{ "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.core.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": [ "# skip this, this is just to display nice tables.\n", "from itertools import izip_longest\n", "class Table(list):\n", " def _repr_html_(self):\n", " html = [\"\"]\n", " for row in self:\n", " html.append(\"\")\n", " for col in row:\n", " try:\n", " float(col)\n", " html.append(\"\" % col)\n", " except(ValueError):\n", " html.append(\"\" % col)\n", " html.append(\"\")\n", " html.append(\"
%.3f%s
\")\n", " return ''.join(html)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "np.set_printoptions(suppress=True, precision=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Delta Sigma modulator synthesis - example #1\n", "============================================\n", "\n", "Demonstration of the synthesis of an example delta sigma modulator, as done in the `MATLAB Delta Sigma Toolbox`, employing its Python port `deltasigma`.\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **5th-order**, **low-pass** modulator, having the following characteristics:\n", "\n", " * A relatively low Over Sampling Ratio (OSR), equal to `32`, \n", " * A 1-bit quantizer. \n", " * Maximum NTF gain equal to 1.5.\n", "\n", " * For this example modulator, we select to implement the CRFB topology -- see below, for order being odd -- with a single feed-in, ie $b_n = 0\\ \\forall n > 1$ ." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(url='http://python-deltasigma.readthedocs.org/en/latest/_images/CRFB.png', retina=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up the parameters" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "order = 5\n", "osr = 32\n", "nlev = 2\n", "f0 = 0.\n", "Hinf = 1.5\n", "form = 'CRFB'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthesize the NTF" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Synthesized a 5-order NTF, with roots:\n", "\n", " Zeros:\t\t\t Poles:\n", "(0.996045, -0.088847j)\t(0.806557, -0.119823j)\n", "(0.996045, 0.088847j)\t(0.806557, 0.119823j)\n", "(0.998603, -0.052839j)\t(0.898071, -0.219819j)\n", "(0.998603, 0.052839j)\t(0.898071, 0.219819j)\n", "(1.000000, 0.000000j)\t(0.777767, 0.000000j)\n", "\n", "The NTF transfer function has the following expression:\n", "\n", " (z^2 - 1.992z + 0.9999) (z^2 - 1.997z + 1) (z - 1) \n", "-------------------------------------------------------------\n", " (z^2 - 1.613z + 0.665) (z^2 - 1.796z + 0.8549) (z - 0.7778) \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 \"\"\n", "print \"The NTF transfer function has the following expression:\\n\"\n", "print pretty_lti(ntf)\n", "print \"\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graphical inspection of the synthesized singularities" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ObYWdnUre9deJ1KW1FUXRGKqnMz4CXjTG9JtmyYssDmcNUGTOZCsArym0NfUp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\n4QPenAe3tfYc3PyiyuseW/b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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotPZ(ntf, showlist=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Realize the NTF with the CRFB topology and create the ABCD representation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ABCD Matrix:\n", "[[ 1. 0. 0. 0. 0. 0.001 -0.001]\n", " [ 1. 1. -0.003 0. 0. 0. -0.008]\n", " [ 1. 1. 0.997 0. 0. 0. -0.063]\n", " [ 0. 0. 1. 1. -0.008 0. -0.244]\n", " [ 0. 0. 1. 1. 0.992 0. -0.802]\n", " [ 0. 0. 0. 0. 1. 0. 0. ]]\n" ] } ], "source": [ "a, g, b, c = realizeNTF(ntf, form)\n", "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": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4AX/2WEQGhJmdAKyA75oIgHNuXt2ZpuOGWcWNwL7p80/gu0h2wwPA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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": "markdown", "metadata": {}, "source": [ "## Typical spectral characteristics" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DNVzDlizzr8DxyHl0ZlnPxBMCgyLmspDzW+96UMKerZ19Paj7rI5LzZi33e/b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\nU4A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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(15,8))\n", "PlotExampleSpectrum(ntf, M=1, osr=osr, f0=f0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signal to Noise Ratio analysis" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "snr, amp = simulateSNR(ntf, osr, None, f0, nlev)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tec4E4BVCkd1G6JW9tsy5Byo6d8zmr54DJMThHMDbWVxX6Ytw94MXu7DZJu7+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\nS3INtw3wMWBhSMK81mMhCb8Y6DVZodx1xXJTGUVz1d4XY6E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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(15,8))\n", "if nlev == 2:\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, 100], 10, None, [12, 6], 'Time-Domain Simulations')\n", "legend(loc=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamic range scaling\n", "\n", "Keep the integrator outputs within their working range -- to avoid waveform clipping and instabilities.