{ "metadata": { "name": "", "signature": "sha256:b88848618bbdd8d59359db1b240c28aad8d06512436c4309a4f9c3f273bb4a99" }, "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", "import numpy as np\n", "from IPython.core.display import HTML\n", "from deltasigma import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Audio demo of mod1 and mod2 - demo #4\n", "=====================================\n", "\n", "Demonstration of the first and second order modulators, as in `dsdemo4.m` in the **MATLAB Delta Sigma Toolbox**, albeit this demo employs its Python port **`deltasigma`**.\n", "\n", "Port written by G. Venturini. First version Jan 1st, 2014. *Happy new year!!*\n", "\n", "##Introduction\n", "\n", " * The user selects:\n", " * A modulator. It may be the simple `mod1` or `mod2`, or a user specified modulator.\n", " * The source (sine, ramp or file).\n", " * The $\\mathrm{sinc}^n$ filter order $n$ and decimation factor.\n", " * The output signal and quantization error are evaluated.\n", " * The signals are passed through the decimation filter.\n", "\n", "Input, output and quantization error are compared in terms of time evolution, spectra and played out aloud." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Options and utility functions\n", "You may skip to the following section" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotsize = (20, 4) #The plot size in inches. Reduce for low res/small screens" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# An in-browser HTML5 audio player\n", "# Notice there is an audio player in the dev branch of iPython,\n", "# it is unlikely that as of today Jan 1st, 2014 many people have access to it\n", "# for that reason, the following function is used instead.\n", "# It is originally from the notebook 'the sound of Hydrogen' by 'filmor', with small modifications.\n", "# http://nbviewer.ipython.org/url/gist.github.com/filmor/c7ae1a867fc9058ffcd4/raw/91ce69c1400540ed39f68bd92234abfb1dc2ae70/tone-generator.ipynb\n", "from io import BytesIO\n", "import base64, struct\n", "\n", "def wavPlayer(data, rate, scale=False, autoplay=False):\n", " \"\"\"This method will display html 5 player for compatible browser with \n", " embedded base64-encoded WAV audio data.\n", "\n", " Parameters :\n", " ------------\n", " data : 1d np.ndarray containing the audio data to be played\n", " rate : the data rate in Hz\n", " scale : if set to True, the audio signal is amplified to cover the full scale.\n", " \"\"\"\n", " if np.max(abs(data)) > 1 or scale:\n", " data = data/np.max(abs(data))\n", " data = (2**13*data).astype(np.int16)\n", " \n", " buffer = BytesIO()\n", " buffer.write(b'RIFF')\n", " buffer.write(b'\\x00\\x00\\x00\\x00')\n", " buffer.write(b'WAVE')\n", " \n", " buffer.write(b'fmt ')\n", " if data.ndim == 1:\n", " noc = 1\n", " else:\n", " noc = data.shape[1]\n", " \n", " bits = data.dtype.itemsize * 8\n", " sbytes = rate*(bits // 8)*noc\n", " ba = noc * (bits // 8)\n", " buffer.write(struct.pack('' or (data.dtype.byteorder == '=' and sys.byteorder == 'big'):\n", " data = data.byteswap()\n", "\n", " buffer.write(data.astype(np.int16).tostring())\n", "\n", " # Determine file size and place it in correct position at start of the file.\n", " size = buffer.tell()\n", " buffer.seek(4)\n", " buffer.write(struct.pack('\n", " \n", " Your browser does not support the audio element.\n", " \"\"\".format(base64=base64.b64encode(val).decode(\"ascii\"), autoplay=autoplay)\n", " display(HTML(src))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Source type\n", "Set the `SourceType` flag, which has the following meaning:\n", "\n", "* `0`: sine wave, see below for amplitude and frequency values.\n", "* `1`: ramp from -.7 to +.7.\n", "* `2`: audio file: a 9 seconds long recording of a tenor sax playing. Please make sure you download and save the file `sax.wav.b64` first, as explained below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "SourceType = 0 # change the SourceType" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you set `SourceType = 0` above, here you can specify the amplitude and frequency of the sine wave.\n", "\n", "Otherwise, the following values are ignored." ] }, { "cell_type": "code", "collapsed": false, "input": [ "SineAmp = .4\n", "SineFreq = .5e3" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you set `SourceType = 1` (ramp), there is nothing you need to do.