{ "metadata": { "name": "", "signature": "sha256:38009a63a6410418b134182f736f42c5454b1052062bc7b5fb4fd8736d2d68a0" }, "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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0mOd+3McZ6f1WnXz2hNAWKbzFTTPUKMQln2DGV7u5WGVg0eRwnhrmSzsrWXlS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FFyEqKvDl+9c9mPX3jyFY5Rf9//FKfaH0vy/f5TZt2vDxxx+Xub9XX32VQYMG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\nwAzLsmYB+3xeN1rr0E0CrIQGUfx/e3ceH1V9Ln7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6IeCJJ57I0qVLG3xs0KBBLFiw4Bvr\nu3Xrxr///e8Gn3P48OHoGzfGGIfVNDsaOx1fX0Z6Ky45fgB/W7Axfh1KsKbEn2r8HDukRvxLtpSz\nubySaSMjz80cKhVijyVVvVRVx6jqWFU9X1V3hDx2t6oOUdVjVLXhbDREIPD1pLlXL9i5M/hzrKac\na4hbx9TN95LfYrbX2h9te3F8tqS5mc4bnc3n2/aydtd+t7tijK8FAgEefX893z9xIK3TbUjzitJS\nyMyEugkuevYM3hUwEICDB5s+5ZwxxrjNappb4MkFG1mzaz93fuvYuLZjjAlv4cZS7pv9Bf+4chIZ\nreKfNKdyTXOsFBYWBrp3z+fSS6GuqmLHDhg9Ojh3c9euwRINY4zxonDjvJ2WaYELxuWwcGMp63bb\n2WZj3BAIBHhs/nqunjwoIQmzid6WLdCv31fLnTvD3r3B0gw7y2yMSUauf8qISDdn3tDVIvK2iGSF\n2a5YRJaKSJGILIx1P5pTO9MxM4PLJw3k4XfXxbo7CefF2qFE8XPskNzxf7C+hIrqGs48pnk3G0rm\n2L2upAS6d/9quW1bOHw4mDjHq54Z/Fl/6beY7bX2R9teHJ9dT5qBm4DZqjoMKHSWGxIA8lQ1V1Uj\n3r41UQpyc9hYWsGC4lK3u2KMr9QGAjz2/nqumTyYVjZjhueUlwfLMOqkpQXPNu/aFd+k2Rhj4sUL\nSfN5wJPOz08C5zeybdw+GesmtW6q1umt+PGpR/PQvLXU1CZvfXhz408Ffo4dkjf+d1bvIi0tjbyh\nPZq9j2SNPRmUlX09aYbgRYG7dsW3PMOtY+rme8lvMdtr7Y+2vTg+eyFp7h0yrdEOINz/WQPAHBH5\nRESuSkzXojNlWE/atU7njRXb3e6KMb5QVV3D7+et5drTjrZ5mT2qrAyy6hXbdeoUnFWjdWt3+mSM\nMS2RkKTZqVle1sDXeaHbOZPlhztdO1lVc4FpwI9E5JRY9rEltTNpaWn89PQhPDZ/PVXVNbHrVAJ5\nsXYoUfwcOyRn/E8s2Mix2Z05fkDLbmWfjLEni/rlGfBV0pwRx9tq+bH+0m8x22vtj7a9OD4n5I6A\nqnpmuMdEZIeI9FHV7SKSDewMs49tzvddIvIiwdu5zm+s3Xnz5iXs3uolq4vIblPL04s28f9OGuTa\nvdKT7d7ytmzLTV3eXFbBc4uK+dmxX51hbu7+mvt8E1lD5RmdO9uZZmNM8nJ9nmYR+V+gRFXvE5Gb\ngCxVvaneNu2BdFXdJyIdgLeBX6nq2+H2m4h5muv7srySy57+hKcuOY6+XexKF2NiLRAI8NMXljKh\nfxaXThrgSh9snubICgsLA3fckc+dd8Jpp321fsYMGDQIFi6E9993r3/GGNMYL8/TfC9wpoisBqY4\ny4hIXxF53dmmDzBfRJYAC4DXGkuY3ZKT1Y7vHd+fe97+Arf/GDEmFb23djdb91Ry8XH93e6KiaCh\n8ozMTDhwIL7lGcYYEy+uJ82qWqqqZ6jqMFWdqqrlzvqtqjrd+Xm9qo5zvkap6j2x7kf9f9c21/eO\nO4rSikO8mWQXBcYq/mTk59gheeKvqq7hgblr+K/8YTG7XXayxJ6MGroQMDMT9u+Pb3mGW8fUzfeS\n32K219ofbXtxfHY9aU41GemtuO2sY3ho3lpKDxxyuzvGpIwnFmxkRO9OTBrYsov/TGI0VNPctm0w\nabYzzcaYZOR6TXO8uFHTHOqheWvZtf8gd37rWNf6YEyq+HzbXn7+r894+rKJ9OyY6WpfrKY5ssLC\nwsBZZ+VTXR28qUmda6+Fzz+HDh3glVfc658xxjTGyzXNKemayYNYvnUP76/b7XZXjElqVdU1/PKN\nFfwif5jrCbOJXpcuX0+YwWqajTHJzZJmR6xrZ9q2TueWs47h3tlfsP/g4ZjuOx68WDuUKH6OHbwf\n/x/eW8fwXh2Zeky4+x41n9djT2YdOnxzndU0p1bbfmvXzbYtZm+wpDmOJg7oxkmDunPfbJtNw5jm\nWLixlLmrd3HDGcPd7oppovbtv7muLmm2M83GmGRkSbMjXjct+PmUoXyxcx+vf+7t2TT8fNMGP8cO\n3o1/X1U1v35zJbedfQxd2sXn1KRXY08FDSXNibgQ0K1j6uZ7yW8x22vtj7a9OD5b0hxnbVunc/e5\no3ho3lqKSw+43R1jksZv31nDyUf34MRB3d3uimmGcGeaDxywOwIaY5KTJc2OeNbODOnZkR+cMphb\nXvmcg4dr4tZOS3ixdihR/Bw7eDP+N1dsZ9nWPVx32pC4tuPF2FNFuKS5qiq+Z5r9WH/pt5jttfZH\n214cn62yLEFmjOnLoo1lPDRvrdVnGtOI1Tv38cA7a3h0Zi7t2qS73R3fEZGfAD8EaoDXVfVGZ/3N\nwJXO+msj3ZW1Xbtvrst0Jj+xM83GmGRkZ5od8a6dSUtL49azjuGD9SXMXb0rrm01hxdrhxLFz7GD\nt+LfW1XNDS8t47/yhzKkZ8e4t+el2L1ARE4HzgPGqOoo4H5n/UhgJjASOBt4REQa/fwId6YZrKY5\nVdr2W7tutm0xe4MlzQnUMTODu88dxb2zV7GprMLt7hjjKbWBALe/voJTh/TkrBF93O6OX/0AuEdV\nqwFUte4v/G8Dz6pqtaoWA2uBiY3tqLGk2c40G2OSkSXNjkTVzhyb3ZlrTh7Mz/+1lL1V1QlpMxpe\nrB1KFD/HDt6J//EPN1BxqIZrTzs6YW16JXYPGQqcKiIfi8g8ETnOWd8X2BKy3RYgp7EdNZQ0pzvV\nNlbTnBpt+61dN9u2mL3Bappd8J2xORSXVHDzK8t56IKxZKTb3y7G3+av283LS7fx5CXH2e9DnInI\nbKChU/m3EvxM6KqqJ4jI8YACg8PsqtHJ5xuqaW7lHFo702yMSUaWNDsSXTtzXd4Qfv6vpdz/zhpu\nPGMYafXvN5tgXqwdShQ/xw7ux19ccoD/eWsl958/hh4Jvk2227G7QVXPDPeYiPwA+Jez3SIRqRWR\nHsCXQP+QTfs568Latm0jMAD46oxRenoeAJs3b2DevI1HXv+6x2OxnJeXF9P9NWW5TqLbr1uX6Hjd\nWnYzXnt/uX/8E/16h0pL1TvVFRYWBvLz893uRqP2HzzM92ct5jtj+zJzfP/ITzAmxezaf5DvP7OY\nqycP4lujst3uTlQKCwvJz89396/cOBGRa4C+qvpLERkGzFHVo5wLAWcRrGPOAeYAQ1S1wQ+QwsLC\nwAcf5HP77V9f/9ZbMG0a3H033HxzXEMxxphmCzfO2/9BHY39ZREvHTMzeGDGGJ74eCMfbihJePuh\n3IjfK/wcO7gX//6Dh7nun58xY2xf1xJmvx/7BvwVGCwiy4BngUsBVHUFwVKNFcCbwA/DJcx1GirB\naOV84lhNc2q07bd23WzbYvYGK89wWU5WO+49bxQ3vLyMPxbkMrRX/KfZMsZthw7Xcv1LSxnXrwuX\nTxrgdneMw5k145Iwj90N3B3tvtq0+ea6uqQ53abfNsYkISvP8IjZq3YEb+