{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "celltoolbar": "Tags", "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": "3.6.1" }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "fr", "useGoogleTranslate": true }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Kazalo", "title_sidebar": "Kazalo", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "164.988px" }, "toc_section_display": true, "toc_window_display": true }, "colab": { "name": "Filtri.ipynb", "provenance": [] } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "AM9SnrqHLpwn", "colab_type": "text" }, "source": [ "# Filtri\n", "Dejan Križaj, 2019" ] }, { "cell_type": "markdown", "metadata": { "id": "NQ7RjLvOLpwp", "colab_type": "text" }, "source": [ "\n", "\n", "**Namen:** Zvezek (Notebook) je namenjen osnovnemu prikazu uporabe kompleksnega računa pri analizi filtrov.\n", "\n", "Obravnava filtrov pri predmetu Osnove elektrotehnike 2 je le bežna. Pretežno je njen namen pokazati primernost obravnave vezij z izmeničnimi signali s kompleksnim računom za razumevanje osnovnih konceptov filtriranja signalov. To poglavje torej ne spada med t.i. obvezna znanja pač pa bolj med dopolnilna. Je pa jasno, da v praksi brez filtrov ne gre. \n", "\n", "**Prej bi lahko predelal tudi:**\n", "* O obravnavi vezij vzbujanih z izmeničnimi signali s kompleksnim računom\n", "* O obravnavi resonančnih vezij" ] }, { "cell_type": "markdown", "metadata": { "id": "c7R8e8T7Lpwq", "colab_type": "text" }, "source": [ "
\n", "Namig: Obstajata dve verziji tega dokumenta. Ena je v obliki html datoteke (končnica html), ki je ni mogoče izvajati, druga pa ima končnico ipny (Jupyter Notebook), ki jo lahko izvajamo z Jupyter aplikacijo. To aplikacijo imate lahko naloženo na vašem računalniku in se izvaja v brskalniku, lahko jo ogledujete s spletno aplikacijo nbViewer, s spletnimi aplikacijami Binder ali Google Colab pa jo lahko tudi zaganjate in spreminjate. Več o tem si preberite v \n", "tem članku.\n", "
\n", "Za izvajanje tega zvezka ne potrebujete posebnega znanja programiranja v Pythonu, lahko pa poljubno spreminjate kodo in se sproti učite tudi uporabe programskega jezika. Več podobnih primerov je na Githubu na https://github.com/osnove/Dodatno/\n", "
\n", "\n", "\"Filtri\"" ] }, { "cell_type": "markdown", "metadata": { "id": "pS70NJAJLpwr", "colab_type": "text" }, "source": [ "## NIZKOPREPUSTNI R-C FILTER\n", "\n", "Napetostni harmonični vir priklopimo na zaporedno vezana upor in kondenzator. Zanima nas napetost na izhodu (kondenzatorju) v odvisnosti od napetosti na vhodu pri različnih frekvencah vzbujalnega signala.\n", " \n", "\n", "Kompleksor izhodne napetosti je (delilnik napetosti):\n", "\n", "$${{\\underline{U}}_{C}}=\\underline{U}\\frac{\\frac{1}{\\text{j}\\omega C}}{R+\\frac{1}{\\text{j}\\omega C}}=\\underline{U}\\frac{1}{1+\\text{j}\\omega RC} .$$ \n", " .\t\n", " \n", "Razmerje med amplitudama napetosti na kondenzatorju in vhodne napetosti lahko označimo kot ojačanje ali tudi prenosna funkcija: \n", "\n", "$$A=\\left| \\frac{{{\\underline{U}}_{C}}}{\\underline{U}} \\right|=\\frac{1}{\\sqrt{1+{{\\left( \\omega RC \\right)}^{2}}}} ,$$ \n", "\n", "fazni kot med napetostnima signaloma pa je $\\varphi =\\text{Atan}(-\\omega RC)$.\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "g5yiriNfLpws", "colab_type": "text" }, "source": [ "Izrišimo ojačanje (prenosno funkcijo) za konkretne vrednosti, recimo $R=1\\ \\text{k }\\!\\!\\Omega\\!\\!\\text{ },\\ C=10\\ \\text{ }\\!\\!\\mu\\!\\!\\text{ F}$" ] }, { "cell_type": "code", "metadata": { "id": "EN2AxDjhLpwt", "colab_type": "code", "colab": {}, "outputId": "54a50d50-8a56-46be-cff1-79d285a700dc" }, "source": [ "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline \n", "\n", "R=1e3\n", "C=10e-6\n", "eksponent=np.linspace(0,4,500) # izdelamo 500 točk od 1 do 4, linearno\n", "freq=10**(eksponent) # tvorimo niz frekvenc od 1e1 do 1e4\n", "omega=2*np.pi*freq\n", "\n", "\n", "H=1/(1+1j*omega*R*C)\n", "\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(211)\n", "plt.semilogx(freq, abs(H))\n", "plt.ylabel('Ojačanje')\n", "plt.title('Ojačanje in fazni kot nizkoprepustnega filtra')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid()\n", "\n", "plt.subplot(212)\n", "plt.semilogx(freq,np.angle(H))\n", "plt.ylabel('Fazni kot')\n", "plt.xlabel('Frekvenca / Hz')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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iSCqrYPzk2SzetMfrkkREREQ8p6AoIi1ez8wknrthJLEBHxOmzGbBul1elyQi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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "FanWra-WLpwx", "colab_type": "text" }, "source": [ "Ojačanje in fazni kot na sliki opisuje zmanjšanje napetosti na kondenzatorju pri višjih frekvencah. To je tudi sicer pričakovano, saj se upornost kondenzatorja pri izmeničnih signalih s frekvenco manjša $\\left( \\frac{1}{\\omega C} \\right)$, torej se manjša tudi padec napetosti na njej. Hkrati se spreminja fazni kot izhodnega signala, ki je v konkretnem primeru enak razliki med faznim kotom napetosti na kondenzatorju in faznim kotom vhodnega napetostnega signala. Ta je pri nizkih frekvencah enak nič, saj je tedaj na kondenzatorju praktično vsa vhodna napetost. Pri visokih frekvencah pa bo praktično vsa napetost na uporu, le majhen del pa na kondenzatorju.\n", "Ker je napetost na kondenzatorju pri višjih frekvencah zelo nizka, tako vezje obravnavamo kot primer preprostega nizkofrekvenčnega (prepustnega) RC filtra (sita), ki »ohrani« nizkofrekvenčne signale, visokofrekvenčne pa zmanjša oz. »izloči«. \n", "\n", "Običajno določimo frekvenco, pri kateri se začne napetost bistveno zmanjševati pri vrednosti ${{U}_{C}}=U/\\sqrt{2}=0,707\\cdot U$. To imenujemo tudi mejna frekvenca ${{f}_{0}}$.\n", "\n", "Za konkretno obravnavani primer RC filtra dobimo mejno frekvenco tako, da upoštevamo $\\frac{{U}_{C}}{U}=\\frac{1}{\\sqrt{2}}$:\n", "\n", "$\\frac{1}{\\sqrt{2}}=\\frac{1}{\\sqrt{1+{{\\left( {{\\omega }_{0}}RC \\right)}^{2}}}}\\ \\Rightarrow \\ 2=1+{{\\left( 2\\text{ }\\!\\!\\pi\\!\\!\\text{ }{{f}_{0}}RC \\right)}^{2}}\\ \\Rightarrow \\ {{f}_{0}}=\\frac{1}{2\\text{ }\\!\\!\\pi\\!\\!\\text{ }RC}$\n", "\n", "Izračunajmo mejno frekvenco analitično in numerično. (Nekoliko razlike v izračunu seveda lahko pričakujemo, saj je prenosna funkcija izračunana le v diskretnih točkah). " ] }, { "cell_type": "code", "metadata": { "id": "ohgXKkBSLpwy", "colab_type": "code", "colab": {}, "outputId": "e32f200b-e7b6-4e3f-87cd-892b4ab2d7ca" }, "source": [ "# Analitičen izračun mejne frekvence\n", "freq_0=1/(2*np.pi*R*C)\n", "print('Mejna frekvenca je %4.2f' % freq_0,' Hz')\n", "\n", "# Numeričen izračun mejne frekvence\n", "# poiščemo indeks (mesto v nizu), kjer postane abs(H)<0.707\n", "indeks=np.where(abs(H)<1/np.sqrt(2))\n", "# indeks vsebuje niz z mesti, kjer je izpolnjen pogoj\n", "print(indeks[0][0]) # izpis prvega indeksa\n", "\n", "print('Mejna frekvenca izračunana numerično je %4.2f' % freq[indeks[0][0]],' Hz')" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "Mejna frekvenca je 15.92 Hz\n", "150\n", "Mejna frekvenca izračunana numerično je 15.94 Hz\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "ftUtaEnYLpw1", "colab_type": "text" }, "source": [ "**Zdaj pa ti:** Napiši kodo, ki bo na zgornji sliki dorisala črto (horizontalno in vertikalno) mejne frekvence. (Rešitev je na koncu zvezka)\n", "\n", "Glede na izračun, je za konkretne vrednosti R in C mejna frekvenca okoli 15 Hz. Naredimo preiskus, kako bi tak filter prepuščal signal, sestavljen iz treh frekvenc od katerih je ena manjša od 15 Hz (npr. 10Hz), drugi dve pa večji (npr. 50 Hz in 200 Hz). Slednja signala hočemo izločiti iz osnovnega. Najprej kreirajmo vhodni signal in ga prikažimo na sliki." ] }, { "cell_type": "code", "metadata": { "code_folding": [], "id": "ovVR7LReLpw2", "colab_type": "code", "colab": {}, "outputId": "3b9d7d41-61a0-4568-9b89-2be41d9d8148" }, "source": [ "## Izdelava in prikaz testnega signala\n", "# Nastavitev parametrov\n", "omega1=2*np.pi*10\n", "omega2=2*np.pi*50\n", "omega3=2*np.pi*200\n", "U1=1 # amplituda signala u1(t)\n", "U2=1\n", "U3=1\n", "\n", "# časovni niz\n", "t=np.linspace(0,5/omega1,2000) \n", "\n", "# napetostni signali\n", "u1=U1*np.cos(omega1*t)\n", "u2=U2*np.cos(omega2*t)\n", "u3=U3*np.cos(omega3*t)\n", "u=u1+u2+u3\n", "\n", "plt.figure()\n", "plt.title('Signali u1, u2 in u3')\n", "plt.xlabel('čas / s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t,u1,t,u2,t,u3)\n", "#plt.plot(t,u,label='u(t)')\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo\n", "\n", "plt.figure()\n", "plt.title('signal u1+u2+u3')\n", "plt.xlabel('čas / s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t,u,label='u(t)')\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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V3rbL5rMqparBGypVqtceN4vLz1ETXD980+MMjPsYUljy/qYymcruytf+DaqL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\nTHBaVfCktEQStjUo1fQO1MZtNy7L79k+BxA1rmgV3ld2xVXR+p+/Pc8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fu2sTW3vH+cKb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\nN8hwQXOHt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LGQn40TsTYTVd3KB/w6oP9HgIzSHcGiEjr8MKr92yKWQkJyHAQ0jDQ2BGrbXc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\nDLziDPO9F3hveDloZluL/JMLgL4il51Jac0F6c2mXIVJay5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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "5CVr9uwVLpw6", "colab_type": "text" }, "source": [ "**Ugotovitve:** Čeprav ima vsak posamezen signal amplitudo 1 V, vidimo, da že pri vsoti treh signalov različnih frekvenc težko prepoznamo vsak posamezen signal.\n", "\n", "Da bi upoštevali vpiv filtra, moramo vsak posamezen signal pretvoriti v kompleksor in ugotoviti (izračunati) izhodni kompleksor, tega pretvoriti v časovni signal in nato vse tri signale sešteti v časovnem prostoru. Če bi seštevali kompleksorje bi naredili napako, saj nastopajo pri različnih frekvencah!" ] }, { "cell_type": "code", "metadata": { "id": "2J7y157MLpw7", "colab_type": "code", "colab": {}, "outputId": "d973bbd5-b79b-46aa-ad2a-631952bf59ed" }, "source": [ "# Izračun kompleksorjev napetosti na kodenzatorju za vsako frekvenco posebej\n", "# ker smo imeli signal u=1*cos(omega*t) je kompleksor ya vse enak kar 1 \n", "def H(omega): # funkcija, ki vrne prenosno funkcijo\n", " return 1/(1+1j*omega*R*C)\n", "\n", "UC1=U1*H(omega1); # kompleksor UC1\n", "uc1=abs(UC1)*np.cos(omega1*t+np.angle(UC1))\n", "UC2=U2*H(omega2); \n", "uc2=abs(UC2)*np.cos(omega2*t+np.angle(UC2))\n", "UC3=U3*H(omega3)\n", "uc3=abs(UC3)*np.cos(omega3*t+np.angle(UC3))\n", "print(abs(UC1),abs(UC2),abs(UC3))\n", "\n", "plt.figure()\n", "plt.title('Signali uc1, uc2 in uc3')\n", "plt.xlabel('Čas / s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t,uc1,t,uc2,t,uc3)\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo\n", "\n", "plt.figure()\n", "plt.title('Izhodni signal uc1+uc2+uc3')\n", "plt.xlabel('čas / s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t,uc1+uc2+uc3)\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "0.8467330159648304 0.30331447105335285 0.07932669684365852\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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j99a8/JuIyr79jsASpdQ2pdRflFKD1E23sUQ1yUoxStQHPAgOTWvnGrZ2xs03\nevPNkd558DujaGafmbV3jd7TjN0K931VrW5PDPelq2cz3lh1jOy8BuJizEox9oDpPaPqIqPXi42t\nkYoctdFYt9HY2R9iZEgGPFR71/CbaqwVu1mMcC1RWQzlHRG5CxgHHAZmAweUUguVUrOUUp4V9b1p\nifjRKGFx+4O1e52AB0HZGIHZxkx+nrF7Zdex0Kx17V3H0cWYMR5dWq2Cfva2Nvxjij8Jl3P4z4YG\nsoL88A9GYka/R2r3OgGWMdzYx5gp16gy0T3YWGtTWzi6GAkgx1ZYnQByK1Ll/FBEMkVkhYg8aSnH\n8nfAA7j1TPWh743tQ2syU6k8mrc19ks5/IOxEr+xcmotZF+CvrNq/1r9HjHWBVWz7Hh/bzdmDPDi\ny+0xHD9f9eZdtYqI8bTdYWDtj7GWnYwEkIMLGvcYO7HayIbr/1jtX6vvw5B3BY7/VPvXaqRU2+Eo\nIsdF5N8iUgsR1gbMhSOQGGG4CuqCgAeMwGnMlrq5Xm1w8DtwsRjH2qZtAHj0MIxwNXl5bHdcm9jz\n+k/1vDYlYT+knDZuXHVB31mQHgfRm+rmerXBkUXg2hG8y60NW7N4DQL3LnoXzErQWV7WcmihUYbB\nb2rdXK/bOCP431hdEhnn4cwGw7Via1f711PKKIMT92u1Y08tnR14fVwPDp67zA976zGmELHEqLfV\nc1LVbWuC7sHQxM2YpTRGriRD1Cbwv692gvGlUcp4oIzbbSQCaMqgDYo15OcZ8ZNu44y6W3WBvZPx\nQzmxunFu9BOxxFhhHPBA3V2z93Qj9nR4UbW73tu3PUN83Xkn/CTJmfWwu2FBPhxdbqRWO7nWzTXt\nHMHvXogMh9x6dvddD8d/Miol1FbGZXn0mWmMsSPVH2O3AlUaFKVUmfldecduak6vMzbcCajlYHxp\nAh60xAWW1+11a4KIJcbuijVVNsQamrc14gJHFhlb5lYDpRR/n+JHrsnM30PrYRuBmC2QlVS3N0cw\njHB+rvHg0tg48qOxPsSzDrdrcvE0xljEEr0mpRysmaGUiA5a9oLvVzvqNFAiw6FZG6OsQ13S7nZj\nm9zGtkI36aQRb6rrmyNAnweMVNhzO6vd9TaPZjwVeBsrD51n2+la2N2zMiKWgmNz6DK6bq/bYYCx\nIDDix7q97o2SGmNsidy7HsaY/zRjjMXtqftrN3AqW9j4qlIqE+itlMqwvDIxStevrDMNGwIT/wuz\nw8HWDhF5TgpPAAAgAElEQVTh22PfMmbpGJ7+5WlSclKq7l8JodGhBC8P5pHwRziXUcp/r5RxUz67\nw6pqp7vO72LKyilMWz2NI8lHbkiv4ynHmbFmBpN+msTW+K3V63x0qeEW6HUvAAlXEpi9bjZBy4L4\n6cyNZchczr3Msxuf5Z6l9/BlxJdI6afE7sHg4GJVcD4nP4c3dr7BqCWjeGfPO+Sb8/m/wNvwdm/K\nn386Sq7J+uynfHM+7+9/n1FLRvHqtlfJNmVb/6FMOcYMocdEw9UJfHPsG8YsHcMzvzxDau6NFXJc\nHbWaccvH8Uj4I8RlxJU8qZRxg4zeYtUWwTsTdjL5p8lMWz2NY5eO3ZBex1KOMXPNzOscY8uMfy0x\nzbjMOH6z7jc1MsZSc1N5buNzjF46mq+Pfl12jPUYD3ZNrDLCOfk5vL79dUYtGcW7e9+l4AYy6grM\nBby39z3uXnI3r29/nZz8hldbrLJ1KP8UERfgXRFpbnm5iIi7iLxahzrWPza2RRtCrYxaybv73sXT\n2ZM9F/bw7MZnyTdf36K43Rd288q2V3C2dyYqPYo5P88hy5RVspG/JQmg8AdUAdGXo3nml2fIN+dz\n+eplnvr5KRKzEq9Lr0s5l3jy5ydJzjGe0p/b9BzHU6x0A4kY7gCfkeDiSW5+Lk/+/CQnU0/i6ujK\nn3f8mc1xm69LL7OYeW7Tc+xM2Ek753b858B/WBRZypft0NSoAn18tVEwsBL+uuuvrDi9Ah9XHxac\nWMBHBz7Cyd6Wv0/2JzYlm3nV2Ddl3qF5fH30a7xdvQmLCePPO/5s/Qc7tc7Y4tfytL3s1DLe2/ce\nns6e7L6wm2c3PnvdN6Kd53fy2vbXcHFwISo9iid+fqKsses9DZAqx9iptFM8s/EZzJhJzU3liZ+f\n4GLW9VUZuJh1kd/+/FuScpJQKF7Y9AInUqzbLK1ojHUcAi06km3K5qmfnyoxxqptoCyYxczzm55n\nx/kdtHFuw/v732fJqVJ14hxdoFuQkaJeRT20v+z8C6ujVuPt6s23x7/lo4PXv3XA/w79j2+Of4OP\nqw+ro1Yzd8cN7HpaW4hIpS/gDsDZ8v+HgPeBTlX1a4ivfv36yY2QcTVDhiwcIrPCZkmBuUDCosPE\nL8RPFp1YVG1ZpgKTjFs2ToKXB0uOKUcOXjwo/iH+8v6+98s2nn+nyCfDKpU3e+1sueOHOyQ5O1nO\nZZyT/t/1lz9s/kO19RIReX3b6xLwbYCcSTsjl3Mvy52L75QHQh8Qs9lcdee4vSJvNBc5sEBEROYd\nnCd+IX6y6/wuuZp/VaasnCL3LLlH8vLzqq3XitMrxC/ET5afWi5ms1me/PlJGbhgoKTmpJZsePpn\nQ4fjqyuUtffCXvEL8ZOPD34sIiJv7HhD+nzTR6IvR4uIyO9+OCBdXguTM0mZVep1Lv2cBHwTIK9v\ne11ERD47/Jn4hfjJzoSd1n2wHx4QebeLSEG+XM69LEMXDpXZa2dLgblAQqNCxS/ET5ZELrFOVjHy\nCvJk7NKxMn75eMkx5cj+xP3iF+InH+7/sGzjz0aKfDq8Qllms1keCX9Ehv0wTFJyUiQ2PVb6f9df\nXt76crX1EjHG2O3f3i7Rl6MlNSdVRi4aKbPCZlk3xi4cMf6+e74QkWtjbM+FPZKbnyuTVkySoGVB\ncjX/arX1Wn5qufiF+MnKMyulwFwgT6x7QgZ9P0gu514u2fBkmKFD5NoKZe06v0v8Qvxk3sF5IiIy\nd8dc6f1Nb4m6HFVtvaIuR0nANwHyp+1/EhGRTw99WvS7soqCgmpfszjAPrHiHmtNDOUTIFsp1Qf4\nPRDFrbioEVhyagmZeZm8PPBlbJQNY73H0sejD18f+7ras5QNZzdwLvMcL/R7ASc7JwJaBzDWeyyL\nTi4i/WqpLWf87zdqVSVHlivrcPJh9iTuYY7/HFo1aYWXixcP9niQdWfXcTajekWjE7MSWRO9hhnd\nZnBbi9twdXTlqT5PcST5CL8m/lq1gMLU1x7jyTZl8/3J77nT604Gtx2Mg60DL/Z7kQtZF1gdXb0g\nsFnMfBnxJT3cejC582SUUrzU7yWy87NZcKJU2qtPIDRtZbjeKuCLiC/waOLBbL/ZADx7+7M42joy\n/8h8AP4U3BMnexteXxFR1uVRii+PfomdjR3P9X0OgEd6PUJb57Z8duSzqj9YThqcXm+4bmxsWXlm\nJRl5GfxxwB+xUTYE+QTh5+7HFxFfVHuMrY9dT/yVeF7s9yJOdk709ezL6E6j+eHkD2Tklcrq8p8G\nFw5XOsb2X9zPb/v8FjcnNzo178SM7jMIjwmv9hi7mHWRVVGrmNl9Jj6uPrR0aslTfZ7iQNIB9iZa\nUSsrYolRzqfnZLJN2Xxz/BtGdRzFgDYDcLR15MX+LxKXGUd4THi19AL47sR39HDrwQTfCdgoG14a\n8BJZpiy+P/F9yYa33Q1NWhqJARXwZcSXeDTx4Df+vwHgub7P4WDjwFcR1SsRBIYL1M7Gjhf6vQDA\no36P0rpJaz47bMUYS42BD3oa5ZxqGWsMSr7FQk0C/iciHwMutatWw6PAXMD3J75ncNvB9HQ3skqU\nUsz2m03ClQS2xFVvAeJ3x7+jU/NO3Ol1Z9Gx2f6zyc7PZnVUqZttrylGTKKC4PyC4wtwcXDhvq73\nFR17qOdD2CpbFp2sXnrjwpPGupeHe15bXDe582TcnNxYfHJx5Z0L8g23iSX1dXXUatKvphfdtAHu\naHcH3Vp244eT1VuAuCNhB7EZsczqNYvCknKdW3Ym0CuQZaeWYTIXcz3Y2hmFFSPXllsm41LOJXZd\n2MXkzpNxsjNiFu5N3Jl420TWxa4jLTcNDxdHXg7qzu7oVJYfSKhQr6sFV1kXu47R3qPxaGqU/nC0\ndWRm95nsv7ifU2lVrFc4sdooteJv/O3WRK+hl3svurl1A4wx9rj/4yRcSWDn+eolGnx3/Dt8XH0Y\n6TWy6Nhs/9lcMV0pO8b8plrSYcv/G397/FuaOzRncudrBSsf6fUINtiw9FT1kkbCY8IRhOndphcd\nm9x5Ms0dmrM4sooxZjZDxDLjhu7szqa4TWSZsniwx7UMzOHth+Pr6lvtsR+ZGsnptNPc2+XeojHW\ntWVXRnYYyZJTS0oadDsH43cZGVbuGDuVdordF3bzYI8HcbB1AMDNyY0pXaYQFhNW9qGxElJzU1kT\ntYaJt03EzclYtuBo68jDPR9m38V9RF2uwjV7bDlkXihy29cm1hiUTKXUq8DDQKhlf3n72lWr4bEn\ncQ9J2Unc37VkVsmIDiNo1aQVK6Osz1M4m3GWI5eOcH/X+7FR1/4E3d2608u9V9mgoksbYw+Lo0vL\npCpeybvCxnMbmeA7gab21wpWtmrSikCvQEKjQzFZue9FgbmA0KhQhncYTrtm7YqOO9g6MN53PJvj\nNlceII7ZAlnJRdldq6NX06VlFwJaBxQ1UUpxb5d7OZl6kpOpJ63SC2BV1CpaOrZkTKeSBRqmdplK\nSm4K2+K3lezgd5+xkVRkWBlZa2PWYhYzwb7BJY5P7zYdk9nEqqhVAMwc0JHbO7bgrbATpGXllavX\n1vitXDFdKSNrSucpONg4VH2zjVgCbrdBu75EXY7iROoJxvuOL9FkhNcI3JzcWHHa+rIy0enRHEs5\nVmaM9XLvRQ+3Hqw8U2q8FqXDlh1j6VfT2RS3iUmdJ5UZYyM6jGBV1KqSBr0K1kSvoXer3nRs3rHo\nmJOdE1M6T2HjuY1cyrlUcedzuyAjvmiMhcWE0ca5DX09+xY1UUoxvdt0jqYctT4ug5EgY6fsGONd\ncozd2+VeLuVcYkfCjpId/O8HU3a52wCsiV6DnbLj3i73ljg+tctUTGYTodHWbx2wLnYdeeY8pnef\nXuL4hNsmYKfsqk5COLrcWOXfomPl7WoAawzKdOAqMFtEEoEOwLu1qlUDJDQ6FGd7Z0Z0KFniwc7G\njvG+49kWv83qjK+wmDAUirHeY8ucm9x5MpFpkWV/CP73Q2o0nC9Zov2Xc7+QZ85jnO+4cmWlXU1j\na4J1AcoDSQdIykki2Ce4zLnJnSeTL/msiVpTsYBiqa/xmfEcTj5crqxg32DsbezL3tQqINuUzea4\nzYz2Ho29bclnmWHth9GqSStWnCl1s/UaZGwDUE6