem(nqe_sin_dfs(*P), 'tab:red')"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Max NHD (theory): 0.014076477031128238\n",
"Max NHD (FFT): 0.014262281437017315\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"P = (5, 14, 3)\n",
"stem(nqe_sin_psd(*P), 'tab:green')\n",
"stem(nqe_sin_dfs(*P), 'tab:red')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Irrational normalized frequency\n",
"\n",
"Assume $\\omega_0$ not a rational multiple of $2\\pi$ \n",
"\n",
" * the normalized frequency $\\nu = \\omega_0/(2\\pi)$ will be an irrational number in $[0, 1)$\n",
" \n",
" * the set of _normalized_ frequencies $\\Omega'(\\nu) = \\{(2m+1)\\nu \\mod 1\\}_{m \\in \\mathbb{Z}} = \\{ \\langle (2m+1)\\nu \\rangle\\}_{m \\in \\mathbb{Z}}$\n",
"\n",
"\n",
"Weil's Equidistribution theorem shows that $\\Omega'(\\nu)$ cover the entire $[0, 1]$ interval _uniformly_. "
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Max NHD (theory): 0.004830057419924902\n",
"Max NHD (FFT): 0.00405292728721497\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"P = (150, 1021, 2)\n",
"stem(nqe_sin_psd(*P), 'tab:green')\n",
"stem(nqe_sin_dfs(*P), 'tab:red')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Non-harmonic distortion patterns\n",
"\n",
"Recall the plot of the maximum non-harmonic distortion as a function of normalized frequency and its curious \"stepladder\" pattern:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MEXkUq5npX4xubng2jDHfPn+lUkpd6rT5nFJKKaWUUmpK04EWlFJKKaWUUlPaFdF8rrCw0MyaNWuyi6GUUkoppZS6RG3fvr3LGFM01rwrIiiaNWsWNTU1k10MpZRSSiml1CVKRBrHm6fN55RSSimllFJTmgZFSimllFJKqSlNgyKllFJKKaXUlKZBkVJKKaWUUmpK06BIKaWUUkopNaVdEaPPKaWUUkpd7urqB6jZHiQUShIIOKlemUdVZdZkF0upKUGDIqWUUkqpSVZXP8DGTd0kkwaAUCjJxk3dABoYKXURaPM5pZRSSqlJVrM9OBIQDUsmDTXbg5NUIqWmFg2KlFJKKaUmWSiUPKvpSqnzS4MipZRSSqlJFgg4z2q6Uur80qBIKaWUUmqSVa/Mw+mUU6Y5nUL1yrxJKpFSU4sOtKCUUkopNcmGB1PQ0eeUmhwaFCmllFJKXQKqKrM0CFJqkmjzOaWUUkoppdSUNqGgSETuEJHDIlInIn83xvwMEXnSnr9FRGbZ0wtEZL2IDIrI99OWzxKRXWk/XSLyb/a8z4pIZ9q8L5yfQ1VKKaWUUkqpdztj8zkRcQIPAbcCx4FtIrLOGHMgbbHPA0FjTJWIPAB8C/g4EAG+BiyxfwAwxgwAy9P2sR14Nm17TxpjvnrOR6WUUkoppZRSEzSRTNFqoM4Y02CMiQFPAPeOWuZe4FH772eAW0REjDEhY8xGrOBoTCIyF5gGvHXWpVdKKaWUUkqp92giQVEZ0Jz2+rg9bcxljDEJoA8omGAZPoGVGUp/jPNHRGSPiDwjIjPGWklEvigiNSJS09nZOcFdKaWUUkoppdSpJhIUyRjTzDksM54HgF+mvX4OmGWMuQp4lZMZqFM3bswPjDHVxpjqoqKiCe5KKaWUUkoppU41kaDoOJCerSkHWsZbRkRcQA7Qc6YNi8gywGWM2T48zRjTbYyJ2i9/CKycQBmVUkoppZRS6pxMJCjaBswVkdki4sHK7Kwbtcw64DP23x8FXh/VHG48n+DULBEiUpL28h7g4AS2o5RSSimllFLn5IyjzxljEiLyVeAlwAn82BizX0S+AdQYY9YBjwA/E5E6rAzRA8Pri8gxIBvwiMh9wG1pI9d9DLhr1C7/XETuARL2tj77Ho5PKaWUUkoppU5LJpbQubRVV1ebmpqayS6GUkoppZRS6hIlItuNMdVjzZvQw1uVUkoppZRS6kqlQZFSSimllFJqStOgSCmllFJKKTWlaVCklFJKKaWUmtI0KFJKKaWUUkpNaRoUKaWUUkoppaY0DYqUUkoppZRSU5oGRUoppZRSSqkpTYMipZRSSiml1JSmQZFSSimllFJqStOgSCmllFJKKTWlaVCklFJKKaWUmtI0KFJKKaWUUkpNaRoUKaWUUkoppaY0DYqUUkoppZRSU5prsguglFJKqQujrn6Amu1BQqEkgYCT6pV5VFVmTXax1GViW00P655vJRiMk5fn5p67S1hVnT/ZxVLqgtCgSCmllLoC1dUPsHFTN8mkASAUSrJxUzeABkbqjLbV9PD4E83E49b1EwzGefyJZgANjNQVSZvPKaWUUlegmu3BkYBoWDJpqNkenKQSqcvJuudbRwKiYfG4Yd3zrZNUIqUurAkFRSJyh4gcFpE6Efm7MeZniMiT9vwtIjLLnl4gIutFZFBEvj9qnTfsbe6yf6adbltKKaWUmrhQKHlW05VKFwzGz2q6Upe7MwZFIuIEHgLuBBYBnxCRRaMW+zwQNMZUAd8BvmVPjwBfA/56nM0/aIxZbv90nGFbSimllJqgQMB5VtOVSpeX5z6r6Upd7iaSKVoN1BljGowxMeAJ4N5Ry9wLPGr//Qxwi4iIMSZkjNmIFRxN1JjbOov1lVJKqSmvemUeTuep/z6dTqF6Zd4klUhdTu65uwS3+9Trx+0W7rm7ZJJKpNSFNZGgqAxoTnt93J425jLGmATQBxRMYNs/sZvOfS0t8JnQtkTkiyJSIyI1nZ2dE9iVUkopNXVUVWZxw/UFI5mhQMDJDdcX6CALakJWVefzyQdmjGSG8vLcfPKBGTrIgrpiTWT0ubGyNOYclhntQWPMCRHJAn4FfBp4bKLbMsb8APgBQHV19Zn2pZRSSk05VZVZGgSpc7aqOl+DIDVlTCRTdByYkfa6HGgZbxkRcQE5QM/pNmqMOWH/HgAex2qmd07bUkoppZRSSqlzNZGgaBswV0Rmi4gHeABYN2qZdcBn7L8/CrxujBk3eyMiLhEptP92A3cD+85lW0oppZRSSin1Xpyx+ZwxJiEiXwVeApzAj40x+0XkG0CNMWYd8AjwMxGpw8rqPDC8vogcA7IBj4jcB9wGNAIv2QGRE3gV+KG9yrjbUkoppZRSSqnzTa6EJEx1dbWpqamZ7GIopZRSSimlLlEist0YUz3WvAk9vFUppZRSSimlrlQaFCmllFJKKaWmNA2KlFJKKaWUUlPaRJ5TpJRSSiml1Hl1sGEDb+36BQOhbrICBdy4/EEWzlk72cVSU5QGRUoppZRS6qI62LCBlzc/TCIZBWAg1MXLmx8G0MBITQptPqeUUkoppS6qt3b9YiQgGpZIRnlr1y8mqURqqtOgSCmllFJKXVQDoe6zmq7UhaZBkVJKKaWUuqiyAgVnNV2pC02DIqWUUkopdVHduPxBXM6MU6a5nBncuPzBSSqRmup0oAWllFJKKXVRDQ+moKPPqUuFBkVKKaWUUuqiWzhnrQZB6pKhQZFSSk0hdfUD1GwPEgolCQScVK/Mo6oya7KLpYBtNT2se76VYDBOXp6be+4uYVV1/mQXS6HP07mU6XeaOl80KFJKqSmirn6AjZu6SSYNAKFQko2brJGetBIxubbV9PD4E83E49Z7EwzGefyJZgANjCaZPk/n0qXfaep80oEWlFJqiqjZHhypPAxLJg0124OTVCI1bN3zrSMB0bB43LDu+dZJKpEaps/TuXTpd5o6nzQoUkqpKSIUSp7VdHXxBIPxs5quLh59ns6lS7/T1PmkQZFSSk0RgYDzrKariycvz31W09XFo8/TuXTpd5o6n7RPkVJKXQCXYuff6pV5p7S/B3A6heqVeZNYKgVwz90lp/QpAnC7hXvuLpnEUp00lQcauHH5g6f0KQJ9ns6l4ly/03r662jpqSGeCOF2BSjNryY/u+pCF1dd4jQoUkqp8+xS7fw7vO9LLVhTJwdTuBRHn5vqAw3o83QuXefyndbTX0dT50aMsZrYxRMhmjo3AmhgNMWJMebMC4ncAfw74AR+ZIz55qj5GcBjwEqgG/i4MeaYiBQAzwCrgJ8aY75qL+8HngYqgSTwnDHm7+x5nwX+BThhb/77xpgfna581dXVpqamZkIHrJRSF9oTTzWN2aY9EHDywMcqJqFESp27Hzz7JwyEut41PStQyBfv/69JKJFS527fsSeIJ0Lvmu52BVgy64FJKJG6mERkuzGmeqx5Z+xTJCJO4CHgTmAR8AkRWTRqsc8DQWNMFfAd4Fv29AjwNeCvx9j0/zHGLABWANeLyJ1p8540xiy3f04bECml1KVGO/+qK4kONKCuJGMFRKebrqaOiTSfWw3UGWMaAETkCeBe4EDaMvcCX7f/fgb4voiIMSYEbBSRU/KRxpghYL39d0xEdgDl7+VAlFLqUhEIOMfNFF1u9IGi782V0BcnK1AwTqZIBxq41GnfmXdzuwLjZopG27zzJZ595WF6ejvIz53G/bd+iWtX3H4xiqkmwURGnysDmtNeH7enjbmMMSYB9AET+rYUkVzgQ8BraZM/IiJ7ROQZEZkxznpfFJEaEanp7OycyK6UUuqiqF6Zh9Mpp0y7