\n", "\n", "if you set `SourceType = 2` (file), make sure you download the file `sax.wav.b64` included with this notebook and save it to the current working directory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modulator order\n", "Select a modulator order equal to `1` to have the `mod1` structure, modulator order equal to 2 provides `mod2`.\n", "\n", "**Note:** two convenience functions `mod1()` and `mod2()` are available to quickly access NTF, STF and ABCD matrix for `mod1` and `mod2`.\n", "\n", "Modify the following code to employ your modulator of choice!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mod_order = 2\n", "if not mod_order in (1, 2):\n", " raise ValueError('Please choose an order equal to either 1 or 2')\n", "ABCD_mod1 = np.array([[1., 1., -1.], [1., 0., 0.]])\n", "ABCD_mod2 = np.array([[1., 0., 1., -1.], [1., 1., 1., -2.], [0., 1., 0., 0.]])\n", "ABCD = ABCD_mod1 if mod_order == 1 else ABCD_mod2\n", "print \"Delta sigma modulator ABCD matrix:\"\n", "print ABCD" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Delta sigma modulator ABCD matrix:\n", "[[ 1. 0. 1. -1.]\n", " [ 1. 1. 1. -2.]\n", " [ 0. 1. 0. 0.]]\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $\\mathrm{sinc}^n$ decimation filter: parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "SincOrder = 2 # SincOrder\n", "DecFact = 32 # 32 DecFact" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Misc. options" ] }, { "cell_type": "code", "collapsed": false, "input": [ "T = 2 # Input signal duration in seconds.\n", "FsOut = 8192 # set to ensure compatibility.\n", "Fs = FsOut*DecFact #Fs" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "###Setup the input signal" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = int(np.round(T*Fs))\n", "if SourceType == 0:\n", " SineAmp = max(min(SineAmp, 1), 0) # 0 <= SineAmp <= 1\n", " if SineFreq >= FsOut/2:\n", " raise ValueError('Anything above FsOut/2 (%g) will be inaudible.' % FsOut/2)\n", " print \"Generating a sine wave:\"\n", " print \" * at freq. %g Hz, \" % SineFreq\n", " print \" * with norm. amplitude %g,\" % SineAmp\n", " print \" * sampled at %g Hz,\" % Fs\n", " print \" * total length %g s (%d #samples).\" % (T, N)\n", " u = SineAmp*np.sin(2*np.pi*SineFreq/Fs*np.arange(N))*ds_hann(N)\n", " u0 = u[::DecFact]\n", "elif SourceType == 1:\n", " u = np.linspace(-0.7, 0.7, N)\n", " u0 = u[::DecFact]\n", " print \"Generating a ramp:\"\n", " print \" * from -.7 to +.7, \"\n", " print \" * sampled at %g Hz,\" % Fs\n", " print \" * total length %g s (%d #samples).\" % (T, N)\n", "elif SourceType == 2:\n", " from scipy.interpolate import interp1d as interp\n", " filename = 'sax.wav'\n", " T = 9\n", " try:\n", " from scipy.io import wavfile \n", " except ImportError:\n", " print \"Error: Reading audio files requires scipy > v 0.12.0\"\n", " try:\n", " fpin = open(filename + '.b64', 'r')\n", " b64data = fpin.read()\n", " fpin.close()\n", " fpout = open(filename, 'wb')\n", " fpout.write(base64.b64decode(b64data))\n", " fpout.close()\n", " sr, filedata = wavfile.read(filename)\n", " except IOError:\n", " print \"Wav file %s not found.\" % filename\n", " if len(filedata.shape) == 2:\n", " filedata = np.average(filedata, axis=1)\n", " T = min(T, filedata.shape[0]/sr)\n", " N = int(np.round(T*Fs))\n", " filedata = filedata[:int(np.round(T*sr)+1)]\n", " if max(abs(filedata)) > 1:\n", " filedata = filedata/max(abs(filedata))\n", " filets = np.arange(filedata.shape[0])/sr\n", " ts = (np.arange(N)/Fs)\n", " u0 = interp(filets, filedata)(ts[::DecFact])\n", " u = interp(filets, filedata)(ts)\n", " print \"Decoded the file %s.b64 and loaded its data.\" % filename\n", " print \"Input data available:\"\n", " print \" * sampled at %g Hz,\" % Fs\n", " print \" * total length %g s (%d #samples).\" % (T, N)\n", " print \" * normalized (only if amp > 1)\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Generating a sine wave:\n", " * at freq. 500 Hz, \n", " * with norm. amplitude 0.4,\n", " * sampled at 262144 Hz,\n", " * total length 2 s (524288 #samples).