gOTQ6lO5u3bmtRck1Mp1bdsbP3Y+wGMMI2dgo\n/jHFn/QcE++sLd/4hUaH4u7kzqA2JTfCauHUgpFeI1kXu65iV1XGeYjZZvxtlSI0OhRbZctYn5Lj\nwt7Gngm+E6o26MUIjwmvcIxN6jyJE6kniEwt5d7ynwaXz5Yp0f7LuV/IN+eX+7ec0mUKqbmpZQ16\nBZxJO0NkWmS543VS50nkSz4bzm6oWEDEErBvCt3HkZabxs6EnQT5BJUwmgDjfMZhp+wIj7XO7VVg\nLiA0JpRh7YfR0qlliXPDOww3DHqZMTbYKPtSanM3s5gJjwlnSLshZWR1c+tGD7ce1cpEC48Jp3OL\nznRt2bXEcfcm7gR6BVZu0JNOGmX366jChzXFIROB7wFXpdR4IFdEaiSGopQaq5SKVEqdUUq9Us55\npZT6yHL+iFKqr7V9a5Lc/Fw2nNvAqI6jilwkxZl420TyJZ91seuqlCUihMeE08+zH57OZQs2B/kE\nYW9jXzbG0GOCUfqllNsrLCaM9s3a07tV7zKyhrYbiruTe+VGoBjhMeE0sWtSxmgCdGnZhV7uvVgT\nXYGsUqmva2PXFn2e0rg6uhLoFUhYTJhVcYHNcZvJLcgt9+ZYaNC3x28nLTft2gkbG/CbAmd+KbF/\n+tmMsxxNOVruzRFgrM9YjqccL0rh7tG2Ob8Z5sOivXHsjS15M0+/ms7W+K0E+QRhW85eL0E+QaTm\nplYcFzi6HBDwvw+zmAmNDmVwu8G0atKqTNOJnY0xtjam6o3XRISw6DAGth1Y5IYrTrBPMHbKruxT\ncvdgsHMqc4MMjwnHy8WryNVbnGHth+Hm5FbxuChFaIzFaJbzt+zSsgudW3SuOPaRn2esju8eDA7O\nhrGW8g1dC6cWDGk3pGg2WhV7L+4lKTuJ4NvKyrK3sSfYN5it8VtLuqpsbIwszKiNkHVtVnUw6SCJ\nWYnlGk0w7hcnUk9U7aoCLly5wMGkg4zzqVhWam4qu87vKl/A0WWGK7NnLe2tUwprVspPA/YA9wPT\ngF+VUvdV3qtqLAskPwaCgJ7ATKVU6REbBHSxvOZgJAhY27fG2BK/hSxTVhm3RiFdWnaha8uuhMZU\nPY2NTIskJj2m3BstGDfb4e2HEx4TXjJVtEkLY9Hb0eVF1WEv5Vxi94XdjPMZV+TzLY6djR1jfcay\nJX5L2SBsKUxmEz+f/ZlAr8ASbo3iBPsGcyL1BNGXo8ueLEx9tcQCQqNDub317SVcZyVk+QSTmpvK\nrxeqDvSHx4TTumnrEm6N4oz3HU++5LM+dn3JE373GdsNnFhVdCg0OhSFqvD7L3R3FBpEgOdHdaF9\niya8viKCvPxrN6dfzv2CyWyqcFwMbz8cZ3vnim+QEUuMopatunAw6SDns86XcXcV0rVlV6vH2LGU\nY5zLPFfhTaiFUwvuaH8HYTFhJW+2Ts2NrQaOLi/agvpSziX2JO4hyCeowjEW5BPElriqx5hZzIRF\nhzG43WDcm5S/d98Y7zFFN+QyRP1iJDEUc3d1btG5KN5UmiCfIC5kXeBw8uFK9QJYE7UGZ3tnAjsE\nlns+2De46DdSAv/7jfIvxapch8eE42TrxF1e5S+EHuszFhtlY5Xbq3AclmeAwTDoro6u5Rt0EcNN\n7j3ccGnWAda4vF4HBojIIyIyCxgIVCPJvkIGAmdEJFpE8oBFGIH/4kwCvrVkru0GWiil2lrZt8bY\nFr+N+H/Fc2Kt4YYymUwEBgayYIGRXZSdnc3RN4+ybc024jLjSE9PJzAwkOXLjZIply5dIjAwkNWr\nVxMWE4akCx898RFr1xqDJS4ujsDAQDZsMKb6/ez7sWfuHj5d8SkAkZGRBAYGsjPfD64kcnTdtwQG\nBvLJ6k8wixnvK94EBgZy6NAhAPbu3UtgYCBHjxpP4umR6QwdPpTISMPFsWXLFgIDA4mONgzDhg0b\nGHjHQJLOJzHOZxxr164lMDCQxETjR7169WoCAwMZ6DIQG2XDW1+8RWBgIOnpxtPa4sWLCbz/SbId\nPMBnBO999h7rX17P6A7Gqu+QkBACAwOLvs/PP/+ct2a/hYuDC6HRocybN4+goGs3+A8//JCJEycC\nxixg+RfLSfokqcit8fbbbzNjxoyi9ov/t5jLX18u+lHNnTuXxx57DNr2AffOvDr378yZMwcRITQ6\nFFkt/O2Pfyvq//zzz/P8888D0Ma5DaYlJt6de82r+/wz/0fHqJ84dfEKX2yP5rHHHmPu3LmERofS\nqXkn3n7+bd58882i9jNmzODtt9/Gyc64qXz8wse8/a+3i85PnDiRD9/6E1w4BL2nERQUxNx359LE\nrgl3ed3FqFGj+Pzzazt2BgYGEhISQrBvMIcvHGbI8CElxl5gYCCLFxvB7PT0dCaNmUTW/izu7nh3\nibEHkJiYSGBgIJ5xnlzMvkjYgbASYy+6xXAC551ly6IPjb/dphDO/OMMnheNG9LRo0cJDAxk715j\n1nXo0CGWvbCM9Jh0fo79ucTYA9i5cyeBgYFERkZyMOkgp/efZsefdpQYe4GBgcTFGQsum5xpQtQ/\no1i8b3GJsXfp0iWIWMLyKEcCn/gHJxJOcDDpIK1PtSYwMJDsbGNtzYIFCwgMDMRkMnFXx7vI3JHJ\nvWOvxTE+//xzRo0aVfR+3rx5jB47mg3nNnBPp3v47OPPisYewHvvvcfUqVPp6dYT7+be/PPtf5YY\ne2/OX85DYdc8B6//+XX++8p/ix7MXn31VebMmVPU/qWXXuKNl95gcNvBhMWE8dxzzxWNPYCnn36a\nl1566Zr8379JwZoCvJp7ARSNvUIee+QxHDc6sumckZxQOPYAuHCIqZ8e5b2DtbQZYDlYY1BsRCSp\n2PsUK/tVRXug+LLdeMsxa9pY0xcApdQcpdQ+pdS+5OTrK6fx16F/pbtbd2wqqWjq7mQ8cVWWqmgW\nM2tj1tK/TX/sbCquwDugzQDsbOzKTmM7DjZ2JjxtPInvPL+Tzi06lwhulsavlR+eTT2rjO+k5KbQ\nzKEZd7S7o8I27k2MWMGBi6W22s3LgpxU6DEJbGw5nHwYpRSjOo0qXxBgo2wY3Wm0EQMqKD/gDcYs\nwCxm2jRtU2EbpRTtm7XnUPIh4jLjip8wZinp8ZCXTcSlCM5lnsPXtfJsF6/mXqRdTeN02rVNt7xb\nOTOmlycf/XKarKv5XMm7wt7EvRW6zgoJ8gki35xPbHpsyRMXDgEKet2LWcycSD3B3R3vrnB2CEZc\nQKEq/VuaxVh02N29O66OFReZ7O3Rm6Z2Tfnl3C8lT3jfYaTkWlJMt8ZvpYldEzo071ChLGd7Z9o1\na1el2ys0OhQHWwdaOrassI2nsyfO9s5sOleqpP7VK3AyzIiNKVU0Gy2e8FGeXt3cupGWm1apazUt\nN40sU1aFs0Mwxth43/EkZCaUXaHeoqNRgTjtLAmZCeQV5FU4Ay5knM84Eq4kVJqAEJsey+Wrl6sc\nr93cupFbkFv2b3l0GWADreuw1llVC1UwAvDrgEctr3DgX9YscqlC7n3AF8XeP4yRlly8zRpgWLH3\nvwD9relb3utGFzZWxaywWTJxxcQKF2cdvHhQ/EL8ZNWZVVXKmrtjrgxcMFCyTdklTyx/UuQfXnLh\ncqz4hfjJZ4c/q1LWxwc/Fv8Qf0m8klju+RxTjgxcMFDm7phbpayVZ1aKX4ifHLh44NrB/d8ai7zi\n9onZbJagZUEyZ/2cKmX9ev5X8Qvxk/Do8ArbPL7ucQlaFlTlgrcLVy6IX4iffHLok5InkiIN3XZ+\nLP/Y/Q/p+21fybiaUams5Oxk6fNNnzILAM9fzpaefw6XR776Vb6O+Fr8QvwkNj22Ull5BXky7Idh\n8octxRaZms0iHwaIhIwXEZENsRvEL8RPtsdvr1SWiMij4Y/K+OXjK/w+ChdshkWHVSnr1a2vypCF\nQ8ouAPzpaZG32klC6hnxC/GT+YfnVynrk0OfiF+In5zPPF/u+bz8PBm6cKj8ccsfq5RV+N2eTT97\n7eChRcbfMXanmM1mmbRikswKm1WlrJ9jf65ykenTG56Wu368S/IL8iuVdS7jnPiF+MkXR74oeSI1\nxtBt67/ltW2vyZDvy/lOS5F5NVP6fddP/r7r7xW2mXdwnviH+MvFrIuVyjKbzTJm6Rh5Yt0T1w4W\nFIj8u4fI99Mq7Wst1NTCRhH5A/AZ0Nvymi8if6wBW5YAeBV738FyzJo21vStc4J9g4lOjyYyrfzF\nYeEx4TjaOpZYe1KhLJ9gsvOzy65v8b8Prqazbv88oGLfamm9BKlw9rQtYRvZ+dlVPlUB3N3xbpxs\nnUr6f48uhZY+0L4vx1OOE5cZZ5Ve/dv0p3XT1hX6kqvy3xenjXMbBrQZYLi0iqe9enSFNv7kH13K\n2ti1jPQaiYtD5cuoWjVpVeSSKC6rrWsTXhzdjc2RyfxwfCV+7n50at6pUln2Nvbc0+keNsdtvlby\n5PwBI2PPEgtYE73GyBRrO6gSSQbjfccTmxFbYSmctbFrcbJ1YmSHkeWeL84433Fk5mWyLaFUhlbv\naZB3hbX7PwYok3VWHoVxpIpiPNsStpGRl1FhvKk4Y33GolBF2XaAEW9y9QKvQZxKO0VUepRVsoa1\nH1ZpHCs1N5UdCTsI9g0uN7GiOF4uXvTx6FP2M7b0Bq9B5EUsYeO5jdzV8a6itScV0cyhGYFegayL\nXVduhpaIEB4bXvQbqYzC2dOvib+SlG1xJsX9amzQ53fD4e5qYU1Q/h0RWS4iL1peK5RS79TAtfcC\nXZRSPkopB2AGsKpUm1XALEu212AgXUQuWNm3zrmn0z3YKTvCosuufSgwF7Audh0jOoygmUOzKmX1\nb9Mfz6aeZd0IllXga+M309O9Z6XurkI6Ne+En7tfhT/28Jhw3J3cGeA5oEpZzvbO134IBSbIvAgx\nWw1DpxThMeHY2dhxV8eqKzPbKBvG+Yxje8J2LueW3fNlXew6zGKuMLhcmsKb7bGUUkUL/e5jZ+ox\nUnNTrboJgeGqSriSwJFLJYtsPjKkE106ZHI+5wyjOlZtgAtl5eTnXKsvFbHUyNjrMZHLuZfZEr+F\nIJ+gSt2ghdzjfQ/2Nvblupfyzfn8fPZnRnqNrNR1VsjgtoNxc3Ira9A73QEubQk/vw3/Vv54uXiV\nL6AYXi5eBHgEsCZqTbmVBVZHrcbNyY0h7YZUKauNcxv6efa7ZtCzLhmZVH5TwcaGlVErsbOxY3Sn\nqiszO9k5cXfHu9lwbkO5rtXwmPAKM8XKY7zveE6nnS4n5fp+tl+J4YrpilUPZmC4vdKuprH7/O4y\n5wqTd6x5MAPDoBemKwOGu8uuCXQLIv1qOs9tfK5a676uF2tiIfeUc8y6b6wSRCQfeAbDnXYC+FFE\njimlnlJKPWVpFgZEA2eAz4H/q6zvjep0o7R0all+9gyw68IuUnJTrB4ghTfbHQk7SqbD2toR3X00\nRyWboA5Vz3QKCfYN5mTqyTKpioWpr6O9R1f5hFZc1uWrl9lxfoeR3SJm8LsPk9lEeEw4d7S7o1L/\nfXHG+YwzMrTOri9zLjQ6lC4tu5RZL1IRozqNwsHGoezN1m8qK1ya4WbjVG5KdHnc3fFuHGwcyjwc\n2NnaENDzNCK2nI7qbJWsvq374tHEw3jiNhcYP/Yuo6FJC0JjQjGZTSVWoFdGc4fmjOgwwrgRlooL\n7Dy/k9TcVIK8rft52tnYMdZ7LFvitpCZl3nthI0tZ7rdw0nJJah91TOdQsb7jicqParMDD01N5XN\ncZuZ4DsBexvr1kQH+QQRkx5jyDq2wsik6j0NU4GJNVFruNPrTlo4tbBK1ljvsWTmZZZZmCgiLD+9\nnJ7uPSvMFCvNGO8xRsp16YeznpNZ3awZLW0cGNh2oFWyhrcfTnOH5uU+6K2JMhZGWmM0AXxcfYyH\nxuhQI0Pv+E/QbSw4NmNN9Bo2xm20Ss6NUln5+t8qpSKAbpY1IIWvGODGaqNbEJEwEekqIreJyFuW\nY5+KyKeW/4uIPG057y8i+yrr2xAY5zOOi9kX2X9xf4njiyMX4+bkRqBXoNWygn2Dy13f8qOzI3Yi\nTMy3fmvdilIVfzrzE1cLrjK1i/ULn+5odwctHFsYsiKWgKc/tO7OlrgtJOUkVUtWd7fu+Lr6ltHr\n2KVjRFyKqJas5g7NCfQKJDwmvIQbIcWxKZubNmVCrgl7Zd13VuiSCI0JLVGdN68gjz3JG2jv0I/F\ne9I4HFf1bpq2NrZF6xgST/4EVy6C//1FN7TipVasIdg3mJTcFPZcKLkfx+LIxcbqdS/r91cP9g0m\nz5xXZjHhoia22IsQfNX6KsdjvMdgZ2NXZt3Tmqg15Eu+1UYTYHSn0djb2BuVBo78aASWPXuxJX4L\naVfTqiWrcG3Pj6dK1t06nnqcU2mnmNJ5itWyWjq1ZGj7oYTHhJd4aLyozGxybsLkrDzsse7BzN7W\nntHeo9l4bmOJMZaTn8OKMyu4s6P1RhNg/G3jOZF6gjPHFhkVK/ymIiIsO72MXu696O7W3WpZ10tl\nM5SFwAQMV9KEYq9+IvJQrWvWSAn0CqSZfTMWHL9WsPBsxlm2xm9lapepVfpWi9PNrRudW3RmxZkV\nRW6E9KvprLz4K/eYFG4nyrrWKqJVk1YMaTuElVEruVpglHU3FZj44eQP9G3dt1o3NHtbe8Z4j2HT\nuY2kXDgA/sbA/e74d7RxbmP1LAAM/2+wbzAHkg6UyKpacGIBTeyaMPG2iZX0Lst43/FFfvFCvj/x\nPQUKpibFGQUQreTBHg8a33exsjqrolaRmpvKH4Y+ikczR15bEUF+QdUL52Z0n4EgLDz8uVFNoOtY\ndkojzEQAACAASURBVJ3fxam0UyVqsFnDiA4jcLF3Ydnpa1UAYtJj2Ba/jXu73Gv1LADAv5U/HV06\nsuTUkhJjbHXiLoJMttUaYy2cWjC8/XDCYsKK3EumAhPfnfiOvq370rmldTO6Qlnjfcez8vQK0s7v\ng97TEBG+Pvo17Zu1Z2i7oVbLsrexZ3q36WxP2F5ihh5yNISmdk0rXIBYEcE+wSRmJZaorbYochEF\nwP2Xzhsbf1nJeN/x5OTnlJhVr4leQ0ZeBjO7z6yWXmO8x2CrbFl1bAE4ukLne9hxfgen006XqJtW\nm1S2H0q6iMSKyEyMAPhdInIWsFFK+dSJdo2QpvZNmdVrFhvjNnIo6RAiwgf7P8DR1pEHelR/f/VZ\nPWdxPOV40Szl08OfkmXK4nGv0RC9Ca4kVSHhGo/6PUpSdlKRsVscudjY/KpY8UZrebDHg+SbTcxr\n6Qp+U9kUt4kDSQf4jd9vrHadFTKt6zSa2Tfjg/0fICIcSzlGaHQo07tNrzKAXpph7YfRvll7Pjzw\nISazicSsRBaeXMioDiPxKVBlVoFXxu2tbyfAI4D5R+aTfjWdLFMWnx35jF7uvbi70zDemNCLY+cz\n+GZX1dV22zdrz5iOo/ghN574bveQb2vHRwc/wrOpZ7WNpqOtIzO6z2D92fVEJEcUjbEmdk14oHv1\nxlhhgdOISxFFi/bmHZpHbkEuj3QKgtjtkG59vsuMbjNIzkkuqs67KHIRiVmJPO7/eLX0AqP45FVz\nHh+3dAW/+9gYt5Ejl47waK9HrYo3FWdat2k0tWvKv/f92xhjl46xLnYdM7vPpLlD82rJGtVpVJkx\ntuD4AoI6jsIL+2qNsb6t+9LHow+fHf6MK3lXyDJl8cmhT+jt0Zv+nv2rpVerJq0Y7XUXP+TGc6HH\nGEy2tnx04CPaOLepNCW6JlHlBdBKNFDqDYxU3W4i0lUp1Q5YIiIVL1hooPTv31/27dtXdcMbJMuU\nxeSVkzGbzQxuN5hVUat4ru9z1/WjKjAX8EDYA5zLOEewbzCLIxdzf9f7mXvbNJg3CIL+BYOetFre\n7zb+jm0J25jWdRpLTi1hYNuBfHL3J1VmUZXHO5/fzgKHfKZ1nca6s+to3bQ1i8cvrtYTciHfHf+O\nf+39F8G+wRy8eJA8cx4rJ6+s9o8djLUrz296nuHth3Mx+yJxmXEsm7AMr7BXjDpVL54wNk2zguMp\nx3kg9AH6ePTBRtmw/+J+vg36loDWAYgIj4XsZW9MKht+P5K2/9/efYdHVWYPHP+eFAKE0EPvvYaE\n0ERhUdAVG1hBXYW1rrqubVfdFV386bq67tpdXUQEBEFFEBsqYAEbECCB0HsJJZQAARLSzu+PO2iE\nhEwyN7mT5HyeZ55MZu69c5K8mTP3ve/7nlrVznisPcsmMCzpPzSp0ZTm9Trx9Y6veXbgs36NojrV\n0ayjDJ89HEXp19hpY/fF31eiDwc5eTlc9+l17EzfyUVtLuLdde8youMIxrS/Fl7uCRc8Cf3v9vt4\nd8+/m+92fcdV7a9i5oaZ9G3cl1cHv1r8NqbKM2/EMiUij2s6XMOcrXNoEtmEaZdMK1Ebm7xqMs8m\nPMulbS5lyd4l5OXlMXPYTL+v9+U3d9tc7v/mfn7T7DfsOraLlPQUZlw2g+afP+YskvrAOgj1L8ak\nfUmMmjOKHtE9EBESUxOZPHQyMdGnL6dUlF0J4xm+8nma1mhKs7od+WbnNzw36DnOb1nQpXD/ichS\nVS06wxU1rhjwzcBieb7HVvgzJjnYbqU9DyW/tQfW6tAPhmr3id318R8e19y8khe42ZW+S6/+6Grt\nNrGb/mn+nzQjO8N54r9nq74xuFjHOpR5SG/54hbtNrGb3vjZjZqWkVayoPYka9bfa+pfZl6h3SZ2\n0+EfDtfth7eX7FjqjKV/ZvEzGjMpRoe8P0ST9yWX+FiqqhOTJ2rPyT31nGnn6MKdC50HV33ozBfY\nOL9Yx/p408faZ0of7T2lt3644cNfPbf9wDHtOOYzvW3ykqIPNPUa/eHFzjpg2gCNnRyrb6x4o1hx\nnGrNgTV64YwLtfvE7vrEj08E1MZ2pu/8uY3d+9W9v8yj+N+gIou7nerwicN68+c3a7eJ3XT0nNGn\nF6fyO6ilmjm2pv551pU/t7GU9JSSHUtVc/Ny9Z+L/qndJ3bXC96/QFfvX13iY6mqTlg5QWMnx+o5\n0875ZQ7Rmk+dNrb+y2Id66ONH2nvKb2195TeOnvj7JIHNeUq/f6lLjpw+kCNmxx3+pyZEsLPeSj+\nJJTFvq/LfF8jLaH4JzcvV49lHXPlWHl5eacfa+HzTuM9sLnYxws4rrl/Vx1bR/XoPj2Wdcy/Snt+\nOJ59PKA3xvwyczI1KzdfZcisDNWnmqvO/EOxj5WVk1VolclXv96gLR/6ROeuKnjiqKqqHt2v+nhd\n1S/GaHZu9i8fCgJU6m3sh1edNpa6ttjHC7hdfPaQ6v/VVz2e5mobO5Z1rMhJjP7KyM7Q7NzsXx7I\nPqH6zxaqH9xa+E6FOFMb80t6qvM/+eVjmp2brZk5mSU/1in8TSj+DBt+T0T+h7OO1q3APJwhvKYI\nIRLi13wAf4jI6cc6uST1GSoTFiaguPJyIeldaDcYIutTPbx6ibrMClItrNppS5GXVERoxK+7RsKr\nOvXm13wEWccL37EA4aHhpy2df9KtA9rQoWEN/v7RKo5nFbLEx6qZkJcDMdcQFhJW4KrVJVH6beyK\nMxZ3O5OA2kX+Ym3VarvaxqqHVy/2db7CVA2r+uvrOWFVoMswWPOJq23ML6tm+oZXjyAsJIyI0IiS\nH6uE/Jkp/29gBvAB0AF4TFVfLu3AjB9qN4cW/WHF+6cVRSpVm7+B9F0Qe32RmwadmBGQdRTWF788\nbGHCQ0N46vLupBzK4IV5GwreaOX7vqGv3Vx73TIR1QhaD3TiL8s2tuUbOJbq1Ggpb7pfDdnHCizu\nVqpWvOsM4W9Yhmt3ncLfj4IrgYXAAt99Eyxirob962DX8rJ7zcR3oGpt6Bjw/Nay1/JsqNn0jLXA\nS6JXq7qM7N2cN7/bwupdpyzjfmCTsxSGr5BWudP9akjbAilLi97WLUnvOkNf2/s3sS+otOwPUU1K\ndFZXYvs3On+fGG8TsD9Lr9yCUw/lCpxFGX8SkeIPJTGlo9uVzhILy1ypeVa0jEOw9hPnTSas7E+p\nAxYS4sS+YS6kF1BzIwAPD+1E7WrhPPLhSvLy8n2aXz7F6TbqMbLwnYNZ50shNML1JFyojDSnW7L7\nVU43ZXkTEuoU3to4t1jD+gOy/G2Q0J/Xh/OKP2cofwHiVHW0qo4C4oGHSjcs47eqtaDrcKe/OetY\n6b/eqlmQkwmxxZ9TEzTibnD6mhOnunrY2tWr8MjFnVm+/RDvLHYqPpKb45zRtb8AahZcbCzoVa0F\nnS5yulSyM0v/9VbOcNpYzxtL/7VKS9wNzjWzxHdK/7Vys53X6fBbqNm49F/vDPxJKAeAfAv9kO57\nzASLuBvgxBFY7V+N9oAkToXoztAkrvRfq7TUbwctz3HO6vKKnuVeHJfHNaV/23o88/laUtMzfZ9S\n9zh/o/IsfjRkHvpV9ctSs2wyNIqBJoXXOgl60R2hxVmwbFLpX3ta/4VzvSkIErA/CWUjTtnfsb5J\njj8B60XkfhG5v3TDM35p2R/qti39bq+9q52JgXHXl89rAfnFj4K0rbB1gauHFRGeGN6NE9l5PPnJ\nGudvEtnA+fRYnrUa6JQoWDqxdF9nVyLsWREUb44Bix/tlCnYurDITQOybDLUaATtApu86AZ/Esom\n4EPgZJqdDWwBonw34zUR5x9w+4+wv5BRRm5IeNPpS+9Rjru7Tup8mTOwYOkk1w/dNroGdwxqy49J\nq9D1Xzjdg4EMBw0GISFOEt72PexbX3qvs2wyhFX1/FqAK7oMc7oLS6GN/exwinMWHHc9hBZvOZrS\nUGQEqvp4WQRiAtTjWvjqCUh4Cy58yv3jn0iHpOnOvITIeu4fv6yFV3V+Z0vGO/U2Iuu7evg7BrWl\n5pIXkKxcTnS/jnI4fOF0sdfDV0863Ti/LYUFvk+kO8OTuwyDav6vshu0wqtBzEhY+hYcPwjV67r/\nGsunOOUjgqRL1Z9RXtEi8qyIfCYiX528lUVwphiiGjr/iMvfdv4x3ZY03Zm/0bv465EFrfhRkJdd\nKl2FVSWXG0Ln8m1uDK+4UuwhCNRoAJ0udq6jFXPSnl8SpznXAvvc5v6xvRI/CnKznP9Lt+VkOb0G\n7YZA3eBYr9efLq+pwFqgNfA4sBWnYqIJNv3udP4hE6e5e1xVWPImNI6FpvHuHttLDTpD69/A4nHO\nP6ebVs+mSkYqa1tdz+vfbmJjaikkeS/0ud0Z1pvkchvLy4NFr0PTXtCseKvsBrWGXaHVAFj0P2c0\nlptWzXJq6/S7w93jBsCfhFJPVd8EslX1W1W9CSi6vqspe816QbPesOg1d0cvbZoP+9ZAn1vL/8X4\nU/W/G9J3O8tWuGnRa1CvHVdeM4rqVcL426zkX89NKa9a9ndG+P34qrttbOM8OLgpqN4cXdP/bqe+\n+6oP3TumKvz0KtTvCG0Hu3fcAPmTUE6m1d0icrGIxAGl0BloXNH3D87Ikg1fFL2tv757wZn5WxEu\nlJ6q3RCI7gQ/vOLe8M5tPzqzlvvcTv2oavx1aCcWbznIuwk73Dm+l0ScN8iDm1xdvoYfX4Goxk63\nbUXT7nyo3wF+fNm9Nrb9R6dYXN/bg+pDnj8J5UkRqQU8APwZGA/cV6pRmZLrMgxqtYAF/3an8e5c\n6gx7POvO8jkzvigicNZdsHelU7DMDQv+BdXrOyNvgBG9m9OvTV2e+mwNe4+UwcTA0tbZ18Z+cGlJ\nvx2LnRoi/e4s/6PhChIS4vxsu5Ngi0vD1L/9F0RGOwNLgog/i0N+ok71xmRVPVdV41W1DGY3mRIJ\nDYeBD0BKAmycH/jxFv7HGfoYPzrwYwWr7tc463t9/c/Ak/DOBNj0lfMpvkok4MxNefqKGLJy8nj0\nw+STZSHKr9Aw6P9H51Py5m8CP943TzsJuPfNgR8rWPUY6ZyBfeNCG9u+yPnw0/9PUMW/laYPHD0R\n2Gv6qdCEIiKPneH2aCAvKiJ1RWSuiGzwfa1TwDbNReRrEVktIqtE5J58z40VkRQRSfTdilcUuqLr\ncZ3zCTLQxrtjMaz7FM66GyIq8JSj8Kow8C9OLfANXwZ2rG+ehmp1TxsN16p+JPed34EvV+9lTrK7\na4h5In401GwG8/8vsDa2M8G5RpcvAVdI4dVg4J+dJBzoB71vi5eAk3Ycov/TXzFv9d7AXtcPZzpD\nOVbADeBmAl/L62Fgvqq2B+b7vj9VDvCAqnYB+gF3iUj+dZmfV9VY362M14kOcmFVnMabklDypTJU\nYd5YZ5b3WXe6Gl5Qivsd1GnlzOUp6cXmTV87k8zO/hNE1Djt6VvOaU23pjV5bPYqDh13eVRZWQuL\ngEEPO9eK1n5asmOowhePOF03FWk4emHiboTaLQJsY185t7Pv8SsBZ+Xk8dAHK6hTvQp92pT+pe9C\nE4qq/ufkDRgHVAN+D0wH2gT4usOAk9NHJwHDC3j93aq6zHc/HVgDNA3wdSuP2OuhQVf4YkzJ5gys\n+diZFf2bByv2J8eTQsPh3DGwZyUsm1j8/XNz4Iu/Qe2W0LfgkUphoSE8c2UMacez+MenawKLNxj0\nuNa52PzlGMjOKP7+yR/Ajp/gvEcLTMAVTlgVOPcR2J0IiVOKv39uNsx52FkCp+/tfu3y+rebWLsn\nnSeHd6Nm1dK/PnXGayi+rqkngRU4s+p7qupDqhromswNVXW37/4eoGERcbQC4oBF+R6+W0RWiMiE\ngrrM8u17m4gkiEjCvn37Agy7HAkNg6HPwOHt8N3zxds38zDMedAp1lORr52cqvtVzpyBeWPhaDHb\nyuJxkLoaLnjyjEuud21Si9sGtuH9pTv5bsP+wOL1WmgYXPwfp1bKwv8Ub9/MwzD3MWcRyLjflU58\nwShmhFOTZ+5jzgoNxbHodaf20W+f8muAzIa96bz81QYu69GEIV3O+BbrmjNdQ3kWZwJjOtBdVceq\napq/BxaReSKSXMDtV+MCffWKC+2EFZEaONUi71XVk5WLXsM5S4oFdgOFtmZVHaeqvVS1V3R0tL/h\nVwytBzgNeOF/nNFa/vpyjFMr5NIXK+aom8KIwMXPOWd0n97n/7WBfetg/uPQ4UKndkgR7hncntb1\nI/nrrBWFlwwuL1oPdJYX+e4FZ2FHf815yGljlzzv1A+pLE62sRPp8On9/rexvath/hPQYahfhe1y\n85QHP1hBjYgw/n5p2VVwPNMZygNAE2AMsEtEjvhu6SJy5Az7AaCqQ1S1WwG32cBeEWkM4Pta4BmP\niITjJJOpqjoz37H3qmququbh1Lfv4+8PXOkM/ZdTh+ODm531hIqy4j1nKZKz74FmFWhWvL+iO8Dg\nx5wuv8Xjit7+xFGYcTOEV4dLX/JrTkDV8FCevqI7Ow5m8NyXpbjQYln57VPOsizv3egUYCtK0nRn\npv3AP1esWfH+atAJzhvjlJtYMr7o7U+kwwe3OANjLvOvjU36YSvLtx9i7GVdqVej7Ib7n+kaSoiq\nVlPVKFWtme8Wpao1A3zdj4BRvvujcFYw/hUREeBNYI2qPnfKc/mryFwOJAcYT8VVrTZcOd6ZqTv9\n+jP3dW/+Bmb/0alTf15AA/nKt7P+6JxtfP5XWPNJ4dvlZDmJOnUVXPGGs56an/q2qcd1fVsw4fst\nJO3w4004mEXWg6sn/tLGznTNbvO3ThtrNcAZWVdZ9b8H2v8WPn8Y1p1hgmhOFrz/e9i3Fq4Y5yTu\nIuw4eJxnv1jHeZ0acFmPsi3q5m9Nebc9DZwvIhuAIb7vEZEmInJyxNbZwA3AeQUMD/6XiKwUkRXA\nudhEyzNr0Q+Gv+YMWZx4CRzZffo2yTNh2rVQry2MnBoUS2F7JiTEScJN4uD90ZAw4fSuiWP74Z1r\nYP3ncNG/of2QYr/Mw0M7ER0VwUMfrCArx91CX2WueR+4/H/OQI63Ly+4vPLKGTD1aqeNjXi7cnWn\nnupkG2sU45zZLXv79DZ2dB9MvcoZOXjJc9Cu6CVWVJW/zlxJaIjw5PBuSBnPopdyP8mqGHr16qUJ\nCQleh+GdNR/DB7dCSBj0Gu1UlMs4BMkznKGIzfvCiCl+fQqqFDLSnO6sTfOds7YeI5xh1CkJTpmA\nrKNOf3jPki8dPnf1Xm6dnMB9Qzpwz5D2LgbvkeSZMPsup43Fj3Y+zGQedsoHb/4GmvWBa6dXjBII\nbshIg/dGOSsFtDwHYq5xSimkLHU+yGQdc65l+lly+70lO3jwgxX84/JuXN+3pWthishSVS2yf9IS\nSmVzYBPM+7tzmp3nuyAc2cCZO9Hndmdoo/lFXq7zj/3dC3Bkp+9BcWrEDxkLDQO/4PmnacuZk7yb\n2XedQ5cmgfYmB4H9G5yRcuvmgOY6j0U1dpYf6Xdn5T77LcjPbex5p9sQAHGqfA553Lnm4ofdhzO4\n4LkFdGlSk2m39iMkxL2zE0soBbCEkk/GIWcRySqRUK9d5RppUxKqTjI+cRjqtoFqhY5UL7a0Y1mc\n//wCGkRF8OFdZ1MlzKueaJdlHoEDG62N+St/G6vTulgFuVSVUW8tIWHrQT6/ZyAt6vm3JIu//E0o\nFaTlmmKrVhua9oTojvaP7g8RqN/OqQfjYjIBqBNZhacu78bq3Ud49euNrh7bU1VrWhsrjvxtrJjV\nHd9dsoMF6/fx16GdXE8mxWEJxZggcEHXRlwR15RXv95Icsphr8Mx5cjOtOM8+eka+ret5+p1k5Kw\nhGJMkPj7pV2pG1mFP7+fxImcXK/DMeVAXp7y4IwVqCrPXBnj6nWTkrCEYkyQqFU9nKev7M7aPem8\nPL8CdX2ZUjN18XZ+2HSARy7uQvO63nV1nWQJxZggcl6nhlwd34zXvt1U/ic8mlK1/cBx/vnZGga0\nr8+1fZp7HQ5gCcWYoDPmki40iIrgz+8nkZltXV/mdHl5yl9mJBEqwjNXxpT5BMbCWEIxJsjUqhbO\n01fGsCH1KM/PqwBrfRnXTfpxK4u2HOTRS7vQpHY1r8P5mSUUY4LQbzpEc22f5oxbsJlFmw94HY4J\nIhv2pvP0nLWc16kBV8c38zqcX7GEYkyQGnNxF1rWrc797yVxOCPb63BMEDiRk8s90xOpEREWVF1d\nJ1lCMSZIRUaE8fyIWPYcyeSx2bagtoHn5q5n9e4jPHNlDNFRZbcsvb8soRgTxOJa1OGewe2ZnbiL\n2YkpRe9gKqwfNx1g3ILNXNe3RZlVYCwuSyjGBLk7B7UlvmUdxnyYzM60M9QaMRXW4YxsHngvkVb1\nIhlzcWevwymUJRRjglxYaAjPXxNLXp7ywHtJ5OZVngVdjePRD5PZm36CF0bEUr1K8K7WbAnFmHKg\nRb3qjL2sK4u2HGTcgs1eh2PK0OzEFD5K2sW9g9vTo3ltr8M5I0soxpQTV8U346LujXhu7jpW7rQF\nJCuD7QeOM2ZWMvEt63DHoLZeh1MkSyjGlBMiwj+Gd6deZAR3T1tGeqYNJa7IsnLyuHvaMhB4YUQs\nYaHB/3Yd/BEaY35WJ7IKL10bx460DP42K5nKVCCvsnn2i7Uk7TzMs1fFBMXCj/6whGJMOdOndV3u\nP78DHyftYvqSHV6HY0rBV2v38sbCLdx4Vksu7NbY63D85klCEZG6IjJXRDb4vhZYAk9EtorIShFJ\nFJGE4u5vTEV1x2/aMqB9fcZ+tIo1u494HY5x0e7DGTzwXhJdGtfkbxcF7xDhgnh1hvIwMF9V2wPz\nfd8X5lxVjT2lnnFx9jemwgkJEZ67Jpaa1cL54zvLOHYix+uQjAtycvO4Z1oiJ3LyeOW6OKqGl6/S\nyV4llGHAJN/9ScDwMt7fmHIvOiqCF0fEsnn/MR61pVkqhBfnb2Dx1oM8dXl32kTX8DqcYvMqoTRU\n1d2++3uAwtYRUGCeiCwVkdtKsD8icpuIJIhIwr59+wIO3Jhg0r9dff50XntmLkvhPbueUq59tXYv\nL3+1kavjmzE8rqnX4ZRIqU25FJF5QKMCnnok/zeqqiJS2FCVc1Q1RUQaAHNFZK2qLijG/qjqOGAc\nQK9evWxIjKlw/jS4PQnbDjJmdjKdG9eke7NaXodkimnbgWPcOz2Rrk1q8sTwbl6HU2KldoaiqkNU\ntVsBt9nAXhFpDOD7mlrIMVJ8X1OBWUAf31N+7W9MZRAaIrw0Mo7oGhH8YcpSDh7L8jokUwwZWbn8\nYcoyRITXfxdf7q6b5OdVl9dHwCjf/VHA7FM3EJFIEYk6eR+4AEj2d39jKpN6NSJ47Xc92Xf0BHdP\nW0ZObp7XIRk/qCp/m7WStXuO8OLI2HIz36QwXiWUp4HzRWQDMMT3PSLSREQ+823TEPhORJKAxcCn\nqvr5mfY3pjKLaVabJ4d34/uNB3j2y3Veh2P88PZP25i1PIX7hnRgUMcGXocTME+WrVTVA8DgAh7f\nBVzku78Z6FGc/Y2p7K7p1ZykHYf437ebiWlam4tjys+kuMomYetB/u/j1Qzu1IA/ntvO63BcYTPl\njalgHru0C3EtavOXGUms3WOTHoPRzrTj3P72UprVqcZzI2IJCQmuUr4lZQnFmAomIiyU166PJ6pq\nGDdPTGBf+gmvQzL5HD2Rwy2TEsjKzWP8qN7UqhbudUiusYRiTAXUqFZVxt/YmwPHTnDb2wlkZud6\nHZIBcvOUe6cnsiH1KP+9viftGpS/yYtnYgnFmAqqe7NaPH9NLMu3H+LBGStsZeIg8K8v1jJvzV4e\nu6QLA9pHex2O6yyhGFOBDe3emL/8tiMfJe3ipfkbvQ6nUns/YQf/+3Yz1/dtwY1ntfQ6nFIRvMWJ\njTGuuHNQWzbtO8rz89bTqn51hsWWz2U9yrMF6/fx15krObtdPcZe1hWRinER/lSWUIyp4ESEf17R\nnZ1pGfz5/STq14jg7Hb1vQ6r0khOOcwdU5bSrkENXvtdPOHloPJiSVXcn8wY87OIsFDeuKEXberX\n4Pa3l5KcYjXpy8KOg8cZ/dYSalevwqSb+lCzasUZ0VUQSyjGVBK1qocz6aY+1KoWzui3lrD9wHGv\nQ6rQDh7LYtSExWTn5jHppt40rFnV65BKnSUUYyqRRrWqMummPuTk5XHDhEU2R6WUHD2Rw00Tl5By\nKIM3R/WiXYMor0MqE5ZQjKlk2jWowYTRvdl7JJNRExZz6LitTuymjKxcbpq4hJUph3n52jh6tarr\ndUhlxhKKMZVQzxZ1GHdDLzamHuXGCYs5kpntdUgVwomcXG57O4ElWw/y/IhYLuhaUEmoissSijGV\n1MAO0bz2u56s2X2EURMWc9Tq0gckOzePu6YuZ+GG/TxzZQyX9WjidUhlzhKKMZXY4M4NefnanqzY\neZjfv7WY41mWVEoiOzePe6YvZ96avfzfsK5c06u51yF5whKKMZXchd0a8eLIWJZuS2P0W0tIt+6v\nYsnMzuWOKUv5bOUexlzcmRvPauV1SJ6xhGKM4ZKYJrw4Mo5l29K4fvwi0qyMsF8ysnK5dXIC89ak\n8sSwrtwyoI3XIXnKEooxBoBLezThfzfEs3ZPOiPG/UjqkUyvQwpqR0/kMOqtxXy/cT//uiqGGyrx\nmclJllCMMT8b3LkhE3/fm5S0DK56/Ueb/FiI1COZjBz3I0u3pfHCyLhKe83kVJZQjDG/0r9tfabc\n0pfDGdlc/t/vWb49zeuQgsrG1HQu/+8PbN53jPE39qqUo7kKYwnFGHOauBZ1+OCO/kRGhDFy3E/M\nWbnb65CCwqLNB7jivz9wIiePd287i3M7NfA6pKDiSUIRkboiMldENvi+1ilgm44ikpjvdkRE7vU9\nN1ZEUvI9d1HZ/xTGVGztGtRg1p396dqkJndMXcbr326q1EW63kvYwQ1vLqZ+VASz7uxP92a12lX3\nNQAAC7FJREFUvA4p6Hh1hvIwMF9V2wPzfd//iqquU9VYVY0F4oHjwKx8mzx/8nlV/axMojamkqlX\nI4J3bu3HJTGNeXrOWu6ZnsixSjYBMisnj0c/TObBGSvo3boOM+/oT/O61b0OKyh5VQ9lGDDId38S\n8A3w0Bm2HwxsUtVtpRuWMeZUVcNDeWlkHF2a1OTfX6xjze4jvH5DPG2jK1Y99IKkpmdy19RlLNma\nxm0D2/DgbzsSVoHrmQTKq99MQ1U92Sm7B2hYxPYjgWmnPHa3iKwQkQkFdZkZY9wTEiLcOagdk2/q\ny4FjWQx75Xs+WbHL67BK1dfrUrnoxYWsTDnMS9fG8beLOlsyKYKUVp+oiMwDCloZ7RFgkqrWzrdt\nmqoWmBREpAqwC+iqqnt9jzUE9gMKPAE0VtWbCtn/NuA2gBYtWsRv22YnOcYEYtehDO6cuozEHYe4\nPK4pjw/rWqEKR2Vm5/LM52t56/utdGwYxUvXxtGxUeVYfr4wIrJUVXsVuZ0XF9lEZB0wSFV3i0hj\n4BtV7VjItsOAu1T1gkKebwV8oqrdinrdXr16aUJCQskDN8YAztpVr3y1kVe+3kijmlX599U9OKtt\nPa/DCtiKnYd4cMYK1u5JZ3T/Vjw8tBNVw0O9Dstz/iYUr87fPgJG+e6PAmafYdtrOaW7y5eETroc\nSHY1OmPMGYWHhnDf+R2Y8YezqBIWwrVv/MSDM5I4WE6XbDmelcMTn6xm+Kvfc/BYFhNG92LsZV0t\nmRSTV2co9YD3gBbANuAaVT0oIk2A8ap6kW+7SGA70EZVD+fb/20gFqfLaytwe75rMoWyMxRj3Hc8\nK4eX5m9k/MLNRFUN4+Ghnbg6vjkhIeJ1aEVSVeYk7+Efn64h5VAG1/VtwUMXdqJWtYrTheeGoO7y\n8oolFGNKz7o96Tz6YTKLtx6kS+OaPHhhR37TIRqR4Ewsy7en8Y9P15CwLY2ODaN4Yng3+rSuPNUV\ni8MSSgEsoRhTulSVj5J28e8v17HjYAb92tTl3iEd6Nu6btAklsQdh3jlq43MW7OX6KgIHji/A1f3\nak5oOTij8oollAJYQjGmbGTl5DF9yXZemr+B/UeziGlWi1sHtGFot0aeDL3NzVMWrN/H+O828/3G\nA9SqFs5NZ7fmlgGtiYzwajpe+WEJpQCWUIwpW5nZuXywbCfjF25hy/5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SDpgBvN/IulOBmhMK7QBGelAmFTjpdmARmYzrqoSMjIxGhmaam/DQENLiW5G3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\niEx1l2kPzBGRFcBC4HNVneZ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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "RuyBXVxfLpw-", "colab_type": "text" }, "source": [ "**Ugotovitve:** Na prvi sliki vidimo, koliko je zadušen vsak posamezen signal. Višja kot je frekvenca, bolj je signal zmanjšan. Še vedno pa iz vhodnega signala ne izluščimo dovolj dobro signala 10 Hz. Ta je tudi zmanjšan glede na osnovnega, saj leži preblizu mejne frekvence.\n", "\n", "**Zdaj pa ti:** \n", "* Spremeni frekvence posameznih signalov npr. na 5, 100, 500 in ugotavljaj, kako v tem primeru deluje filter.\n", "* Dodaj končni sliki še originalen nizkofrekvenčni signal.\n", "* Končni signal vsebuje še vedno precej[nji delež višje frekvenčnih signalov, saj smo izhajali iz treh signalov z enakimi amplitudami. Zmanjšaj amplitudi višje frekvenčnih signalov na 0.1 in še enkrat poglej rezultat. Rezultat je seveda \"boljši\", izhodni signal je bolj \"podoben\" nizkofrekvenčnemu. Je pa bil namen te spremembe tudi dodatna ugotovitev, da je izhodni signal fazno premaknjen glede na vhodnega. Kar je v določenih aplikacijah tudi potrebno upoštevati." ] }, { "cell_type": "markdown", "metadata": { "id": "dnK5hfT7Lpw_", "colab_type": "text" }, "source": [ "Ugotovili smo, da nizkoprepustni RC filter bolj ali manj uspešno prepušča signale s frekvenco nižjo od mejne frekvence, višjefrekvenčne signale pa zmanjša. Učinkovitost filtra je odvisna od tega, kako blizu mejne frekvence so višjefrekvenčni signali in kako velike amplitude imajo. V določenih primerih nam ta filter ne zadošča oziroma ne zaduši dovolj visokofrekvenčnih signalov. V teh primerih je potrebno iskati boljše rešitve - filtre višjega reda. Nekaj malega o tem v nadaljevanju.\n", "\n", "Pred tem si poglejmo še nekoliko drugačno grafično predstavitev filtrov - s t.i. Bodejevim diagramom (plotom). \n" ] }, { "cell_type": "markdown", "metadata": { "id": "5c-MxiAqLpw_", "colab_type": "text" }, "source": [ "## Bodejev diagram\n", "\n", "Pogosto za prikaz »ojačanja« filtra uporabimo logaritemsko merilo in sicer kot \n", "\n", "$${{A}_{\\text{dB}}}=20\\log (A) .$$ \n", "\n", "Pri ojačanju ena je logaritem enak nič, pri mejni frekvenci pa je ojačanje enako $20\\log (1/\\sqrt{2})\\cong -3\\ \\text{dB}$. Razmerje v decibelih (dB) prikazuje spodnji graf, ki ga imenujemo tudi Bodejev diagram (ang. Bode plot). \n", "\n", "V spodnji celici pripravimo izris Bodejevega diagrama za nizkoprepustni RC filter.\n", "\n" ] }, { "cell_type": "code", "metadata": { "id": "2k956vhuLpxA", "colab_type": "code", "colab": {}, "outputId": "88f1c7f6-13cc-4fae-d8d1-b27a38a4d600" }, "source": [ "R=1e3\n", "C=10e-6\n", "eksponent=np.linspace(0,4,500) # izdelamo 500 točk od 1 do 4, linearno\n", "freq=10**(eksponent) # tvorimo niz frekvenc od 1e1 do 1e4\n", "omega=2*np.pi*freq\n", "\n", "H=1/(1+1j*omega*R*C)\n", "\n", "A_dB=20*np.log10(np.abs(H))\n", "\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(211)\n", "plt.semilogx(freq, A_dB)\n", "plt.ylabel('Ojačanje v dB')\n", "plt.title('Ojačanje in fazni kot nizkoprepustnega filtra')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid(True,which=\"both\",ls=\"-\")\n", "\n", "plt.subplot(212)\n", "plt.semilogx(freq,np.angle(H)*180/np.pi)\n", "plt.ylabel('Fazni kot')\n", "plt.xlabel('Frekvenca / Hz')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid(True,which=\"both\",ls=\"-\")\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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O1juOHKs/se749oPHGthT38CRww0cOtrA4aP17D9iNLijzW5vTJSHbjFeusVGYce85KTH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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "kPFlhwLJLpxD", "colab_type": "text" }, "source": [ "Iz Bodejevega diagrama vidimo, da se po mejni frekvenci ojačanje (slablenje) v logaritemskem merilu linearno zmanjšuje s frekvenco. Za frekvence, ki so mnogo večje od mejne, lahko enačbo prenosne funkcije nizkoprepustnega RC filtra aproksimiramo z \n", "\n", "$A=\\left| \\frac{{{\\underline{U}}_{C}}}{\\underline{U}} \\right|=\\frac{1}{\\sqrt{1+{{\\left( \\omega RC \\right)}^{2}}}}\\approx \\frac{1}{\\omega RC}$. \n", "\n", "Če to izrazimo z ojačanjem v decibelih dobimo ${{A}_{\\text{dB}}}=20\\log (\\frac{1}{\\omega RC})=-20\\log (\\omega RC)=-20\\log (\\omega )-20\\log (RC)$. Iz enačbe ugotovimo, da se ojačanje zmanjšuje za 20 decibelov pri vsakem povečanju frekvence za 10x. Rečemo, da je slablenje filtra -20 dB/dekado. Takemu filtru rečemo tudi filter prvega reda. V praksi pogosto uporabimo tudi filtre višjega reda, ki omogočajo bolj učinkovito dušenje. Filter drugega reda ima slablenje -40 dB/dekado itd.\n", " " ] }, { "cell_type": "markdown", "metadata": { "id": "qhm8GUH0LpxD", "colab_type": "text" }, "source": [ "**Zdaj pa ti:**\n", "* Napiši kratko kodo, ki izpiše tabelico vrednosti A in A v dB za vrednosti 1,0.5,0.1,0.01,0.001 (Rešitev je na koncu zvezka)\n", "* Doriši Bodejevem diagramu dve krivulji - premici. Prva gre od min(freq) do mejne frekvence, druga premica pa od mejne frekvence ob krivulji navzdol z 20 dB/dekado. (Rešitev je na koncu zvezka) \n" ] }, { "cell_type": "markdown", "metadata": { "id": "DYpyChRBLpxE", "colab_type": "text" }, "source": [ "## Kaj pa odvisnost od bremena?\n", "\n", "Pri filtrih pogosto govorimo samo o \"signalih\", kjer nas zanima le razmerje med izhodno in vhodno veličino, običajno napetostjo. To je načeloma OK, če je breme, ki ga na izhodu priključimo visokoohmsko (ima veliko upornost), npr. IC ojačevalnik z zelo veliko vhodno upornostjo. Kaj pa če ima breme impedanco primerljivo z impedanco filtra?