{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "from IPython.display import Image\n", "from deltasigma import *\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "np.set_printoptions(suppress=True, precision=3)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "order = 8\n", "osr = 32\n", "nlev = 2\n", "f0 = 0.125\n", "Hinf = 1.5\n", "form = 'CRFB'" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Synthesized a 8-order NTF, with roots:\n", "\n", " Zeros:\t\t\t Poles:\n", "(0.735825, 0.677171j)\t(0.574412, -0.755247j)\n", "(0.735825, -0.677171j)\t(0.574412, 0.755247j)\n", "(0.707107, 0.707107j)\t(0.576806, -0.657630j)\n", "(0.707107, -0.707107j)\t(0.576806, 0.657630j)\n", "(0.707107, 0.707107j)\t(0.637688, -0.578575j)\n", "(0.707107, -0.707107j)\t(0.637688, 0.578575j)\n", "(0.677171, 0.735825j)\t(0.751098, -0.551585j)\n", "(0.677171, -0.735825j)\t(0.751098, 0.551585j)\n", "\n" ] } ], "source": [ "ntf = synthesizeNTF(order, osr, 2, Hinf, f0) # Optimized zero placement\n", "print \"Synthesized a %d-order NTF, with roots:\\n\" % order\n", "print \" Zeros:\\t\\t\\t Poles:\"\n", "for z, p in zip(ntf[0], ntf[1]):\n", " print \"(%f, %fj)\\t(%f, %fj)\" % (np.real(z), np.imag(z), np.real(p), np.imag(p))\n", "print \"\"" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { 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QCoUQCoUICgpCWVmZXNn9+/dj2rRpAIDff/8dY8aMAQBkZ2fDy8uLCx4TJkzAoUPyGxSl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\nPSH4z1/3MLSXHQ0ilBbHoLq2WgrbTmbY+oI/tpx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotPZ(ntf, showlist=True)\n", "a, g, b, c = realizeNTF(ntf, form)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(url='http://python-deltasigma.readthedocs.org/en/latest/_images/CRFB.png', retina=True)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ABCD Matrix:\n", "[[ 1. -0.528 0. 0. 0. 0. 0. 0. 0.001 -0.001]\n", " [ 1. 0.472 0. 0. 0. 0. 0. 0. 0.001 0.001]\n", " [ 0. 1. 1. -0.586 0. 0. 0. 0. 0. 0.008]\n", " [ 0. 1. 1. 0.414 0. 0. 0. 0. 0. 0.028]\n", " [ 0. 0. 0. 1. 1. -0.586 0. 0. 0. 0.126]\n", " [ 0. 0. 0. 1. 1. 0.414 0. 0. 0. 0.048]\n", " [ 0. 0. 0. 0. 0. 1. 1. -0.646 0. -0.018]\n", " [ 0. 0. 0. 0. 0. 1. 1. 0.354 0. -0.574]\n", " [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. ]]\n" ] } ], "source": [ "b = np.hstack(( # Use a single feed-in for the input\n", " np.atleast_1d(b[0]),\n", " np.zeros((b.shape[0] - 1, ))\n", " ))\n", "ABCD = stuffABCD(a, g, b, c, form)\n", "print \"ABCD Matrix:\"\n", "print ABCD" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Wb5Axa6JW6XnFPL52NwWlFTx82UAGywQPwkLS84pZ/NlecovKePTKwfTrGOnr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\nu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874Yf/w/v7G5oMVt+D3Aep276e+oZl9jc2H/X6joZn6xib2NTRT39hMAQUUFRZAayul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\nH3b3tkrWDe6+AcDMT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "DocumentNTF(ABCD, osr, f0)\n", "f = gcf()\n", "f.set_size_inches((15, 6))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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J5eU+7+wnu3fzTmGhzzmKovB5SUmT12ntOKcoCqUOB8sLCviqtDToeWtLSngx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\nOkKSQgjCDmPbKwR6UWauVcW6YUljn96+eADKM42Y3PmTLLthQOaJA9F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ZH+VYOXO6roMO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\nGvlulto1W3+7cr2qu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MFh0jHBXX8ymNMwqg0e+MGJE3z/xAlvHugocneN802LNXN7mNIa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\nEZESpGRORERERESkBP1/MfTdNkGYWXIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(15,8))\n", "PlotExampleSpectrum(ntf, M=1, osr=osr, f0=f0)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "snr, amp = simulateSNR(ntf, osr, None, f0, nlev)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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bb+fiiy/m0UcfDdjq0L17d1JTU+nUqRNXXXVVfntDUY7jlHiL7t69e3PrrbfS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\nxczeN7MPzOzaTM8nF8SlLykVqWRx+vTTeX/t+80/mQzT5yK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(15,8))\n", "if nlev == 2 and f0 == 0.:\n", " snr_pred, amp_pred, k0, k1, se = predictSNR(ntf, osr)\n", " plot(amp_pred, snr_pred, '-', label='predicted')\n", " hold(True)\n", "plot(amp, snr,'o-.g', label='simulated')\n", "xlabel('Input Level (dBFS)')\n", "ylabel('SQNR (dB)')\n", "peak_snr, peak_amp = peakSNR(snr, amp)\n", "msg = 'peak SQNR = %4.1fdB \\n@ amp = %4.1fdB ' % (peak_snr, peak_amp)\n", "text(peak_amp-10,peak_snr,msg, horizontalalignment='right', verticalalignment='center');\n", "msg = 'OSR = %d ' % osr\n", "text(-2, 5, msg, horizontalalignment='right');\n", "hold(False)\n", "figureMagic([-100, 0], 10, None, [0, 80], 10, None, [12, 6], 'Time-Domain Simulations')\n", "legend(loc=2);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Doing dynamic range scaling... Done.