{ "metadata": { "name": "", "signature": "sha256:65b0d552e519422eb693bc7f4e062999548fe5e174b589f2340167b05287ced6" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from deltasigma import *\n", "import warnings\n", "from scipy.signal import ss2zpk\n", "warnings.filterwarnings('ignore')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example continuous-time lowpass modulator - dsexample #3\n", "========================================================\n", "\n", "Demonstration of a low-pass, 3rd-order continuous-time delta sigma modulator, in a very similar fashion as as done in the **MATLAB Delta Sigma Toolbox**, albeit employing the Python port of the MATLAB package, **`deltasigma`**.\n", "\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **3th-order**, **low-pass** modulator.\n", " * Time domain simulations are then performed to **extract the SNR**.\n", " * The continuous-time NTF is realized and mapped to an **equivalent discrete-time structure**.\n", " * The SNQR is again assessed.\n", " * The modulator coefficients are then **scaled** and the final results are presented." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##General modulator parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 3\n", "osr = 32\n", "nlev = 2\n", "f0 = 0.\n", "Hinf = 1.5\n", "tdac = [0, 1]\n", "form = 'FB'\n", "M = nlev - 1\n", "#generic options\n", "plotsize = (15, 8) #inches" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthesis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print '\\t\\t\\t %dth-Order Continuous-Time Lowpass Example\\n' % order\n", "print 'Doing NTF synthesis...',\n", "ntf0 = synthesizeNTF(order, osr, 2, Hinf, f0) # 2: Optimized zero placement\n", "print 'done.'\n", "print \"\\nSynthesized a %d-order NTF, with roots:\\n\" % order\n", "print \" Zeros:\\t\\t\\t Poles:\"\n", "for z, p in zip(ntf0[0], ntf0[1]):\n", " print \"(%f, %fj)\\t(%f, %fj)\" % (np.real(z), np.imag(z), np.real(p), np.imag(p))\n", "print \"\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\t\t\t 3th-Order Continuous-Time Lowpass Example\n", "\n", "Doing NTF synthesis... done.\n", "\n", "Synthesized a 3-order NTF, with roots:\n", "\n", " Zeros:\t\t\t Poles:\n", "(0.997110, -0.075973j)\t(0.764515, -0.280052j)\n", "(0.997110, 0.075973j)\t(0.764515, 0.280052j)\n", "(1.000000, 0.000000j)\t(0.668460, 0.000000j)\n", "\n" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "plotPZ(ntf0, showlist=True)\n", "changeFig(10, 1.5, 7)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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uyjp5sl0bu0YNuGyxAkkneu+JuIuK6wD3228QEgLffQcjRthJi/nyOR2ViLhF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\nllKVbHHduXO8ffXVbOPQsrH3LF3mLm3mLx2TJv2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929FIvHrvPTjmGJ2JEJHQs6JD7GY+1ObN0L07DB0K110X+fJtz6W0uf6RrvtZ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\nIxcCbYBb0tbJWkPcty+8+25gbRURaRHVEDukXTu44QYbou3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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Time-domain NTF simulation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Doing time-domain simulations...'\n", "figure(figsize=plotsize)\n", "PlotExampleSpectrum(ntf0, M, osr, f0)\n", "title('Example Spectrum');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Doing time-domain simulations...\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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MmDABn89HKBQiPz+frVu3ct5559kE2o9//GPef/9927Gt3z/99NOMGDGCH//4x5HsjJ3h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Q3es8ppSGM33HoYgItLS3nMVeSvqWEeq4qK7DYA3DmznutraljT1ET1zYvo2OZ4Vmt/tYfTZTno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5b33VaZKBYtfFi9w0MCBj5AmCIAiCIFxB2JF4nvrM9PE4/24f5BFSxUfeZc9/F/AVYDewl1zB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\nxWdGsZlPbbNokyRJkqTAnNMmSZI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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Signal to Noise Ratio" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we have a two level quantizer, we run the prediction routine `predictSNR`, which employs the describing function method of Ardalan and Paulos.