\n", "\n", "The ABCD matrix is scaled opportunely, then the effectiveness of the dynamic range scaling is verified and the state maxima are plotted for different amplitudes." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Doing dynamic range scaling... Done.\n", "Maximum input magnitude: 0.583\n" ] } ], "source": [ "print 'Doing dynamic range scaling... ',\n", "ABCD0 = ABCD.copy()\n", "ABCD, umax, S = scaleABCD(ABCD0, nlev, f0)\n", "print 'Done.'\n", "print \"Maximum input magnitude: %.3f\" % umax" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Verifying dynamic range scaling... Done.\n", "Maximum DC input level: 0.583\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": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TzVEnnEMxIW0YhmEYRq0JF4Yx4zIG3TafmcAyDorkL3ECqnz9OzI1rGhbky9/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\n", "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", "#text(umax/2, 0.05, 'DC input', horizontalalignment='center', verticalalignment='center')\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": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "###Scaled coefficients" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a, g, b, c = mapABCD(ABCD, form)" ] }, { "cell_type": "code", "execution_count": 18, "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": "markdown", "metadata": {}, "source": [ "### Final ADC coefficients" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
CoefficientsDAC feedbackResonator feedbackFeed-inInterstage
a(n)g(n) b(n) c(n)
#10.1000.0150.1000.137
#20.1700.0180.0000.191
#30.2130.0000.384
#40.3630.0000.440
#50.3650.0001.530
#60.000
" ], "text/plain": [ "[['Coefficients',\n", " 'DAC feedback',\n", " 'Resonator feedback',\n", " 'Feed-in',\n", " 'Interstage'],\n", " ['', 'a(n)', 'g(n)', ' b(n)', ' c(n)'],\n", " ('#1',\n", " 0.0999709505457732,\n", " 0.014662858590682186,\n", " 0.0999709505457732,\n", " 0.13720030320940452),\n", " ('#2', 0.1700908128555918, 0.01797487880053184, 0.0, 0.19054691044404687),\n", " ('#3', 0.21259333422368693, '', 0.0, 0.38391557210535393),\n", " ('#4', 0.36291461845822437, '', 0.0, 0.4400237909756517),\n", " ('#5', 0.36463499301110897, '', 0.0, 1.5301045683978285),\n", " ('#6', '', '', 0.0, '')]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t = Table()\n", "ilabels = ['#1', '#2', '#3', '#4', '#5', '#6']\n", "t.append(['Coefficients', 'DAC feedback', 'Resonator feedback', \n", " 'Feed-in', 'Interstage'])\n", "t.append(['', 'a(n)', 'g(n)', ' b(n)', ' c(n)'])\n", "[t.append(x) for x in izip_longest(ilabels, \n", " adc['coefficients']['a'].tolist(), \n", " adc['coefficients']['g'].tolist(), \n", " adc['coefficients']['b'].tolist(), \n", " adc['coefficients']['c'].tolist(), fillvalue=\"\")]\n", "t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "execution_count": 20, "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": "3.1.0" }, { "module": "OS", "version": "Darwin 14.3.0 x86_64 i386 64bit" }, { "module": "numpy", "version": "1.9.2" }, { "module": "scipy", "version": "0.15.1" }, { "module": "matplotlib", "version": "1.4.3" }, { "module": "deltasigma", "version": "0.2.0" } ] }, "text/html": [ "
SoftwareVersion
Python2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]
IPython3.1.0
OSDarwin 14.3.0 x86_64 i386 64bit
numpy1.9.2
scipy0.15.1
matplotlib1.4.3
deltasigma0.2.0
Tue Jun 09 19:24:32 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 & 3.1.0 \\\\ \\hline\n", "OS & Darwin 14.3.0 x86\\_64 i386 64bit \\\\ \\hline\n", "numpy & 1.9.2 \\\\ \\hline\n", "scipy & 0.15.1 \\\\ \\hline\n", "matplotlib & 1.4.3 \\\\ \\hline\n", "deltasigma & 0.2.0 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Jun 09 19:24:32 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 3.1.0\n", "OS Darwin 14.3.0 x86_64 i386 64bit\n", "numpy 1.9.2\n", "scipy 0.15.1\n", "matplotlib 1.4.3\n", "deltasigma 0.2.0\n", "Tue Jun 09 19:24:32 2015 CEST" ] }, "execution_count": 20, "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 }