{ "metadata": { "name": "", "signature": "sha256:8cb21b1ab000635683f8a754feb4685222271ac52b6be7f00760b3ab6df8be66" }, "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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DokWLaN68OTExMSxfvhyA2NhYypQpQ9WqValRowYPPvhgjlaVfv36ERUVxdNP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\nXunSS6Urr5Q++STgnx4AEGEyM6UqVczpxbNm2Y4GQKDRwx0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0P/YciZRYFHHR0TB4MMTFweLFMqgRhZOWBnPnwrvvwrx52lzZRmbkviWvivox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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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n+iXIKeKsPA9zAAWdTSfhlICzOqUOrtlCmvvSZzrMe8CTJ04h8AJMeHg4unfv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\nH/9GEQcAAAAAfoQ1cQAAAABgGdbEAQAAAEA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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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q1as8ePCA2bNnZ3pMYmIiZcqUoVy5cly7do3PPvvMYLuzs7PB1DsDBgxg69at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\nUbZA3xz5BhdvXtT5+ODgYOMVYyTm3CBbYp7mjHmKxTzFYZZiMU+xROa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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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cQb7AUeQK7LHb/+V/VGrTTDM2zFBMjxilrxopZRbK0UcG3CoKMQAAABRoWcXV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\nTVgzQRPWTNAF5S9Q/yb91aNhD1WuULl4Q1rAOeiB6MSMXsz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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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+0ctYZGVy3NeNC8fPGS4wI9D6vi+OmJgY3Nzc9NOurq7ExMSoGFFuBe3Tw4ch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STLvKjcTEKysiKozCyssBAioiDdTWRZFyvILmRB2IVokklRWPSHXC7NkkCipv1BMkkF/zCU2vu7\nkA4ncuWvTYfr+7na9N37vM8OPj5s5z1HtLe3i6GhoYDbpHfmzBkhxMjdsUbbpDc4OCj6+vqEECOb\nBFauXCnu3r07oev0lbEcS/kmH7vdHjCbtcaSe2dnp3C73UIIIRoaGsT8+fP9sNLx097ePqZNeoF0\n3MeDN39H3tRTb+J6W8f+z7oLCwt/2iw33jl7ijsROX/48EFoNBpht9v/et2+jOtNzmOJ++7dO6lG\nNjU1CbVa7XW+3sYe75zlsrOzRVVV1YTl7Cm2v/uSf6JBvnHjhlCpVCIkJERERUWJtLQ0IYQQHR0d\nIj09XRp3+/ZtsWjRIqHRaMTp06f9tVyf6+7uFmvXrhULFy4Uqampore3Vwjxc/5Op1Po9Xqh1+uF\nVqud9PmPdixLS0tFaWmpNObQoUNCo9GI+Ph4j1c3mYz+lPulS5eEVqsVer1eJCUl/fLPZzLbvn27\nmDNnjggKChIqlUqUlZX9M8d9PHjzd+RNPf3buL6oY3+K/fnzZ6FSqUR4eLhQKpVi7ty5or+/f9xz\n9hR3InLeu3eviIyMFAaDQRgMBrF8+fLfvna843qb85/iFhcXC61WKwwGg0hOThYOh8Mn+XoTe7xz\nlpM3qRORs6fY/u5LeKMQIiIiIiIZXsWCiIiIiEiGDTIRERERkQwbZCIiIiIiGTbIREREREQybJCJ\niIiIiGTYIBMRERERybBBpoAwdepUJCQkID4+Hps2bcLAwMBfzXP16lXk5+f7eHVERIHLarUiLi4O\nO3fu9PdSiHyGDTIFhLCwMDQ3N6OlpQXh4eG4cuXKX83j7X3niYj+NZcvX0ZdXR2uXbsm/ezbt29+\nXBGR99ggU8BJSkqC0+kEADidTqxfvx5GoxEpKSl48+YNAODWrVtYsWIFli5ditTUVHR1dflzyURE\nk1JeXh7a2tqQlpYGpVKJXbt2ITk5Gbt378bXr1+xZcsWJCYmIjExEfX19QCA7u5umEwm6HQ67Nu3\nDzExMejp6cH79++xZMkSae6SkhJYLBYAnmt5dnY2jhw5glWrVkGj0aCqqkp6fXFxMeLj42EwGHDi\nxAm0tbVh