HAc0GH6g6PCw0MMPFN1W0zPJJbs8DPfFsQIKM9IX52DDhsku2lm5cfmDuJwZp0zTgQYufcN9Z4YDgOG+Mz39dZNcsslVml+N1QjqJBEnpfmntqjavPMlHvvNN+npbQcMPb3tPPabb7J550sXsbTqYppIUCRjTBvdEWkiy7x7wyIu4JfAd4czUcBzwCxjzFXAq8CjY61rjPmBMabaGFNdVFR0pl0ppdRFU1WZxQ3XF4xkhgIBJzdcX3DZDWigDxR9b66Uh34unLOW2679ElmBQkDIChRy27VfuuwyXmPp6a9j37En2Fn3CPuOPXFFBQwtPTUjgwkMMyZJS8/U7oOdn11FRdENI5khtytARdEN78qgPfvKw8Tip35+Y/Eoz77y8MjrtvqX2PTUh3n9J9ez6akP01avAdPlbCLN544D6dmacqBlnGWO24FODjCRW4k/AI4YY/5teIIxJr2R8g852T9JKaUuG1WVWZddEDSaPlD0vbmS+uIsnLP2igiC0l3po5Bp35nx5WdXnfE97untOO30tvqXOLTpm6TsGx/RUDuHNlnjkBVXahO7y9FEgqJtwFwRmY01ItwDwCdHLbMO+AzwDvBR4HVzhmHtROSfsIKnL4yaXmKMGb4NeQ9wcAJlVEqpi2oq9LXJy3OPGQANP1D0Sugvcz6M90yqqdQX53Lsu3K6TMq5lP1S639yNn1nzqe2+peo3/4w0VAHGYFpVK780mUZJOTnTrObzr17OkD99odHAqJhqWSU+u0PExSffjdehs4YFBljEiLyVeAlrCG5f2yM2S8i3wBqjDHrgEeAn4lIHVaGaGRMQxE5BmQDHhG5D7gN6Af+J3AI2CEicHLo7T8XkXuAhL2tz56nY1VKqfNiuK/NcNOy4b42wKQHRuczUDndA0Wn+rNrhp3umVQX4qGfl2LwcblmXM5nJmW4/8lwc6vh/ifApAVGpfnVp7wvMHbfmfPpSsqe3H/rl055TwE87gzuv/VLAERDY2eSWof6qRnnu3FmTjGDJ94hFRvE4ckks2wN/oJ5F/hI1ERN6OGtxpgXgBdGTfuHtL8jwB+Ms+6scTY7Vj8kjDH/A/gfEymXUkpNhtP1tZlIUHShMiznO1A53QNFf/Ds2P1lNm7dwe6aWVfsw2FHByV7tq0mmTz131kyaajZHuSBj53fh35e6ODjXDMd5zvjciGMlb04n5mU0/U/uRhB0em+Uy5mEH267Mm5BkVD3bWTEkgMv2/jfSYyAtOIht6dSWp15oz53dhQ+zvyps2BVAKAVGyQo43P0tbSRzQ5gNedx/ySeyjLX3WBj0yNZ0JBkVJKTWWjKxzB4JcY677ORPraXMgMy+k69p/rtldV548Z6I3VL8adXIEk7iSEVUEOhZLsO7yPQXMMw9Alk9k4G+mBwooly1mzaiUiVkAcT4QIh8deb3hI9vPZF+dCBh/vJdMxXmZlsGU3m7Y+OenNqMbLXlRc92f0S+S8ZFLG639SnumjY8+jF7RCf6bvlLGujQsVaIyXPRlv+pkMddfS37j+lECiv3E9wITK27R+PfsffZRwZxe+okIWf+YzVNx884T3f+2K28e9/itXfumU6wrA4cwgNvY9f+ZnF40cB0C39NEkrRg7yxyJB9mx7mF2vvYdYj39+IoKqfzy/cSmD11SmeErmQZFSik1huF+Ij1DW4k4n8FgBTwDoS5cnn4SsZx3rTPc1+Z0znfgkp65GKv/ilXmiXXsP5umWWP1l/GaOxE8I6/zitoorzyEIQXA/sO7eaTmxwyEBsnPnT7pfS7GM5xVONTaztYOsOssLFk0dyQgGubOiBCP+t61jdM9k+pc+1yMDj7aOk9Q33SYaCzC2zvWv6cs1HvJdIyVcYl21DF0ZNNIJTDD5SXevpu2YN1Fu9s/XPGv3fOzMbMXrTt+xsI7/uWUa97tzmRX86NE4sGzunM/Vv+Tq8pn8uGV15KKDVr7PMsK/emkV/ab7/WS8J16XZ7uO+W9BhqnK0vO3U7EmzhlvrtoDv7Z17Cz7pGzrtgPnnjnlEDCKnCCwRPvnLGsTevXs/O73yMZtd77cEcnO7/7PYAxA6Oh2joGt9SQGgzhyAyQeU01/nnjl3P4Mzv6s1y7+9kxv4sDbu8pr1scHZi075PEzgESv+kGuxWCY0YGA1mtOBJWVd3ZHGJo/Zscbv8hu7u2EIoNkJVXzI13/ykLV9112nOhJkaDIqWUStPTX8eeA0dpODwbk3IScb44EhANyy17je7GD2FSVhA0Z243q65vIZAZY9+xvWP+05NnnbEAACAASURBVB/OOEwrFux+lABMLyhhTsV8vBk+9h17YsIVhrb6lzjWsA5PxVLEaZUjw+MlGouMLNPXN0RHxwCJRIq//faHTxuETLRp1nCFPn+on5Azh1TaXVEHpz6HqXRWPU6nFRDV1texfuNGEskkMzNheW47zbu+xdZ9DxPHQVagcNI6Iw9Xnus762ho3cO0eCdOYHf3yYAIICuQ+a51S2c10HRkASZlBUGlOSdYUFyL1xOmY8+7K//n0udiuHyOjBQpp/UkjbbOExxq2EsqlSJwLEHO7uMc+NG3OJL3nyz/whcnfDd8eNujK/QlPW7mt/rwxaO8eOCzY95hP9GzjcOt68BAbkYFIief8hE5tn2kMpudM5PS8mtxOFx07j5B06uHifY9hbcgjyWf+/xZ3bk/7bHU1tHw5FM07tpBVlUulfddhdPtJBEfGnP5aKjjlFHITvRsY2/z46SM9XmPxIPsbX4cYNzAaDggmBEfpG+GkHScvGBuW7ICt9O6LobcDga8LlIOoaP7LcrdjnO6439w2wts+elDZB5L4TDW+U54Uwxnrr3N08naPwdn2EvSF+FoYS2z154aPJwSaHQ54IQLYkL/rrfgBsdpA4F0RzfUsvMHT2B6tiH2jY+hXR781QnErl26i+YQmHsj4rQmTLTJ58FtL/DW8w/xobvvPOX7sm0f1L8B0f5B/EWPsuzBNe86PoCB+j72/McjIwHRsGQ0yv5HH33XNTdUW0f/mxshYX3/pQZD1ms45Xwc3VDL7l+8w1DXIP7CTJY9uIbrP/brkX0Gt3cwf+h97HT+lmTa/w2XM4OU04MzdXJanFODvcQrwZGACCDvQ4txeKzz5m2FnAPQGKxlS+t6ksZaN37cR82393Jw+utkL9lDVsZipvmXkJG9iZqjWTy3bSk9g14KCwM8+MnlrL1x9rjnXGlQpJSawoa6a9mz92nqmrcw1NNFKGsO16+5gaaGtZiUk9KcE/SGekeWz0sOUWoGcOe0crS8n6PBT7NsaRNzV3SDQ9Lu3D9NwJfLTVd/hoVz1vLmxp/yxEs/Jp5MkFdQhMf+RzdrxkxmlS3AIU6iHXWY7lYGCxqJugOI0032zJvfdTe0af16Gnf+mET+MbKqPzISEA3Feyic7qfleARjIFI3SFt0gJTDumN96+Ll5CaOcLzmGPmzT263af16Nv3+h8z61Bq8Pj8A3miCrEgCp4Fw3ysMzUzhL5jHvue+Q3v7M3iKZzNr0U34+/toaDpMNB5lQVEVvV0RInEra+Ju3IbnhgggeFth66aakYDomunQ7/TS7MihIruEOcXT6Pb0cuLAOlK1+8hp9eCMgHE7yV1744QraWdycNsLNLz6W2ZXLaFnqIvul/eTf9105qxeQFN/B1taD7Eg3o0TGDo+k6F440gryav8c5CIAZ81YWBbE8Hn95MMhslceD3xZX9AYewgS0qaaWquY9fOGoZCIfyBR1hz+2dZ/r7P0dNfx6Et///JgKjRzeCeSuKphbT85ggZWce4+vM3j1Tyhmrr6D+4EYpD9PYfJZQI4p2zCnG6qas7TAorICrcmsCRBO/cRcxceA+JowUcOLIR5+wk82+96V3n4eiGWo5s30jJDTEKJEkqOJ0cVx59iSBgBURLmwP4ymN4l0Zw+HupPfA1+gc/wpIP/RVHN9Syd8tzOG86Rs5gFUUt12JyI0RmN2I8cTrrGnFGBhGBbJ+XsrKViB0Q1a/bS35RKYurFxPs9fDCL9vY+sgT9EUT5Po8fOyexdz+0cUTfk9rfneEwS2N0HeMPH8zR/ftJJVMsvjWa3C6nRBtw+V0kkiebCLX05OgpSVBPA51xz7IjXf/KeX513Og51lSbqvSGt2bTXbzdOZc48QR20JL3R5yK2/EXzCPuvoB9m5+DveRx4ltT3GUWezyfJR4+3EChZsRd4jV028jx2f1TRpyO+jzu0GEvh0JzMHjhOZ30RD7AJFkHn5vklWri0/b926ou5adv3uKbTuep6Q5B4exvkOiM6pxmCZS0o+3eTo5OxcQCjURDO0imRriqX94iVX3P0jJ3XPYufX75IdbWbbk41ag0eWARjekhISjkGZTSf1GIbqpAX+Gk1XX5L+rTAcbNvDkb15mcFsZV0VT+CO7cZCicGkJFbfOJyPHR1dLLV0de+h3VVM86yrEaZ1Td0ch7S+3sWfzrxkK/YCsgmm8/ytfZsltJ28GNK1fz7OP/YR44BAlC2aTEBjOv7ftg0MvQGxaCYlV8wn7fKzfF6Ft4AhrPjh3pHxHttawMHwLsVBwZLuF8x1Mv7uCSOkCUi4fe+sfpazoevKzq6zM2ca3GI5RTjimc9g1h7B48W2Ksdo5QFVlFpue/i3HnmrCGW3FkzhMsjnCjm89R8/++5kxeyGDJ1wMOrYBv6Y8GaLVkUtMhIHOhTQdXEz4cJhP3pHA4zacCJaQzGnG6bGyiH3BITy9yZFbTIGV5bjyrO/jaEcdhftLcJgAuzreGQmIvKE55PTegL/kONnLtpDlqma672oycn/HtvrpPP7WCpbNTfGXN/UTTvnZ9sp63vn5X5JdkGSmv4zi2TNIHTmMf2EheeWV4BEkLnizl5C7ZOoMlpNOgyKl1JTw0CcewlXWw9wFSRpa51Ba3kpO+QCHj++gqyWfI4M9fOnWtdS+1kbM76Us9wRLS3dyaJ+TvsEFXDstxP5DDZTzUYLLYdGqCMu27oJFMYaSgxx6c4jM2gTVy67j4GCY/LldvP2jg7Rf+w7rdr5MPJmgvO0+cvJbaG1zsWKZYUZ+Fb2bDAPRjcwtDrCjOZ/Am23skXtYuPBhcmoexe0yxBPCEccdFKz3UF7RQGxeGw6TxJFhZS46Dh+lrzaPwLQ55EaC5B7O4xVXNykHfOWmB+iP9xPs6eLtl0vxlR/De2gduckQ0abjtLg9uOYHyPD6GGh0E2tvoP3wbrp8N7DAe5D4lh4Gbw/Dhj3kXtvIoGsFuSbAvseEoZSPVdFiHNdlkNGcoK39Ocz0e0nu/wm+iI/Y0HQGt59gUWwmfYkQy8TB4kIXLZ3V9BQ1Uj2rkuTQEG2uLhzvBKhYVEX2AWFD3yaczl7mzynl2O8S9L/8X5gBL7WHy4nfeJiZb2QSHizAiZMkSXzZPcxcvYRgxav8/DeLuT/STensdo6HplE+M49o7i6CRxMkkglmz3k/HZETdD+1g4x7ljJjURkDvZlsbt7Eos4qXEUnILiSgd3zyJjTStQV4y+nfZ5N3R20bB4g1DmEv+EwHaEIeWvncWJPBr/f6+R9od9ww6cy2L31BI17W5hffh0Dg4UEWkt5/bctdA3+O46BDExkgD0HFpKXcuHrK6TOU8yqP+ikbUsxr7W4efx7W/lv7T+nq2EeJdnZFC3qY0dNDSbuxRVcQuuTteRkFhJbHQGBgu1OHMkErmVrmD/vXt7o+gUV4Ty6S/o4+sIgdS//M+/PqCA7sIajB/ZRVjwN51UOKu7KI7szxo5d0wgnF7K46A42t/2K6+eUkXUoSrB6Gu2JEpY0l3I88yAt05rI2+qgZeeP2LSlm+qvtVJYu5bm7RuIlLXR8aaPjLwiAlWd7K3dz1ULPASyZ1OaMwgOL3t2u+l77gDxxTdRXZbNloMHCSav49VglNs/8BaFnuPI23Pp8h7kxae/iQTrrWs/LhTNuY+Vt/4tv3rhy7heXMr0xetpzY3S0/inLIq4ad1fyw23Otn2yl5IJnFdU0JGjo/63fXMKm9G3MsxyZ10tX6E1s63ufbaatz14FkUprmnm4bN9XgC5cRWDCBA16OzWbpqAMdV8OTPEyy8LcKyygTbf/ZtWh3XYjLdFJgf0b+riO41a+iMu3if+02mxdooqKhmWuFiunbtJDyUzZ7DRylevZAMEfofDxEvaSD3qiL2HwbxPsTVidVs63qbbcFsmnr7qci4mmeC7ayYGWXfvkrKZu6nuLCQ/rY5NHW/SjIVw203p3K8734cvYfIPJhgsM9FXu9cwnmH6OrYzco/+gDhpkEWZpaxz9XGsTefpiLVi0RnEBlKsn1PkNWpIjweoaa2n8OZs0mFv89CT5jEgiJKjs0n0buSBq+XWCRCXf5P6TvkYK/bULfnau5P9OJb1UzqrQiO69ZQ+YFcOtqE2rc72Lk5ScWyr5DlSTHjhkGCO0LEQy5Sx3ZT17oHWfBBKmK9tCWm8+PfZlPy8+9QNH8u/uO/p889k1ROLSVVs1n4gds4vLODmZSzs6ae5IkcUtPKcK8YJKv+J3icZUS9N7KuwcX6539JRuEupLKOmyP/k6bW9aQ8GbRlT6NyeTmBZS5eft1JjruNElchTb2lRF3fZf6a2cwv9uCMZrA3/jYHuz/K1TPDLK7YRaSrmCNDFax/8qtsijtxH67GUXEE9+GjtJR/kMqVYarmCG8/ewS/mUdjcjsR/2EGWuayM3aYhdkLSHXNgLZC7g8McCjcwM53ymgfKiY6NMj08hCB1dC/L0qL9FMZ8JEKhcm6ZT4RRwnxUILWo1vJ7KnFlfosz+3sZ8hnBVFRWUPJ0FJC89qYXrmTxlCS67MfwJHzr4gjyZObruaWOW3cdZefLZtd0H+IE+37WZK1lPw5A/Q2ZxKqP072gkXkzMpiw649FESjZPcupLe3kS1DTxPMCVNZ0UtZZCNup5Po0RICC0pxh3cTO7ycmtxVzJ3/EBnvlBC6N4/Sl46Q3xfA7XQRTyboy4uy9t9/Ojn/8M+R48yLKKXU5W0kIFqYor51NsbVxMKqAFuaG6BrCfUDLfzRdfdx+LU2unr8pKSX+YXbef2XjaQabmVVaRH79jexhLsZWCHMuipJeF02TeEdRJ0DNL2ZS/aRFDOXTePgQJii1cfpWjeb7MVdlLhd9EfDlLfdR/nMKA31Ka4qdpHRZujf4aA73EBZIMz2JheBRjMSEBWYJjxuEBGOOG4nb+si/JHNdMxegZgQ9a0FxIcS9Gxrp782D19RjFjqINn9s2h0eolLjE+v+jj98T4y4v0crLmKjNJj+HL85CaHwDlIMFyEqzBKVeRqBo9l0HRgf1pAtI/w+nYGb7+B5O5jtE8vpLE5n5x8P0feKmUgFWdVtJXgghgZgwn2HGmh49Xf0nv8aTJjmfSX91Hz+pvMS5QxmO9mtSODZa5raOmupqh/kBkVRZiWCOE8Q+hlNwXXzsK7n5GAaN6cUoaOL2fAfRgGfdQeLid24yFmvplJdLAIl7gQEVziwuPJGQmIPhzppnRWG8cH7YAobxfOjgKO9tZTwc1ErzJ0PbObjBWrifUUEw5nsvmdJhZ2ziZ5UMj0V9G1vZJkdgOV7VfzxYLPs6mznay4IXzMkNPdQvtQlLy1c2nZ52XdkQxWLjcsqorS1RjgxMFW5pfPYqCnkKzQLPbktTDnKgepoIuWrU3s3bcIX2Eh/mQG9UPFVP9BO21b5vFCo4PeaIK/+lgtuw4uYVogi7rGrWzc1YiJ+3AFF3FsWzM5pVlkLJgLCS+5DWtwxKIMFc9lwbw7rYAomkvX9D6OHhikLmMX78+oIMtvBUSzl+YykB+h/OocWn9/nFe2JQklFlOY34cEPsiNVbPIjdxCQ/nV9MfKWJIs53jWQY4VHSHvxPUsnZnH29s7mX2Xn0BjFY071pNbmknn3gw8eUXMXVvM/rp9ZJfOopclzMyK8uu3b2L3Li/NLQ0cKlvJ6hI/O1s2ERhcxKs9dkCU0Yy8PZfQvXkURBpw99eNXPseDwSbfs2Tv/0jXC8updgOiBq7P8vqnGKOH6hlxn0d1KQGMeEormtKSGTn8s4b3ZQWt9I0uIqgyaSz4+N0Bmu5bk017W8aPIsjnAi248p0UOVfzd7wr5FYjI7nZzBzTjuOrFxefNaw4LYI1VUBmt/eR2+ikHBgDXmpxwgdv4+i+5fSlHIx172N4lgLBWWrKJqdQ+euHewL9/PmOzvoOBbHE/Dg2DBIkz/IgpmdHDgI4jvE0sRqtnW/Q1ZFFtODvczLuo5ngu0snxlj34FKymfux2EyOHTETclKB9FwP8sqZ+L0e8hevZxozyESLUHYEaZibhauqiE6Gvax8o8+wFBTP4u8pbQ6iml07aMsNohEZ9DeXMnWLe0EDh3B7fbyuw017IqWkxx6goXuIRILCik5Po+CojVk+HyICHX5j8KmfNrLj3PswBLu99bhq24i3JZDa9EKlq/NsQKiPR1sf6uTsvI55LjilDiO0VszRFukmRJ3IQ3t+0gF3k9+rJe2RDHNGcsoGdhM4fy5+MLbKC0sxEw7SioVY+6Nd3Do1ePUvjWbnVsb8ExvwhVL4Vg2hLd+NxnOMlLZN7Oh00VW6BA+TuCa2cCBLbfQ07qBdkeSvrJK/CVrKKxIsfE1JznuXkpdhbSE5hBxbiRvaQWzCzzU1MbZEd3I7vqbWFERIrsiSqSrmANDswi3/SMFHVn4StaSWt6F5+gJWko/yJyVUarmwlPPJXAMGRqGMgh56xhoSbIpsoOF2csocUxnoCOP1YEBDmc1UOArob09RaS/j/xUDY5WIbnDQVuyj6t9t+CuKMdZmkeEYgb6Oziw/SW8XQ2E+u/guV0DrLgmG48nj6isYe7sOwjNaiN3mo+mUJhAztWcSDyO25nkud03Mj3UxAdu87DvzQZKpk9n2/ZGFlbdjNd3lAP9RZSFvARzAuRWZLFxJCBaQG+wjK1hH8HcCJUVfZRFN+F2OYk0lBBYUDYSEG3PXf2ugGjaQDYel9v63LrcFPT52fAXn53sf/9nRYMipdQVr6uzGZl1B07HVhp6FxIrrcPrFVKuKAfbbyfpiFBe7CK60Ue47AAReQGfz4nUHeNEdDXTl7l5rWYGM8tWULIgjNPppNIXxWkOMhhro3y1B8+hWioqveSv6MLhTCCl1UxflIWvxU+mP5MB72oOJDbjqvOTnbeP5JY2yvu9+BZFKC6I0uFuovagh2mVM8hJNONwnGxH7zR34Ql2kwrH+f2WAIm40N/dTujoTmbN9BKryWbpPB8bjtSTnXuIyOwgfhfEShrJmJXPjKwTHIks4dolHnqTtzBzboCDB7bSHq2h6qqllGSuprl1McsXlNDR2Uyi5ADxLX2k4ikGeB997OS1fV5O7ConltdP3dBqHLUvkzsQZtqaKlw7B+nZe5RUEo6HbiS26E729e8l6ovgTrrJGkgwpyTOzJxZDGV9jJKeFIECNwf2bgevofnNWlxZbnzioCOvl472ZopnzKYkw0veNRXs2hLl1ZZO5i4JEx4owCGn/utaNN+PKfdxrK4b07ufQA8MdeRStswB0sCMzFkkUzGaGpJk5LiQeILI8XzC+/xEiqBtV4iKY0lCA0UUTV9KIuLC2VtK8UAlWXVH+N2uMFeVr2WgLkWsuYmWvuksXZTDur0x/FnT2LwnQWNRPbmJRWR0L6LyhiJKElV0DfSwuzML/+IOetfDwnCQl/fncCS0g6vnVPJ2dy8LS3N4s8VFPGX1JfAtLGR13hwafHO5unQaWc5dtAf6SBw15KUaaNq5nenXh+k59n5S09cS9RickTJc+AhmHaX/SCZF/neocx1GHAn644e4OtdNT0uKxUuOcs11ARweJ37vNjbszSbo83MiPo2UCNmLvQwGlvNmQxh/6e2Uls9nZ/QgC5ZOw3nAzYy5Yd4ODjH7Gj+ziwTT2EjJiQivhGewsthNatYAjjlJanv3UHH1XFzOKK7Ca+lIVtNf1EhdeCYBp4fEoQ76QyliSUOJYx++WC+HWrzMm1sEPUdOufYBHA6hPRxi0UwHUX8bvkiQDNdSAh438XiSmQuK6PXeyCAevEXHaM1s5vDr2/B6YnjnTUfKhkju8VExq47yGfn0tziZP7uR9QeWUrQiituRhd+7DVfrCWK5N1NV2UGyPId9/bksr/TiFAdJbz3T15aSEB8uZ5gFuYVkrZrGkhuaKS0+Tmyfl8CNlfjNAaJFuxgYOEJe5gm6dh4g2RtmWjLAzFvycEmEouzX6M3tJTfzaob6DlCUdYAKbzUul5sdDTNxLk2SdTRJd3GQrsIgGw4WIeVD+PyZzJtryLtrEXmDK5GD+3D3tNAdDZJXdAzfLZ2kogkaHE3M7YLA6gDFWcsw3jAudxzxNiMHjrJlcDdloSySCRfHOzzsaA8R338Ajg6S7dxNTm41TtfJgUKO0Yk5sY+UJ0U85sXZuZfp769gdl8PW4aqyPAJ00uhbncUX6wOX7cXz8EXKRxaRu5cN13uZrIGY8xYGmR3Zz7S4qLVvYCUw8