\n", "\n", "Otherwise, we skip the prediction step and we move directly to time simulation of the NTF, to evaluate the SNR." ] }, { "cell_type": "code", "collapsed": false, "input": [ "if nlev == 2:\n", " snr_pred, amp_pred, k0, k1, se = predictSNR(ntf0, osr)\n", "snr, amp = simulateSNR(ntf0, osr, None, f0, nlev)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "if nlev == 2:\n", " plot(amp_pred, snr_pred, '-', label='Predicted')\n", " hold(True)\n", "plot(amp, snr,'o-.g', label='simulated')\n", "#figureMagic(np.array([- 100,0]).reshape(1,-1),10,2,np.array([0,100]).reshape(1,-1),10,2,np.array([7,3]).reshape(1,-1),'Discrete-Time Simulation')\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([-80, 0], 10, None, [0, 80], 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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1N4I8YMAAOnbsmLzcsWNHLly4QN26dRk/fjwAI0eO5K233qJp06a0atWKSpXM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\neBQ4E/gA6BEb/xowARhbzzn2IDdD4YRCFuQv2G/8mFXHsOi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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Realize the NTF and map it to an equivalent discrete-time structure\n", "\n", "Performed in two steps:\n", "\n", " * We call `realizeNTF_ct` to realize an NTF with a continuous-time loop filter, obtaining ABCD matrix and DAC timings. \n", "\n", " * We map the synthesized NTF to a discrete-time equivalent. The criterion for equivalence is set in `mapCtoD`: the sampled pulse response of the CT system must be identical to the impulse response of the DT system." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Mapping to continuous-time... ',\n", "ABCDc, tdac2 = realizeNTF_ct(ntf0, form, tdac)\n", "Ac, Bc, Cc, Dc = partitionABCD(ABCDc)\n", "sys_c = []\n", "for i in range(Bc.shape[1]):\n", " sys_c.append(ss2zpk(Ac, Bc, Cc, Dc, input=i))\n", "print 'done.'\n", "print 'ABCD matrix:'\n", "print ABCDc\n", "print \"DAC timing (tdac2):\"\n", "print tdac2" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Mapping to continuous-time... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "done.\n", "ABCD matrix:\n", "[[ 0. 0. 0. 0.04440879 -0.04440879]\n", " [ 1. 0. -0.00578297 0. -0.23997611]\n", " [ 0. 1. 0. 0. -0.67004646]\n", " [ 0. 0. 1. 0. 0. ]]\n", "DAC timing (tdac2):\n", "[[-1. -1.]\n", " [ 0. 1.]]\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "n_imp = 10\n", "y = -impL1(ntf0, n_imp)\n", "lollipop(np.arange(n_imp + 1), y)\n", "hold(True)\n", "grid(True)\n", "dt = 1./16\n", "tppulse = np.vstack((np.zeros((1, 2)), tdac2[1:, :])).tolist()\n", "yy = -pulse(sys_c, tppulse, dt, n_imp).squeeze()\n", "t = np.linspace(0, n_imp + dt, 10/dt + 1)\n", "plot(t, yy, 'g', label='continuous-time')\n", "legend()\n", "title('Loop filter pulse/impulse responses (negated)');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6S64/6f4su7PHuMAJliMCAABEoBxvjib+OFH13qqn+pXqa1nnZacswAC4gyIM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\n1Iz0GdL0fOmTcWrcoLGk6u0bix8B1wHgKwHXAeA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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "sys_d, Gp = mapCtoD(ABCDc, tdac2)\n", "ABCD = np.vstack((\n", " np.hstack((sys_d[0], sys_d[1])),\n", " np.hstack((sys_d[2], sys_d[3]))\n", " ))\n", "ntf, G = calculateTF(ABCD)\n", "ntf = cancelPZ(ntf)\n", "figure(figsize=plotsize)\n", "DocumentNTF(ntf0, osr, f0)\n", "subplot(121)\n", "plotPZ(ntf, 'c', 10)\n", "hold(True)\n", "plotPZ(ntf0, 'k')\n", "hold(False)\n", "\n", "L0 = sys_c[0]\n", "f = linspace(0, 0.5)\n", "G = evalTFP(L0, ntf, f)\n", "subplot(122)\n", "hold(True)\n", "plot(f, dbv(G), 'm')\n", "hold(False)\n", "title('NTF and STF');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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EaUgbLISwSZJDLEpl36YdRHz2AUEHtpHsUo69nfvS4+PP8GsZoHVodudSbBx/fzyJWpuX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\njVtxMUvuml7vdVmTOWq3Z3qu355q/+619+h++hQjv/7BLOuzp9rtUeW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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Re-evaluating the SNR... ',\n", "snrR, ampR = simulateSNR(ABCD, osr, None, f0, nlev)\n", "print 'done'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Re-evaluating the SNR... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "done\n" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "plot(ampR, snrR, 'o-')\n", "hold(True)\n", "plot(amp, snr, '-')\n", "peak_snrR, peak_ampR = peakSNR(snrR, ampR)\n", "msg = 'Peak SNR %.1fdB at amp = %-.1fdB' % (peak_snrR, peak_ampR)\n", "text(peak_ampR - 10, peak_snrR, msg, horizontalalignment='right', verticalalignment='center');\n", "figureMagic([-100, 0], 10, 1, [0, 100], 10, 1, None,'SQNR vs. Input Amplitude')\n", "xlabel('Input Amplitude (dBFS)')\n", "ylabel('SNR (dB)')\n", "title('Continuous-Time Implementation');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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apTzNUZZmKU+zCpo26a7irTLwAXAZ9ojbROAnYAZwAbAZ6AfkV6WpeBMRERERkfNWWRdv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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamic range scaling" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Doing dynamic range scaling... ',\n", "ABCDs, umax, S = scaleABCD(ABCD, nlev, f0, 1, None, None, 10000.0)\n", "S = S[:order, :order]\n", "Sinv = inv(S)\n", "Acs = np.dot(np.dot(S, Ac), Sinv)\n", "Bcs = np.dot(S, Bc)\n", "Ccs = np.dot(Cc, Sinv)\n", "ABCDcs = np.vstack((np.hstack((Acs, Bcs)),\n", " np.hstack((Ccs, Dc))\n", " ))\n", "sys_cs = (Acs, Bcs, Ccs, Dc)\n", "print 'Done.'\n", "print \"During scaling, umax was found to be %g\"% umax\n", "print \"Scaled ABCD matrix:\"\n", "print ABCDcs" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Doing dynamic range scaling... Done.\n", "During scaling, umax was found to be 0.78\n", "Scaled ABCD matrix:\n", "[[ 0. 0. 0. 0.16352917 -0.16352917]\n", " [ 0.29968154 0. -0.01756686 0. -0.26482215]\n", " [ 0. 0.32919785 0. 0. -0.24341548]\n", " [ 0. 0. 2.75268628 0. 0. ]]\n" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Conclusions: synthesis results\n", "\n", "The ADC parameters were found to be:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "adc = {\n", " 'order':order,\n", " 'osr':osr,\n", " 'M':M,\n", " 'f0':f0,\n", " 'ntf':ntf,\n", " 'ABCD':ABCD,\n", " 'umax':umax,\n", " 'peak_snr':peak_snr,\n", " 'form':form,\n", " 'ABCDc':ABCDc,\n", " 'tdac':tdac,\n", " 'tdac2':tdac2,\n", " 'L0':L0,\n", " 'sys_c':sys_c,\n", " 'ABCDcs':ABCDcs,\n", " 'sys_cs':sys_cs\n", "}\n", "for k in sort(adc.keys()):\n", " print \"%s:\" % k,\n", " if str(adc[k]).count('\\n'):\n", " print \"\"\n", " print adc[k]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "ABCD: \n", "[[ 1. 0. 0. 0.04440879 -0.04440879]\n", " [ 0.99903645 0.99710991 -0.0057774 0.0221937 -0.26000208]\n", " [ 0.49975909 0.99903645 0.99710991 0.00739932 -0.79673041]\n", " [ 0. 0. 1. 0. 0. ]]\n", "ABCDc: \n", "[[ 0. 0. 0. 0.04440879 -0.04440879]\n", " [ 1. 0. -0.00578297 0. -0.23997611]\n", " [ 0. 1. 0. 0. -0.67004646]\n", " [ 0. 0. 1. 0. 0. ]]\n", "ABCDcs: \n", "[[ 0. 0. 0. 0.16352917 -0.16352917]\n", " [ 0.29968154 0. -0.01756686 0. -0.26482215]\n", " [ 0. 0.32919785 0. 0. -0.24341548]\n", " [ 0. 0. 2.75268628 0. 0. ]]\n", "L0: (array([], dtype=float64), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), 0.044408788405152069)\n", "M: 1\n", "f0: 0.0\n", "form: FB\n", "ntf: (array([ 0.99710991+0.07597258j, 0.99710991-0.07597258j, 1.00000000+0.j ]), array([ 0.76451468+0.28005204j, 0.76451468-0.28005204j, 0.66846004+0.j ]), 1.0)\n", "order: 3\n", "osr: 32\n", "peak_snr: [[ 70.50168227]]\n", "sys_c: [(array([], dtype=float64), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), 0.044408788405152069), (array([-0.17907423+0.18495837j, -0.17907423-0.18495837j]), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), -0.67004646290976189)]\n", "sys_cs: \n", "(array([[ 0. , 0. , 0. ],\n", " [ 0.29968154, 0. , -0.01756686],\n", " [ 0. , 0.32919785, 0. ]]), array([[ 0.16352917, -0.16352917],\n", " [ 0. , -0.26482215],\n", " [ 0. , -0.24341548]]), array([[ 0. , 0. , 2.75268628]]), array([[ 0., 0.]]))\n", "tdac: [0, 1]\n", "tdac2: \n", "[[-1. -1.]\n", " [ 0. 1.]]\n", "umax: 0.78\n" ] } ], "prompt_number": 16 }, { "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 21:56:21 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 21:56:21 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 17, "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 21:56:21 2014 CEST" ] } ], "prompt_number": 17 } ], "metadata": {} } ] }