hwUS4Du3VwuzvGxE1t\nIMBtr31OTW2Au88dRXqr5Kp0SOXyjFgpLCwMrFiRz09+8vX177wD+fnwu9/BT3/qTt+MMSYSK8/w\nuDOP6c0PTz2aH+sSviyvdLs7xsTNQ3PXsnv/QX49fWTSJcwmeo2VZ9iZZmNMMrKk2eGF2plz9Na6\nEQAAHa1JREFUR2Vz6cQB/EiL2LnvYELb9kL8bvFz7JDY+P+2oJiPN5Zy/4wxZGa4nzn5/djHU2Pl\nGa3i+Mnjx/pLv8Vsr7U/2vbi+GxJs8fI+H58Z2wOP9IiSg8ccrs7xsTMEx8X8+qy7Tx84Tg6t7WJ\nelNdY2ea45k0G2NMvFhNs0f96f31vLt2N49dlGsJhkl6f/5wA2+v3MGjM3MTPhdzrFlNc2SFhYWB\n3bvzmTnz6+s//BAmT4Y//QmuvtqdvhljTCRW05xkrp48iOMHdOXHzy+hvNI7t9s2pikCgQCPvb+e\n2at28thF45M+YTbRc6s8wxhj4sWGLofXamfS0tL4ad4QJg7oxtXPLmbHvqq4tue1+BPJz7FD/OIP\nBAI8Mn89767ZxWMzc+neoYEsymV+P/bx5FZ5hh/rL/0Ws73W/mjbi+OzJc0elpaWxo9PPZpzR/Xl\nqlmfUlx6wO0uGROVQCDAw++u44P1JTw6M5duHkyYTXw1dKa5btYMmz3DGJOMrKY5SbyybCuPzF/P\ngxeM5ZjendzujjFhHa6p5d45X7B6x34eLhhHl3apVZNvNc2RFRYWBtLT88nL+/r6oiIYPx6eegou\nafAWKsYY4z6raU5y543uy41nDOfafy5h8aYyt7tjTIP2HzzMT1/4jN37D/HYRbkplzCb6NnsGcaY\nVGNDl8OLtTP1nT6sJ3efO4qbXlnO3NW7YrrvZIg/XvwcO8Qu/u17q7hq1mL6dW3P/TNG075NRkz2\nG09+P/bx5NZttP1Yf+m3mO219kfbXhyfLWlOMscd1ZWHLhzL/YWr+etHxaRqeY1JLl/s2Mf3Zy1m\n+qhsbjxjGBl2KtH37EyzMSbVWE1zktq1/yDXv7SM7M5tuf3sEbRrY1fWGHd8sL6EX725ghvPGE7+\n8F5udyfurKY5ssLCwkB2dj4jR359/cqVMHIkPP88XHihO30zxphIrKY5xfTsmMmfLsolM6MV35+1\nmK17Kt3ukvGZQCDAM4s28T9vreS3M8b4ImE20cvO/ua6RJRnGGNMvFjS7PBi7UwkmRnp/HLaCM4d\nnc0VTy9u0QWCyRh/rPg5dmhe/Puqqrnh5eW8vWoHf/3uBEb37RL7jiWA3499PHXt+s11Nk9zarXt\nt3bdbNti9gZLmpNcWloaF0/oz6+nj+SWV5ejn26xOmcTV6t27OOSpxb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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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xV1xxRaqbJwjtyj+2b+e2DRvQDnjpq6IiSk46iYHZ2SltR73XS4ZSpDskJCjV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\n5SlnMiFDmXSBJY+3ao6zeRx6IwCHXDFzlzieq+iBPI++5N6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rksQzz6zn0EHrVFCMtGJd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NjOf/sruO46+NrB43znqpLsujpvIasuSPL6ny3Fas4Q/PsOkOBTNdU83tPDovx8rqms5NOHD+OG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zY/zJM49jAN9acgWb+toAaGmB8fEiP5iN6EiUuxbew6v+I0bTQIBTXxmAWxcD8Ip3j/Gjlz/A