neoQDL8mYwdCTA7MLpDE0LEk9k4vanWF9TzNXe6XibD9PSc4Q4GeQ7f8WS/JnMmHY9b7dDwsB1jjwCrR4SniSHD7SzbU8rK/MKONEYhYqlmFnFBA75WV0wjeLcVfxqxz5is7uYtcyHLwMcc9tI+Wo5mlxEVn0WBbm91A1VkBIhXNZHVSTO3ORyKm7NhUiEY57llKzKJjO2lw2HI7wRLuet1jgDzvvZGTtMwsS4afl0ontdXO/LZ8bCJby2K8za2VfjPuomtOdZAo0tdFT1k+08SNKdZF65mzzzPpKtQYr2t5FTfICdje24nTGK1mTzTt80CjyL8BY/wOHupcz3z2FGVQ1XrchlT7dQsayKuNlGIpninf35rIjvxut3U3g0gn9xkKOOZVS2VeJ6fyZbtxXQ1pnHTN99eNyQ7T6IcZ8gI7SckjkL2NExSOXshbhd1+DPOE5s8xDh1mIq5ntxBJrJcy4ib3YJOYnmkc9tfl8Ah8Mx6nPrICeYcZ7/m19YGhQppa548VQCh7+AJEEGEm4iMkCkH6JhH+F4Pi6XA7e48MR9ONx9xJ07CcUj+E2YWMLgcLjoC2Xg8XrxZlhf8hkZkOWPkDQxAlkJkol+xBXDlWE1bzD+PDIz/bhjbq6tXknUlUN/MogzmcAlPSSG+sh2JXBkJ3E5BfwwOJTE43Hgdp06kpTHWUAimcCZ5yPYL5xoiUI8genZi9/tgXCMDIeLUMLgpAe3L8yyAohnxMjIyMBpIgwmhIA/QCqRjd+dQWRwgFS8G19eAEn6iCRzyc91kXKmQHqJ9Vn9XsTkEk6G6A6mSIVckO0k6vASDQ7iEicZWZlkRBzYA2yRiOeQ8ucTcQ5h/A5injjEQHwpPF4fDn8hrpibhCQZCoVwR92EQ0Hoj9OXcJP0C7F4ChxevMRw5foZ7EvSPTSE2+PEybtHdcv0u0hJgmQyDiaMI+rCEfHgzLT6krjFjzPhIBqBoZ44GIj1A+EYZCYZ7E0i0SHixo0v00dGZgRj7BHlooN09yXx+/PxxH3EBw3RsIeAP8BAKoXT6WZwcIiw9ONI5eBMZuLJ8eJyZpNIJhiMBki4QyR6wRdz0Bvy0JcMEXAH6BkK43b56I2e7HAtGX4KAn4i4iXH5SfLHyGSkSA26CFT4iQHe/BnxunrvRrxFHCwOISJ+EhlRMGfIDoAkoiCawCAoXAIp8RIGCc+Vz+5fh+RaBjj7iU04MHlFqJ2VcDldhIxufT0JnEG8nH7c+lPBvH7PXhTBqc/wWAqSVYOeLPAFQbpj9NnPHi9YDLipPyGvkSIjKwAJpmDM5BP3JNNyh9jcEDoTQ5iwkIiaR2zz2lw/1/27jRIs6u+8/z33PXZ19yzMrOyVpVKq1WSAAPGwtjgpi2YhrYcDpsIEyPPhOl2T7snBs+MZ4Q9bhu33Q637bZHbmjTuI2MaRirbYMESCAEWqpKS+1LZtaWe+azr/e5y5kXmSpKRUpKgaAk8v+JyKjnOefc85z75HMz81fn3nMtTbMTYBrOd3z2Lx/DfkgqYa19P3WIba99DtwYWAoi+vh6exAz1qbrBkTNMigXYmvHGB2PZLyFsnoYKk7cqtEN0hg5E2V3MVUZq1LBSPRhWA1IRXQwcY21U9Uix8PKJ1CdDpZpkLEDtOWSyvZwVIBuG0SmgRF2iVyfSLVIJzx0M6D84DEIIJVKEJox3ESXQClwUoRmiAo8kvG1U2FDP4nvBiSVQSfs0VENPJIYhsUtt96GbRmk3zaJ6mUxfYUZQBh1IGhjZAMsZdChjtn0MZMhrjLwOnG8FoDG8WvUgwqWMmks5/C1BcqEVkSv7kGvjRN78Sppnu/hdzvoZohhNbC0T6yQJKt82tqkWweloFMJsKMmcQ1Gu4LuOKisjR8ExHSPZLxFzQswVJyeufYaLeLkYjaOn8CwbcJYj/ONt9Js2FRaCZxAE7RrdNprqxtalEglEiSTKRrraxZkDIukMjDbmjD0adZCMlZIr22j4zmsrEEcyJpJEokCq60WUWLtZ2Ot5WK6TRI2KMOCpo2Jprt+TPjKwOpZZF2HVCpBL7LwDBfSEcqo0Wy1qWmXpq8I6aMerl3HlM6ZeHXImibJZIpqy8HQWZzAJ2qViGodOqpBpFpELRPD9ogFadCQ0T1idoV2AD1lECsmqEcawixG4Z00vSQpS2GrMplkQCvQxFIpbEuzVKtRayoSUYeW3yXeM4ji4JtpHF+jchZekMJrQNoq0lM+jgox3DZRxyGZTIIyce0Chl3EjGt0LUCFCXJpiOwetulc/j11+bg1N74a56XKX68kFAkhfujZhkXULmGSJ235xHSa6W+azJ/Yi2v3KGSL+DrAs9tE/tpS28fnztFWcRxLEUUByaRPr9ulu76akedBve0SeilaDQvTyqADh8Bb++NGtSs0m21822dy237coEbGzBOaFoEuYCUy1AOLqG4ShBpakEqY9HoRfvDi/ynvhSUs0yL/zr0k4ybdZhZsi66fp+33IO7gRQFJSxFSwO/EGc0Y2J6D53mEKkbK0rTaLQyrTtv3iKXSGHaRTrmJNjvEzCrlaoARGqBzONm18KdVlbiZpJg3MJIB1EPcqIubTxHoEK/RxItFOOsLs1l2DSMoEwsTqHbE0tgiOKA7Jr1uB90uEzg+dmQRS6YYvFgknsyjnlji8VIWs61xbAOiLl0c1V8vhwAAIABJREFUgmqbVNakmEjg90JCXnyfHoBmO8DQFqZpg4oTuQFRrEfYDLFME1+3yTYy2LbJqX9YoKsMnAwQd6BhksqZaDuJrXxa1S7jN8+g1PoNiNwUxaxJu12mZ3ewUwo33qPVbpE2DMLQJ5VKENcZIlXDckN6tS5BWMcyLVJuC8tP0rNCOk5ELtkjayZp+S0KiTh+0CHnfvsPB+21KbXaqG6NWtCm0Y4R8yycVI+mtjFTBdpNGyfsonsl2iMOKtbBG7kIbQs3DdpyIVi7QD4RTxJqB0uFdIIM1XaHSzMXUH6OZKpH4Ee46yuHBX5ITFUp5EzCVhm/XSVj5mm3e3QNRdi2SMZCGjXoNiCIg87YZFWPbheUZ2O0FVkriddo0a29mbBVxu7VMdoOqYzm643DqLhe+2NJR3RChR8oUnGLMOp9x2f/8jFsmzTbwdr3U5n4fkjD89i+3SHQYLDKYnqAsJsg5lkYyTwtdkJ37Rgj7tLqJNGBQ6Q7dIIsMatBVA2JUicI9dq9uKL2KlGQhqZBnBBvfZU2o+cSVNrEzp8m4RSo+xYq8IgaMXraQiUijDAiMmMYno2hkzTaLipl0Z5aAgsazTbV2B68toulNfSamKGJtlxanbX/VTDtFrZn0dIRcdMhrtO4tIgin+Gx/fhBBHUf7dQIbU1ogWnEwUrgVw2ysQxxMoQpm7Bl4umIxRP7mD2SBBQ9O0vGyhPokFo7g60C0CEkDZyMC06CXrf7ovfetV3sWBx1vEeq/xiBsumWm9S0TUJFnHsyRGuI5y18I0VHgRnPoeI9dM3Htiy6yqHVSZJ1LSLdwQnXXiNJh2rXp2e3iXwfs+vQ7kxw7KlB8sk2PUthJbLEE2uLVgQUabbbtFpN0usrMNSjgJaOyB4NME2bVNakHpg4CR/VqRLUoAPUwhbtdpm+ZBKjvfaz8Ynjw4ReirYPOgog5ROiiK0fE7aOCJyAmtej1WqzZG7DjTxoGOgoSyqZIOF0Mf0KRq9ExlxbgbNRDXEz0KZFq9Ukl+wRqRo9y0YlihjZOHGdxtBJ9Ikike/StRqgoK4cun6ehAVzfo5uqU3GUGDWiNEl5bZoBhpfF6i3LLLxBN1mEz9QtNoxsilNqDTH58/TcSKMDqRjPj3bwG8GuFYTN62pByXOdSv0tEnkJTDiPVqtFugQzy8T+SXCjkJlLbTZptoAw3fww97l31OXj9vwqmXT171U+euVed99913rMXzP7r///vvuvffeaz0MIcTr1PEvnsaIjpLvGwE/wGxZtBwwZuMU8jZ+2WB40KbUWSVqTeBnlghOp/HsJHmVwXYa+Hjkm13Ktk2mP2ThSIzzywtoo0jzQpp0bgBPR1y64JIYadJ82idQVcyYxmiOUDo3zViqyLJToz8+SiwHS2Ecr+lhmQHL8xm2pwxmKsOkB88S17XLS9EuaY1TnqBQXKYWKoYyFr7po8Mb8P0AJxtj0WuxrRDilSdo1TJ4mTqj+jbq9WW8ToJoWbHYKZFJzNJdadE/2I/X2k5l7jiOMklnu5w+f4aEDvC82xjcXie82MHcp3CW4hS3+zSiFkOhjet18QqT9JkdSt1VnMEYLdemvVAlNwluqOlzIvxOhVx/DNcehgWPUrODH0JgzlOMXJbI4VQdksNFli/V6Fo9Yr5HPmvjmiGVSh+1hRmGBuJkvSFW4jX6F0ICL/GiZXpr7S728CIXlyfYZ6WIDTfpOBbKixHGPBqVHoGdxnaHWV2pEeRiFEYMiMewWzZ+pkO3ksS1Kyw3HdKZLqVmBVo5sjePk4hXqTXnSPTZJJIRXRXSdg1GlMvR+S5vvsVgu85Q9VcYHRhgaXqGktclr4ahsEzKSLFcX6LlJhh3e/QNjTG3UmbQzGMM1+irF5ipKyINBwYv8cwlG3t+lpXWJbpGH7leGiuZZXHBZOTW7dSbKeL+Kqq2SCE9gOfNkYwVabe6DKYtVp0BjOUMZXOZ6+zrKIcjeN4KvhrmbKPMiM7RrPYRGnXsZoJdAyG1MEWw8jXSbYdkusCFM+cYCeskE5qp5iUSsQliYRqdnCeop7CNFHPNM1gjwwxVWiwRpy9bZHW5QsEdprm6jB0lmZ+tkrTbmNU2RtIgCOoUC4pMN0dNuzjbAxy3R381y2J/RMI2UN3Si76/UaQxsiNUnh0hl1+lkrIptUY4PxewO+6yqqfpGBexdZG4F5E3+mjkk1QrA2SiDq1KQJhMsjAXMDiYoL0YUrVTFFMzdEou7e40vXAXtjlHa8nAC+Ok/Sb1CxDkuwwXbGrnepTOhQwXA85MJ2mHipjjoco5Ll1qki1WMCsJnOI2Siegaxap9QxSA9txYzZWPMHxlQqJ+Ail400sM062a7ISeQSxUcLmOfL2NlacCwx6mtmgyJDZINlO4YcNMrkmjtpG+dIFVClJy1mhFVj4VgK7o1AjQ3iVIkFaMVkYZ9H3yC3FWQhb9C4l6aoYxYymk9jBcKKfwFuhbOex/Dlw80TFecZGM3SKO7CXe8Ti2y6fDuXbJ1HVCXpWgJn0KUQT+PVploNRtpl1wpSJDi3MmMfFuRiJkQxDyQJeYRlvIUEUCzDdBLWLBgkrSSzRQQVdGuYAu6MpGkmLROY8fhdco4OnV+kz9zI2dJZLqy5OAXIDJn6pSzVxA/XaLK1OjW3FSS40oBzMotMVRlVIJT3Jvv4eyyokm1ZEDZ9A93OuOk3TqKN6Vbb17SWsLOKRpNkKMasJ5kol0q0Cqck6ZipFxg9Z9XOYC0/S9eJ00g5Rs40xXMBYrODqJumBAZqrJrFMg1R7EdetMGHCXLhMr1ogN5TAsxapn2+Rnmiy3GzipyPa3SyJ7RbZmouX6Mdtx+lZebpcwFQui9kc3V6OfH6ORnk/9rJDJuxRKNbJuDE63Rki16LbLbC82GTPziwrs8s4aZdYewgj4dBqhqhmSKdokC33UdiZYLHk4Fqr+L0yw30ms6VlfL2NZtAi1UtiRQGrCz0iN8l8Z4Fsepq4V8UZd1C+oqMSGO0OrRWTmW6W5MBphmpxFvsjrNlFEp5z1XEbUcl1mXjP+35Av+k352Mf+9jCfffdd/9GdRKKhBA/9O74wB089Z+PUfW67JosU61vJ1KrZAcd5p9rkh3Yx/Gpi7zlHQXqF1aIWrtojs2R8F2C6hSVhZu49U3wtdlZ9i7nWFYGhbe2yF64gblLT2MOGfScAZjtMTbkcuFcguI75qk8Pkq3r0Y6qDFx3XbOHAvYNgDHLrXoG0oS6yyh/DFWNewfqXG6o9nVmeH46s+T7D+LHdQxDE0unGZuW5bOMzdwYO8Fnq1PMOJEVL0pgl6e7GCPcKmAmckQJM5T8FMslQepcpCxxH4als/o0ByLp/eCu0IQSxALFdlim+rKAFV9koKfJzO0g4b2sMvPMWceYHh3B+vrpwl+9CaSF8swkGDmfIfdOyr4zQEumHF2LnUoFT3Gsxk6aYfOc8/QLWZJxfdjRl3mFi8RH+3Ql7+NqDlDvF1jJXELen6GnRMJTnTqDDkZUBZ2o0K3O0rH6dFqLDE80cKo3IAXX6KYblN9Zgflty9QnA/o9WIoFCEhhlVlKPUm9tz5FJ+dmmDbqsno4DKzKyYFdxK/eI5MlKURnKdoXE+526NaWabYZ1Iv22wb6WPerpDqJFCrdRqxIuMTbSqdVUqnLG7aN8ZMvYRrgG8WGY5VuTjVYeRWm+EAvnHSxsoYFGNdek5I1pjAtM/TCHqM1UY4Va+z40cSLF7skkvatJc6qFGXtFHn/LNFdt61wHCzwFLH5mtH8rz/HSeZbY6gm2ncoE7XDjBidYr9Y8w/v0Qi5pEYz9KomNieix5UlE5PsXfyZmb0DCPlIu4OjbFY4LCeYVQ3GBq9jXPHLzKSy7Ko6uRycQqRz6XmAo1aP7v7AhrRu+k5f82wPUbPtHhutc1txjBGELEyfIz6pX7unJzk6IXTBFaCXbtuZvrUNxjdVaA+26O2rLnx1htYKJ+n17Np2WX2FV1mZm3SmTGS0RnKwSR1q0kieY593RzPnN1DbKxBYvt5nK8kqN0wgmtC1KpgGGurzxW3v593/fS/4zifpP2tOxnKXMIsHKZmXc9MOcmuaoHUwDxOf8Cp+RHy0QJ9+QQLpRKel2O0L4UfW8SKdnHyxBlu/Yl+Vr9lkB93qdbaeIZDyqzgRfso5A8yv7ATU7W5+VbNk19M4Oc77Ll5hN7ceSo+jKb6WK7MEZTzZMZ80skxZhsNVPUMWhcZvXkYPV+h6cUI3SpdI0u3ssj1iRGOd1bZtv86uqcWWUjP8SOxN3FuYRp/KItXn+LNqd08stjl5t0rTJ3dSzq3wHDO4LnDJunxZfL9b6FXfopYooibyNBpNjHiDvXnq6S3h5iFEVam5hnYPcB8aZVJ2yA5lGVpMcfCnM345DRerUCnL0O2cgSr8GYS1aOsRG9m3jvGRFdT39HFXOxgWf2YlkW2cQPlvU+QvjgCYY3zqSa5uQHi43PoXp7GaogfwfC2LOk8nDkxh58ZINf0MWM9UuEIc7Fpxvp3QfMsy8E2BvQqpt9kIX4r5vwRnKEb6fjn6e8NkBsscXp2hmziHajsCbq1XdidkNiuZTge0RwdwvYWsPwS27JjnAsHMHyPhra40znNo41JRqIqdiGDbi/SLrtM3DjO1JkyRqLBSMyj1dlPc/UY+QmXSjVJLj1Bz/wycxf2kqJHbtwj7wfU3Z+hrr+MM7eCcnaTLHZRiS7nj2UxXY+3vcnk7CkTL+XTXehh50fZZTkcbR8n5qRI2TlUvE5feYSLapZcMo2dTDB/HtKZLqZvEBsJWT1bJb99gsg0sFeX6ZHFigbRySOsthOM9rucPhUw2d9mdHQ/R2aep5jeQ6AbhHUHJxPS8RyiZIkJs8tyajf+uTLEImrdRfYkCjQGQtqn9zG+f47nFlpsj1m0Sz52fic1Yx7HXiarXIphnFIjxrxnYhUHSPYu4BZbdKY05vBunOzzDM6FHGu9j+wtjxD/ikX5n4xiXFrA6ZgYysAPAyq57uty9bmXC0VK643P330jOXDggD506NC1HoYQQgghhBDidUopdVhrfWCjOrmmSAghhBBCCLGlSSgSQgghhBBCbGkSioQQQgghhBBbmoQiIYQQQgghxJYmoUgIIYQQQgixpUkoEkIIIYQQQmxpmwpFSql3K6VOK6WmlFIf3aDeVUr9zXr9U0qp7evlRaXUo0qpplLqT67a5jal1NH1bf6DWr/jk1KqoJT6slLq7Pq/+e99N4UQQgghhBBiY68YipRSJvCnwHuA64GfU0pdf1WzDwMVrfUu4A+Bj6+Xd4HfAP7NBl3/GXAvsHv9693r5R8Fvqq13g18df25EEIIIYQQQnxfbGam6A5gSms9o7XuAQ8Ad1/V5m7gU+uPPwe8UymltNYtrfXjrIWjy5RSw0BGa/2EXrt77H8B3rdBX5+6olwIIYQQQgghXnObCUWjwKUrns+ul23YRmsdADWg+Ap9zr5En4Na64X1vhaAgY06UErdq5Q6pJQ6tLKysondEEIIIYQQQojvtJlQpDYo099Fm++l/Xc21vp+rfUBrfWB/v7+V7OpEEIIIYQQQly2mVA0C4xd8XwbMP9SbZRSFpAFyq/Q57aX6HNp/fS6F06zW97EGIUQQgghhBDiu7KZUHQQ2K2UmlRKOcA9wINXtXkQ+ND64w8Aj6xfK7Sh9dPiGkqpN62vOveLwN9t0NeHrigXQgghhBBCiNec9UoNtNaBUuojwEOACXxSa31cKfWbwCGt9YPAJ4BPK6WmWJshuueF7ZVS54EM4Cil3gf8pNb6BPA/A38JxIEvrn8B/C7wWaXUh4GLwAdfix0VQgghhBBCiI2ol5nQecM4cOCAPnTo0LUehhBCCCGEEOJ1Sil1WGt9YKO6Td28VQghhBBCCCF+WEkoEkIIIYQQQmxpEoqEEEIIIYQQW5qEIiGEEEIIIcSWJqFICCGEEEIIsaVJKBJCCCGEEEJsaRKKhBBCCCGEEFuahCIhhBBCCCHEliahSAghhBBCCLGlSSgSQgghhBBCbGkSioQQQgghhBBbmoQiIYQQQgghxJYmoUgIIYQQQgixpUkoEkIIIYQQQmxpEoqEEEIIIYQQW5qEIiGEEEIIIcSWJqFICCGEEEIIsaVJKBJCCCGEEEJsaZsKRUqpdyulTiulppRSH92g3lVK/c16/VNKqe1X1P36evlppdRPrZftVUo9d8VXXSn1r9br7lNKzV1R99Ovza4KIYQQQgghxHeyXqmBUsoE/hR4FzALHFRKPai1PnFFsw8DFa31LqXUPcDHgZ9VSl0P3APsB0aAryil9mitTwO3XNH/HPCFK/r7Q63173/vuyeEEEIIIYQQL28zM0V3AFNa6xmtdQ94ALj7qjZ3A59af/w54J1KKbVe/oDW2tNanwOm1vu70juBaa31he92J4QQQgghhBDiu7WZUDQKXLri+ex62YZttNYBUAOKm9z2HuAzV5V9RCl1RCn1SaVUfqNBKaXuVUodUkodWllZ2cRuCCGEEEIIIcR32kwoUhuU6U22edltlVIO8DPA315R/2fATtZOr1sA/mCjQWmt79daH9BaH+jv73/p0QshhBBCCCHEy9hMKJoFxq54vg2Yf6k2SikLyALlTWz7HuAZrfXSCwVa6yWtdai1joC/4DtPtxNCCCGEEEKI18xmQtFBYLdSanJ9Zuce4MGr2jwIfGj98QeAR7TWer38nvXV6SaB3cDTV2z3c1x16pxSaviKp+8Hjm12Z4QQQgghhBDi1XrF1ee01oFS6iPAQ4AJfFJrfVwp9ZvAIa31g8AngE8rpaZYmyG6Z33b40qpzwIngAD4Fa11CKCUSrC2ot0vX/WSv6eUuoW10+zOb1AvhBBCCCGEEK8ZtTah88Z24MABfejQoWs9DCGEEEIIIcTrlFLqsNb6wEZ1m7p5qxBCCCGEEEL8sJJQJIQQQgghhNjSJBQJIYQQQgghtjQJRUIIIYQQQogtTUKREEIIIYQQYkuTUCSEEEIIIYTY0iQUCSGEEEIIIbY0CUVCCCGEEEKILU1CkRBCCCGEEGJLk1AkhBBCCCGE2NIkFAkhhBBCCCG2NAlFQgghhBBCiC1NQpEQQgghhBBiS5NQJIQQQgghhNjSJBQJIYQQQgghtjQJRUIIIYQQQogtTUKREEIIIYQQYkuTUCSEEEIIIYTY0qzNNFJKvRv4I8AE/pPW+nevqneB/wLcBpSAn9Van1+v+3Xgw0AI/Eut9UPr5eeBxnp5oLU+sF5eAP4G2A6cB/651rryPeyjEOJ1bGq6waHDFVqtkGTS5MBteXbtTF/rYQkhhBBiC3nFmSKllAn8KfAe4Hrg55RS11/V7MNARWu9C/hD4OPr214P3APsB94N/Mf1/l7w41rrW14IROs+CnxVa70b+Or6cyHED6Gp6QaPf7NEqxUC0GqFPP7NElPTjWs8MiGEEEJsJZuZKboDmNJazwAopR4A7gZOXNHmbuC+9cefA/5EKaXWyx/QWnvAOaXU1Hp/T7zM690NvGP98aeArwH/2ybGKYT4AXgtZ3YOHa4QhvpFZWGoOXS4IrNFQgghhPiB2cw1RaPApSuez66XbdhGax0ANaD4Cttq4GGl1GGl1L1XtBnUWi+s97UADGw0KKXUvUqpQ0qpQysrK5vYDSHE9+q1ntl5oZ/NlgshhBBCfD9sZqZIbVCmN9nm5bb9Ua31vFJqAPiyUuqU1vqxTYxnrROt7wfuBzhw4MDV4xHih961uBbntZ7ZSSbNDQNQqxXwG/cdp1Lxyedtfua9w9x+oPBdj1sIIYQQ4uVsJhTNAmNXPN8GzL9Em1mllAVkgfLLbau1fuHfZaXUF1g7re4xYEkpNay1XlBKDQPLr3qvhHgDejUh54UZmxcCygszNsD3NRi91jM7B27Lv2g/AKrVHpdmuwTBWlml4vPXD6xNOEswEkIIIcT3w2ZOnzsI7FZKTSqlHNYWTnjwqjYPAh9af/wB4BGttV4vv0cp5SqlJoHdwNNKqaRSKg2glEoCPwkc26CvDwF/993tmhBvHK/2tLSXm7F5rR08VOY37jvOR371OYIg2rBNMmluWP5Kdu1M89YfLV7ePpk0WS35lwPRC5z0ER498m/4g09/gPs//8ucnNn0pLIQQgghxCt6xZkirXWglPoI8BBrS3J/Umt9XCn1m8AhrfWDwCeAT68vpFBmLTix3u6zrC3KEAC/orUOlVKDwBfW1mLAAv5aa/2l9Zf8XeCzSqkPAxeBD76G+yvE69KrPS3t6pmZcrnH/EIX39ccP9F4zU43O3iozF8/cAnfXxvb7GyX8fE4hvHtM2N98xnKPMQffLpMOlnkbbf8PPt2vP0l+zw58xjfeO6/0miVLre/559/u/3j33zuRe2ThaP0TfwDhukD0Git8vCTfw7wsq8jhBBCCLFZam1C543twIED+tChQ9d6GEJ8Vw4eKvP8kSrr/0mApw7TNb6Ipooix3ve+qEX/fF/cuYxvvlYBqWzwFogunipg9ZrASI/+iiWUyNmF3jnnb/wqoPD1HSDrz/1ZWrBP3Dh6C8Q9nIvqs/nbLZti2FZBrjP0tB/Sxj1LtdbpstPvul/2vB1T848xsNP/jlB6G3Yvlyf4vd+r0KzYV+u33bjf8B2awDY4a3E9Hso9nuMbp/GjfWwrSQjhQMUMrte1X4KIYQQYmtRSh2+6lZAl23q5q1CiNdOuT7FkRPnODO1ysLKBVYv3sVNN+RQysZTh2kbn2Wob4Ad47cQc+NUO0c4OlXnxl3v5eDxz/L4c5/D6+yl4Pw8puGyuNxCa+NFMyp2eCtRN8bff+H/ZirtkbAAO8X+t/waQzt/6jvGtDj9EA9/+Q+pOXdhmdtpq8+D8gl72cttduwusf36p5hfOU6z1yUZz9H1OpcD0faEQ767Al6bxSd+C7v9C+y64Rcv939+5kEOlSoEoUet1mbQLnDXdTeRSyRpLR7k2c5FQrvNmw8UePSxSYLQZFvuaWynCiiG3R/Da7+HbP8q47tPM33+DBePP8FI1mB6/GvEiy6BCrGx2VW8i8nxf/qD+HYKIYQQ4oeAhCIhfgCOfvJfsGj3sHwbc/x2qrOLxKJp2rMf4gNv+SIXL8Tx83fTs9YC0b4dN7Hy4Ne5+HyR89UEQ8Y3qP/c1znYvYR6TvPWWzpcfP6LJG++iNddCx6jE/8d3wwZn/lJ6sXnWWw8z4+Ro9q7k/bqIiPNHCe+OccF40s0jYtkbjpGdTGgZQbMlpa5/c5/xsn6W6jp3wHHZ3yun2WjRytyedctn6O25DE0XWTx2evZFtZx9mSY6T/MaHcC2/fJ9Z5j9fAkz9d+jJNdC76geDt/TGHfUfITBkb5Zryhr5CZAydT4Mcnf4InvhjnGwsxrp98nB+9O0003abvmSpDRj8T6afoH3uQY8E2bmrewHz6LiIsxsaPcvHgBaYufYPdgzHsbXuwCxZLT/ejz8VI7Rjj4NNP8x+LUzTdR/DDErZZJKd/kt/5f/7FNf4kCCGEEOL1aDMLLQghvgcvBKLg7AqD+wtYlxSNcJqbvEHeOf555o+fYfviKd7iPkioAvaM7mPlwa9TebbAqWWXIeMc29+aYP5sgpGDaW6/ZYKlJ32C1NMUM3ESqsv7J/8S3wjZ+8wOEsY5jq+c5W1Bnmr6RnRjgZFmjlr1ZrLWOE3jItmbjlFd7FFp9qMXetw2+k+on+hSPPssgd2h78zNjAW38baRGLfn/oLoTIpd+SLPPx+QD+vc/CNvob74FGOdSRafT5FxTlA6PMnz1R/jpOegDIu3U8UaXMUMllClGzk9F7F/Nc/hSoUf3/FOnnwkxiNzca7PnMRo9bN8vEH0tMfR3q2MmB3yw1+icvEuBp+6gfEUdHWCkdrnSC07PHb2GW7NucypAm42TungAOrCWiAKnj7OwWKBmv13+OHainx+WKKk/xu//n/+8TX+NAghhBDi9UhCkRDfZ8Vtq/TGFd7xDpnWNOPbK+y4cT/57gCx/HMYR6v0eWmyXo6YZ2IlXE59Y5EL9SRBqFmuzTEWv4mp57qES3sYLczTXJ6kPNZlbDjHRPUCduEoRtuhMzvK/uvPUPdb5OeH4aYubmaWof49JBnGMAzGt0e07Gk6p1aZOdulO7+fxMo4Q313MrZyGNdLMnuiQ65wG/v7HLL9J2ieNJm4ocD/d6SL0+rHtccZmShz685xvnTUwzC7cL7ESc9CqbUfK7XqHM+2J1mpl9iZvJWDc3FiiWl8s4s/ZHDGv45Lc0d5biVP4UKe419YZWU6STg+RuzSLLbTZfbgMyQWjhM8t4rWmr17TpC2PZp+DdftEJoB2vEYvaUPPaVpx29gZrFH032ESPde9H2IdI+qevhafASEEEII8TonoUiI7zOlepAxiToKM+xipkzi+SSOGycIO1gdoBVCT7FnOkVQadOqdmh2AgB8HZGw0rRqIVrHcRMelrIIEwrHSZCvlwjCDqnjO/FDCzcNWTOJ6TmodIAZ72C4Dra5tnhBKmERUiGodmiu9xm1LZLJFA4+O2bfTKfi48RiAKQTHoaKYzg+jSjCa8cAFyMRkcqa1COTsJPA1ID69tLcfhRQbZqERhs3kaOHTeR4REEKUiHNQOH32nTDJE7g06n4eJ7CjTkEXY9q06XdLBMGdXQzQClF3KpjJgIcq0jbz+P7IWEvTa5oYYRxvDBOsxNcniG62kuVCyGEEGJrk1AkxPeZ1g7UQ4y4RhsxomZAt9yi53WwzDhBHEia4GiGqjbVr54imYuTiq9d8mcrg3bQIJk1UaqD13YJdIDZ1vR6bVxXY5lx3NksthngNeBd+QMEBOiGRdiJE3k9/HBtSetmO8Akj5WLk8qaKLoYiYBWq4mPTd/KEPG8Ta/bBaDRdgl1h6hnkzYM3EQX8IjaJq1aRMYIqZ/eR6gA/e2bY+uKAAAcF0lEQVSlwm3DIpcKMaMkXruKg4/RcwlX74CmScrS2E6CmNmiZ9ok4nFcV+N1e1gxlydP7CSRKmBaGYjFaLeadIIMYctiZ+GDnLn0EzRLEY0Ld1AtBURmB9fskIpb2GZxw+/FS5ULIYQQYmsz77vvvms9hu/Z/ffff9+99957rYchxIbOf/3rdJohhtlDqTys1pm7UMJ2I+wgwVK4gmPHsEYSdFs1mlFAYcIkVneodG1GUxpjpEwyXSRszBPvH6VTX8IKPJq1Lv2JJDo0qYUNcm5IaUGza3QHc3NVAiNJ0FCoSptGN4lLhqVqlXR/QBBziadzWN0WhfEcywvTOIlttKJpnIEcRqtBKjPEheUL0POxtEvO0thmhf7BDK3FgHYTkpaiXFGk+xRRtI2V0EApxZ6YzWh+noQ9RKOyQCptYXVTmLUkRSuHWatQZhu3FC/R6xUoOj7KqeBHOVQmTcKvkx0bI4y24Ts+tdUOoU4S7wQM5fZy+kiLsWSW5WmDoNnBdDSJlEe2VmbVuZ6eOYXm2yHNUA4F/ik/cded1/DTIIQQQohr5WMf+9jCfffdd/9GdTJTJMT32Y2/9McM+Q7W7n4Wz63QdnrsjpvM9SqosMC+3bu4oOdYOnaG5L7tDIQGRi9NZu8S1w14LEaTnH+8TSF3EXt7kenHykzcliG+NMTqcoVK/jxGbZztkwElu0HU7mf61DEmbt9N/9EAUsPMp6pkc89TCy6SisapHbmB3JBDPrVCNOYwfeIIA8U8FdUhbg0y1Gkz75eYv/AMt/Z/GHOixdlnFrl1T4KKmeH5Z77F6Ohb8UtVbtttY2ZdFlr93JB4gn1uDx0FPEaOYKmPrh+nTpVxo87F5hi7t9V5+vFLbJ9U3DXa4UR9H0FxnqYxQMtPk118nI5hkEreSbMV0e3zKbfy7OQcM9P9XKgGpNrP8667dlGa20E6WWX5fBq/P0lz5hLWHfu5vVQm6999eWbINosU1T+T1eeEEEIIsSG5easQQgghhBDih97L3bxVZoqEEEIIIYQQW5qEIiGEEEIIIcSWJqFICCGEEEIIsaVJKBJCCCGEEEJsaRKKhBBCCCGEEFuahCIhhBBCCCHEliahSAghhBBCCLGlSSgSQgghhBBCbGkSioQQQgghhBBb2qZCkVLq3Uqp00qpKaXURzeod5VSf7Ne/5RSavsVdb++Xn5aKfVT62VjSqlHlVInlVLHlVK/ekX7+5RSc0qp59a/fvp7300hhBBCCCGE2Jj1Sg2UUibwp8C7gFngoFLqQa31iSuafRioaK13KaXuAT4O/KxS6nrgHmA/MAJ8RSm1BwiAX9NaP6OUSgOHlVJfvqLPP9Ra//5rtZNCfLemphscOlyh1QpJJk0O3JZn1870puuFEEIIIcTr3yuGIuAOYEprPQOglHoAuBu4MhTdDdy3/vhzwJ8opdR6+QNaaw84p5SaAu7QWj8BLABorRtKqZPA6FV9CvFdeamg8moDzNR0g8e/WSIMNQCtVsjj3ywBXO7vhfpyucex410e/2aZdNrif3jfCLcfKPxA9lcIIYQQQnxvNhOKRoFLVzyfBe58qTZa60ApVQOK6+VPXrXt6JUbrp9qdyvw1BXFH1FK/SJwiLUZpcrVg1JK3QvcCzA+Pr6J3RBbwcNfXuTCxTaGoYBvB5mlpS5np1qsrHjML3Txfc3TByvc9eP9vPenR17Ux8mZx3jwoafIGO/DcdYOEU8dpmt8EU2Vv/9WnhtW7uD8qTtQOku53OPipQ6J/FEGRx/Fcmo88nyWpdoHeO875exPIYQQQojXu82EIrVBmd5km5fdVimVAv4b8K+01vX14j8Dfmu93W8BfwD80nd0ovX9wP0ABw4cuHo8Ygv56lf+NUvLQ7QbKZTzdvZOnGe59w+Mp5IM2YM81zzPmalfpt48wtzcPt5xywMMTdxIJThIp9bmT/6Ps+SGh+kbizHbGKTRHWH+9Dvou8kEwGr9OlbGYGKmhz6lWb1lgSM8RFb/BF75MVaWdpDIn2dw8u8Y0m+iVqvQ1zeHmvkETy7+PiOFNLZp4ocGfbf8SxLDb7/G75gQQgghhLjSZhZamAXGrni+DZh/qTZKKQvIAuWX21YpZbMWiP6r1vrzLzTQWi9prUOtdQT8BWun7wmxoRcCUSFRxsk22