{ "metadata": { "name": "", "signature": "sha256:cef20e8af0071cf77d61f5f94d7ceeefa9b14d80dc40a2745a1253e842e417fe" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from deltasigma import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "NTF synthesis - demo #1\n", "=======================\n", "\n", "Demonstration of the **`synthesizeNTF`** function, as done in the **MATLAB Delta Sigma Toolbox**, employing its Python port **`deltasigma`**.\n", "\n", "\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **5th-order**, **low-pass** modulator.\n", "\n", " * The first section deals with an **NTF without optimized zeros** (`opt=0`), \n", " * while the second section with an **NTF *with optimized* zeros** (`opt=1`). \n", " * Finally the two transfer functions are compared.\n", "\n", " * Then we move on to the synthesis of an **8th-order band-pass modulator** with optimized zeros." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5th-order modulator\n", "-------------------\n", "\n", "General parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 5\n", "OSR = 32" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5th-order modulator: NTF without zeros optimization\n", "\n", "The synthesis of an NTF can be performed with the `synthesizeNTF(order, OSR, opt)`.\n", "\n", "We intentionally disable the zeros optimization, setting `opt=0`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Synthesize!\n", "H0 = synthesizeNTF(order, OSR, opt=0)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "plotPZ(H0, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH0)\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "semilogx(f*2*OSR, magH0)\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H0 = dbv(rmsGain(H0, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H0*np.array([1, 1]))\n", "semilogx([fstart, 1], sigma_H0*np.array([1, 1]),'-o')\n", "text(0.15, sigma_H0 + 5, 'rms gain = %5.0fdB' % sigma_H0)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VVRWNSeJUOG9nrCoqKn79Qarw5syBiy4K2ybuuQd2263lz+VYpodjmQ6tGcd3\n34VjjoHVVoPbb4eVV85tbGqefP6bTOAKnCeBTYDPM8fVwAGExsUDgHaEVTkXNfDYvMxnZs8OfeK+\n+gq6dMn50y9S2v6vNp94S1s+kL6czCfezCfeXIGj2Pv4YzjiCOjRA957D5ZbLuqIJMXF5pvDmDFw\n5ZWhN86tt8JBB0UdlQTA/ou4fzSwTSEDqfXmm6GPVCGLN5IkqTCSdJarlj1wUqSmBu68Ey68MGyV\nOPFEt0hIWrQxY+CQQ8KV6a65Bjp2jDoi5VICV+C0Rl7mMxdcAO3aweWX5/ypJUlSATQ2H2pb2FCk\nOtOmhcsF33YbvPYanHSSxRtJjdtqq7Cl6tNPoW9f+PLLqCOS4mXkSEjRKnJJkpTFAk6W2oZCyr8X\nXwxbIdZdF0aNgvXXz+3zO5bp4VimQy7HsVs3ePJJOPDAUNB5/vmcPbWawH+T8fXjj1BZCb17F/61\n0/a+MJ94S1s+kL6czCfezCe57IGjgvrlFzj/fBgyBO67D3beOeqIJCVR27Zw9tnhD9XDDw+XHL/0\n0rB1RCpWo0aFq7YttVTUkUiSpHxI4oYVe+Ak1LRp4dLgnTrB/ffDsstGHZGkNJg6FX7/e5g/HwYP\nhu7do45ILWUPnNa5+OJwouRvf8vp00qSpAKyB44i9957YavDNtvA009bvJGUOyusAMOGwfbbw5Zb\nhh4gUjEaOTL0hpIkSelkASdLMe2dK6RHH4VddoGrr4arrirMFgfHMj0cy3TI9zi2axe2UN19Nxx2\nWFiBMH9+Xl+yaPlvMp5++gnGjoU+faJ5/bS9L8wn3tKWD6QvJ/OJN/NJLgs4ypv58+Gii0KfiuHD\n4dBDo45IUtrttlu41Pizz8K++8L06VFHJBXG22/DBhtA585RRyJJkvIlifvM7YGTADNnwpFHQnU1\nPPZY2OIgSYVS2zD98cdh6NDwh63izx44LXf55TBjBlx3Xc6eUpIkRcAeOCqoTz4JV4bp0QNeesni\njaTC69Ah/CHbvz+Ul0MRraxVkXrtNdhhh6ijkCRJ+WQBJ0sx7Z3Ll2HDYLvt4PTT4R//gI4do4nD\nsUwPxzIdohrHP/wB/vnPsIXzgQciCSF1/DcZP/Pnhy1U22wTXQxpe1+YT7ylLR9IX07mE2/mk1zt\now5A6VBTA9dfDzfcAP/6VyjiSFIc7LgjvPIK7LUXTJwYenO1KZZNOioKH30Eyy0Hyy8fdSSSJCmf\nkjiFtQe2sahiAAAgAElEQVROzPz0Exx/fJhAPvkkrLpq1BFJ0sK+/hr22Qc22gjuuCO6FYJaNHvg\ntMygQWGboKvMJElKPnvgKG9mzIDddw8NQ197zeKNpPjq3j38kVtdHf7fqq6OOiKlwFLAU8BI4EVg\n5cz9vYG3gNeBi/MdxKhRofecJElKNws4WYpp71wuTJ0atiZstBE8/DB06hR1RHUcy/RwLNMhLuO4\n1FJhm+cmm0CfPlBVFXVEyROXsYyJ44ExQF/gQeCczP23AYcD2wG9gLJ8BvHWW9H2v4H0vS/MJ97S\nlg+kLyfziTfzSS4LOGqRzz8PfW722Qduvhna+k6SlBDt2sGAAXDSSaGI8847UUekBLsJuCrz+erA\nd0BnoCMwMXP/MGCXfAUwY0b4ndyzZ75eQZIkxUUS95nbAydi//43/Pa3cPbZcNppUUcjSS331FNw\nwglw552w335RR6OY98A5Dji93n39gLHAy8DGwG7A/4DHCNuoAI4B1gQuqvfYnMxnXnwRrrgCRo5s\n9VNJkqQYaGw+5FWo1CyjR4c/cq67Do48MupoJKl19tsPVl45fPziC/jzn6OOSDE2KHNryM7AesBQ\nYDPCKpxaXYAGOy7169eP0tJSAEpKSigrK6O8vByoWw6+uOO33iqnd++mf7/HHnvsscceexyv48rK\nSqozzRmrFrO/P65nuRqTtxU4FRUVv/4gtbAXX4QjjoB77gmX440zxzI9HMt0iPs4VlXBrruGK+qd\ne27U0cRbPscy5itwGnI+MAl4AOgBvASsD4wDDiJso3oW6E/olZMtJ/OZPfeEE0+E/fdv9VO1Stz/\njTeX+cRb2vKB9OVkPvFmPvHmChy12mOPwSmnhOaf228fdTSSlFulpVBRATvtBHPnwoUXRh2REmIQ\ncB9wLNCOsF0K4I/AQ5n7hrFw8SYnamrg7bfDZcQlSVL6JeksVy174BTYHXdA//7w3HNQltfraEhS\ntKZMCUWcww6DSy6JOprik8AVOK3R6vlMVVVoxP3VV7kJSJIkRc8VOGqRmhq4+urQ3PPVV2HttaOO\nSJLya6WV6lbizJsHl14KbYqlnKDEefdd2HzzqKOQJEmF0jbqAOKktqGQQvHmnHPgoYfg9deTV7xx\nLNPDsUyHJI3jiivCK6/Ak0+GrVQu+lxQksYy7caOhS22iDqKIG3vC/OJt7TlA+nLyXzizXySywKO\nFlJTA+edF/6AefXVcIUWSSomK6wAI0aEraPnnmsRR/HkChxJkopLEheG2wMnz664AoYMCdsIll02\n6mgkKTrTp4erU/XtC9df73aqfLMHTnMeHFaLjRsHq6ySw6gkSVKkGpsPuQJHC7jxRrj//nDJcIs3\nkordMsvASy/Ba6/BX/7iShzFx1dfhYKiq2QlSSoeFnCyFNPeuYbccQfcdFP4Y6V796ijaZ1iH8s0\ncSzTIcnj2K1bKGq//TaceirMnx91RNFK8limydixYftUXFaFpe19YT7xlrZ8IH05mU+8mU9yWcAR\nAA8+CJddFoo3q60WdTSSFC8lJTB8OLz3HvzxjxZxFL13341PA2NJklQYMTlv0yz2wMmxxx8PZ5Vf\negk22ijqaCQpvmbNgt13h1694IYboo4mfeyB03R77w3HHgsHHpjDiCRJUuTsgaNFeuGFcDZ56FCL\nN5K0OJ07wzPPwLBhoamxFJVx47wClSRJxcYCTpZi2jsHMHIkHHUUPPlk+iaBxTaWaeZYpkOaxnGZ\nZULx+6abYPDgqKMpvDSNZVL9739hNdjqq0cdSZ20vS/MJ97Slg+kLyfziTfzSa72UQegaIweDQcf\nHC4Xvu22UUcjScmy6qrw3HOw007hUs477xx1RCom48fDxhvHp4GxJEkqjCT+6rcHTiu99x7sthvc\nfTfstVfU0UhSco0cGYrhw4dDWVnU0SSfPXCa5uabQxHn9ttzHJEkSYqcPXD0q88+gz32CJM/izeS\n1Dp9+8I//hH+P504MepoVCzGj4eePaOOQpIkFZoFnCxp3zs3Ywbssw+cf344Y5xmaR/LYuJYpkOa\nx/F3v4PzzgtXp5o2Lepo8i/NY9kK6wPVQMfMcW/gLeB14OJcv1gcCzhpe1+YT7ylLR9IX07mE2/m\nk1wWcIrE3Llw2GHhbPGf/hR1NJKULn/+MxxwQCiS//hj1NGowLoA1wM/Zd13K3A4sB3QC8jZBrua\nGvjgg9ADR5IkFZck7jO3B04LnH46fPhhaLrZoUPU0UhS+tTUwNFHw3ffwRNPQHsvE9BsCeyB0wYY\nDPwNeApYD1iSsPpmw8z3nEZYmXNdvce2aD7z+eewzTYweXJLQ5YkSXFmD5wid/vt4ZK3jzxi8UaS\n8qVNGxg0CObMgZNPDgUdpcpxwPh6t2eAocD7me9pQ1iRMzPrcbOArrkKIo7bpyRJUmFYwMmSxr1z\nL78MF18MzzwD3bpFHU3hpHEsi5VjmQ7FMo4dOsBjj8G4cXDZZVFHkx/FMpYNGAT0rHdbj1DYeQXo\nDgwDZgCdsx7XhdAfZyH9+vWjf//+9O/fnwEDBizws62oqGjwuLaAs6ivR3Xc1PiTcmw+8T5OWz4V\nFRUMGDAgVvGYj/kk6Tjp+QwYMODX+UC/fv1oTJKWKdfK2xaqiooKysvL8/LcUZgwAXbYAYYMgRSl\n1SRpG8ti5limQ7GN4zffQK9ecP31cNBBUUeTW/kcywRuoco2kVDQmQOMAw7K3Pcs0B8YU+/7WzSf\n+f3v4be/Ddv14iRt/8bNJ97Slg+kLyfziTfzibfG5kNJnCTZA6cJpk+H3r3hnHPg+OOjjkaSis87\n78Aee8Crr8IGG0QdTTIkvIDzGeFqVHMIjYsHAO0Iq3IuauD7WzSf2WQTuOce2GKLVkQqSZJiywJO\nkfnll3B2brPNwtlfSVI07r4b/v53GD0aunSJOpr4S3gBp7maPZ+ZNw+WXjpcrn6ppfIUlSRJipRN\njJsoey9aUtXUwKmnQqdOcO21UUcTnTSMpQLHMh2KdRyPPTZsZT3mmPQ0NS7WsYyDqipYYYV4Fm/S\n9r4wn3hLWz6QvpzMJ97MJ7ks4KTMTTfBqFEweDC0axd1NJKkgQNh0qTiLqorNyZMgPXWizoKSZIU\nlSQuU3YL1SIMHx6aGo4aBaWlUUcjSao1aRJstRU88ADsskvU0cRXDrdQtQf2A74hXOL7eqADoZlw\nVQ6ePxeaPZ+54YawCmfgwPwEJEmSotfYfKh9YUNRvkyeHIo3Dz9s8UaS4qZHj7Ay8vDDQz+c1VeP\nOqLUuy/zsQvQA3gamATcDewUVVCtNWFCaGIsSZKKk1uosiR179y8eXDUUXDSScV3ufBFSepYamGO\nZTo4jrDjjnD22eGy4j/9FHU0LZeQsVwDOALYH+gEXALcCcyPMqjW+vhjWH/9qKNoWELeF01mPvGW\ntnwgfTmZT7yZT3JZwEmBv/0N5s6Fv/416kgkSY0580xYa63QbN7dwHn1c+bjPGBy1v2J7g5nDxxJ\nkoqbPXAS7rXX4OCD4Z13whJ9SVK8ff899OoFf/kLnHhi1NHESw574LwHnJ15rmvrfb5pDp4/F5o1\nn6muhlVXhZkzoU0SZ2+SJKlJ7IGTUtOnwxFHwF13WbyRpKRYeml4/HHYfnsoK4Ott446olR6Fzh8\nEZ8n0oQJsO66Fm8kSSpmbqHKkqS9czU1cMwx8Lvfwd57Rx1N/CRpLNU4xzIdHMcFrbce3HlnWEH5\n3XdRR9M8CRnLrYAtgV7A9sD6wHbAhlEG1Rpx7n8DiXlfNJn5xFva8oH05WQ+8WY+yWUBJ6Fuvhm+\n+ir0v5EkJc9++8E++8Bpp0UdSSptDPQERgN7AdsAuwOfRBlUa3z8sf1vJEkqdklciFv0PXDGjYPd\ndoNRo2DttaOORpLUUj/8AJttBlddFVZUFrsc9sCp9SqwQ9bx64SVOHHQrPnMwQfDgQeGS9FLkqT0\nsgdOisyaBYceCgMHWryRpKRbail44IGwGqdPH1hppagjSp1pwOXAO0Af4PNow2m5Tz8NVzCTJEnF\nyy1UWZKwd+7UU2GHHTwDtzhJGEs1jWOZDo7jovXqBSecEG5JWGCasLE8EvgO2BP4Cjg2x8/fJvO8\nr2RuV2bu7w28RVjxc3FrX6SmJv4FnIS9LxbLfOItbflA+nIyn3gzn+RyBU6C3HdfuFz4mDFRRyJJ\nyqWLLoLevWHQIDj++KijSZUfgRvy+PxrAWOBfevdfytwIDARGAqUAZUtfZHp08PHZZZp6TNIkqQ0\nsAdOQkycGC41O2IE9OwZdTSSpFz78EMoL4fRo2HNNaOOJhp56IGTb4cC5wAzgNnAGcDXhNU3tVe8\nOg3oCFxX77FNns+MGQMnnQTvJvYi6JIkqakamw+5hSoBamrgj3+E//s/izeSlFYbbQTnnw/9+sG8\neVFHowYcB4yvd5sMXAXslPn4INAZmJn1uFlA19a8cNy3T0mSpMKwgJMlrnvnHngApk6FM8+MOpLk\niOtYqvkcy3RwHJvm9NOhbVu4IZ+bflqpiMdyEOHS5Nm3d4CnM19/A1iZULDpnPW4LkB1a17400/j\nvyorbe8L84m3tOUD6cvJfOLNfJLLHjgxN3UqnH02PP88dOgQdTSSpHxq2xbuvRe22gp2391Vlwlw\nMTAd+DuwKfAFYfXNHGBNQg+c3YD+DT24X79+lJaWAlBSUkJZWRnl5eVA3WS0vLyczz6DkpIKKipo\n8OtxOK6srIxVPOZjPkk7rqysjFU85mM+STpOej6VlZVUV4dzPVVVVTQmSfvMaxVVD5zDD4dVV4Vr\nr406EklSodx9NwwcCG+/DR07Rh1N4SSwB05XwrappYG5wKnAf4BewACgHTAMuKiBxzZ5PlNeHhpd\n77xzDiKWJEmx1th8KEmTpFpFU8B59tmwnP7996FTp6ijkSQVSk0N7L8/bLwxXHnl4r8/LRJYwGmN\nJs9nVlsNRo6ENdbIc0SSJClyNjFuotrlTHEwcyaccgrccYfFm5aI01iqdRzLdHAcm6dNm/D//6BB\n8M47UUezIMeysH7+Gb75JqzGjbO0vS/MJ97Slg+kLyfziTfzSS4LODF1/vmw226w005RRyJJisKK\nK8LVV8Opp8L8+VFHo6hUVYXiTXu7FkqSVPSSuEw59Vuo3ngDDjkEPvgAunWLOhpJUlTmz4fttoNj\nj4Xjj486mvxzC9XCnnsOBgyA4cMLEJEkSYqcW6gS5KefwiR94ECLN5JU7Nq2hVtugQsvhOnTo45G\nUfj8c3vfSJKkwAJOljjsnbvqKthgAzjooKgjSbY4jKVyw7FMB8ex5TbbDA4+OBRx4sCxLKwvvghN\njOMube8L84m3tOUD6cvJfOLNfJKr0AWctsBtwJvAK8Ba9b5+BvBB5muvAOsWNLqIjR8Pt90GN98c\ndSSSpDi5/HJ44gkYOzbqSFRoSSngSJKk/Cv0PvMDgb2BY4FewPnA/llffwC4ARjXyHOksgfO/PnQ\np0/oc3DCCVFHI0mKm7vvDlemevPNsLUqjeyBs7Dtt4crroC+fQsQkSRJilyceuD0AV7IfD4a2LLe\n17cALgBeA84rYFyR++c/Yd48OO64qCORJMVRv37h4733RhmFCs0VOJIkqVahCzhdgJlZx/PqxfAw\ncBKwE7AdsFfhQotu79xPP8EFF8D116f3rGqhFdM+yLRzLNPBcWy9tm3hH/8Ivy+ibGjsWBbO3Lkw\nZQqsskrUkSxe2t4X5hNvacsH0peT+cSb+SRXocsFM4HO9V5/ftbxTcB04BdgKLBZ4UKLzk03weab\nh2XSkiQtyuabw4EHwkUXRR2JCmHKFFh+eejYMepIJElSHETRA2cf4BigN3ARdatsugLvAxsCPwKP\nAIOo23JVq+boo4+mtLQUgJKSEsrKyigvLwfqqm9JOX7yyQqOPhrGjCln3XWjj8djjz322ON4H2+y\nSTkbbgiXXVbBuutGH09rjisrK6murgagqqqK++67D+yB86s33oD/+z8YNapAEUmSpMg11gOn0JOk\nNsA/gE0yx8cQ+t4sDdwJHE64EtXPwEvApQ08R6qaGP/pT9CuXViFI0lSUwwaBHfdFf7Ab5uirbc2\nMV7Q4MHw1FMwZEiBIpIkSZGLUxPjGuBkQjPjPsB/CH1v7sx8/WFga2B7Gi7e5FXt2cFCmTAhTMpc\nCp97hR5L5Y9jmQ6OY24dcwzU1EBYsFJYjmXhJKmBcdreF+YTb2nLB9KXk/nEm/kkV4rO2yXPueeG\n23LLRR2JJClJ2raFgQPDCYDZs6OOpqi1I/Tvex14G9g9c39v4K3M/Re39MmTVMCRJEn5l8RlyqnY\nQjVyZLgk7EcfwZJLRh2NJCmJ9t8fysvh9NOjjiQ3EriFqh+wFXAqsDJwKHAjUAkcAEwkXJThwsx9\n2RY7n9l7bzjxRNh339wGLUmS4itOW6gEzJ8PZ50FV19t8UaS1HKXXRZ+l3z/fdSRFK3dgK+AZwnb\nwZ8CugAdCcUbgGHALi158i+/hB49chClJElKBQs4WQq1d27wYGjfHg45pCAvV5SKaR9k2jmW6eA4\n5scmm4QVODffXLjXLOKxPA4YX+/WHVgL2Bu4BrgH6AzMzHrcLMKVNptt8mRYZZVWRFxAaXtfmE+8\npS0fSF9O5hNv5pNcFnAKbPZsuOACuP56aJOkReKSpFjq3x9uuAFmzIg6ktQbBPSsd/uGsEUK4FVg\nXULxpnPW47oA1c19sZ9/DmO6/PKtCVmSJKVJ+6gDiJPy8vK8v8aAAbD11tCnT95fqqgVYixVGI5l\nOjiO+bP++rDnnuH3yyWX5P/1HMsFvA7sCTwObAp8TlhxMwdYk7CNajegf0MP7tevH6WlpQCUlJRQ\nVlb268/3iScq6NoV2rYNx7VnF2u/Hrfj2vviEo/5mE8Sj7Nzi0M85mM+STpOcj6VlZVUV4dzPVVV\nVTQmiWtAEtvE+LvvYJ114K23YO21o45GkpQWn30WTg5MmADLLht1NC2XwCbGHYFbgQ0zxycTmhX3\nAgYQrlI1DLiogcc2Op8ZNSo0px49OqfxSpKkmLOJcRPVr97l2i23wD77WLwphHyPpQrHsUwHxzG/\n1lwTfvc7uO66/L+WY7mAOYTeONtkbrVXmhqdOd6ahos3izVlCqy8ci5CLIy0vS/MJ97Slg+kLyfz\niTfzSS4LOAXyww8wcCCce27UkUiS0uivf4U77oBvvok6EuXC5Mmw0kpRRyFJkuIkScuUayVyC9WA\nAfDGG/Doo1FHIklKq9NPDw3yb7wx6khaJoFbqFqj0fnMBRdAp06hMCdJkoqHW6gi9vPPYVn7+edH\nHYkkKc3OOw/uvx8mTYo6ErXW5MnJ2kIlSZLyzwJOlnztnXvwQdh4Y9h887w8vRpQTPsg086xTAfH\nsTC6d4cTToArr8zfaziWhZG0Ak7a3hfmE29pywfSl5P5xJv5JJcFnDybNw+uvjoshZYkKd/OPjts\n1504MepI1BpJa2IsSZLyL4n7zBPVA2fIEPh//w9eey30JZAkKd/OP7+ueX6S2AOnzrLLhsvCL7dc\nASOSJEmRa2w+lMRJUmIKODU1UFYGf/sb7Lln1NFIkorFpEmwySbw2WdQUhJ1NE1nASf46Sfo2jV8\n9OSPJEnFxSbGTZTrvXPPPRcmXnvskdOnVRMU0z7ItHMs08FxLKwePWD33eHuu3P/3I5l/k2ZEvoZ\nJal4k7b3hfnEW9rygfTlZD7xZj7JZQEnT2pqQhPJCy5I1gRMkpQOp58etlDNnRt1JGqupDUwliRJ\nhZHE0kIitlCNHBmuBPLRR9CuXdTRSJKKUZ8+cNZZcOCBUUfSNG6hCv71r3AFyyeeKHBEkiQpcm6h\nisDf/gbnnmvxRpIUndNPhwEDoo5CzTV1Kqy4YtRRSJKkuLGAkyVXe+cqK+HDD+Goo3LydGqBYtoH\nmXaOZTo4jtE44ACoqoKxY3P3nI5l/k2dCiusEHUUzZO294X5xFva8oH05WQ+8WY+yWUBJw9uuw1O\nOgk6dow6EklSMWvfHv78Z7jppqgjUXMksYAjSZLyL4n7zGPdA2fWLFh9dfjgAxsQSpKi9913sNZa\nYWXoSitFHU3jEtgD51xg98zn3YAVgZWA3sAAYC4wHLisgccucj5z8MHhdsghOY9XkiTFnD1wCuif\n/4S+fS3eSJLioVs3OPxwuPXWqCNJpWuAHTO3L4HazdO3AYcD2wG9gLLmPKkrcCRJUkMs4GTJxd65\n228P26cUrWLaB5l2jmU6OI7ROu208Pvpp59a/1yOZYMOBKYDLwFdgI7AxMzXhgG7NOfJkljASdv7\nwnziLW35QPpyMp94M5/ksoCTQ2PHwrRpsOuuUUciSVKd9daDLbeEwYOjjiTRjgPG17ttkfnaecCl\nmc+7ADOzHjcL6NqcF0piAUeSJOVf+6gDiJPy8vJWPf6OO+CEE7x0eBy0diwVH45lOjiO0Tv9dDjr\nLDjmGGjTii4zRTyWgzK3+jYEqoHPMsczgc5ZX++S+fpC+vXrR2lpKQAlJSWUlZXRp085M2fC++9X\n0LZt3c+79uxiXI9r74tLPOZjPkk8zs4tDvGYj/kk6TjJ+VRWVlJdHaYKVVVVNCZJjQJrxbKJ8axZ\nsNpqoUmk/W8kSXFTUwMbbRS2Um2/fdTRNCyBTYwBTiOsaB6Qdd844CDCNqpngf7AmHqPa3A+M2UK\nbLYZfP11XmKVJEkxZxPjJqpfvWuOhx+GHXe0eBMXrRlLxYtjmQ6OY/TatIGjj4YHHmjd8ziWC1mX\nutU3tf4IPASMBt5l4eLNIiV1+1Ta3hfmE29pywfSl5P5xJv5JJdbqHLkjjvgiiuijkKSpEU74gjY\ndFMYOBCWXDLqaFLjTw3cNxrYpiVPltQCjiRJyr+kLVOGGG6hGjsWDjoIPvsM2rqmSZIUYzvvDCef\nDL/7XdSRLCyhW6haqsH5zEMPwdChNpyWJKlYuYUqz2qbF1u8kSTF3VFHtX4blfLnm29cgSNJkhpm\nySFLS/bOzZoFjzwCxx6b+3jUcsW0DzLtHMt0cBzj46CDoKICvv22ZY93LPPr229h+eWjjqL50va+\nMJ94S1s+kL6czCfezCe5LOC0Um3z4pVWijoSSZIWr3Nn2GsvGDIk6kjUkP/9D5ZdNuooJElSHCVx\nn3mseuBsvz2cey7svXfUkUiS1DQvvACXXAKjR0cdyYLsgRN6Ex1ySLhJkqTiYw+cPJk8GT78EHbd\nNepIJElqul12gS++gAkToo5E9bkCR5IkLYoFnCzN3Tv3xBNh5c0SS+QnHrVcMe2DTDvHMh0cx3hp\n3x4OPxwefLD5j3Us82v6dFhmmaijaL60vS/MJ97Slg+kLyfziTfzSS4LOK3w6KNw8MFRRyFJUvPV\nXo1q/vyoI1E2V+BIkqRFSeI+81j0wPnmG1h/fZgyBZZcMupoJElqnpoa6NkT/vEP2GGHqKMJ7IED\nnTrB1Kmw9NIRRCRJkiJnD5w8eOIJ2HNPizeSpGRq06ZuFY7iYfZsmDcPlloq6kgkSVIcWcDJ0py9\nc489Fq4UoXgqpn2QaedYpoPjGE9HHAH/+lcoHDSVY5k/tf1v2iRwDVLa3hfmE29pywfSl5P5xJv5\nJJcFnBb49lt45x3YffeoI5EkqeV69ICNN4YRI6KORGD/G0mS1LgEnuOJvgfOXXfBiy/CkCGRhiFJ\nUqtdey1UVYVeOFEr9h44FRVw8cXw6qvRBCRJkqJnD5wcc/uUJCkt9toLhg4NTY3VbJ2Ap4CRwIvA\nipn7ewNvAa8DFzf1yVyBI0mSGmMBJ0tT9s5Nnw6jRsEee+Q/HrVcMe2DTDvHMh0cx/jacMPQc+XD\nD5v2/Y7lAv4AfAT0BYYAZ2fuvw04HNgO6AWUNeXJanvgJFHa3hfmE29pywfSl5P5xJv5JJcFnGZ6\n+mnYZRcv7ylJSoc2bepW4ajZZgO1a2a6AnOAzkBHYGLm/mHALk15MlfgSJKkxiRxn3mkPXD23jtc\ntePwwyMLQZKknHruObj66uh7r8S8B85xwOlZxzXAn4DbgflAN2AH4CfgMcI2KoBjgDWBi+o930Lz\nmXPOCQWcc8/NeeySJCkhGpsPtS9sKMk2Ywa89hoMHhx1JJIk5c6OO8JhhyV7C08BDMrcst0B3ADc\nCfQE/kXYNtU563u6ANUNPWG/fv0oLS0FoKSkhA8+KOOAA8qBuuXg5eUee+yxxx577HGajysrK6mu\nDlOFqqoqGhPXs1yNydsKnIqKil9/kA15/HG48054/vm8vLxyaHFjqeRwLNPBcYy/ffaB3/9+8StM\n8zmWMV+B05CHgKcJ/W+6A28SVtuMAw4ibKN6FugPjKn32IXmMwccAEcdBQcemN+g8yFt/8bNJ97S\nlg+kLyfziTfziTevQpUjI0bAzjtHHYUkSblnH5wWuYCwtepV4HHghMz9fyQUd0YD77Jw8aZB06dD\nt255iFKSJKVCks5y1YqsB86GG8KDD8Lmm0fy8pIk5c0XX4Tfb998A+3aRRNDAlfgtMZC85lNN4V7\n74XNNosmIEmSFD1X4OTA5MlhUrvpplFHIklS7q22Gqy8MoweHXUkxWvGDOjaNeooJElSXFnAyVLb\nUKghr7wC5eXRnZVU8zQ2lkoWxzIdHMdkaMo2Kscyf5JcwEnb+8J84i1t+UD6cjKfeDOf5LKA00Qv\nvww77RR1FJIk5Y99cKJTUwMzZ0KXLlFHIkmS4iqJ+8wL3gOnpgZKS2HYMFh//YK+tCRJBTN3Lqy4\nIrz3HvToUfjXL+YeOLNmQffu8MMPEUYkSZIiZw+cVvrsM/jlF1hvvagjkSQpf9q3D6tNi2glcmwk\nefuUJEkqDAs4WRa1d27EiDChbVMs5wRToJj2QaadY5kOjmNybLstvPnmor/uWOZH0gs4aXtfmE+8\npS0fSF9O5hNv5pNcFnCa4OWXYeedo45CkqT8W1wBR/mR9AKOJEnKvySuKSloD5yamtAPYMwYWH31\ngm9SBWUAACAASURBVL2sJEmRmDMHllkGpkyBzp0L+9rF3APn+edhwIDQb0+SJBUve+C0wgcfhCtC\nWLyRJBWDjh2hrAzefjvqSIqLK3AkSdLiWMDJ0tDeudr+N0qWYtoHmXaOZTo4jsnS2DYqxzI/kl7A\nSdv7wnziLW35QPpyMp94M5/ksoCzGBZwJElJMXQoVFfXHVdXh/uayz44hZf0Ao4kScq/JO4zL1gP\nnJoaWGEFqKyEVVYpyEtKktRi1dVw4YVw5ZXhuPbzkpLmPc8338D668P//gdtC3iqp5h74Fx4ISy5\nJFx0UYQRSZKkyDU2H2pf2FCSZdKkMHFdeeWoI5EkafFKSkLB5tRTw/EttzS/eAOhef+yy8JHH8FG\nG+U2RjVsxozwc5ckSVoUt1Blqb93btw42HxzaFMs5wJTpJj2QaadY5kOjmPyLGoblWO5gG7AM8Br\nwDBgtcz9vYG3gNeBi5vyREnfQpW294X5xFva8oH05WQ+8WY+yWUBpxHjxsFmm0UdhSRJTVO7heqW\nW8LtwgsX7InTHNtuC6NG5Ta+FLoAeAPYHrgWGJi5/zbgcGA7oBdQtrgnSnoBR5Ik5V8S15YUrAfO\nfvvBkUfCwQcX5OUkSWqVoUOhT5+6bVPV1fDGG7DXXs1/rvfeg0MPhY8/zm2MjUlgD5yhwIVAJfAb\nYDJhFc5oYMPM95wGdASuq/fYBeYz5eVwySWw4455jliSJMVaY/MhV+A0onYLlSRJSbDXXgv2vCkp\naVnxBmDjjWHyZJg2LTexpcBxwPh6N4B9sz52AroAM7MeNwtY7NoaV+BIkqTFsYCTJXvv3LRpYTK1\nxhrRxaOWK6Z9kGnnWKaD45g87dpBr17w1lsL3l/EYzkI6FnvdihQCowEVge+IBRvOmc9rgvQ4Ea2\nfv360b9/f/r378/nnw/go48qfv1aRUXFAj/ruB8PGDAgVvGYj/kk7XjAgAGxisd8zCdJx0nPZ8CA\nAb/OB/r160djkrRMuVbetlBVVFRQXl4OwIsvwhVXwMiReXkp5Vn2WCrZHMt0cByT6cILoUMH6N+/\n7r58jmUCt1DtBUwHRgEHAXsDxwDjMscTgWeB/sCYeo9dYD6z7LIwYQIst1z+g86HtP0bN594S1s+\nkL6czCfezCfeGpsPJWmSVKsgPXCuvRamTIEbb8z7S0mSFEsPPQRPPw1DhhTm9RJYwFkLuI8Q83RC\n8WYaoXHxAKAd4epUFzXw2F/nMzU1oVD244/QsWMhwpYkSXHV2HyofWFDSY5x42CPPaKOQpKk6Gyw\nAVxzTdRRxNqnhCtN1Tca2KapT/Lzz2HLmsUbSZLUGHvgZMnei/buu15CPMmyx1LJ5limg+OYTOut\nB598AvPm1d3nWObe99/D0ktHHUXrpO19YT7xlrZ8IH05mU+8mU9yWcBpwPffw6RJ4cyjJEnFaqml\nYMUVYeLEqCNJtzQUcCRJUv4laZ95rbz3wHnjDTjjDHj77by+jCRJsbfHHnDKKbDPPvl/rQT2wGmN\nX+czH3wAhx4KH34YcUSSJClyjc2HXIHTALdPSZIUbLABfPRR1FGk2w8/uAJHkiQtngWcLLV758aP\nh003jTYWtU4x7YNMO8cyHRzH5KpfwHEsc+/778N2tSRL2/vCfOItbflA+nIyn3gzn+SygNOAzz6D\ntdaKOgpJkqLnCpz8sweOJElqiiTuM897D5y11oLnn4d1183ry0iSFHvTpoXfi9XV0CbPs4Zi7YHz\n0EMwdCgMHhxxRJIkKXL2wGmGefPCFahWWy3qSCRJit5yy0HHjjBlStSRpJcrcCRJUlNYwMlSUVHB\nV1+FyeqSS0YdjVqjmPZBpp1jmQ6OY7Jlb6NyLHMvDQWctL0vzCfe0pYPpC8n84k380kuCzj1TJwI\na6wRdRSSJMWHfXDyKw0FHEmSlH9J3Gee1x44990HL74IDz6Yt5eQJClRBgyATz6BW27J7+sUaw+c\nc86BZZeFc8+NOCJJkhQ5e+A0gytwJEmFMHRoaAxcq7o63BdHG2wAEyZEHUV6uQJHkiQ1hQWcLBUV\nFRZwUqKY9kGmnWOZDo7jwvr0gQsvDIWb6urweZ8+UUfVsB494KuvwudFPpYHwP9n797jZKz7P46/\nFjkfFh2k0qK7qJQiyaFW6CR3QkTKRopIunVQSTrp9KvkEOVWDpEcK9zlEKMQEls6SxalRLU5H3d+\nf3xn7Vh7mJ2dme91XfN+Ph7z2Llm57quz7UfM675zPf7uZgUtNwQWAEsBQYFPf44sBJYBlyS30a9\nUMDx2r8LHY+zee14wHvHpONxNh2Pe6mAk01aGiQl2Y5CRES8LjERnnkGevc2t2eeMY850amnwu+/\n247CuleBIRw7pHkU0AloAlwK1AUuBi4PLN8M5DvxzAsFnNTUVNshRJSOx9m8djzgvWPS8Tibjse9\nVMAJkpycrBE4HpGcnGw7BIkQ5dIblEd3q1gR9u6FffviOpfLgF5kFXDKAyWAjYHleUALoDEwP/DY\nFqAYUDmvDXuhgJMePB/QA3Q8zua14wHvHZOOx9l0PO6lAk6QgwfNN4xnnGE7EhER8brMaVMjR5pb\n5nQqJ0pIgCpVYNs225HERHdgXbZbPWBqtueVB3YGLe8CKgQe/yeHx3PlhQKOiIiIRJ8KOEGmTfNR\ntSoUK2Y7EimseJoH6XXKpTcoj8dbtixr2lTmdKply2xHlbsqVcyXHHGQy7FAnWy3L3J43k6gXNBy\neSA9h8fLBR7P1e7dUKZMISJ2gLS0NNshRJSOx9m8djzgvWPS8Tibjse93HipzqhdRvyll3zMmZPM\n4sVR2bzEkM/ni+dh/p6iXHqD8uh+N9wAKSlQsWL0cumCy4gnA3dh+t4ArAXaYaZRzQEGA0eAF4CW\nwBnAB5jeONn9BNSMarQiIiLiRl+S87kDGmsSpEKFZDUw9gh9UPQO5dIblEf3y2xkfOONybZDsckf\nuGXqibkqVVFMD5zPA49/CnyGGel8dy7bOitKMYqIiIhHqYAT5I8/zBBxEREROVaVKvDbb7ajsG5J\n4JZpJXBZDs97InATERERiRj1wAny1Vc+x17CVQomDno0xA3l0huUR/fLHIGjXIqIiIjYoQJOkN27\nzaVSRURE5FgagROyIsBoYDmwmOP73LQGVgV+f0eI69gWzjEBrAk8fzGmObRThPL3Lo25dPw5BVjH\nlnCOB9ybn07ACmApMArTN8vN+cnpeMC9+WmHeT9YCfQNcR2bwjkecG5+IPS/9xvAswVcx4Zwjgec\nnaO44o+W9u39/nffjdrmRUREXGvlSr+/fv3o7oNj+8u4VVvgzcD9S4H3gn53ArAec1nxEzAfCk4O\nrPNWLus4QUGP6SSgJObk2YnyOh6A+sBqYCtwdojr2BTO8bg1P6UwDcBLBpYnYwqITn4NhXM8bs1P\nUeBHzNX3igDfA5Vxb35yOp5KODs/ENr71V2YgsiQAqxjSzjH4/QchU0jcIKkp6MpVCIiIjnIvIy4\n5Ksx8FHg/krMh+dMtTEf1v4BDmG+cb88sM6HuazjBAU9piuACzGjPuYBH2NOup0ir+MBKA60AX4o\nwDo2hXM8bs3Pfkzfqf2B5WKB+05+DRX0ePbh3vwcAWoBuzCF3KLAQdybn9yOx8n5gfzfExoBDYDX\nyRrx5eb3uJyOx+k5CpsKOEE2b1YPHK9QjwbvUC69QXl0v1NOgW3bYNEin+1QnK48sDNo+QhZ51vl\nMYWOTLswI1fyWscJwjmmPcCLwNVkXa3LKceU3997OfBLAdexKZzjcWt+/MD2wP17gDLAgnzWsa2g\nx7MQ9+YHIAMzYmItZurKnhDWsamgx7MXZ+cH8j6mU4FBQB+yih35rWNbOMfj9ByFTVehCqIeOCIi\nIjkrUQLKlYNdu2xH4ng7McPtMxXBfAAAU+gI/l05ID2fdZygoMf0N2bawU+Bx9YDf2JOtH+NaqSh\nCefv7eQchRObm/NTBHgBOAvTnySUdWwK53jcnB+AmcAsYBxwW4jr2BLO8UzGufmBvI+pPXAi8D+g\nCmaUyvf5rGNbQY/nO2AKzs5R2DxRhYqUAweSNQLHI5KTk22HIBGiXHqD8ugNlStDrVrJtsNwumXA\ndYH7DYGvgn73PfAvoCJmWsvlmNERea3jBAU9ps+A24GXAs+pivkG1SltsMP5ezs5R+HE5ub8vA6U\nAG4ka+qRm/OT0/G4NT/lgSWY9wI/ZhTEkXzWsS2c43FyfiDvYxqOmYLUDHgOMzJlfD7r2FbQ45kA\ndMPZOQqbRuAE+P2mB06FCrYjERERcaaSJeHAAdtRON4soCXmhBPMiX4noCwwBvgPZk5+EcxVMX7L\nZR0nCeeYxmKaln4StI5Tvs3N73hCXccpwjket+ZnNeaD2SfAosDvh+ayjlOEczxuzc8Y4G1M3IeA\nLwPL5LCOU4RzPEVxbn5A73EA/8XZOQpbQv5PcZzAhSoia/duOPFEH/v3J0d82xJ7Pp9P3/h7hHLp\nDcqjNzRoALff7qNXr+SobD8hIQHceW4iIiIiEnWaQhWQnm7m9ouIiEjOSpWCgwdtRyEiIiISn9z4\nLVdURuCsWwedOsHXX0d80yIiIp5w9dXwn/+Yn9GgETgiIiIiuQulB85b2ZYPAZuBkZirDHhCejpq\nYCwiIpKHkiVh//78nyciIiIikRfKFKqSmMttTQE2AadhOqWPj2JcMZeeDkeO+GyHIRHi8/lshyAR\nolx6g/LoDSVLwhdf+GyHISIiIhKXQhmBczKmyzOYKwwsAB4jq6OzJ+zaZeb2i4iISM5KllQPHBER\nERFbQhmBUw6oHbhfG3O5rhMDPz3D74dTT022HYZEiK524x3KpTcoj95QsiRUr55sOwwRERGRuBTK\nCJw+wCTgVGALcDfQAXgminGJiIiIw6gHjoiIiIg9oYzAWQVcjCngNAC+BF4DZoS5v9HAcmAxUDPb\n71sH9rccuCOM7RfKtm2+WO9SokT9NrxDufQG5dEbSpaEb77x2Q5DREREJC6FUsDpCfwI/AykAWsK\nsb82QHGgETAAeCnodycALwMtgSuAOzH9d0RERMQB1ANHRESioKTtAETcIpQCTm8gGfgQuB3TxDhc\njYGPAvdXAvWDflcb+An4B3Op8qXA5YXYV4GdckpyLHcnUaR+G96hXHqD8uh+1au34MknxzJ+/Daq\nV29hOxwREYm+Ipgv2CPhSuAVzBf62Z2O+RJfRPIRSgFna+BWHjPt6bxC7K88sDNo+UhQDOUxxZtM\nu4AKhdiXiIiIVXPnQnp61nJ6unnMbapXb0FaWnugG9CBtLT2KuKISCQkA+mYD/CZngO6Rnm/KcCz\nwNVAj0Jua1225aKYz0xLcednmcqYlhcVgX6YmRGRcA+mr2pqDr/7CTgXKBOhfYl4VigFnH+AG4EM\nzHSqqoXY307MVa2C958RtJ/g35UD/i7EvgpMPXC8Q/02vEO59IZ4zWPjxvDoo6Zwk55u7jdubDuq\ngktLKwrcBSQAS4C7Ao+JiBTaAeCtoGV/DPaZuY95wJgIb/s0zOeYJhz75bRbPA2MwHwOe5ljv3wv\njJLAakxLjpzMAW6J0L5EPCuUq1DdgWk2/DDQH1M9DdcyTKPiaUBD4Kug330P/AtT7d2DmT71Yk4b\nSUlJISkpCYDExETq1q17dHh+5oeEgi6bLwDCX1/LzlrO5JR4tBz+cmpqqqPi0bKWC7r8zDPJ9O5t\nviTo1w8SE50VX6jL4MMUcDL9hc/nK/TrOz0wRCktLQ0RiTt+YBHmzaU3MDLod8WAcUB1zKiWl4HS\nmKGACcDjQDXMZ4uSmAuuvArcAJwP3I8ZCTMWMxKmamD7o4P20RWoBWwCOgYe+xemsHMX8DpwFuZL\n54GYCnZp4G3gRGBDILZgowPbGA18BnQPxPtUYB/Zt1c2sL3KmJEoZwNvBOJ6OHBs3wX+DicEthu8\njerAdUApzGe254HxgeW3An+j4pgrC2eOgvkfpn3Fi8D1QbGXx7S4+JrwFANu5diCHJjPkKUwuXk/\nl3U3APeGuV8RCZKIebF1DNw6FGJbCcAoTCFnGeYNqhNZQxevx1yFajXQK5dt+KPh7bf9/s6do7Jp\nERGJY3//bf5/6dzZ3HejpKTmfhjlh4zAbZQ/Kal5xPdDbL55FxHnSAbeASphihc1MVObumIKDpkX\nPCmLuahKf+C9oPVTyOqv2RFYEbTdWcBFmJkEYAo4Pwbudw3az7NB26tP1tSnXpjpXGCKK5lFjf9g\nijEA5wTiDnYmpnCTGd+swP3ctvcgMCRw/wJMISM4rpLAxjy20TXob3AWptgDcF/Qds/CFEeSgXcD\nj73I8f1orsIUk4ItpmC6ADWyPXYF8EAI647M/yki8S2UETjzgW85djrT1DD35+f4wsyPQffnBG4i\nIiKulzltamTglPTRR+GZZyAx0W5cBbVx48JAH5zSQFGSkqazceNC22GJiHf8hem3Mh7zJS+YESiZ\nbzS7MZ9HigI/BK3nJ6unyj9kFS/SMYWPbYHttsVMBTohjxhqY0a3tA5sqw5mGtSlgd8XxRRNzsGM\nYCEQy/Zs20nItpz5WSe37SVhRvyAmZ2Q1/ayb6MYZiRQ5t/gF7Ku6HQ25iI0YIpMrwa2NTywTkvM\nVYGDVcb8zfJzFubiNLl5F7gZU4wC00M1e6+gnOhqVCL5KBLCc9Ix1eP7gm6epB443pE5VF/cT7n0\nhnjN47JlWQWbxERzf9my/Ndzoo0bF/Lww7fRvftpKt6ISDTMwRREUgLL3wFNA/fLYYoXfrL6Z2bK\na+Ref8xomFuB6WQVQ7IXWc7EjAS6BfgtaP/vAM0wsxGmYgpN35JVvKiJKYbkJTPe3Lb3JVnHWRNT\nRNmPmRIGcHHQtrJv493ANnL6G3wHXBK4XwOYGHjeREwRZx7mgjLB/sDMvsjPT5hiW063vRxbvAEz\npS2UAk723IpINqEUcOZhmhdfHnQTERGRfLRqdexom8RE85hb7d8PxYvbjkJEPCT71Ml+wL7AY29g\nihmfYqbxDMYUGLIXK/xBP/3ZHp+N6a0zDzOyZhemH0z2bYzEjP54LbCvcZj+N7UwDcB8wObAeqMx\njYqXAk9gCig5HVf2mHLb3ljMFLJPAts7gpkSlRQ49pvIaoac0zYycjjuzOfWCDxvPOYS3gSOrW1g\nv9mtAC4M3C+D+eK+NiYvoVwhqhimn+mGbI9XBX4N3E/AFMraZntOAmaklYjkIXv1OSfvASUwI3Ey\ndYpOOCEJTJOPrEmT4H//Mz9FRETkeHffDeefb35GQ0JCAoR2biIi4lXfYYom0XIqMAEzhSonozDF\nn5wu911QbTEFsyaYnkaQ1dB5BzA06Ll1MdPT3kVEchVKD5yyQItoByIiIiLOtn8/lFSHAhGRaIpm\nM/e2mJFMd+XxnEHAM8CdEdjfIcy0sOFBj7XHTGerku25LTBXGhORPIQyheprzIibczDNsM6OakSW\nlCwJmzf7bIchERKv/Ta8SLn0BuXRG/bvh59/9tkOQ0TEy86N4rZnYq509Vkez9lOZIo3YKawvcix\njaenYUb3fBT0WB1Mw2r1wBHJRygjcC4kay4kmKrwldEJx57ERNitWZciIiK5Ug8cERGJglAaHIsI\neRdwcqrMJhDdYX3WJCZCQkKy7TAkQpKTk22HIBGiXHqD8ugN+/dD/frJtsMQERERiUt5FXAyGxUH\nF2w8W8CpWBHS0/N/noiISLzavx9KlbIdhYiIiEh8yqsHTlrgtinolrnsOYmJ8McfPtthSISo34Z3\nKJfeoDx6w7598O23PtthiIiIiMSlUJoYx4Xy5WHvXshQ6ywREZEcqQeOiIiIiD0JtgMIg9/vj84s\nrvLlYcsWqFAhKpsXERFxtdq1YeZM8zMaEhISwJ3nJiIiIiJRpxE4QdQHR0REJHe7dkHZsrajEBER\nEYlPKuAEKVbMx99/245CIkH9NrxDufQG5dH9MjLgjz/g++99tkMRERERiUsq4AQpW1YjcERERHLy\n559mqvEJJ9iORERERCQ+uXGeedR64LRpAykp5qeIiIhkWbcOOnWCr7+O3j7UA0dEREQkdxqBEyQx\nEU2hEhERycFvv8Gpp9qOQkRERCR