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\np9Tbw52dHFZ0/1b/sc2qo71+21L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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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at27NBx98wJ49e+jUqRPPP/+8Qx6fM+NZ1O2bV+2vKlberTwRERFU8qxkK7UN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\nNGvczO/hJIRmmkVEJJ7U8ywiaUE9zSIi4hX1PItkgKlLp9L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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. -0.23997612]\n", " [ 0. 1. 0. 0. -0.67004645]\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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o4LSBev+G9zWq+yhVq1zN7bCAEkNBBgAAgKAw/ffpih0Vq8phlbViwAp1bdLV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\nb1P5SNjhwsMybjD00X0fqWOzjpQwAAAAwAdQyNwkJTtfUmk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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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MzyAtJZ309Awunr3I8f3HOXvoBEnHTpNy/DQZZxLJOpeIunABy/lEgs6dwT/lIukVK5F2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\njmbq1KmEhoZStWpV3nnnHbp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UNG1LPksfu31GA+m6rs8q5FROu/VSQgJUqABVq5b8WG+q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\npMfOHrSb047wJuHsenkXi+svZs3gNeyevJu8zXln/c76Yv8sZ5or6Zq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G+1i9cK3R4Qjh\nMR8OGof1aA43/PqR3w2YhevKK8+QM81CCH8kg2YnX6idufXNBykaPpzVI+9m0/ItXm3bF/I3iplz\nB+/m/17yE4Rt/J1hKR9Tq05Nr7VbFrMfe08qrzwjyIOfPGasvzRbzvJam6NtX+yfZdDsY26f+k8K\n+vVn8bDb2fb7DqPDEcJt3hs5gdBff6XX7A+Ia9rQ6HCEh5V3ptmTg2YhhPAUqWn2Ue9e8QghK1cw\neNF0GWAIv/fuVeMJXbKYi3+aSsuOzY0Op1qkprliqamp9sOH+zNq1NnrFy+G3r3hvffgrruMiU0I\nISoiNc1+5s7vJnKqVRvmXXoTu7bsqfgJQvggm83Gu5c/QujSJfRJmeb3A2bhOqPKM4QQwlOk63Ly\ntdoZq9XKmJ/foLDthaT0uZ4NGZs92p6v5e9NZs4dPJe/zWbj/csfJmTlcpJSptG8XaJH2qkOsx97\nTzKqPMOM9Zdmy1lea3O07Yv9swyafZjVamXsj5MpSupLxpBbSf9xmdEhCeESm83G+0MeIHTtGgb8\n8hlNLzzf6JCEl5V2prl41gyZPUMI4Y+kptlPfPKP1wj6fDoJU/5D3+v6Gh2OEGU6eeIkUwfcQ+ie\nXQz65TMSWjQyOiS3kprmiqWmptqt1v4kJZ29ftUq6NwZpk2Dm0q9hYoQQhhPapr93K1vPUjo/WPZ\nffcjzH7zW6PDEaJUB/YcYlqnUQTl5HBVxlcBN2AWrpPZM4QQgUa6LidfrJ0517XP3kb0c0+Q/eRz\nzHzqY7fu2x/y9xQz5w7uy399+kbmdEvGVr8+t6ycQd2GMW7ZryeZ/dh7klG30TZj/aXZcpbX2hxt\n+2L/LINmPzP8vquJe2cip956j/eunoDNZjM6JCFI02ksH3IrtqRLGZP2LhER4UaHJAwmZ5qFEIFG\napr91OaVf7DoqnsorBOL+uldYhtEGx2SMKmvX/qCvBcnEfKPu7nu+TuNDsfjpKa5YqmpqfaGDfvT\nps3Z6zduhDZt4Kuv4JprjIlNCCEqIjXNAeaCzi1Qa/6LPSyU7zqPYM2idUaHJEzGZrPxwQ3PkPfS\nZOpPfs4UA2bhuoal3JPJG+UZQgjhKTJodvLF2pmK1KpTkzFLpnJ6QF/WXDG6WhcI+mP+7mLm3KFq\n+e/bsZ8POl6LZdFvdJj9MYNGD3F/YF5g9mPvSXXq/H2dzNMcWG2brV0j25acfYMMmv2c1WrlzmlP\nUeup8WT/3/N8NPp5qXMWHrVgxgJ+7no19thYRq39ng6XtDM6JOEn5EyzEMKfSU1zAFn5y2pW3fQQ\nhXViGPL1azRplWB0SCKA2Gw2Pr37FYK1xjr2Lm54aYzRIRlCaporVlb/u307NG0Kc+fC0KEGBCaE\nEC6QmmYT6NyvI2r9bOwNGpDW6xq+fVUbHZIIEIczj/B+t5uxz51Hq6/eN+2AWVSPzJ4hhPBn0nU5\n+WLtTFXUjI5ibMpb1H7yEY49/yrv9L+X3JwTFT4vUPKvCjPnDhXn/+NH85jdYTj24GBGrvmObpd1\n8U5gXmD2Y+9tMk9zYLVttnaNbFty9g0yaA5QVz2UTN+l3xB04AC67eUsnr3U6JCEn8k5fJQpA/7B\nwYefIvzOW7gn/VOi68nUhqLqigfLcqZZCOGPpKY5wNlsNqbdM4ngGTPIH34lN34wXm48ISo07/05\n7H/yJfLjEhg64z9SH1+C1DRXrKz+d/9+x1R0v/wCffsaEJgQQrigrH4+2IhghPdYrVZGv/coGSP7\nsXrsU0xvMZQmL05gwE0DjQ5N+KCcQznMGPUEUSszCL93DKOfv8PokIQXKaVmAhc4F6OBHK11J+dj\nE4DbABtwv9b658ruX2bPEEL4M/knmZMv1s64U7fLunD7llmEXHMV++6bwJQ+d5G56+CZxwM9//KY\nOXf4K//Zb37Lt20vh+wjXLr0v1xnggGz2Y/9ubTW12qtOzkHyt84v1BKtQFGAW2AwcA7SqlKf37I\nPM2B1bbZ2jWybcnZN8ig2USsVis3T76fvstmYS8s5OcOl/PF4+/JvM4ml7lpP1PaK7Ke+Q8Rd9/G\n2FUzpBzD5JRSFkABM5yrrgRmaK0LtdY7gK1At8ruV2bPEEL4M+m6nJKSkowOwWsSWjTiniVTOe+l\n/+PUp9P5sO3VRBbUNDosw5jp2Jd0OPMI7w57iKLH/kNQ86ZctflHrn32NqPD8iqzHnsXXAIc0Fr/\n6VxuBOwp8fgeIK6yO/VGeYZRx9TI95LZcpbX2hxt+2L/LDXNJjZkzBWcuL4/X9zxIpuvuZPl7TrR\n/83HuaBzC6NDEx5UWFjEjMemYP/0c+yJzemSMoM23S6o+IkiICil5gMNSnnon1rr2c6frwOmV7Cr\ncq8iT0tLO/OhV/xv1s6dHcurVq3g5Mncvz0uy7Isy7LsK8ulstvtAfmVkpJir4wFCxZUavtA898Z\n39nfGfAP+7SaHe3vDB5n37s90+iQvMZMx37OlO/tHyQMtH8Q398+74O5drvdXPmfqyq5O/sWw/s4\nT30lJycHJycn709OTm5UYt3jycnJj5dY/jE5Obl7Wfsoq//NzbXbwW5fvrxSL3mlGPV+NvL3yGw5\ny2ttjraNzLmsfl7ONAsA6jSozYj5b7I+fSMLx00kpcMw8odczrVTHqFWHfOWbgSK2W9/R+ZrHxCa\nk03I9aO4/tV7CQmRX39RqgHARq31vhLrZgHTlVKTcJRltAAyKrvjIJk9Qwjhx2SeZlGqxbOXsnbC\nK0Rk7qHoyisZOXGs3NjCz9hsNua+8z37J39IyLGjWK69hlEv3U1EVITRofm1QJ+nWSk1FViitX7/\nnPX/xDHlXBEwTmv9U1n7KKv/zc+HiAhYswbat3dz4EII4SYyT7OolF5X9KDXFV/z09R5bH/lQ2a1\nGEBen74Mmngfia0bGx2eKIfNZmP26//l4FsfE3I8l7DrklEvjZGb2giXaK1Hl7H+BeCF6uy7+Exz\n8XchhPAn0nU5lVv4bQJl5T9o9BDuXv8NF8x4h9OHDvNbtyt555I7WZG60rsBelCgHPtj2blMe+AN\npiYOJnviG4RfOZRrd6Zwy+vjyh0wB0r+VWHm3I3gjfIMo46pke8ls+Usr7U52vbF/lnONAuXdB/S\nje5DuvHHmm2kTHiT9VffSUaTZiTefysDRw/CKkWKhln7v/X8798fELX0N07Wb0T07Tcy4vHrCA0L\nNTo0Ic5S3E3ImWYhhD+SmmZRJYczj/Dd+Hew/vgj9qAgipKS6DvhVlp0aGp0aKZQWFjEnDf+y4Gp\nmqhd2zh+UQ+6PH473S7rYnRoAS/Qa5rdobz+12KBzZuhZUsvByWEEC6SmmbhVnUbxnDHtCex2Sbw\n84c/sP3jr1l68UhSGzelTvLlDH/0WrngzAOWp6xk+dtfEva//3E6OITQK4YwNOVDYhvIRZrCf1jk\nTw4hhB+Sf5I5+WLtjDdVNX+r1cqQMVdwT/qnDNmSSnjfizn2qearuEuYMuAfpHw2n8LCIvcG62a+\nfuzXp2/k/Wuf5sOE/my45i7s2UdpNPEJbt2dwm3vPVbtAbOv5+9JZs49UJmx/tJsOctrbY62fbF/\nljPNwm3qNozh1rcehLceJOPnFayY/Dm7HnmW6eOe5ETb9jQY3p9Bdw8nqmak0aH6vK3rtvPrazOx\npS0k4vABbG06UP/hsVw25nKZBUMIIYQwgNQ0C49Ln5fBmqmzsGQsIzzrIMebt6LWwD70+8dIGjY+\nz+jwfMKJ3DxSP/mRvXN/JXTdOsKOHSG3eWtirhrM0HHXUDM6yugQhZPUNFesoprmP/6A5s29HJQQ\nQrjIZ2ualVLJwDNAK6Cr1rrUucyUUoOByYAV+FBrPdFrQYpqKZ55A+CPNdv47Z1vyJ39M6lvTyE/\ntj6FF7Qitk9Xet8wkLimDQ2O1jtsNhsrUlezbsaPFKavoMaubeTH1IX2HWj01IMk3ThAasKFEEII\nH+ILNc3rgBHAwrI2UEpZgbeAwUAb4DqlVGt3BuGLtTPe5K38W3Royuj3HuXujd9y+c5F1B9/L5Ya\nkWRP+4oF7QfzUVxfpiTdzYwnPmDzyj+w2Wwej8kbue/+Yx//fXkm7139OO+2GckXsT3YOGospzZs\noeYVl9Fn5Rzu2JXC2DmvMmTMFV4dMJv5vW/m3I3kyQsBzVh/abac5bU2R9u+2D8bfqZZa70JQClV\n3mbdgK1a6x3ObWcCVwIbPR2f8JzourW54t6r4N6rADh54iQLdRo7f1zMsf/+QMabU8gATtZriC0h\ngfBWzYnr0Y7Og7pSt2GMscGXoeBUARvSN7EtfQNZazZTtGEz4Xt2EpJ3nLz6cZxu1ozoEYNpO7QX\nbXu0kvmthRBCCD9h+KDZRXHA7hLLe4Du7mwgKSnJnbvzO76Qf0RUBINGD4HRQwBHCcOf67bz+/zl\nHF6xkfwVa9g95wcO3XOIwqia5Netz+mYGKz1zyM8oQF1EuNodGFTmndsRnTd2i63W5ncT57MZ+/W\nTA5sz+TQ1r1kbdhKwbY9WPZnEpZ1iNDcbIrCozgVU5eiho2I7NWVFpf9g66DLvLZm434wrE3iplz\nN1KtWp7bt1HH1Mj3ktlyltfaHG37Yv/slUGzUmo+0KCUh/6ptZ7twi4C82pFUS6r1UrLjs1p2fHs\nK4ZOnsxnbdpadqSv5/jOTAoyD5L3Wwan5mRz5FgOm08c43RwKIWRNTgdGs7psDBOh4VhDwuDiAiI\niMASGYElNARsNuxFNsd3mw2KHN8tNhsUFGDJzcV64jjBeScIzj+BteAURWERFIVHUlSjFkXnnUdw\n43hqXdyF+M4XcGHvtkTXkzmThShLgF57LoQwAa8MmrXWA6u5i71AQonlBBxnm8uVlpbPd/1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Of3AHdHxLPADcC8POZQxq6Kax/wQkR0AAPAbElbASQdiYhO4C1gu6Q9JeN8CFyX+xUN645iRNwM\nbJD0QYNjk4EDkkr/b0TEJGA2aRs8awFOmm3ckXRJg7YlhbfXl5y3irSSvNGxT4DpJyE8M7NTkqSB\niLgFeBn4hVRA+J60zz2SjkbEQuANYBkpCX2P40nnUtJUiYdJCwa7CmP3Nxu7gWOLCPO5C4CVpGr4\nIPAmsLXQfy1wP3Bfk4+4DuiJiEmS/gWIiEdIO1xMywn5KyfwIKx2SR1lx8jzrmsi4g7StJNDkraQ\nfnRsOt32y25lZwwOunhmZmZmJy4i1gB7atvKjWEc00hJ+GRJ/zTptxz4c6SeCBgRc4AHgL+BdyV9\nXTgm4H1J6/L7bcAiPxGwdbjSbGZmZsM15oul83Z2T5D2bi5NmAEkPTPC4fQDe4DDdQnzYuBpYFFE\nXClpp6S5IxyLnWROms3MzGy4jk2jGAv5gSx/kPZwnj9WcdRI6iHN7a7XS9rO9EeqFwfaKcrTM8zM\nzMzMKviJgGZmZmZmFZw0m5mZmZlVcNJsZmZmZlbBSbOZmZmZWQUnzWZmZmZmFZw0m5mZmZlVcNJs\nZmZmZlbBSbOZmZmZWQUnzWZmZmZmFf4H5KsKd9GQEMcAAAAASUVORK5CYII=\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='bottom');\n", "figureMagic([-80, 0], 10, 1, [0, 80], 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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KMmrIvfladHzz2ghmz9nK3obVuK/qBb6d8cMVE9D8utwYO7XYiYiIiIiI7Y2f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\nS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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", " [ 0.29968151 0. -0.01756681 0. -0.26482216]\n", " [ 0. 0.32919862 0. 0. -0.24341605]\n", " [ 0. 0. 2.75267983 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 0.02219369 -0.26000209]\n", " [ 0.49975909 0.99903645 0.99710991 0.00739932 -0.7967304 ]\n", " [ 0. 0. 1. 0. 0. ]]\n", "ABCDc: \n", "[[ 0. 0. 0. 0.04440879 -0.04440879]\n", " [ 1. 0. -0.00578297 0. -0.23997612]\n", " [ 0. 1. 0. 0. -0.67004645]\n", " [ 0. 0. 1. 0. 0. ]]\n", "ABCDcs: \n", "[[ 0. 0. 0. 0.16352917 -0.16352917]\n", " [ 0.29968151 0. -0.01756681 0. -0.26482216]\n", " [ 0. 0.32919862 0. 0. -0.24341605]\n", " [ 0. 0. 2.75267983 0. 