\n", "\n", "Poglejmo si vpliv velikosti bremena na odziv vezja oz. učinkovitost nizkoprepustnega RC filtra." ] }, { "cell_type": "code", "metadata": { "id": "s1xf0uXWLpxF", "colab_type": "code", "colab": {}, "outputId": "cf75cb01-0a66-410d-a283-2ff54fc7bad3" }, "source": [ "## Bodejev diagram nizkoprepustnega filtra za različna bremena\n", "R=1e3\n", "C=10e-6\n", "U=1\n", "eksponent=np.linspace(0,4,500) # izdelamo 500 točk od 1 do 4, linearno\n", "freq=10**(eksponent) # tvorimo niz frekvenc od 1e1 do 1e4\n", "omega=2*np.pi*freq\n", "\n", "Rb=[500,5e3,5e4,5e9]\n", "def Uc(Rb1):\n", " Z=R+1/(1j*omega*C+1/Rb1)\n", " I=U/Z\n", " return I/(1j*omega*C+1/Rb1)\n", "\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(211)\n", "for i in range(len(Rb)):\n", " plt.semilogx(freq, abs(Uc(Rb[i])))\n", "plt.ylabel('Napetost / V')\n", "plt.title('Napetost in tok')\n", "plt.xlim(min(freq),max(freq))\n", "plt.legend(Rb)\n", "plt.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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+pk+fTrdu3Q4aWTxc+5OdRgJFTkIxQTGM7TKWEa1H8OKvLzJ56WRm/DGD6y+5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\nD05ERKQdabUHwxhjLgcmW2tvbpj/BjDaWnvHIdqeDfwNON1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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "HC6dXD2YLpxI", "colab_type": "text" }, "source": [ "**Ugotovitve:** Vidimo, da lahko upornost bremena precej vpliva na končno napetost na bremenu. Sedaj namreč upor v RC filtru deluje z uporom bremena kot napetostni delilnik, zato se za majhne upornosti bremena v primerjavi z upornostjo R v RC filtru napetost na bremenu precej zmanjša. Ena od rešitev je, da se ohrani enak produkt RC filtra, saj ta določa mejno frekvenco, pri tem, da se zmanjša upornost R tega filtra in poveča kapacitivnost C. \n", "\n", "**Zdaj pa ti:** Poskusi sam! Zmanjšaj R in povečaj C in preveri izrisan graf." ] }, { "cell_type": "markdown", "metadata": { "id": "1Cdi763wLpxI", "colab_type": "text" }, "source": [ "### Zdaj pa ti\n", "\n", "Kaj pa visokoprepustni filter? Zelo enostavno. Samo zamenjaš kondenzator in upor in torej gledaš napetost na uporu. V tem primeru kondenzator ne prepušča nizkofrekvenčnih signalov, visokofrekvenčne pač. Preiskusi sam. Lahko skopiraš celico za nizkoprepustni filter in spremeniš prenosno funkcijo ali pa to narediš kar v isti celici. (Za vsak slučaj je rešitev na koncu zvezka)" ] }, { "cell_type": "markdown", "metadata": { "id": "7CgWovznLpxJ", "colab_type": "text" }, "source": [ "## Kaj pa tuljava?\n", "\n", "Reaktanca tuljave se veča s frekvenco, torej lahko deluje kot filter za nizkofrekvenčne signale, če jo zaporedno vežemo v vezje. Lahko pa jo kombiniramo z RC filtrom in dobimo filter drugega reda.\n", "\n", "Vzemimo, da dodamo nizkoprepustnemu RC filtru tuljavo, ki jo vežemo zaporedno z uporom. Poglejmo si Bodejev diagram v tem primeru." ] }, { "cell_type": "code", "metadata": { "code_folding": [ 0 ], "id": "Cn0zj18yLpxK", "colab_type": "code", "colab": {}, "outputId": "456b2d25-df62-425c-9c78-fa19fadcfb97" }, "source": [ "## l+RC filter\n", "R=5\n", "C=10e-6\n", "L=1e-3\n", "eksponent=np.linspace(2,6,500) # izdelamo 500 točk od 1 do 4, linearno\n", "freq=10**(eksponent) # tvorimo niz frekvenc od 1e1 do 1e4\n", "omega=2*np.pi*freq\n", "\n", "def A(C): # Ta funkcija vrne dve vrednosti A(C)[0 in A(C)[1]\n", " ZC=1/(1j*omega*C)\n", " ZL=1j*omega*L\n", " H=ZC/(R+ZC)\n", " H2=ZC/(ZC+ZL+R)\n", " A_dB=20*np.log10(np.abs(H))\n", " A2_dB=20*np.log10(np.abs(H2))\n", " return [A_dB,A2_dB]\n", "\n", "\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(211)\n", "plt.semilogx(freq, A(1e-5)[0],label='RC, C=10 uF')\n", "plt.semilogx(freq, A(1e-6)[1],label='L+RC, C=1 uF')\n", "plt.semilogx(freq, A(1e-5)[1],label='L+RC, C=10 uF')\n", "plt.semilogx(freq, A(5e-5)[1],label='L+RC, C=50 uF')\n", "plt.ylabel('Ojačanje')\n", "plt.title('Ojačanje in fazni kot nizkoprepustnega filtra')\n", "plt.xlim(min(freq),max(freq))\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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/osHXQ6GItEYSaYskwhpBlC2K2PBYekX1IsIWYWyzRgbXx4TFBIPE6LBo7JY2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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "a3VUm28vLpxM", "colab_type": "text" }, "source": [ "**Ugotovitve:** Za primerjavo z L+RC vezjem smo izrisali tudi diagram za \"navadni\" RC filter. Ugotovimo, da ojačanje (slablenje) L+RC filtra pada hitreje kot navadnega RC filtra, sedaj s 40 dB/dekado. Bolj strma krivulja pomeni tudi učinkovitejšo filtracijo signalov. Vidimo pa, da v določeni kombinaciji RLC vezja pride tudi do povečanja ojačanja, kar je razložljivo, saj gre za RLC oscilatorno vezje v katerem je lahko napetost na posemeznemu elementu (v konkretnem primeru na kondezatorju) preseže vhodno napetost. Ni pa to pri filtrih ravno zaželeno, saj pomeni povečanje amplitude izhodnega signala pri določenih frekvencah. Ti prenihaji (po angleško ripple) so npr. značilni za filtre višjih redov, npr. za filter Chebisheva.\n", "\n", "Red filtra hkrati predstavlja potrebno število kondenzatorjev in tuljav, ki jih potrebujemo za realizacijo filtra. Tak filter lahko realiziramo na več načinov, s kombinacijo uporov, kondenzatorjev (pasivnimi elementi) ali pa tudi z uporabo aktivnih elementov. Prednost uporabe pasivnih elementov je, da tak filter ne potrebuje dodatnega napajanja, je enostavno izvedljiv tudi za večje tokove, je enostaven za realizacijo, lahko dela do zelo visokih frekvenc, itd. Ne omogoča pa ojačitve signala, poleg tega je lahko njihova vhodna impedanca zelo majhna, izhodna zelo visoka, kar ni zaželeno v določenih aplikacijah. Poleg tega za realizacijo zahtevajo uporabo tuljav (dušilk), kar lahko poveča ceno (še posebno, če se zahteva veliko natančnost), potreben prostor je večji, niso dobavljivi v poljubnih vrednosti induktivnosti itd. Te pomanjkljivosti odpravijo aktivni filtri, realizirani z uporabo operacijskih ojačevalnikov. \n" ] }, { "cell_type": "markdown", "metadata": { "id": "Uk-rP0OsLpxN", "colab_type": "text" }, "source": [ "## Butterworthov filter \n", "\n", "Najbolj znani filtri višjih redov slišijo na ime Butterworthov, Chebishev, Besselov, Gaussov itd. Vsak ima svoje prednosti in pomanjkljivosti. Npr. za Butterworthov filter je značilna majhna valovitost signala v prepustnem pasu. \n", "\n", "Slablenje (atenuacija) Butterworthovega filtra podaja prenosna funkcija $A=\\sqrt{\\frac{1}{1+{{\\left( \\frac{f}{{{f}_{o}}} \\right)}^{2n}}}}$ , kjer je ${{f}_{o}}$ mejna frekvenca, n pa red Butterworthovega filtra. Ta red hkrati predstavlja potrebno število kondenzatorjev in tuljav, ki jih potrebujemo za realizacijo filtra. Tak filter lahko realiziramo na več načinov, s kombinacijo uporov, kondenzatorjev (pasivnimi elementi) ali pa tudi z uporabo aktivnih elementov. Prednost uporabe pasivnih elementov je, da tak filter ne potrebuje dodatnega napajanja, je enostavno izvedljiv tudi za večje tokove, je enostaven za realizacijo, lahko dela do zelo visokih frekvenc, itd. Ne omogoča pa ojačitve signala, poleg tega je lahko njihova vhodna impedanca zelo majhna, izhodna zelo visoka, kar ni zaželeno v določenih aplikacijah. Poleg tega za realizacijo zahtevajo uporabo tuljav (dušilk), kar lahko poveča ceno (še posebno, če se zahteva veliko natančnost), potreben prostor je večji, niso dobavljivi v poljubnih vrednosti induktivnosti itd. Te pomanjkljivosti odpravijo aktivni filtri, realizirani z uporabo operacijskih ojačevalnikov. \n", "\n", "Načrtovanje teh filtrov zahteva bolj poglobljeno obravnavo, ki pa v tem zvezku ni predvidena. Lahko pa uporabimo preprosto izdelana orodja, s pomočjo katerih lahko hitro določimo potrebne komponente vezja za realizacijo ustreznega filtra. \n", "\n", "Izdelajmo npr. nizkoprepustni Butterworthov filter četrtega reda z mejno frekvenco 1 MHz za 50 $\\Omega$ bremensko upornost, prilagojeno na enako generatorsko notranjo upornost. Izračun na spletni strani https://rf-tools.com/lc-filter/ nam izračuna vezje na sliki.\n", "\n", " \n", "\n", "Preverimo, kako na ta filter vpliva sprememba bremenske in notranje upornosti vira. Več npr. na strani http://www.ti.com/lit/an/slyt681/slyt681.pdf ali https://www.wikiwand.com/en/Butterworth_filter.\n", "\n", "Prenosno funkcijo najlažje zapišemo kot produkt dveh napetostnih delilnikov. Najprej tvorimo prenosno funkcijo, ki vključuje tuljavo L1 in kondenzator C2\n", "$\\frac{\\underline U_{C2}}{\\underline U}=\\frac{1/(j\\omega C2)}{R+j\\omega L1+1/(j\\omega C2)}$\n", "in nato L3 in C4 \n", "$\\frac{\\underline U_{C4}}{\\underline U_{C2}}=\\frac{1/(j\\omega C4 +RL)}{j\\omega L2+1/(j\\omega C4 +RL)}.