\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspect the input signal\n", "### Plot: time domain" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.arange(N)[::DecFact]/Fs, u0)\n", "figureMagic(size=(20,4))\n", "ylabel('$u(t)$');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YmOE9egEHAv8GcqnNdK0PoVasiJlMixfD9Okwfjx89BEMHw6vvQZ16zqjSdp0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\nCkycCPvum3ZVkqpT3bQLkCS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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot: frequency domain" ] }, { "cell_type": "code", "collapsed": false, "input": [ "if SourceType == 0 or SourceType == 2:\n", " N = max(u0.shape)\n", " if SourceType == 0:\n", " U = np.fft.fft(u0)/(N/4)\n", " else:\n", " U = np.fft.fft(u0 * ds_hann(N))/(N/4)\n", " f = np.linspace(0, FsOut, N + 1)\n", " f = f[:N/2 + 1]\n", " semilogx(f, dbv(U[:N/2 + 1]))\n", "xlabel('f [Hz]')\n", "ylabel('U(f) [dB]')\n", "figureMagic(xRange=[1, max(f)], size=plotsize, name='Spectrum')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Zlm5FNNnnnO4U6/PPE683eXL0Nsn2lWh+uHL7f/9XlYqt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\npKuuCiqDLVpY8HWrrSz4Jdn3f9BB0owZFkRs1cp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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Play the input signal\n", "\n", "Click on the Play button to listen to the input signal.\n", "\n", "*Requires a HTML5-capable browser such as recent version of Chrome, Firefox or IE.*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Show a Html 5 audio player\n", "wavPlayer(data=u0, rate=FsOut)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate!\n", "The simulation is run calling `simulateDSM()`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "v, junk1, junk2, y = simulateDSM(u, ABCD)\n", "del junk1, junk2\n", "q = v - y # quantization error" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspect the output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot: time domain" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = max(v.shape)\n", "nPlot = 400\n", "if N > nPlot:\n", " n = np.arange(int(np.floor(N/2 - nPlot/2)), int(np.floor(N/2 + nPlot/2)))\n", "else:\n", " n = np.arange(N)\n", "n = n.astype(np.int32)\n", "hold(True)\n", "t = np.arange(max(n.shape))\n", "step(t, u[n], 'r')\n", "bar(t, v[n], color='b', linewidth=0)\n", "ylabel('$u(t), v(t)$')\n", "xlabel('Sample #')\n", "axis([0, max(n)-min(n), -1.1, 1.1])\n", "figureMagic(size=(20, 4), name='Modulator Input & Output')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qLxRv7LExbe+63lLjTN0/ZWodU3KyW+7K4ixnueV0ganOnIErV061N3Wst+vr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\nI+nRj6ZZLGgWC67cAgtWNJc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3nZAkSZIkSZKuHudoH72TJEmqmncySZIklTd0\nh5MkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSdKc/n9L\nvxWugtA3JgAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot: frequency domain" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = max(v.shape)\n", "Nfft = min(N, 16*8192)\n", "n = np.arange((N - Nfft)/2, (N + Nfft)/2).astype(np.int32)\n", "V = np.fft.fft(v[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "if SourceType == 1:\n", " inBin = np.round(SineFreq/Fs*Nfft)\n", "else:\n", " inBin = np.ceil(Nfft/1000)\n", "hold(True)\n", "ylabel('V(f) [dB]')\n", "xlabel('Frequency [Hz]')\n", "semilogx(np.arange(max(V.shape))/max(V.shape)*Fs, dbv(V))\n", "f, Vp = logsmooth(V, inBin)\n", "semilogx(f*Fs, Vp, 'm', linewidth=2.5)\n", "xlim([f[0]*Fs, Fs/2])\n", "msg = 'NBW = %.1f Hz ' % (Fs*1.5/Nfft)\n", "text(Fs/2, -90, msg, horizontalalignment='right', verticalalignment='center')\n", "figureMagic(size=plotsize, name='Spectrum')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HPjTQD0/zfB8ayKKp1fP4cLEmWP9oPdnBAFIWm8lkK1lsIVNd2LqYb76BMWMi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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decimate; Comparison of output signal and input signal" ] }, { "cell_type": "code", "collapsed": false, "input": [ "w = sinc_decimate(v, SincOrder, DecFact)\n", "filtered_q = sinc_decimate(q, SincOrder, DecFact)\n", "N = max(w.shape)\n", "t = np.arange(N)/FsOut\n", "subplot(211)\n", "plot(t, w)\n", "ylabel('$w$')\n", "figureMagic(size=(20, 4))\n", "subplot(212)\n", "plot(t, u0[:-1] - w, 'g')\n", "ylabel('$u-w$')\n", "xlabel('t [s]')\n", "figureMagic(size=(20, 4))\n", "suptitle('Output and conversion error');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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nnrPP2f/7HwwaZAks0dGWtHLKKZb00rixJaSkpVnAZ9UqCyAlJ1tgyTfA43bn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\nyE4WVi+0b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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Play the output signal\n", "\n", "Click on the Play button to listen to the output signal `w`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "wavPlayer(data=w, rate=FsOut)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Play the quantization error (filtered)\n", "\n", "Click on the Play button to listen to the quantization error `filtered_q`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "wavPlayer(data=filtered_q, rate=FsOut, scale=True)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Play the difference in the signal before and after A/D conversion" ] }, { "cell_type": "code", "collapsed": false, "input": [ "wavPlayer(data=u0[:-1]-w, rate=FsOut, scale=True)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Final comparison of the spectra of the three signals" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = max(filtered_q.shape)\n", "Nfft = min(N, 16*8192)\n", "n = np.arange((N - Nfft)/2, (N + Nfft)/2).astype(np.int32)\n", "E = np.fft.fft(filtered_q[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "W = np.fft.fft(w[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "U0 = np.fft.fft(u0[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "if SourceType == 0:\n", " inBin = np.round(SineFreq*Nfft)/FsOut\n", "else:\n", " inBin = np.ceil(Nfft/1000)\n", "hold(True)\n", "ylabel('dB')\n", "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(U0), label='Input signal')\n", "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(W), label='Output signal')\n", "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(E), label='Filtered quant. error')\n", "f, U0p = logsmooth(U0, inBin)\n", "semilogx(f*FsOut, U0p, '#1E90FF', linewidth=2.5)\n", "f, Wp = logsmooth(W, inBin)\n", "semilogx(f*FsOut, Wp, '#556B2F', linewidth=2.5)\n", "f, Ep = logsmooth(E, inBin)\n", "semilogx(f*FsOut, Ep, '#8B0000', linewidth=2.5)\n", "xlim([10, FsOut/2])\n", "msg = 'NBW = %.1f Hz ' % (Fs*1.5/Nfft)\n", "text(FsOut/2, -6, msg, horizontalalignment='right', verticalalignment='top')\n", "figureMagic(size=plotsize, name='Spectrum')\n", "legend(loc=3);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YOfPk43M4YONG+Omnk4/rdFFRIffudNa3JKee1auhqAimT6fowQfZ8MYbbHnvPUqzs+tb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VwsOANATo6c09OGAIrPJFK2CHmmuhC3kCCSCpIZHDmQ9II08gx5/Jl3lAxNIRalDWmG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1nh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\nHa3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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "We briefly demonstrated the use of two modulators to perform A/D conversion of audio signals. \n", "\n", "Feel free to go through this notebook, change the parameters and resimulate!" ] }, { "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
Python2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]
IPython2.1.0
OSposix [linux2]
numpy1.8.1
scipy0.14.0
matplotlib1.3.1
deltasigma0.1-4
Tue Jun 24 18:04:51 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]\", \"module\": \"Python\"}, {\"version\": \"2.1.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.1\", \"module\": \"numpy\"}, {\"version\": \"0.14.0\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-4\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2] \\\\ \\hline\n", "IPython & 2.1.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.1 \\\\ \\hline\n", "scipy & 0.14.0 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-4 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Jun 24 18:04:51 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "Software versions\n", "Python 2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]\n", "IPython 2.1.0\n", "OS posix [linux2]\n", "numpy 1.8.1\n", "scipy 0.14.0\n", "matplotlib 1.3.1\n", "deltasigma 0.1-4\n", "Tue Jun 24 18:04:51 2014 CEST" ] } ], "prompt_number": 22 } ], "metadata": {} } ] }