TV2nuXe37M9nWJbbIznmuchShFLPszC3C7eccsDjO68hVpwkFa9hTpWIpecoH8iQbm1n3jeZ/7kbdze/1noliiW/ldURlGY6uId7tLd2aI6Guf61CRh/avcMPEUbS/F8PZ/ZEi/iWqtRr4wS7LZZCBVIXhqmMpnhqh8ZpjKZ4o88zv/L+2Fx6712yaEEEIIIa6wmVB0ENitlJpUSjmsLZzw4FVtHgQ+tP74A8AjWmu9Xn7P+up0k8Bu4On1640+AZzUWv/7KztSSg1f8fT9wLFXu1Ni6/BnDxKE76bfWKSunmdn/gKxfpMhawDDsLi4usqevjgTe12aTZcbJvpIpFqovIF9rMLpr5XY+e7bYHWKMHw3k6OTdPwUzrMnmezeTyK+QP3ULOHxEELNgrdKiGZo3x56Fz/F9tFJUnabUPWIwp/ibO0Jbp+8EUPP4z0xRL6exbFslFI4lk2+nuWZj/+na/22CSGEEEKIK7xiKNJaB8BHgIeAk8BntdbHlVK/qZT6mfVmnwCK6wsp/Gvgo+vbHgc+y9oCCl8CfkVrHQI/CvwCcNcGS2//nlLqqFLqCPDjwP/yWu2s+OFj6xA/SNHftw+v18XUYFgK04oD4AUBqdpZYm6cTNIjmUiSDXwCFXLu6TqhH+KmU1iE9IIUsWQCN6hitjU7t5cw4xqv2SLs+AD0epqE5aJNA89vY1txdqw+BO0IjySNTpuEHcO2NOlqGsN48SFmGAbpcvwH/j4JIYQQQoiXtplritBa/yPwj1eV/V9XPO4CH3yJbX8b+O2ryh5n4+uN0Fr/wmbGJASAr0xiRgXbTuLaLpHS2FgQdcGMk7BczLBL1+vw9htP02q3SCaTWNqkVe0A4DUbBJjEzAqdUpO97UcJ4uCkIFxQuMkkfhThGCaOo7i5fwcqjEgkk/h+h77lw5Se7ODeWScbT9DuefiBwjY3PrxeqlwIIYQQQlwbm7p5qxCvV3Uzx47Ul/B8jzHXwPcX6e9l8RtnQYfsL47ja5P27EX6U4/y3MGjaB1AOSSZW5uxqZ85BH272JP9ClP//Qi3v9WjnAjoNcH3CwxYw9QNn0hr9mxPM+LkKZ85x03X3cLUqWmcbAx3FUYvPsY7r7+RledmidQIfhhsOOaXKhdCCCGEENeGhCLxhjYc20EneJr5S0vsTg6wPH+BRLvFQqND2DhBruOx6jlcH2tR8RUppVk4P8WN2b3svWsA0zaxFqrolkcsPkU+FWOp26MvZ3PhjMkte2wKjk32Ooclv01wymX+2BH2DgyT6caoXmpi7okzPtRH6fhX2d4u0plv0debYCXZJIqiF403iiI6Y3L/IiGEEEKI1xM5j0e8YWx089W3ffCP+Mbf/irLF5/EVZPEEllapUsU01lWKh4Ze5GGn6fR7nJdzqV5Q5qpZ2ZpLbS5+U23ETNiPP+Vi9z4Tqj0LrFz/zCV6Q7tVJbVcovosMnu/R0GFvuYqq9wZqbJUHCJbNwhs2sPN1gmi/Uulw6dIDuQ5tQXnuGWn5qgVYqIddKUdItsEMM2LfwwoDNW4E2//TvX+q0UQgghhBBXUGuLxL2xHThwQB86dOhaD0NswpXBxnEUSik8L7occnbtTANw8FCZrz6yTDZrY9sK01y7BG11tXf55quOoza8+aoQQgghhBBXU0od1lof2KhOZorED8Rfff4vqK1sI7TPEtffwglvpcf78Rr/SN+owmo+ytRXl/nSwyl8/TOk4ikSfTUKfJlsUGbB+GMWLsyyWBnmup2P46afYWe8wQ5g4WETPwhZjooceO8nr/WuCiGEEEKINxi5pkh83/3V5/+C0mKM0DpJLPom8Y4mjL17LRCNGFjNR8gES0yFKXL9N5NKL9GJVhnUD1PUJTqZPjqlo5Qa2bVAlHmWnfEGe3IGjm2t3QPIthixKxz6+1+61rsrhBBCCCHeYCQUie+7sP0W5uZ2M7PwJXozC+x4y5vQYZpzl25ifG+OhLeCYSjOLDTZcd04nj3NzMLDZMMKhqGIdyt4C3+F52exnLfSpM6ONBveA2jAKF2jvRRCCCGEEG9UEorE913gx2k3XZrtJl6zSSydxna7dHp5nJiPba1d19YOIObG8XyPZrt5udzWIVGvTNwuY9hFAmViW+aGr/VS5UIIIYQQQrwUuaZIvCoPf3mRc+dbmKaiVPJYWu7R62lyA8fJ5RSOaxE4D2FFk3Sb4+j41xhyf41EysOMJ3Gx6DYaFIZOEHcK9Lo2fqBwbEhY0PU6uLZLMpHED1o49toNWhNxi/0jX6LnfxDLDPEDcOzv/Pj6QXgN3hUhhBBCCPFGJqFIbNof/fmjJJ1t9O/6DBdOX4+TzPG2934dxzY4/uwkiUSCwcmn8Ft3cO7sEo7+DH3JPkLrq4yO5gmYxBmqMvOtJ7F2z7F7coCLp2NYbj9WsMye4TQzpy4yls3g9fvUTIdiVKaTzDM4GaDdKardh0mRYaZRZ08uetEpdFEUsRwVGb+G75EQQgghhHjjkdPnxKb857/9BAlngMLkZ+j5dSwjzfb9X2d8ZJwzM1Pk47czOHmQwYEBls/N4USH6Mv1UT56msq3/pJ0voyt3kqjl6MTV4TnFkjvWKS62iJI3UXdGmSX2aS68jyNdpqd2wrMBklKqki8vorKWeB5FOLPYHR3MN1Jc6Ya0fMDtNb0/IB5Py+rzwkhhBBCiFdNZooE/+5PPk3Tf55kMonXqzE4tszcmTsojpyHoEjQ3kvMugnHijM20kenk2Wkb4l4chhDGUS6i1JxxocnKXXP4sfPw/kFGqtVoiAAoPLEpy6/npdK8T/+28euGsWvfs/7ITNEQgghhBDiuyGhaIuamm7wxJMlpuceRVsnSKWTdL06g2PLzJ65nb6RCxAWCdr7SBSfwWoeIKKCaTikkg7gAw4ASucu10XaB1tBL8TrNTd8ba+5cbkQQgghhBDXgoSiLeDzD/8RR0+dJujsxnDmiKs7cOM9Os081eWdDF3/IMnwfydM/Fs6HYv60m38yNtPM3/k/2/v3mOkOs87jn+fOTM77A0wy8KGu2OgAWxKCnHzh+O0dS25rYwTxVUwdhWrrlKrjayqrdRW7j91W/USKZc/ojpuEjV1IThxG5VGSq341lxUp4BN7QKFbvACy4bbYpa9z+3pHzMLe5nZPezsXM7u7yOhmfOe933nmTPPzO7DOfPuAyxKxlmx/mV63u6FxlfJ5loZHk6TbGglFowSD5I0231kE6+QybUQswSkc8SbGgliQdECKNnSUoOjICIiIiJSnIqieeavvvgcV67kaGqKY+akOMaiplFyI5uJJXrw9Gq8+SSDA9tJ2+tk0nuJx40G2ojHjUw6RybdSqIhoCFoA4NEQ0A2+RJNjTHO9pwjnU6zeuVqrly+yrpV62hq6SeeTHGu56esXNlBc+I8Lds2k81kSL9z8sYldACxeJxld26p4RESEREREZlIRVHE7PtGF11dQ4ymcgCMZk7R0HSV4XQncVtOKtVIc1OSmMUwlnJt6E02rGjjwtlH6Nj6fS4cf5CmrV/gStdH6djSSbynn0zGSWV7yeA0NgXEE/2kU1lS2V7iQZx0Kssd2y/wk7c7wJtYuvwa5y+ep6N9FWd7zrBl2xpOHGsnsGEuXuph286f49iRt2gJGlm2/QP0n+pidGCAZEsLy+7cwt69X67pMRQRERERGU9FUZ154Ztn+cGPrrJyRQONTQFBDLI5CGIQC2IM9KcZGSkURLlTJJuuMpw+jdHC9dR/0DD8DB1rMxw79wx3rfk83dczhTNAreNuIZPKby9eeYThaxsJWr9DemgDy9ousnjlEc52NkLy3xkZ3ELuzDLWbLzGHdsv3IgzmcvRPzjMxz/6FwDs2jzxeXxkW9UOmYiIiIhIWVQUVdmhw1f5+vNnp+1zoyAKjGzWCQIDoLkpoKtr6EY/53bWr13LW13/QENwG6lsL7G0kYy3kcr2kkjEiMdjZDJOPNE/7jZHkLhOJuMs6fghfRfuYWDgPM3Ni7l4zlmz+dCN1efiTScY6t1BN0foWN9HoiEgncoSpNfy4D1PV/RYiYiIiIhUQ6iiyMweAL4IBMBX3P2vJ+1PAv8I7AR6gU+6e1dh358ATwBZ4Cl3f2m6Oc3sduAAsAx4E/gNd0+V9zSr4xO//k/T7l/UuITFi99HLBaQzaYBCIIE2WyaIEgAYGYsX54sOUc67eO28gUQ5Ehle2kI2ognnNFM/n46nSOZaGZkoIPFK/JnhJrbjnL9yhoalrzC8LWNXB0epftkM6PDP0uQSGHA0XQDsViMXG45LS0NmBn9/XcRixm5nLN8eTM7d67it/d9m97eQZqb830GBkZpa8vvO3Kkh97ewaLbj+7dAcC+/UdnbLv3I7fz/R+8W7QdmHZfmP1h+8ymbzlj5nJ8peer9eNEJY7Zinr8labjM7/p9RWJrqi9f83dp+9gFgCngPuBbuAQ8Ii7Hx/X53eA7e7+pJntAT7u7p80s63AN4C7gVXAy8DYhVZF5zSzbwL/4u4HzOxZ4L/d/e+mi3HXrl1++PDhW33uc2qmggigtbWDpubbGB7qA6CxaQnDQ300Ni0BwCz/t3RXtKdYvbqd8+cv37gF6Oho439PDt6Yz8mxaXOGN0//IbmhO1m2dCO5zBKSSWd4IGBx63qGR7rpG/0RTY0rSA2u43JPA+2rUlzuSbB0xTWuXVqK54K5PhzTCgLDzMhkctO2JRsCfuEX38/rr51mNJWd0P7kkx8G4Nln3yi6b6yYmm4/EKrPmFvpW86YuRxf6flq/ThRiWO2oh5/pen4zG96fUWiq17fv2Z2xN13FdsXCzH+bqDT3U8XztgcAB6a1OchYOyvc74I3GdmVmg/4O6j7v4u0FmYr+ichTG/VJiDwpwfC/tE693gYC9mMQYGLjMwcPnGfbMYZjFy2Qy5bIZTp86QTvuE21OnznD8+LtkM31kCv9ynKHz9P8w2nsvQ1c+RNeJds6/G3D6xCJ+ei7g+DvnOdcV5+rZe+g+uZlL3YvwXKxwG/DehbaqF0QA2axPKH5KtY2msnzve50T3lBj7fv2H2Xf/qMl9wEz7g/bZzZ9yxkzl+MrPV+tHycqccxW1OOvNB2f+U2vr0h0RfH9G+byudXAuXHb3cDPl+rj7hkz6wPaCu1vTBq7unC/2JxtwDV3zxTpP4GZfRr4NMC6detCPI3ay+XSZLNpcrn8pXNj98cupevvvwjAyEiKnp7eCbcA3d0Xi8ya4ObJN8hmAsCB/PeQMulskTHRkcsVP5PZ2ztYtH38vlJ9xreH6TObvuWMmcvxlZ6v1o8TlThmK+rxV5qOz/ym11ckuqL4/g1zpsiKtE3+TbVUn7lqn9ro/py773L3Xe3t7cW61B8z+vsvYmYT7vf3X2Sg/xIjw32MDOcvrTt+/NSE2xkmpvihi75YrPjzamtrpq2tueS+8bel9oftM5u+5YyZy/GVnq/WjxOVOGYr6vFXmo7P/KbXVyS6ovj+DVMUdQNrx22vAXpK9TGzOLAEuDrN2FLtV4ClhTlKPVZ0uTMy3Ie7j7tv+WJodBCLJWodYVUEgRGPx2ZsSzYE3H//RpINwZT2R/fu4NG9O0ruA2bcH7bPbPqWM2Yux1d6vlo/TlTimK2ox19pOj7zm15fkeiK4vs3zOVzh4BNhVXhzgN7gL2T+hwEPgX8J/Aw8Kq7u5kdBPab2efIL7SwCfgv8qc1psxZGPNaYY4DhTn/tcznWBX//K3HQi22MFX+ezReuKSuUsxg8poaY21jq8rdXGludNq2sdXnxlaUq/Tqcx/4mRXTrl5Sat/Y7XRjw/SZTd9yxszl+ErPV+vHiUocsxX1+CtNx2d+0+srEl1RfP/OuPocgJn9KvAF8stnf83d/9LMngEOu/tBM1sEPA98kPwZoj3ufrow9mngN4EM8Hvu/t1Scxba38/NJbnfAh5z99Hp4quH1edERERERKR+Tbf6XKiiqN6pKBIRERERkemUuyS3iIiIiIjIvKWiSEREREREFjQVRSIiIiIisqCpKBIRERERkQVtXiy0YGaXgTNVeKjl5P+WkshsKH+kHMofKYfyR8qh/JFy1FP+rHf39mI75kVRVC1mdrjUihUiM1H+SDmUP1IO5Y+UQ/kj5YhK/ujyORERERERWdBUFImIiIiIyIKmoujWPFfrACTSlD9SDuWPlEP5I+VQ/kg5IpE/+k6RiIiIiIgsaDpTJCIiIiIiC5qKIhERERERWdBUFBVhZg+Y2Ukz6zSzPy6yP2lmLxT2/9jMNlQ/SqlXIfLnXjN708wyZvZwLWKU+hUif37fzI6b2dtm9oqZra9FnFKfQuTPk2b2jpkdNbMfmtnWWsQp9Wmm/BnX72EzczOr+2WWpTpCfPY8bmaXC589R83st2oR53RUFE1iZgHwJeBXgK3AI0V+aDwBvOfuG4HPA39T3SilXoXMn7PA48D+6kYn9S5k/rwF7HL37cCLwN9WN0qpVyHzZ7+73+XuO8jnzueqHKbUqZD5g5m1Ak8BP65uhFKvwuYO8IK77yj8+0pVgwxBRdFUdwOd7n7a3VPAAeChSX0eAr5euP8icJ+ZWRVjlPo1Y/64e5e7vw3kahGg1LUw+fOauw8VNt8A1lQ5RqlfYfLn+rjNZkCrLcmYML//APw5+YJ6pJrBSV0Lmzt1TUXRVKuBc+O2uwttRfu4ewboA9qqEp3UuzD5I1LKrebPE8B3KxqRREmo/DGz3zWzn5D/xfapKsUm9W/G/DGzDwJr3f071QxM6l7Yn12fKFz6/aKZra1OaOGpKJqq2Bmfyf+TFqaPLEzKDSlH6Pwxs8eAXcBnKxqRREmo/HH3L7n7HcAfAX9a8agkKqbNHzOLkf/KwB9ULSKJijCfPf8GbChc+v0yN6+4qhsqiqbqBsZXr2uAnlJ9zCwOLAGuViU6qXdh8keklFD5Y2a/DDwN7Hb30SrFJvXvVj9/DgAfq2hEEiUz5U8rcCfwupl1AR8GDmqxBSHEZ4+79477efX3wM4qxRaaiqKpDgGbzOx2M2sA9gAHJ/U5CHyqcP9h4FXXX8GVvDD5I1LKjPlTuHzly+QLoks1iFHqV5j82TRu89eA/6tifFLfps0fd+9z9+XuvsHdN5D/TuNudz9cm3CljoT57HnfuM3dwIkqxhdKvNYB1Bt3z5jZZ4CXgAD4mrsfM7NngMPufhD4KvC8mXWSP0O0p3YRSz0Jkz9m9iHg28BtwINm9mfuvq2GYUudCPn581mgBfhWYX2Xs+6+u2ZBS90ImT+fKZxpTAPvcfM/+GSBC5k/IlOEzJ2nzGw3kCH/u/PjNQu4BNMJDhERERERWch0+ZyIiIiIiCxoKopERERERGRBU1EkIiIiIiILmooiERERERFZ0FQUiYiIiIjIgqaiSEREREREFjQVRSIiIiIisqD9P1LJDMimM9rUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(150, 2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Consider the non-normalized quantization error for a sinusoid of frequency $\\omega_0 = 2\\pi\\nu$, with $0 < \\nu < 1/2$:\n",
"\n",
"$$\n",
"\\begin{align*}\n",
" \\frac{2}{M}\\, \\eta(\\sin(2\\pi\\nu n))&= \\sum_{m=-\\infty}^{\\infty} \\left[ \\frac{2}{M}\\sum_{k = 1}^{\\infty} \\frac{(-1)^{kM}}{j\\pi k}J_{2m+1}(\\pi k M) \\right] e^{j 2\\pi(2m+1)\\nu n} \\\\ \n",
" &= \\sum_{m=-\\infty}^{\\infty} c_M(m)\\, e^{j 2\\pi(2m+1)\\nu n};\n",
"\\end{align*} \n",
"$$\n",
"\n",
" * for $(2m+1)\\nu < 1/2$ the PSD lines are harmonically related to the fundamental\n",
" * for $(2m+1)\\nu > 1/2$ we have aliasing and potentially non-harmonic distortion\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"$$\n",
" \\frac{2}{M}\\, \\eta(\\sin(2\\pi\\nu n)) = \\sum_{m=-\\infty}^{\\infty} c_M(m)\\, e^{j 2\\pi(2m+1)\\nu n}\n",
"$$\n",
"\n",
"\n",
" * the coefficients $c_M(m)$ depend only on the number of quantization levels $M$\n",
" * $|c_M(m)|^2$ decreases rather quickly with $m$:"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def c_m(N, M=2):\n",
" k_lim = 600000\n",
" s = [1, -1 if M % 2 == 1 else 1]\n",
" c = np.zeros(N, dtype=complex)\n",
" for m in range(0, N):\n",
" for k in range(1, k_lim):\n",
" c[m] += s[k % 2] * ss.jv(2 * m + 1, np.pi * k * M) / k\n",
" c[m] /= 1j * np.pi\n",
" return np.abs(c * (2 / M)) ** 2"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"c2 = c_m(20, 2)\n",
"stem(c2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" * the max NHD is dominated by the first aliased component:<br />max NHD is $|c_M(m_0)|^2$ where $m_0$ is the minimum integer for which $(2m_0+1)\\nu > 1/2$. \n",
"\n",
"\n",
"\n",
" * for $\\nu > 1/6$, NHD $\\approx |c_M(1)|^2$\n",
" * for $1/10 < \\nu < 1/6$, NHD $\\approx |c_M(2)|^2$\n",
" * ..."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(150, 2)\n",
"for m in range(1, 5):\n",
" plt.plot([0.5/(2*m+1), 0.5/(2*m+1)], [0, 0.015], color=plt.cm.tab10(m))\n",
" plt.plot([0, 0.5], [c2[m], c2[m]], color=plt.cm.tab10(m))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"What about $M=3$ ? \n",
"\n",
" * $c_3(2) \\approx 0$\n",
" * $c_3(m)$ non-monotonic\n",
" * NHD approx the same for $1/18 < \\nu < 1/6$."
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"c3 = c_m(20, 3)\n",
"stem(c3)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"find_max_nhd(150, 3)\n",
"for m in range(1, 5):\n",
" plt.plot([0.5/(2*m+1), 0.5/(2*m+1)], [0, 0.015], color=plt.cm.tab10(m))\n",
" plt.plot([0, 0.5], [c3[m], c3[m]], color=plt.cm.tab10(m))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Does all of this matter?\n",
"\n",
"Yes and no:\n",
" * it's important to understand the consequences of quantization\n",
" * **dithering** techniques solve most of the problems we've seen here"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.10"
},
"rise": {
"enable_chalkboard": true
},
"toc-autonumbering": false
},
"nbformat": 4,
"nbformat_minor": 4
}
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