$\n", "\n", "Z množenjem obeh prenosnih funkcij dobimo \n", "$H(j\\omega)=\\frac{\\underline U_{C2}}{\\underline U} \\frac{\\underline U_{C4}}{\\underline U_{C2}}=\\frac{\\underline U_{C4}}{\\underline U}$.\n", "\n", "To je narejeno v spodnji celici, kjer je H=H1*H2.\n" ] }, { "cell_type": "code", "metadata": { "id": "W5lO8Wh9LpxN", "colab_type": "code", "colab": {}, "outputId": "506f799a-b263-47b2-8977-42f8edf01ea5" }, "source": [ "## Butterworthov filter za mejno frekvenco 1 MHz in breme 50 ohmov\n", "L1=6.2e-6\n", "C2=5.6e-9\n", "L3=15e-6\n", "C4=2.4e-9\n", "\n", "eksponent=np.linspace(5,7,500) # izdelamo 500 točk od 1 do 4, linearno\n", "freq=10**(eksponent) # tvorimo niz frekvenc od 1e1 do 1e4\n", "omega=2*np.pi*freq\n", "\n", "# prenosna funkcija v odvisnosti od bremenske upornosti\n", "def H(R): \n", " ZL1=1j*omega*L1+R\n", " ZC2=1/(1j*omega*C2)\n", " ZL3=1j*omega*L3\n", " ZC4=1/(1j*omega*C4+1/R)\n", "\n", " H1=ZC2/(ZL1+ZC2)\n", " H2=ZC4/(ZL3+ZC4)\n", " return H1*H2\n", "\n", "# ojačanje v dB\n", "def A_dB(R):\n", " return 20*np.log10(np.abs(H(R)))\n", "\n", "\n", "\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(211)\n", "plt.semilogx(freq, A_dB(1000),label='$R=1k\\,\\Omega$')\n", "plt.semilogx(freq, A_dB(500),label='$R=500\\,\\Omega$')\n", "plt.semilogx(freq, A_dB(50),label='$R=50\\,\\Omega$')\n", "plt.semilogx(freq, A_dB(5),label='$R=5\\,\\Omega$')\n", "plt.ylabel('Ojačanje v dB')\n", "plt.title('Ojačanje in fazni kot nizkoprepustnega filtra')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid(True,which=\"both\",ls=\"-\")\n", "plt.legend()\n", "\n", "plt.subplot(212)\n", "plt.semilogx(freq,np.angle(H(1000))*180/np.pi)\n", "plt.semilogx(freq,np.angle(H(500))*180/np.pi)\n", "plt.semilogx(freq,np.angle(H(50))*180/np.pi)\n", "plt.ylabel('Fazni kot')\n", "plt.xlabel('Frekvenca / Hz')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid(True,which=\"both\",ls=\"-\")\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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YvHgxCxcuPKj8r7vuOpYvX05mZiZr165t2r9q1Soef/xx/vznP7ebz65du7j55pspKChA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\nMXPXTGZ+PZMXVr3AS6tfIi02j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IAZ8rqqQqabiM+u8Tw1XKKlJ0HI6yLicxP0mmtu6pfa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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "OkmouuezLpxQ", "colab_type": "text" }, "source": [ "V spodnji celici združimo spoznanja filtriranja in prikažimo učinkovitost zgornjega Butterworthovega filtra pri filtriranju signala več frekvenc." ] }, { "cell_type": "code", "metadata": { "id": "_MkJ_1S7LpxR", "colab_type": "code", "colab": {}, "outputId": "0288e76d-7339-4468-c215-dc934fe7e5f8" }, "source": [ "## Izdelava in prikaz testnega signala in filtriranja z BW filtrom 4 reda\n", "# Nastavitev parametrov\n", "omega1=2*np.pi*3e6 # \n", "omega2=2*np.pi*1e5 # koristni signal\n", "omega3=2*np.pi*6e6 #\n", "U1=1 # amplituda signala u1(t)\n", "U2=0.7\n", "U3=0.2\n", "\n", "# časovni niz\n", "t=np.linspace(0,10/omega2,2000) \n", "\n", "# napetostni signali\n", "u1=U1*np.cos(omega1*t)\n", "u2=U2*np.cos(omega2*t)\n", "u3=U3*np.cos(omega3*t)\n", "u=u1+u2+u3\n", "# izris posameznih signalov\n", "plt.figure()\n", "plt.title('Signali u1, u2 in u3')\n", "plt.xlabel('Čas / $\\mu$ s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t*1e6,u1,t*1e6,u2,t*1e6,u3)\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo\n", "# izris vsote signalov\n", "plt.figure()\n", "plt.title('signal u1+u2+u3')\n", "plt.xlabel('čas / $\\mu$s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t*1e6,u,label='u(t)')\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo\n", "plt.show()\n", "\n", "# izdelava BW filtra 4 reda\n", "L1=6.2e-6\n", "C2=5.6e-9\n", "L3=15e-6\n", "C4=2.4e-9\n", "R=50\n", "\n", "# prenosna funkcija v odvisnosti od bremenske upornosti\n", "def H(omega): \n", " ZL1=1j*omega*L1+R\n", " ZC2=1/(1j*omega*C2)\n", " ZL3=1j*omega*L3\n", " ZC4=1/(1j*omega*C4+1/R)\n", " H1=ZC2/(ZL1+ZC2)\n", " H2=ZC4/(ZL3+ZC4)\n", " return H1*H2\n", "\n", "# Izdelamo kompleksorje izhodnih signalov in nato časovni signal\n", "UC1=U1*H(omega1); # kompleksor UC1\n", "uc1=abs(UC1)*np.cos(omega1*t+np.angle(UC1))\n", "UC2=U2*H(omega2); \n", "uc2=abs(UC2)*np.cos(omega2*t+np.angle(UC2))\n", "UC3=U3*H(omega3)\n", "uc3=abs(UC3)*np.cos(omega3*t+np.angle(UC3))\n", "print('Slablenje v dB: ',20*np.log10(abs(UC1)/U1),20*np.log10(abs(UC2)/U2),20*np.log10(abs(UC3)/U3))\n", "\n", "# izris filtriranih signalov\n", "plt.figure()\n", "plt.title('Signali uc1, uc2 in uc3')\n", "plt.xlabel('Čas / $\\mu$ s')\n", "plt.ylabel('Napetost / V')\n", "plt.plot(t*1e6,uc1,t*1e6,uc2,t*1e6,uc3)\n", "plt.plot([0, max(t)],[0, 0], linestyle=':',color='k') # dodamo ničlo" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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/hPhUXd2sdgaryUILJRJXLISFYui1uXuttdDmC0egzAFVzW4hlKyvN/wDbP2Z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GLolS4/p1OmdXRFqq89/fdwWqHpiQQYqRpDSRPyq2OSnYJy+dVOW3carkBxCN01BMrIVIauloBj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\nmWvmC2b7d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5CwLkuXIdjGkr/gNWLA6zriojDQ45UUGdE7ROvuRYWQC7lOd7f5XSFHShUG2g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\nWeIv5DFI8zk4fd4EvABMb5Tcd3/0xRHHNGBjRLwaEe8BC4B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2mirexsxwKypac1XyOPwhvPeyDUGPtx4FSVm3LZqmqgUi0h1ARK4SkV+JyIg4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\nDPgmsEFEviYiX4tveJ5teBI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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "hj-ibhW_LpxU", "colab_type": "text" }, "source": [ "**Ugotovitve:** Butterworthov filter zelo učinkovito filtrira signale s frekvenco višjo od mejne frekvence 1 MHz. Amplituda koristnega signala 0.1 MHz je zmanjšana za manj kot 1% (-0.04 dB), amplituda signala 3 MHz za -44 dB in signala 6 MHz -68 dB. Iz primerjave slik tudi vidimo, da je filtriran signal fazno zamaknjen glede na prvotnega. Še bistveno večji fazni zamik bi imel signal s frekvenco bližje mejni, npr. 0.5 MHz. Preiskusi sam!" ] }, { "cell_type": "markdown", "metadata": { "id": "MKwTNkOhLpxV", "colab_type": "text" }, "source": [ "### Zdaj pa ti\n", "\n", "Na spletni strani https://rf-tools.com/lc-filter/ lahko izdelaš še druge tipe filtrov, npr. Besselovega ali Chebisheva. V bistvu z isto konfiguracijo elementov, le drugimi vrednostmi. Izvedi primerjavo prenosnih funkcij teh filtrov. " ] }, { "cell_type": "markdown", "metadata": { "id": "qT6T3RFULpxV", "colab_type": "text" }, "source": [ "## Dodatno - filtriranje digitalnih signalov\n", "\n", "Velja vsaj omeniti, da pogosto filtre uporabljamo za filtriranje signalov v digitalni obliki, torej ne znotraj vezja pač pa že zajete in digitalizirane signale. V tem primeru seveda ni potrebna fizična realizacija filtra v obliki vezja pač pa se filtriranje izvede z računalniško kodo, ki vsebuje določeno obliko filtra. Ta seveda ne potrebuje biti tako preprost kot enostaven RC filter, saj je običajno izveden v obliki prenosne funkcije, ki je sestavljena iz polinomov višjega reda. Med drugim se v digitalni obdelavi uporablja tudi digitalno verzijo Butterworthovega filtra (ali drugih). Python omogoča uporabo digitalnih filtrov v modulu SciPy.