0. ]]\n", "L0: (array([], dtype=float64), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), 0.044408785610101635)\n", "M: 1\n", "f0: 0.0\n", "form: FB\n", "ntf: \n", "(array([ 1.00000000+0.j , 0.99710991+0.07597258j,\n", " 0.99710991-0.07597258j]), array([ 0.76451466+0.28005204j, 0.76451466-0.28005204j, 0.66846010+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 ]), 0.044408785610101635), (array([-0.17907424+0.18495835j, -0.17907424-0.18495835j]), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), -0.67004645493338744)]\n", "sys_cs: \n", "(array([[ 0. , 0. , 0. ],\n", " [ 0.29968151, 0. , -0.01756681],\n", " [ 0. , 0.32919862, 0. ]]), array([[ 0.16352917, -0.16352917],\n", " [ 0. , -0.26482216],\n", " [ 0. , -0.24341605]]), array([[ 0. , 0. , 2.75267983]]), 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 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]
IPython2.2.0
OSposix [darwin]
numpy1.9.1
scipy0.14.0
matplotlib1.4.2
deltasigma0.1-9
Tue Nov 11 11:46:06 2014 CET
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.8 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]\", \"module\": \"Python\"}, {\"version\": \"2.2.0\", \"module\": \"IPython\"}, {\"version\": \"posix [darwin]\", \"module\": \"OS\"}, {\"version\": \"1.9.1\", \"module\": \"numpy\"}, {\"version\": \"0.14.0\", \"module\": \"scipy\"}, {\"version\": \"1.4.2\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-9\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.8 |Anaconda 2.1.0 (x86\\letterunderscore{}64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", "IPython & 2.2.0 \\\\ \\hline\n", "OS & posix [darwin] \\\\ \\hline\n", "numpy & 1.9.1 \\\\ \\hline\n", "scipy & 0.14.0 \\\\ \\hline\n", "matplotlib & 1.4.2 \\\\ \\hline\n", "deltasigma & 0.1-9 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Nov 11 11:46:06 2014 CET} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "Software versions\n", "Python 2.7.8 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]\n", "IPython 2.2.0\n", "OS posix [darwin]\n", "numpy 1.9.1\n", "scipy 0.14.0\n", "matplotlib 1.4.2\n", "deltasigma 0.1-9\n", "Tue Nov 11 11:46:06 2014 CET" ] } ], "prompt_number": 17 } ], "metadata": {} } ] }