{ "metadata": { "name": "", "signature": "sha256:7bc0546c6aeb8c01985581340d0ae2f6db2160fe32cf648bda046686c09eed67" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from IPython.core.display import Image\n", "from deltasigma import *\n", "import warnings\n", "warnings.filterwarnings('ignore')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# 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)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "np.set_printoptions(suppress=True, precision=3)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "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", "collapsed": false, "input": [ "Image(url='http://python-deltasigma.readthedocs.org/en/latest/_images/CRFB.png', retina=True)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up the parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 5\n", "osr = 32\n", "nlev = 2\n", "f0 = 0.\n", "Hinf = 1.5\n", "form = 'CRFB'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthesize the NTF" ] }, { "cell_type": "code", "collapsed": false, "input": [ "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 \"\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "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" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graphical inspection of the synthesized singularities" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotPZ(ntf, showlist=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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au3fvrNpGmUqqmqubmxt169YF4OOPPyYxMZHg4GAAHnzwwXylu2+//XY2btwI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\n0owUYZxvvtGlW6ZMgaFDjY5GlBbSxeR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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Realize the NTF with the CRFB topology and create the ABCD representation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "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" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "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" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "DocumentNTF(ABCD, osr, f0)\n", "f = gcf()\n", "f.set_size_inches((15, 6))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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I0wh7DbgA+Mye0ERExMns+pMvGXgf6BGwriLwC+au4n7M4Bx/B7YU2Nc7ZMgQkpOTAUhM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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Typical spectral characteristics" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(15,8))\n", "PlotExampleSpectrum(ntf, M=1, osr=osr, f0=f0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fB48StJEVS9bBv4dw9MvUDu2nM1DfeW15XhQ2NdHQySGj3pMwUHG0uRkpI4Py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UAAAg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eld//YeAtwF5gFzAc4mNWnD3Sz9GjuTXaLhFnZk0qzEMREREREREJXZhJ2zSwLP9zLzAHdAMt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\n3z4REREREZGoMSZpS7T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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signal to Noise Ratio analysis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "snr, amp = simulateSNR(ntf, osr, None, f0, nlev)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "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);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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+8x98fHwYOHAg27dvp1atWlnuKujYVvrPP/9w6623FizYfHL1+yKnlogNb2wg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\nep9QVk4WmXMyWZm6ktWsZmXqSjLnZJKVk0VSwyS2TtrKrF/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"text": [ "" ] } ], "prompt_number": 13 }, { "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", "collapsed": false, "input": [ "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" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Doing dynamic range scaling... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Done.\n", "Maximum input magnitude: 0.583\n" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "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" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Verifying dynamic range scaling... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Done.\n", "Maximum DC input level: 0.583\n" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "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');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4MoTXAv5KcuShMmWS5xxivH9opa+hyYXDW27w6aDvWTU0nk8Hfc/h/+WiMb3wcK2TkWUh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ZAAAg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\nwACgCxALR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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "###Scaled coefficients" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a, g, b, c = mapABCD(ABCD, form)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "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", " }" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Final ADC coefficients" ] }, { "cell_type": "code", "collapsed": false, "input": [ "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" ], "language": "python", "metadata": {}, "outputs": [ { "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
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "[['Coefficients',\n", " 'DAC feedback',\n", " 'Resonator feedback',\n", " 'Feed-in',\n", " 'Interstage'],\n", " ['', 'a(n)', 'g(n)', ' b(n)', ' c(n)'],\n", " ('#1',\n", " 0.09997095054571345,\n", " 0.014662858590777381,\n", " 0.09997095054571345,\n", " 0.13720030320947932),\n", " ('#2', 0.17009081285558167, 0.017974878801464412, 0.0, 0.19054691044280975),\n", " ('#3', 0.21259333422230875, '', 0.0, 0.3839155721077643),\n", " ('#4', 0.3629146184581181, '', 0.0, 0.4400237909528224),\n", " ('#5', 0.3646349929920979, '', 0.0, 1.5301045684776076),\n", " ('#6', '', '', 0.0, '')]" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.8 (default, Jul 26 2014, 17:29:00) [GCC 4.9.1]
IPython2.1.0
OSposix [linux2]
numpy1.8.1
scipy0.13.3
matplotlib1.3.1
deltasigma0.1-5
Mon Aug 11 21:54:09 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.8 (default, Jul 26 2014, 17:29:00) [GCC 4.9.1]\", \"module\": \"Python\"}, {\"version\": \"2.1.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.1\", \"module\": \"numpy\"}, {\"version\": \"0.13.3\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-5\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.8 (default, Jul 26 2014, 17:29:00) [GCC 4.9.1] \\\\ \\hline\n", "IPython & 2.1.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.1 \\\\ \\hline\n", "scipy & 0.13.3 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-5 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Mon Aug 11 21:54:09 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "Software versions\n", "Python 2.7.8 (default, Jul 26 2014, 17:29:00) [GCC 4.9.1]\n", "IPython 2.1.0\n", "OS posix [linux2]\n", "numpy 1.8.1\n", "scipy 0.13.3\n", "matplotlib 1.3.1\n", "deltasigma 0.1-5\n", "Mon Aug 11 21:54:09 2014 CEST" ] } ], "prompt_number": 20 } ], "metadata": {} } ] }