+qYATZPdun6ZQeYT6bXiHcukNyqP7/f47VKmiXGZTBngfWAIs\nAKoGHm8IrACWAoPshCYiIiJeowJOEPXAERERydlvv5kCjhzjDuBz4ArgbeDBwOOjgU5AE+BSoK6V\n6ERERMRTitkOwEkuvjiZH3+0HYVEQnJysu0QJEKUS29QHt3v99/hjDOUy2xeJevLsDOBv4FyQHFg\nY+DxeUALIDXm0YmIiIinaAROkGrVYNMm21GIiIg4j0bg0B1Yl+1WD8gAPgZ6A+8BFYCdQevtCjwm\nIiIiUigq4ATZscPHxo35P0+cTz0avEO59Abl0f1+/900MY7jXI4F6mS7fRH4XXPgcmAG8A9mFE6m\n8oAmaIuIiEihaQpVkCpVIC0N/H5I0EVMRUREjsocgbNtm+1IHOVh4BdgIrAHOIwZcXMQqIGZRnUV\nMDj7ilWrVvVv3bo1ZoGKiIiIa3xJLv3zNAInyPXXJ1O8OOzYYTsSKSz1aPAO5dIblMfjzZ17bOP8\n9HTzmFNljsBRLo8xFugMLAYmA7cHHu8JTAJWAmswjY6PsXXrVvx+v24h3B5//HHrMbgp3mjvP9Lb\nj8T2wt1GOOsVdB3b/x7cdHPb38p2vHqtR3e9gqxTmGM7fNhPy5Z+Hnoo6zHgwtxOPDQCJ5vq1WHj\nRjjpJNuRiIiIlzVuDI8+Cs88Y5aD7zvN3r1w8CBUUCeX7P4Ars3h8ZXAZTGOxbPcVjS0HW+09x/p\n7Udie+FuI5z1bOfXy9z2t7Udr17r0V0vVvl96ilzjvX006E9340ThfyBqlTE+Xw+RoxIpkMH6NAh\nKruQGPH5fNbfVCUylEtvUB5zlp4OvXub+yNHQmKi3Xhy8/PP0Ly5+YIjmrlMMPOX3XhuEo6onc+I\niHOkpKQwbtw422GISBSF+zr/6CPo3h2++OLYC0XkdT6kETjZJCWhRsYiIiJBdAUqEZHw1K2bYxsL\nEfGQcF7nmzdDSgpMnVqwcyw3fssV1W+sRo6Edetg9Oio7UJERIT09JynUDlxFM5bb8GiRTBxYnT3\noxE4IiIi4nUHD0LTptC+PTzwwPG/z+t8SE2Ms6le3VyJSkREJJqWLcsq2CQmmvvLltmOKmfffQe1\na9uOQkRERMT9+vc3F4a4//6Cr6sCThCfz6cpVB7h8/lshyARolx6g/J4vFatjh1tk5hoHnOi4AKO\ncikiEjq9Z4p4X0Fe51OmwIcfwrhxkBDGmGP1wMkmKQk2bYKMDCii8paIiAjffQe1atmOQkRERMS9\nvvsO7rkHFiwIf8q8G+eZR33OeJUqsGYNVK0a1d2IiIg43v795iRj1y444YTo7ks9cERERMSLdu+G\nBg3M9Knu3fN+rnrgFJCmUYmIiBg//mj6w0W7eCMiIiLiRX4/3HknNGyYf/EmPyrgBMmcu1a9ugo4\nbqf5xt6hXHqD8uhe2RsYK5ciIqHTe6aI9+X3Oh81Cr75xlzxurDUAycHtWqZP7CIiEi80xWoRERE\nRMKzahUMHgzLl0OpUoXfnhvnmUd9zvjs2aY69tFHUd2NiIiI43XsCK1bQ5cu0d+XeuCIiIiIV/z5\nJ9SrB6+8AjfeGPp66oFTQBddZJoY67xKRETi3fffawSOiIiISEFkZJgvv266qWDFm/yogBMkc+7a\naaeZ4s3WrXbjkfBpvrF3KJfeoDy605EjsH79sZcQVy5FREKn90wR78vpdf7MM+bKU0OGRHZf6oGT\ng4QEuPhiWLvWFHNERETiUVoanHQSlCljOxIRERERd1i40DQuXr068lfxdOM885jMGR8wAEqXhkGD\nor4rERERR5ozB0aMiF1POPXAERERETf75Re45BKYPBmaNQtvG+qBE4aLLjIjcEREROKVrkAlIiIi\nEpqDB6FDB+jbN/ziTX5UwAkSPHctcwqVuJPmG3uHcukNyqM7rV0LF1xw7GPKpYhI6PSeKeJ9ma/z\nhx6CypXNz2hRAScXNWvCX3+ZS3+JiIjEo+XLoVEj21GIiIiIONu0afD++zBhAhSJYpXFjfPMYzZn\nvGlTGDwYmjePye5EREQcY+tWqFMHduwwzf1jQT1wRERExG1++AGaNDE9A+vVK/z21AMnTJpGJSIi\n8eqzz8zom1gVb0RERETcZs8eaNfOXDY8EsWb/KiAEyT7HNWLLoI1a+zEIoWj+cbeoVx6g/LoPsuX\nw2WXHf+4cikiEjq9Z4p4l98PvXpB1ao+evSIzT5VwMmDrkQlIiJuMncupKdnLaenm8fCof43IiIi\nIrl74w1TL/jPf2I43Tw2u4momM0ZP3QIKlSA7duhTJmY7FJERCRs6enw6KNmGC9k3U9MLNh29u83\nV1H444/Y/v+nHjgiIiLiBl98AddcA8uWwdlnR3bbeZ0PFYvsrrzlhBPM5VM//xySk21HIyIikrfE\nRFOw6d3bLI8cWfDiDZiTktq19eWFiIiISHZ//QU33QSjRkW+eJMfTaEKktMc1WbNYNGi2McihaP5\nxt6hXHqD8ugueU2fUi5FREKn90wRb8nIgNtugxtugPbtzWOxfJ2rgJOP5s1VwBEREXfInEI1cqS5\nPfrosT1xQqX+NwVWC0gHigeWGwIrgKXAIFtBiYiISGQ9/zz8/Te88IKd/btxnnlM54zv3Qsnnwy/\n/w5ly8ZstyIiIgU2dy40bpw1bSo93czNbtUq9G34/XDqqbBqFVSrFp04c+PSHjjlgXeAekA14CCw\nFmgLbATmAo8CqdnWUw8cERERF1m8GDp3Ni1WTj89evvJ63xII3DyUbo01K8Pn35qOxIREZG8tWp1\nbM+bxMSCFW8ANm6EYsXgjDMiG5tHJQCvAw8D+wKPlQdKYIo3APOAFrEPTURERCJl61a45RaYuPRN\naQAAIABJREFUODG6xZv8qIATJLe5a82bw8cfxzYWKRzNN/YO5dIblEf3WL4cLrss98thxnEuuwPr\nst1mY0bYfBV4TgKmgLMzaL1dQIXYhSkiThLH75kinnHoEHTsCL16QYscvpKJ5etcV6EKwZVXwj33\n2I5CREQk+tT/JldjA7dg6zGFne5AFcxom9ZAuaDnlMf0xzlOSkoKSUlJACQmJlK3bl2SA5e9zDwZ\n1LKWtaxlLWtZy3aXR42CcuWSefTRnH+fmppaqO2npqaSHmhamJaWRl7cNs8cLMwZP3QIKlc2w8or\nV47prkVERGLqvPNg3Di45JLY79ulPXAybQTOIasHTrvAY3OAwcDn2Z6vHjgiIkHGjx9PpUqVaN26\ndUz3+8cff1CvXj0+/vhjzj77bDp16sTvv/8OwMaNG2nUqBGTJ08+Zp3WrVszYsQIFi9ezKBBg6hZ\nsyZHjhyhSJEiTJgwgWqxbiInUTNzJvznP/DFF7GrBeR1PqQROCE44QRo0gR8PmjXznY0IiIi0bFx\nI+zYAfXq2Y7ElYKrMT2BSUBRzKic7MUbERHJpmvXrjHf56FDh7jrrrsoU6bM0cfeeecdANLT02nW\nrBmvvPJKrusnJCTQpUsXhgwZAsCYMWN48cUXGT58eHQDl5hYvx569oQ5c5wzkKOI7QCcJHM4U050\nOXF3ySuX4i7KpTcoj+4wdy5cey0UyePsQLnMVQ3M6BuAlcBlQAPgMWsRiYh1bnvPHDduHJdffjlN\nmzZl0aJFnHXWWXTt2pXLLruMgQMHcs8993DppZdy2223ATBz5kwaNmxI06ZN6dixI9lHFq5atYoG\nDRrQvHlzOnXqxO233w7Aww8/zFVXXUW9evXo1q0bAIMHD+b1119nyZIlXHvttbRp04YLLrjgaHEk\nWOvWrWnWrNnRW58+fcI63gceeIBevXpx6qmnHve7QYMG0bdvX0455RQAHn/8cerXr0/r1q3ZsmXL\n0ecFH/Nff/119Pnibnv3Qvv2MHgwNGiQ93Nj+TrXCJwQXXkljBljOwoREZHomTsXAufRIiISpypV\nqsR7770HwKZNm/D5fFSpUoVKlSqxatUqhg8fTo0aNfjnn3+YMmUKDz74IG3btmXixIns3LmTChWy\n+rb37NmTSZMmUbt2bQYOHMjWrVvZtWsXlSpVYv78+WRkZHD++eezdevWzGkjAGzevJl169axf/9+\nqlatyiOPPHJMjLNnzy70cY4bN46TTjqJq666imefffaYQswff/zBokWLePXVVwFYs2YNixcvZvXq\n1ezfv5/zzz8fMMWbyZMns2LFCnbv3s1PP/3EkiVLCh2b2NenD5x/vmlc7CQq4ATJbCSUkwsvNMPK\nf/0VTjstdjFJePLKpbiLcukNyqPz7dkDS5fClCl5P0+5FBEJndveMxMSEjjnnHOOLleuXJnTA9dM\nLlOmDLVq1QKgQoUKHDhwgJdffplnn32WYcOGUbt2bdq0aXPM9n777Tdq164NQNOmTZkyZQqlSpVi\n27ZtdO7cmbJly7J7924OHTp0zHp16tShSJEilC5dmlKlSh0X5/XXX8+ePXuOLp977rmMHDkyz2Pb\ns2cP119/PQAtW7Zk3rx5JCQksHDhQlJTU+natSsffPABJ598MtOnT+eWW245WlT64YcfqBeYX1yy\nZEkuCTSKS0hI4JZbbjk6Smjx4sW0a9eO9evX5xmLONvYsbBiBaxalftVOYPF8nWuAk6IihSB5GRY\nvBi6dLEdjYiISGQtWgT160MFXfBaRCSuFQmaR5uQx6dXv9/PG2+8weDBgznppJPo2bMns2bNOjq9\nCuCMM87gu+++o3bt2nz22WcAfPjhh/zyyy9MmTKF7du3M2vWrOOmXuW1X4A5c+YU+LjKlCnD4sWL\njy4Hj+pp1qwZr7/+OieffDIAH3/8MY89ljUD9txzz2X48OFkZGRw+PBh1q5de8zfIdPpp59+XDFK\n3GXtWhgwAD75BMqWtR3N8dQDJ0h+c9eaN4ePP45NLFI4bptvLLlTLr1BeXS+uXOhVav8n6dcioiE\nzo3vmcHFk7zuJyQk0KBBA66//npatGjBtm3bjruC1GuvvUa3bt1o2bIln3/+OcWLF6dBgwb8/PPP\nXHnlldx7771ceumlbN269Zh95LbfWPnhhx+oUaPG0eULL7yQG264gQYNGtCmTRtOPPHEo7+bPHky\nzZo1o2XLltx6662MHj065vFKZKSnm743w4dDYOBYSGL5OnfjpTqjdtlNn8+X5/Cn9evhiivgl1/y\nbvAo9uWXS3EP5dIblEdn8/uhWjWYPz//E5Zo5tLllxEvKF1GXCQOxPv/f6+99hodOnTgxBNP5LHH\nHqNEiRIMHDjQdlgix/H74cYb4YwzTAGnICL9Os/rfMiNJ0lWT3guuABGj4ZGjayFICIiElFffQVt\n2sCGDaHN9Y4WFXBERLxlxowZPPPMM5QtW5bExETGjx9PxYoVbYclcpwXXoCZM83UqeLF7caiAk4E\nPfmkGVr18svWQhAREYmoIUPgt98K/o1TpKmAIyIiIrG2ZAl07GiaFlerZjuavM+HNBEoSChz19q3\nh+nTzRArcS43zjeWnCmX3qA8OtvcuRC4MEe+lEsRkdDpPVPE2X77DTp3hvHjwy/exPJ1rgJOAZ17\nrulG/fnntiMREREpvD//hK+/Nj3eREREROLF4cNw883QowdcfbXtaELjxmHK1occDxoE+/bBiy9a\nDUNERKTQJk2CqVPh/fdtR6IpVCIiIhI7AwaYy4b/739QtKjtaLJoClWEaRqViIh4RaiXDxcRERHx\nig8+gMmTzRdZTire5EcFnCChzl2rUwdOOAHWrIluPBI+zTf2DuXSG5RHZ9q/Hz76qGAFHOVSRCR0\nes8UcZ6ff4Y77jAjkE88sfDbUw8ch0tIyBqFIyIi4lazZ8NFF8Fpp9mORERERCT69u83n+UHDoSG\nDW1HU3BunGfuiDnja9aYS439+KMp6IiIiLjNv/8NbdtCSortSAz1wBEREZFo6tEDdu6EKVOc+zle\nPXCi4KKL4MgR+Oor25GIiIgU3Pbt8Mkn0K6d7UhEREREom/cOPj0U/jvf51bvMmPCjhBCjJ3TdOo\nnE3zjb1DufQG5dF53n3X9L4pV65g6ymXIiKh03umiDN89RU88ADMmFHwc5/8qAeOS7RvD9Om6WpU\nIiLiPhMnwq232o5CREREJLr++ceMOB46FM47z3Y0hePGgUOOmTPu98OZZ8KHH7r/H4KIiMSPH36A\n5GTYsgWKFbMdTZZ464FzVcpV9O3cl1YtdR13ERGRaPD7zcCLU06B116L7LbnLpjLsMnDOOA/QImE\nEhH7Pz2v8yEHnba5T0IC3HwzTJgAzz9vOxoREZHQTJwInTs7q3gTj+YnzWfDyA0AKuKIiIhEwSuv\nwObNMHlyZLc7d8Fc7h15Lxsu2nD0sVj8n64pVEHCmbt2xx0wfjwcPBj5eCR8mm/sHcqlNyiPzpGR\nAW+/Hf70KeUysjZctIHh7wy3HYaIRIneM0XsWbrUDLSYNg1KlIjstodNHpZVvNlofsTi/3R991ZI\nZ58N554L778PN91kOxoREZG8LV1qmvddeKHtSCTTvJ/nkfBEvMwcE4kzG4EltoMQiWN3Q/XxUdju\nRiDp+If3Z+yPws6yuPFswTE9cDJNmWIuRbZwoe1IRERE8tajB/zrX/Dgg7YjOV689cBhsLlz9aar\n+ejNj6wGIyIi4hVHjsBVV8Fll8HTT0dnH1fffjXzk+Yf/3gE/k/P63xIU6gi4MYbzWXJfvrJdiQi\nIiK5278fZs6EW26xHYlkqrmmJvd0usd2GCIiIp4xaJDpV/vEE9HbR9/Ofam5tuYxj8Xi/3QVcIKE\nO0e1RAno2hXGjIlsPBI+zTf2DuXSG5RHZ5g9Gy6+GE47LfxtKJeRc/Wmq3m1z6tqYCziYXrPFImt\nuXPNRYYmT4aiRaO3n1YtW/Fq71e5etPVXPjZhTH7P109cCKkRw9o2hSeegqKF7cdjYiIyPEmTAi/\nebHkKAH4BfgxsLwceBRoCAwFDgPzgSdzWlnTpkRERCInLQ26dTOjjU8+Ofr7a9WyFa1atsLn85Gc\nnBz9HeLOeeaO64GT6coroWdP6NDBdiQiIiLHSkuD+vXNz7JlbUeTMxf2wDkLeBn4d7bH1wJtMS0O\n52KKOqnZnuPY8xkRERG3OXAAGjc208Tvu892NIWjHjgxctdd8MYbtqMQERE53ogR5lsppxZvXKoe\ncBqwCFOoORsoD5Tg6EVFmQe0sBKdiIhInOjXD5KSzE8vUwEnSGHnqLZpA+vWqZmxE2i+sXcol96g\nPNq1axe89Rb06VP4bcVxLrsD67LdtgJDgCsDP98GygE7g9bbBVSIaaQi4hhx/J4pEjNvvw0ffwxv\nvmmaF8daLF/nKuBEkJoZi4iIE40bB82bQ7VqtiNxtbFAnWy31cAHgd8vA6piCjblgtYrD6THLkwR\nEZH48fXXZsrUjBlQvrztaKLPTfPMMzl6zvj69dCkCWzZombGIiJiX0YGnH22aWDcqJHtaPLmwh44\nzwJ/AS8CFwKjgEaYHjjtMNOo5gCDgc+zrevv2rUrSUlJACQmJlK3bt2jTRAzv83Tspa1rGUta1nL\nOS/v2gXnneejc2d47jn78YS7nJqaSnq6+a4nLS2N8ePHQy7nQ246Scrk6AIOmG8577pLzYxFRMS+\n2bPNFRJXrrQzrLggXFjAqYCZNlUWc8Wp3pgrUl2KuQpVUUwPnMdyWNfx5zMiIiJO5fdDx46QmOi9\nPrRqYhyizGpYYd15J7z2WkQ2JWGKVC7FPuXSG5RHe4YONQ39IlW8US6P8Q/QGmgGtCTrcuIrgcuA\nBuRcvBGROKH3TJHoGD7c9J4dNsx2JLF9nauAEwVt28LGjebbThEREVu++gq+/x7at7cdiYiIiEhk\nfPYZPP00TJ8OJUvajia23DRMOZMrhhyPHAkLFsB779mORERE4lX37lCzJjzyiO1IQuPCKVSF4Yrz\nGRERESfZvh3q1TOft1u3th1NdOR1PuTGkyRXnPDs2wc1apgizvnn245GRETizR9/wDnnmOb6J55o\nO5rQqIAjIiIiuTlyBK691hRwnn3WdjTRox44IYrk3LVSpUzPgeeei9gmpQA039g7lEtvUB5j7/XX\n4aabIl+8US5FREKn90yRyHnySTh0yFycwUli+TovFrM9xaFevcwonJ9/Nj9FRERi4cAB00x/4ULb\nkYiIiIgU3kcfwdixsHo1FIvjKoYbhym7asjxY4+ZeXqjR9uORERE4sXEieY2f77tSApGU6hEREQk\nu82b4ZJLYNo0uPxy29FEn3rgWLR9u+lB8M03cOqptqMRERGvO3IE6taFF14w88TdRAUcERERCXbg\ngCnatG8PDzxgO5rYUA+cEEVj7tpJJ8Ftt8HLL0d805IHzTf2DuXSG5TH2Jk6FcqWhWuuic72lUsR\nkdDpPVOkcO6/H6pWNT+dKpavcxVwYqB/f3jzTfjrL9uRiIiIlx0+DIMHw9NPQ0K8jGMRERERT5oy\nBT78EN56S+c1mdz4Z3DlkOM77oAzzoDHH7cdiYiIeNW4cTB+PCxa5M4THU2hEhEREYBvv4UrroAF\nC8zU8HiiHjgOsH49NGpkrkhVrpztaERExGsOHjQ91yZOhCZNbEcTHhVwREREZPduaNDATJvq1s12\nNLGnHjghiubctX/9C5o3hzfeiNouJIjmG3uHcukNymP0vfkm1KoV/eKNcikiEjq9Z4oUjN8Pd94J\nDRu6p3gTy9d5HF9BPfYefhiuuw7uvhtKlbIdjYiIeMW+fabvzXvv2Y5EREREJHyvvWamT332me1I\nnMmNw5RdPeS4fXuoXx8GDLAdiYiIeMXQobBkCcyaZTuSwtEUKhERkfi1ahVcfz0sXw5nnWU7GnvU\nA8dBfvrJDAf79ls4+WTb0YiIiNvt3m2m6c6fD3Xq2I6mcFTAERERiU9//gn16sErr8CNN9qOxi71\nwAlRLOaunXUW3HorPPFE1HcV1zTf2DuUS29QHqNnxAhITo5d8Ua5FBEJnd4zRfKXkQFdusBNN7mz\neKMeOB43cKBpNNmnD9SubTsaERFxq3/+gZdegqVLbUciIiIiEp5nnoE9e2DIENuROJ8bhyl7Ysjx\nSy+ZfgUffGA7EhERcavBgyEtDcaNsxxIhGgKlYiISHxZsAC6doXVq6FqVdvROINTeuCUAt4GTgJ2\nAV2BHdme8yrQOPB7P9AG2JntOZ444TlwwIy+GTsWmjWzHY2IiLjNn3/COeeYhn81atiOJjJUwBER\nEYkfW7ZAgwbwzjtmOrgYTumB0wv4ErgcmAAMzOE5FwNXAc2AKzm+eBNVsZy7VqIEPPcc9O9v5vxJ\nZGm+sXcol96gPEbe4MHQoUPsizfKpYhI6PSeKZKzgwehY0e49173F29i+TqPZQGnMfBR4P5HQIsc\nYvkXMAZYCtweu9DsuOkmU8iZNMl2JCIi4iapqTB1Kjz1lO1IRERERAruwQehcmXzU0IXrWHK3YF+\n2R7bBvQBvscUazYBZwT9vizQF3gZ01x5MdANWJdtO54acrx8Odx8M3z/PZQubTsaERFxOr8fmjaF\n226DO++0HU1kaQqViIiI902dCgMGwBdfQMWKtqNxnrzOh6J1FaqxgVuwGUC5wP1yQHq23+8FhgH7\nA8uLgAs5voBDSkoKSUlJACQmJlK3bl2SA+OuMocvuWX54EEfNWrA0KHJPPKI/Xi0rGUta1nLzl7e\nvDmZgwehZk0fPp/9eAqznJqaSnq6OR1IS0tDREREvO2HH6B3b5g3T8WbcMTyW67/YAo3TwA3A02B\n3kG/rw28g+mDUxTwAXcA32XbTtS+sfL5fEdPLGNpwwa49FL45hs45ZSY796TbOVSIk+59AblMTLS\n000D/A8+gEsusRNDNHOpETgi4jX6/08ky5495nNv377eGkUc6de5U5oYjwLOAz7FFGaeCDx+H9Aa\nU6iZAHyGmT41juOLN55Us6YZCj94sO1IRETEyR5/HFq3tle8EREREQmH3w89e0K9etCjh+1o3MuN\n33J58hurv/6CWrVgwQK48ELb0YiIiNN89RW0aAHffgsnnmg7muhw4QicopjeffWA4sAgzIUaGgJD\ngcPAfODJHNb15PmMiIhITl5/HUaMgJUr1fs1P04ZgSN5qFTJXFb8jjvg8GHb0YiIiJP4/Wa++FNP\nebd441K3YvoJNgHaYKaDA4wGOgUevxSoayU6ERERB1i9GgYOhBkzVLwpLBVwgmQ2WLTl9tuhfHl4\n9VWrYXiC7VxK5CiX3qA8Fs7bb8O+fabIb5tyeYyrgF+BOcAY4H2gPGY0zsbAc+YBLaxEJyLW6T1T\n4t1ff8FNN8GoUXD22bajiY5Yvs6jdRUqCUNCArzxhmnsdOONUKOG7YhERMS2f/6Bhx6CWbOgaFHb\n0cS17kC/bI9tB/YB1wOXA28BnYGdQc/ZBeh/dBERiTsZGabXa5s20L697Wi8wU3zzDN5fs74iy/C\n/PnmluDGDImISMTcdx/s3g1jxtiOJPpc2APnHWAaMDOw/BtwNrACc+EGgHsxX5i9lG1dz5/PiIhI\nfBsyBObOBZ8PTjjBdjTukdf5kEbgONB998GUKTB+PKSk2I5GRERsWbcOJk0yjYvFkZYC12EKOBcC\nmzAjbg5iRt1sxEyzGpzTyikpKSQlJQGQmJhI3bp1j16GNHM4tpa1rGUta1nLblzOyEhm+HAYNszH\nsmX243HycmpqKunp6QCkpaWRFzd9y5Upat9Y+Xy+o39I21JT4eqrzVVHTjnFdjTu46RcSuEol96g\nPBZcRgZccQV07gy9etmOJks0c+nCETjFgVHAuYHlXkAqpnHxUMxVquYBj+WwrkbgiMQB/f8n8ejX\nX+GSS2DCBHMFTa+L9OtcI3BcqG5d6NYN+vaFd9+1HY2IiMTa0KHm55132o1D8nQQ0xsnu5XAZTGO\nRURExLpDh6BjR7j77vgo3sSam77lyhQ331jt2wcXXgj/93/w73/bjkZERGLlm28gORlWroyvhvYu\nHIFTGHFzPiMiIvHj/vvN1O85c6BIEdvRuFNe50P6kzpYqVKmaWXv3uYqJCIi4n0HD8Ktt8Kzz8ZX\n8UZERETcbeZMmD4dJk5U8SZa9GcNktlQyEmuuAKuvRYGDLAdibs4MZcSHuXSG5TH0D39NFStCt1z\nmpjjAMqliEjo9J4p8WL9eujZE6ZNg8qVbUcTW7F8nauA4wIvvACzZ8Mnn9iOREREomnlSnjjDfjv\nfyEhXiYSiYiIiKvt3Qvt28MTT5jmxRI9bjw9jMs547NmmVE4a9ZAmTK2oxERkUjbu9c0sB8yxJwE\nxSP1wBEREXEXv99cfOfgQXj7bX0BFQl5nQ+58c8btyc8t94KJUuavjgiIuIt99wD6elm3ni8UgFH\nRETEXcaOhZdfNqOIy5a1HY03qIlxiJw+R/W112DJEpgyxXYkzuf0XErolEtvUB7ztmABvP8+DB9u\nO5L8KZciIqHTe6Z42dq1ZpbI9OnxXbxRDxzJUblypnhzzz2wYYPtaEREJBL+/tsMPR47FhITbUcj\nIiIikr/0dDPle8QIqF3bdjTxw43DlON+yPGwYWaI/bJlULy47WhERKQwunSBihXdMfom2jSFSkRE\nxPn8fmjTBs4803w2lcjSFCqPuecec4nZhx+2HYmIiBTGtGnw+efw/PO2I/GcYkA7oAlQHhgDjAOS\n7IUkIiLiDS++CNu2wf/9n+1I4o8KOEHcMkc1IQHefNOc+M+dazsaZ3JLLiV/yqU3KI/H++UXU5Cf\nOBFKl7YdTehcksvxQFvgIWAJsBVYBrxpMygRiT8uec8UCdmSJaZp8dSpmg2SKZav82Ix25NEVOXK\nMHmymXf4xRdw2mm2IxIRkVAdOADt2kG/ftCgge1oPKk60AgoCnwLPB54vKO1iERERFzut9+gc2cY\nPx6qVbMdTXxy4zxzzRkP8vTTsHAhfPwxFC1qOxoREQlFz56wfbu5akOCG/8njpII9sBZDDTL575t\nOp8RERHXOHwYmjeHZs1g8GDb0XibeuB42MMPm8LN00/bjkRERELx5ptm+PFbb6l4E0WVgKuAq3O4\nLyIiIgX06KNQsiQ89pjtSOKbCjhB3DhHtWhR0z9h9GjzgUAMN+ZScqZceoPyaKxeDQ89BDNnQvny\ntqMJj0tyuQboBNycw30RkZhxyXumSJ7efx+mTIFJkzTrIyfqgSMFUrWq+Sa3SxdYuxZOPNF2RCIi\nkt2OHaZv2ejRULu27Wg87xLAj+mBUxzYDpwI/GUzKBEREbfZsAF69IAPPtDnTCdw4+BtzRnPxYMP\nwpdfmitTFVNpTkTEMY4cgWuugYsv1iXD8xLBHjiZ3gKeA34AagJPAF0iuP3C0PmMiIg42r590KgR\ndOtmrpwpsZHX+ZAKOB5y+DC0agXnnAPDhtmORkREMj38MKxaBfPmqcCelygUcD4BLg9aXgo0ieD2\nC0PnMyIi4mg9esCuXfDOO+rbF0tqYhwit89RLVYM3n0XFiyAUaNsR2OX23MpWZRLb4jnPM6aBZMn\nm7njXijeuCyXO4CngBuAF4BNdsMRkXjjsvdMkaPGjYOlS2HMGBVv8hPL17kKOB6TmAizZ8MTT5jL\ni4uIiD3ffw933WUuF37SSbajiUtdgL+B64BfgW52wxEREXG+L7+EBx4w5y/lytmORoK5sZamIcch\nWLIEOnSATz4xU6pERCS2du2CBg2gf3+44w7b0bhDFKZQOZnOZ0RExHH++Qfq1zcDAjp3th1NfFIP\nnDg1diw89xysWAGVK9uORkQkfvj9poiemGiGHktoVMARERGxx+83V8w85RR47TXb0cQv9cAJkdfm\nqHbvDjfcYF6EBw/ajia2vJbLeKZcekO85fHRR2HLFhg+3HYkkRdvuRQRKQy9Z4qbvPIKbN5sfkro\n1ANHIub556FsWejTx1RURUQkukaMMHPGZ8+GkiVtRyMiIiKSv6VLzWfHadOgRAnb0Uhu3DhMWUOO\nC2jXLmjSBFJS4L77bEcjIuJdM2ZA377mJKh6ddvRuI+mUImIiMTetm1Qrx688QZcd53taEQ9cIRN\nm+Cyy0wvhlatbEcjIuI9n34K7drBvHlw0UW2o3EnFxZwHgKuCdyvCJwCnAo0BIYCh4H5wJM5rKvz\nGRERse7IEWjZEho3hqeesh2NgHrghMzLc1TPPNN8M5ySAuvW2Y4m+rycy3ijXHqD1/P4zTem39ik\nSd4v3ng9lwX0PNAscNsC3Bp4fDTQCWgCXArUtRKdiFin90xxukGDoEgRGDzYdiTupR44EhWXXQZD\nh0Lr1vDrr7ajERHxhi1b4Npr4eWXzTdYEpfaAn8BC4HyQHFgY+B384AWluISERHJ1Zw5MGECTJ4M\nRYvajkZC4aZhypk05LiQXngB3noLliyBk0+2HY2IiHv9/Tc0bQpdu8IDD9iOxv0cPoWqO9Av22Mp\nwBfAKuBm4GfgdGA6ZhoVwO1ADeCxbOvqfEZERKzZuBEaNoSZM830KXGOvM6HisU2FHGCBx+E3bvh\nqqtg0SKoVMl2RCIi7rN/P7RpAy1awP33245GYmBs4JbduUA6pngDsBMoF/T78oHfHyclJYWkpCQA\nEhMTqVu3LsnJyUDWcGwta1nLWtayliO9fPAgPPJIMgMGwKFDPnw+Z8UXb8upqamkp5tThbS0NPLi\n1G+58hK1b6x8Pt/RP6TX+f3mA8fSpbBwIZQrl/86bhJPufQ65dIbvJbHI0egY0cz3Pidd8zc8XgR\nzVw6fARObvpipqQPDXpsLdAOM41qDjAY+DzbehqBIxIHvPb/n3hDz57w558wdSokuO1/XQeK9Otc\nTYzlOAkJ8H//Z5ptXn897N1rOyIREXfw+6FfP3PiM2FCfBVvJEdnkzX6JlNPYBKwElgl+l3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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5th-order modulator: NTF *with* zeros optimization\n", "\n", "This time we enable the zeros optimization, setting `opt=1` when calling synthesizeNTF(), then replot the NTF as above." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Synthesize again!\n", "H0 = None\n", "H1 = synthesizeNTF(order, OSR, opt=1)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "plotPZ(H1, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH1 = dbv(evalTF(H1, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH1)\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH1 = dbv(evalTF(H1, z))\n", "semilogx(f*2*OSR, magH1)\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H1 = dbv(rmsGain(H1, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H1*np.array([1, 1]))\n", "semilogx([fstart, 1], sigma_H1*np.array([1, 1]),'-o')\n", "text(0.15, sigma_H1 + 5, 'RMS gain = %5.0fdB' % sigma_H1)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hWkvxq1X1gDWxXhiEK1ba1nYqbE+ZkktBAbRokc3PP8PUqbmsXAk1amSzfj38/HMumzZB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0cpYCMSX5ddZkGcW26Jz/7WrIHMTCtJ8ksGzvffwznnwPLl0efatrUSzHbtnBuHmhiXkWpUS1at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\n3QYnneS9O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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "5th-order modulator: comparison\n", "-------------------------------\n", "\n", "Overlayed plots follow to ease comparison of the two synthetization approaches." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Synthesize!\n", "H0 = synthesizeNTF(order, OSR, opt=0)\n", "H1 = synthesizeNTF(order, OSR, opt=1)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "# we plot the singularities of the optimized NTF in light \n", "# green with slightly bigger markers so that we can better\n", "# distinguish the two NTF's when overlayed.\n", "plotPZ(H1, markersize=7, color='#90EE90')\n", "hold(True)\n", "plotPZ(H0, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "magH1 = dbv(evalTF(H1, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH0, label='All zeros in z=1')\n", "hold(True)\n", "plot(f, magH1, label='Optimized zeros')\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "legend(loc=4)\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "magH1 = dbv(evalTF(H1, z))\n", "semilogx(f*2*OSR, magH0, label='All zeros in z=1')\n", "hold(True)\n", "semilogx(f*2*OSR, magH1, label='Optimized zeros')\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H0 = dbv(rmsGain(H0, 0, 0.5/OSR))\n", "sigma_H1 = dbv(rmsGain(H1, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H0*np.array([1, 1]))\n", "plot([fstart, 1], sigma_H0*np.array([1, 1]), 'o-')\n", "text(0.15, sigma_H0 + 5, 'RMS gain = %5.0fdB' % sigma_H0)\n", "#semilogx([fstart, 1], sigma_H1*np.array([1, 1]))\n", "plot([fstart, 1], sigma_H1*np.array([1, 1]), 'o-')\n", "text(0.15, sigma_H1 + 5, 'RMS gain = %5.0fdB' % sigma_H1)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "legend(loc=4)\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Sm6IFcpsdnojPBAYG0O+hezg18UcmRcxk0f55hA2uQKe3P/TJgscikvW+/Raa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NAAAg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\new3DMAw3Nzfj33//Tdlv+/btxpo1awxPT09j165dhmEYRvv27Y2mTZsai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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "8th-order bandpass Modulator\n", "----------------------------\n", "In the following, we synthesize an 8th-order modulator with optimized zeros." ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 8\n", "OSR = 64\n", "opt = 2\n", "f0 = 0.125\n", "H = synthesizeNTF(order, OSR, opt, 1.5, f0)\n", "subplot(121)\n", "plotPZ(H)\n", "title('Bandpass NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, f0 - 1./(2.*OSR), 50), \n", " np.linspace(f0 - 1./ (2 * OSR), f0 + 1./(2.*OSR), 100), \n", " np.linspace(f0 + 1./(2.*OSR), 0.5, 50)))\n", "z = np.exp(2j * pi * f)\n", "magH = dbv(evalTF(H, z))\n", "subplot(222)\n", "plot(f, magH)\n", "hold(True)\n", "G = (np.zeros((order/2,)), H[1], 1)\n", "k = 1./np.abs(evalTF(G, np.exp(2j*np.pi*f0)))\n", "G = (G[0], G[1], k)\n", "magG = dbv(evalTF(G, z))\n", "plot(f, magG, 'r')\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "#axis([0, 0.5, -100, 10])\n", "grid(True)\n", "xlabel('Normalized frequency ($1 \\\\rightarrow fs$)')\n", "ylabel('dB')\n", "title('Bandpass NTF/STF Magnitude Response')\n", "f = np.linspace(f0 - 0.3/OSR, f0 + 0.3/OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH = dbv(evalTF(H, z))\n", "subplot(224)\n", "fstart = -.5\n", "plot(2*OSR*(f - f0), magH)\n", "axis([- 0.6, 0.6, -100, -60])\n", "grid(True)\n", "sigma_H = dbv(rmsGain(H, f0 - 0.25/OSR, f0 + 0.25/OSR))\n", "hold(True)\n", "#plot([-0.5, 0.5], sigma_H*np.array([1, 1]))\n", "plot([-0.5, 0.5], sigma_H*np.array([1, 1]), 'o-')\n", "text(-.2, sigma_H + 5, 'rms gain = %5.0fdB' % sigma_H)\n", "xlabel('Normalized frequency offset')\n", "ylabel('dB')\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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mG2jUKP5zh5MDO3ZYUqHw54Xv27YNli+H9eth3Tr7mJcHf/0Ff/xhSZ86daBePTj5ZDjl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LAAAg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\n8Ov1OnSGH9v1qqtg0SL4/nu3I8mZV9t27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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further information about NTF synthesis\n", "---------------------------------------\n", "\n", "Please refer to `help(synthesizeNTF)` for detailed - and possibly more updated - documentation!\n", "\n", "###`help(synthesizeNTF)` as of writing:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Help on function synthesizeNTF in module deltasigma._synthesizeNTF:\n", "\n", "**synthesizeNTF(order=3, osr=64, opt=0, H_inf=1.5, f0=0.0)**\n", "\n", "Synthesize a noise transfer function for a delta-sigma modulator.\n", "\n", "**Parameters:**\n", "\n", "order : *int, optional*\n", " the order of the modulator, defaults to 3\n", "\n", "osr : *float, optional*\n", " the oversamping ratio, defaults to 64\n", "\n", "opt : *int or list of floats, optional*\n", " flag for optimized zeros, defaults to 0\n", "\n", "* 0 -> not optimized,\n", "* 1 -> optimized,\n", "* 2 -> optimized with at least one zero at band-center,\n", "* 3 -> optimized zeros (with optimizer)\n", "* 4 -> same as 3, but with at least one zero at band-center\n", "* [z] -> zero locations in complex form\n", "\n", "H_inf : *real, optional*\n", " max allowed peak value of the NTF. Defaults to 1.5\n", "\n", "f0 : *real, optional*\n", " center frequency for BP modulators, or 0 for LP modulators.\n", " Defaults to 0.\n", "\n", " 1 corresponds to the sampling frequency, so that 0.5 is the\n", " maximum value. A value of 0 specifies an LP modulator.\n", "\n", "**Returns:**\n", "\n", "ntf : *tuple*\n", " noise transfer function in zpk form.\n", "\n", "**Raises:**\n", "\n", "ValueError\n", "\n", "* 'Error. f0 must be less than 0.5' if f0 is out of range\n", "\n", "* 'Order must be even for a bandpass modulator.' if the order is\n", " incompatible with the modulator type.\n", "\n", "* 'The opt vector must be of length xxx' if opt is used to explicitly\n", " pass the NTF zeros and these are in the wrong number.\n", "\n", "**Warns:**\n", "\n", "* 'Creating a lowpass ntf.' if the center frequency is different\n", " from zero, but so low that a low pass modulator must be designed.\n", "\n", "* 'Unable to achieve specified H_inf ...' if the desired H_inf\n", " cannot be achieved.\n", "\n", "* 'Iteration limit exceeded' if the routine converges too slowly.\n", "\n", "**Notes:**\n", "\n", "This is actually a wrapper function which calls the appropriate version\n", "of synthesizeNTF, based on the module control flag `optimize_NTF` which\n", "determines whether to use optimization tools.\n", "\n", "Parameter ``H_inf`` is used to enforce the Lee stability criterion.\n", "\n", "**See also:**\n", "\n", "* `clans()` : Closed-Loop Analysis of Noise-Shaper. \n", "\n", "An alternative method for selecting NTFs based on the 1-norm of the \n", " impulse response of the NTF\n", " \n", "* `synthesizeChebyshevNTF()` : Select a type-2 highpass Chebyshev NTF.\n", "\n", "This function does a better job than synthesizeNTF if osr\n", " or H_inf is low." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.8 (default, Jul 26 2014, 17:29:00) [GCC 4.9.1]
IPython2.1.0
OSposix [linux2]
numpy1.8.1
scipy0.13.3
matplotlib1.3.1
deltasigma0.1-5
Mon Aug 11 21:50:24 2014 CEST
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