\n", "\n", "V spodnji celici je primer uporabe digitalnega pasovnega Butterworthovega filtra 6 reda s spodnji mejno frekvenco 500 Hz in zgornjo mejno frekvenco 1250 Hz. Poleg Bodejevega diagrama filtra je prikazan primer filtriranja zašumljenega signala. Primer je povzet po https://scipy-cookbook.readthedocs.io/items/ButterworthBandpass.html. \n", "(Tudi digitalni Butterworthov filter fazno zamakne filtriran signal, kar pa se da popraviti. Zamislimo si lahko, da časovni signal obrnemo in ponovno filtriramo. Sedaj bo filtriran signal tudi fazno zamaknjen, vendar v primerjavi z originalnim ravno v drugo smer. Ta trik uporabi funkcija $filtfilt$ , ki poskrbi za filtriranje brez faznega zamika fitriranega signala.)" ] }, { "cell_type": "code", "metadata": { "code_folding": [], "id": "_d196Sj5LpxW", "colab_type": "code", "colab": {}, "outputId": "a5343d86-cd25-4db4-a096-0535ec0b9db1" }, "source": [ "## Primer uporabe digitalnega Butterworthovega filtra\n", "from scipy.signal import freqz\n", "from scipy.signal import butter, lfilter\n", "\n", "# Funkcija izračuna parametra a in b prenosne funkcije\n", "def butter_bandpass(lowcut, highcut, fs, order=5):\n", " nyq = 0.5 * fs # Nyquistova frekvenca je polovica semplirne\n", " low = lowcut / nyq # normiranje z Nyquistovo frekvenco\n", " high = highcut / nyq\n", " b, a = butter(order, [low, high], btype='band') # vrže ven parametre filtra\n", " return b, a\n", "\n", "# funkcija izdela filter ter ga aplicira na signalu 'data' in vrne \n", "# filtriran signal v spremenljivki y \n", "def butter_bandpass_filter(data, lowcut, highcut, fs, order=5):\n", " b, a = butter_bandpass(lowcut, highcut, fs, order=order)\n", " y = lfilter(b, a, data)\n", " return y\n", "\n", "fs = 5000.0 # semplirna frekvenca (frekvenca vzorčenja signala)\n", "lowcut = 500.0 # spodnja mejna frkvenca\n", "highcut = 1250.0\n", "order=6 # red filtra\n", "\n", "# Plot the frequency response for a few different orders.\n", "plt.figure(1)\n", "plt.title('Bodejev diagram pasovnega Butterworthovega filtra ')\n", "b, a = butter_bandpass(lowcut, highcut, fs, order=order) # določi parametre BW filtra\n", "w, h = freqz(b, a, worN=2000) # izvede prenosno funkcijo h s parametri BW filtra, w so normirane frekvence\n", "plt.plot((fs * 0.5 / np.pi) * w, abs(h), label=\"order = %d\" % order) # izris prenosne funkcije filtra\n", "plt.plot([0, 0.5 * fs], [np.sqrt(0.5), np.sqrt(0.5)],'--', label='sqrt(0.5)') # mejna frekvenca\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('Gain')\n", "plt.grid(True)\n", "plt.legend(loc='best')\n", "\n", "# Filtriranje zašumljenega signala\n", "T = 0.05 # končni čas sempliranja (vzorčenja)\n", "nsamples = T * fs # število vzorcev\n", "t = np.linspace(0, T, int(nsamples), endpoint=False)\n", "a = 0.02 # amplituda koristnega signala\n", "f0 = 600.0 # frekvenca signala, ki ga iščemo - izfiltriramo\n", "# kreiranje testnega signala kot vsota sinusov različnih frekvenc in amplitud\n", "x = 0.1 * np.sin(2 * np.pi * 1.2 * np.sqrt(t))\n", "x += 0.01 * np.cos(2 * np.pi * 312 * t + 0.1)\n", "x += a * np.cos(2 * np.pi * f0 * t + .11)\n", "x += 0.03 * np.cos(2 * np.pi * 2000 * t)\n", "\n", "plt.figure(2)\n", "plt.title('Zašumljen in filtriran signal')\n", "plt.plot(t, x, label='Noisy signal') # izris signala s šumom\n", "y = butter_bandpass_filter(x, lowcut, highcut, fs, order=6) # filtriran signal\n", "plt.plot(t, y, label='Filtered signal (%g Hz)' % f0)\n", "plt.xlabel('time (seconds)')\n", "#plt.hlines([-a, a], 0, T, linestyles='--') \n", "plt.grid(True)\n", "plt.axis('tight')\n", "plt.legend(loc='upper left')\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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3qj245rFRw9JIDSRZUjBxwZJCnKtvVbum4LHOZxXs9JGJB5YU4piqUt9qD64N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\nWCuSK91mAuKGiMwSkbvcz1eIyG0R/Ut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G8T3p6tMljNZAwggQYODACF0+NMHLxVTV8qvRXSh9vltAV0sW3XbGZ8oLLmFk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\nxZnkWr0mIkdohe0x8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YQmrv2n2p05lf4Rogq+BEygtbPoiDZpzuKjnUVPlXtsV/zl0blg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\nJOxDAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "p5fHsYUOLpxb", "colab_type": "text" }, "source": [ "**Ugotovitve:** Digitalni Butterworthov filter učinkovito zajame signale znotraj pasovnega filtra. To lahko ugotavljamo tako, da spreminjamo testni signal in tudi frekvenco koristnega signala znotraj \"šuma\", ki ga določa parameter $f0$." ] }, { "cell_type": "markdown", "metadata": { "id": "5IKeWu2sLpxc", "colab_type": "text" }, "source": [ "## Rešitve" ] }, { "cell_type": "code", "metadata": { "id": "wyFY7e6DLpxc", "colab_type": "code", "colab": {} }, "source": [ "## Za doris mejne frkvence horizontalno in vertikalno dodaj med plt ukaze\n", "plt.semilogx([freq_0,freq_0],[0,1],'k:')\n", "plt.semilogx([min(freq),max(freq)],[1/np.sqrt(2),1/np.sqrt(2)],'k:')" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "cwoB_RPRLpxf", "colab_type": "code", "colab": {}, "outputId": "41eedb5c-84d7-4de4-c107-4b1d4ed743f9" }, "source": [ "# Za doris premic v Bodejev diagram - dodaj med plt ukaze\n", "plt.semilogx([min(freq),freq_0],[0,0],color='r',linewidth=3)\n", "plt.semilogx([freq_0,max(freq)],[0,min(A_dB)],color='r',linewidth=3)" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": { "tags": [] }, "execution_count": 118 }, { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "yQR8iJ0ELpxh", "colab_type": "code", "colab": {}, "outputId": "9ebbcf57-3014-45ae-e850-00d41fc1fab1" }, "source": [ "# Izračun A_dB iz A\n", "A=[1,0.5,0.1,0.01,0.001]\n", "for x in range(len(A)): # kličem vsako vrednost v nizu A izračunam in sprintam\n", " print(A[x],20*np.log10(A[x]))\n", " \n", "# Drugi način\n", "A_dB=20*np.log10(A)\n", "b=np.transpose([A,A_dB]) # naredim skupni niz in ga transponiram v stolpce\n", "np.set_printoptions(suppress=True) # za izpis brez eksponentov\n", "print(b)\n", "\n", "# Zagotovo obstaja še tretji itd način " ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "1 0.0\n", "0.5 -6.020599913279624\n", "0.1 -20.0\n", "0.01 -40.0\n", "0.001 -60.0\n", "[[ 1. 0. ]\n", " [ 0.5 -6.021]\n", " [ 0.1 -20. ]\n", " [ 0.01 -40. ]\n", " [ 0.001 -60. ]]\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "code_folding": [ 0 ], "id": "22hvjXhGLpxm", "colab_type": "code", "colab": {}, "outputId": "3ec0faff-38d9-4e9a-f036-ef98eb271110" }, "source": [ "## Visokoprepustni RC filter\n", "R=1e3\n", "C=10e-6\n", "eksponent=np.linspace(0,4,500) # izdelamo 500 točk od 1 do 4, linearno\n", "freq=10**(eksponent) # tvorimo niz frekvenc od 1e1 do 1e4\n", "omega=2*np.pi*freq\n", "\n", "ZC=1/(1j*omega*C)\n", "H=R/(R+ZC)\n", "\n", "A_dB=20*np.log10(np.abs(H))\n", "\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(211)\n", "plt.semilogx(freq, A_dB)\n", "plt.ylabel('Ojačanje v dB')\n", "plt.title('Ojačanje in fazni kot nizkoprepustnega filtra')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid(True,which=\"both\",ls=\"-\")\n", "\n", "plt.subplot(212)\n", "plt.semilogx(freq,np.angle(H)*180/np.pi)\n", "plt.ylabel('Fazni kot')\n", "plt.xlabel('Frekvenca / Hz')\n", "plt.xlim(min(freq),max(freq))\n", "plt.grid(True,which=\"both\",ls=\"-\")\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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QApEcAmlq1ZZyffvR2Zq9cpvOH9NPPz99qNrmZYcdFgAAAFookkMgDb3w4Tpd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\nfmmxXbfncJPHC0VNoerHHAqdSNz2SJlDTowZrXOoKTW0JJG27eGsJ9L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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "5vUdP7oDLpxu", "colab_type": "text" }, "source": [ "## Zaključek\n", "\n", "V tem zvezku smo si ogledali nekaj primerov filtrov. Pri tem smo ugotovili, da lastnosti filtra prikažemo s prenosno funkcijo, ki je razmerje med vhodnim in izhodnim kompleksorjem napetosti. Običajno to ojačanje (slabljenje) ponazorimo v decibelih kot $20\\log(A)$ in grafično ponazorimo kot funkcijo frekvence, kar imenujemo Bodejev diagram. Mejno frekvenco filtra določimo tam, kjer ojačanje (izhodna/vhodna napetost) pade za $\\sqrt 2$ oziroma za -3 dB.\n", "\n", "Prikazali smo preprost primer nizkoprepustnega RC filtra, ki ga imenujemo filter prvega reda, ker se ojačanje v prepustnem področju zmanjšuje za -20 dB/dekado. Če takemu filtru dodamo tuljavo, dobimo filter drugega reda, kateremu se ojačanje zmanjšuje -40 dB/dekado. \n", "\n", "\n", "Višji redi filtrov so znani pod imeni Butterworthov, filter Chebischeva, Besselov, Gaussov, eliptični itd. Vsak ima svoje prednosti in pomanjkljivosti. Prikazali smo nizkoprepustni Butterworthov filter 4 reda.\n", "\n", "\n", "V zvezku smo obravnavali le t.i. pasivne filtre, torej take, ki ne vključujejo polprevodniških komponent, predvsem operacijskih ojačevalnikov. Pogosto, še posebno pri manjših močeh (tokovih) uporabljamo ravno slednje.\n", "\n", "Na koncu smo pokazali še možnost uporabe digitalnih filtrov, ki omogočajo filtriranje digitalno zajetih signalov. V ta namen se lahko uporabi tudi Butterworthov filter ali druge, ki temeljijo na uporabi digitalizirane prenosne funkcije.\n", "\n", "**Naslednje branje:** " ] }, { "cell_type": "code", "metadata": { "id": "q4p8RFwoLpxv", "colab_type": "code", "colab": {} }, "source": [ "" ], "execution_count": 0, "outputs": [] } ] }