2bJl0u/fvn3703MiOTbIFFC+f/+Oe/fuQafTAQD279+PixcvorGxEefOncPBgwcBAKtX\nr8azZ8/w4sULbNu2DWfPngUA8MaSRERjV1paiujoaDx8+BAFBQVobW3F/fv3UV5ejsOHD6OgoAAO\nhwOVlZXIzc0FAFgsFqSkpOD169fIzMzEx48fR51boVBI3+p5quUA0NnZiadPn6K2thbHjx8HANy5\ncwc1NTVwOBx4+fIljh07BrVajVmzZuHVq1cAAJvNhpycnPF8e2gSm+bvBRD5gsvlQkJCAjo6OhAT\nE4O8vDwMDAzAbrcjKytLGjc8PAwA+PTpE7Zu3YrOzk4MDw9DrVb7a+lERJPejw8XMjIyEBwcDACo\nq6tDa2urNKa/vx+Dg4N48uQJqqurAQDp6emIiIj47byDg4Oor68ftZYrFAps3LgRALB48WJ8+fJF\nip2Tk4OQkBAAgFKpBADk5ubCZrPhwoULqKiowPPnz32SPwUeNsgUEEJDQ9Hc3AyXywWz2YybN29i\n3bp1UCqVaG5u/mV8fn4+jh49ig0bNuDRo0coKiqa+EUTEQWYsLAw6bEQAg0NDZg+ffov40b7tm7a\ntGlwu93Sc5fLBYVCAbfbjYiIiFFrOYCf5v8xr0KhGDXG5s2bYbFYsGbNGhiNxt825/Rv4ykWFFBC\nQ0NhtVpx8uRJzJgxA7GxsaisrAQwUjhbWloAAH19fYiOjgYwcuUKIiLyLZPJBKvVKj3/cWpDSkoK\nrl+/DmDkVIje3l4AQFRUFLq6utDT04OhoSHU1tYCAGbOnOmxlnuSmpoKm80Gl8sFAFKM4OBgmM1m\nHDhwAHv27PFhthRo2CBTQJBffcJgMGDBggWoqKhAeXk5ysrKYDAYoNPpUFNTAwAoKipCVlYWjEYj\nZs+eLb1efs4bERH9mbxmyh9brVY0NjZCr9dDq9VKVxcqLCzE48ePodPpUF1djXnz5gEAgoKCcOrU\nKSQmJsJkMiEuLk6ay1Mt9xTfbDYjIyMDRqMRCQkJOH/+vDRmx44dmDJlCkwmk4/fCQokCsFdSURE\nROQnsbGxaGpqQmRk5ITEKykpQX9/v3SFDKLR8BxkIiIi8puJ/NYuMzMT7e3tePDgwYTFpMmJnyAT\nEREREcnwHGQiIiIiIhk2yEREREREMmyQiYiIiIhk2CATEREREcmwQSYiIiIikmGDTEREREQk8x8J\nj0QFncL7BAAAAABJRU5ErkJggg==\n", "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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Iywe0Ntks5WmW8jRLeZqjLM1SnmYpT3OUpVnKM2uoiBMREREREclF1BMnIiIiIiKSA6kn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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... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "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 ]), 0.044408788405152014)\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 ]), 0.044408788405152014), (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
Python2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]
IPython2.0.0
OSposix [linux2]
numpy1.8.0
scipy0.13.0
matplotlib1.3.1
deltasigma0.1-2
Sat May 03 11:16:57 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]\", \"module\": \"Python\"}, {\"version\": \"2.0.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.0\", \"module\": \"numpy\"}, {\"version\": \"0.13.0\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-2\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1] \\\\ \\hline\n", "IPython & 2.0.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.0 \\\\ \\hline\n", "scipy & 0.13.0 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-2 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Sat May 03 11:16:57 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "Software versions\n", "Python 2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]\n", "IPython 2.0.0\n", "OS posix [linux2]\n", "numpy 1.8.0\n", "scipy 0.13.0\n", "matplotlib 1.3.1\n", "deltasigma 0.1-2\n", "Sat May 03 11:16:57 2014 CEST" ] } ], "prompt_number": 17 } ], "metadata": {} } ] }