\n", "Maximum input magnitude: 0.867\n" ] } ], "source": [ " # Dynamic range scaling\n", "print 'Doing dynamic range scaling... ',\n", "ABCD0 = ABCD.copy()\n", "ABCD, umax, S = scaleABCD(ABCD0, nlev, f0)\n", "#a, g, b, c = mapABCD(ABCD,form);\n", "print 'Done.'\n", "print \"Maximum input magnitude: %.3f\" % umax" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Verifying dynamic range scaling... Done.\n", "Maximum DC input level: 0.867\n" ] } ], "source": [ "print 'Verifying dynamic range scaling... ',\n", "u = np.linspace(0, 0.95*umax, 30)\n", "N = 1e4\n", "N0 = 50\n", "test_tone = np.cos(2*np.pi*f0*np.arange(N))\n", "test_tone[:N0] = test_tone[:N0]*(0.5 - 0.5*np.cos(2*np.pi/N0*np.arange(N0)))\n", "maxima = np.zeros((order, u.shape[0]))\n", "for i in np.arange(u.shape[0]):\n", " ui = u[i]\n", " v, xn, xmax, y = simulateDSM(ui*test_tone, ABCD, nlev)\n", " maxima[:, i] = xmax[:, 0]\n", " if (xmax > 1e2).any(): \n", " print 'Warning, umax from scaleABCD was too high.'\n", " umax = ui\n", " u = u[:i]\n", " maxima = maxima[:, :i]\n", " break\n", "print 'Done.'\n", "print \"Maximum DC input level: %.3f\" % umax" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aswdH0N8/bHFXYWyNDZl39StRupLF7fnNqJrWLp5zBo7e1Vs85vR9Ay02wkt1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\n18PDCPxd9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JDI7GA/Jk/uxtKVZ/jPwm5MGgefzwRJ+UqKd0NCmPvmZPqmpFaMebC5Mx99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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = get_cmap('jet')(np.linspace(0, 1.0, order))\n", "hold(True)\n", "for i in range(order):\n", " plot(u, maxima[i,:], 'o-', color=colors[i], label='State %d' % (i+1))\n", "grid(True)\n", "figureMagic([0, umax], None, None, [0, 1] , 0.1, 2, [12, 6], 'State Maxima')\n", "xlabel('DC input')\n", "ylabel('Maxima')\n", "legend(loc='best');" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a, g, b, c = mapABCD(ABCD, form)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "adc = {\n", " 'order':order,\n", " 'osr':osr,\n", " 'nlev':nlev,\n", " 'f0':f0,\n", " 'ntf':ntf,\n", " 'ABCD':ABCD,\n", " 'umax':umax,\n", " 'peak_snr':peak_snr,\n", " 'form':form,\n", " 'coefficients':{\n", " 'a':a,\n", " 'g':g,\n", " 'b':b,\n", " 'c':c\n", " }\n", " }" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Final ADC coefficients:\n", " a\n", " [ 0.086 -0.106 -0.066 -0.134 -0.255 0.101 0.008 0.196]\n", " g\n", " [ 0.723 0.749 0.917 0.847]\n", " b\n", " [ 0.086 0. 0. 0. 0. 0. 0. 0. 0. ]\n", " c\n", " [ 0.731 0.162 0.782 0.305 0.639 0.356 0.763 2.844]\n" ] } ], "source": [ "print \"Final ADC coefficients:\"\n", "print \" %s\\n %s\" % ('a', adc['coefficients']['a'])\n", "print \" %s\\n %s\" % ('g', adc['coefficients']['g'])\n", "print \" %s\\n %s\" % ('b', adc['coefficients']['b'])\n", "print \" %s\\n %s\" % ('c', adc['coefficients']['c'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/json": { "Software versions": [ { "module": "Python", "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]" }, { "module": "IPython", "version": "3.2.1" }, { "module": "OS", "version": "Darwin 14.4.0 x86_64 i386 64bit" }, { "module": "numpy", "version": "1.9.2" }, { "module": "scipy", "version": "0.16.0" }, { "module": "matplotlib", "version": "1.4.3" }, { "module": "deltasigma", "version": "0.2.2" } ] }, "text/html": [ "
SoftwareVersion
Python2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]
IPython3.2.1
OSDarwin 14.4.0 x86_64 i386 64bit
numpy1.9.2
scipy0.16.0
matplotlib1.4.3
deltasigma0.2.2
Fri Aug 07 16:22:48 2015 CEST
" ], "text/latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", "IPython & 3.2.1 \\\\ \\hline\n", "OS & Darwin 14.4.0 x86\\_64 i386 64bit \\\\ \\hline\n", "numpy & 1.9.2 \\\\ \\hline\n", "scipy & 0.16.0 \\\\ \\hline\n", "matplotlib & 1.4.3 \\\\ \\hline\n", "deltasigma & 0.2.2 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Fri Aug 07 16:22:48 2015 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "text/plain": [ "Software versions\n", "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n", "IPython 3.2.1\n", "OS Darwin 14.4.0 x86_64 i386 64bit\n", "numpy 1.9.2\n", "scipy 0.16.0\n", "matplotlib 1.4.3\n", "deltasigma 0.2.2\n", "Fri Aug 07 16:22:48 2015 CEST" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#%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" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }