{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "from __future__ import division\n", "import numpy as np\n", "import deltasigma as ds\n", "from scipy.signal import lti, ss2zpk, lfilter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MASH 2-2 cascade\n", "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will simulate here a 2-2 MASH cascade.\n", "\n", "The example is taken from Richard Schreier. The package used here -- `python-deltasigma` -- is a port of R. Schreier's MATLAB Delta-Sigma toolbox, available at: http://www.mathworks.com/matlabcentral/fileexchange. The credit goes to him for all algorithms employed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modulator description" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each modulator in the cascade is described by the ABCD matrix:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ABCD1 = [[1., 0., 1., -1.],\n", " [1., 1., 0., -2.],\n", " [0., 1., 0., 0.]]\n", "ABCD1 = np.array(ABCD1, dtype=np.float32)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each quantizer has 9 levels.\n", "\n", "We need to describe the modulator in terms of its ABCD matrix:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ABCD = [[1, 0, 0, 0, 1, -1, 0],\n", " [1, 1, 0, 0, 0, -2, 0],\n", " [0, 1, 1, 0, 0, 0, -1],\n", " [0, 0, 1, 1, 0, 0, -2],\n", " [0, 1, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 1, 0, 0, 0]]\n", "ABCD = np.array(ABCD, dtype=np.float_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The modulator will have two quantizer, each of them having 9 levels, or slightly more than 3 bit. For this reason `nlev` is set to an array." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "nlev = [9, 9]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transfer functions\n", "\n", "We can now calculate the transfer functions associated with the modulator.\n", "\n", "Notice there will be 6 of them, **4 NTFs**:\n", "\n", "1. $NTF_{0,0}$: from the quantization noise injected by the 1st quantizer, to the output of the 1st DSM.\n", "2. $NTF_{1,0}$: from the quantization noise injected by the 1st quantizer, to the output of the 2nd DSM.\n", "3. $NTF_{1,1}$: from the quantization noise injected by the 2nd quantizer, to the output of the 2nd DSM.\n", "4. $NTF_{0,1}$: Theoretically it also exists a transfer function from the quantization noise injected by the 2nd quantizer, to the output of the 1st DSM. Since the signal connections between the blocks are unidirectional, the noise added downstream cannot affect the signals upstream, and this transfer function will be null.\n", "\n", "And **2 STFs**:\n", "\n", "1. $STF_0$: From the signal input to the output of the 1st DSM.\n", "2. $STF_1$: From the signal input to the output of the 2nd DSM." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/lib/python2.7/site-packages/scipy/signal/filter_design.py:1055: BadCoefficients: Badly conditioned filter coefficients (numerator): the results may be meaningless\n", " \"results may be meaningless\", BadCoefficients)\n" ] } ], "source": [ "k = [1., 1.]\n", "ntfs, stfs = ds.calculateTF(ABCD, k)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Noise transfer to the first output " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NTF_00:\n", "\n", " (z - 1)^2 \n", "-----------\n", " z^2 \n" ] } ], "source": [ "print \"NTF_00:\\n\"\n", "print ds.pretty_lti(ntfs[0, 0])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NTF_01:\n", "\n", "0\n" ] } ], "source": [ "print \"NTF_01:\\n\"\n", "print ds.pretty_lti(ntfs[0, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Noise transfer to the second output" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NTF_10:\n", "\n", " (z - 0.5) \n", "-2 -----------\n", " z^4 \n" ] } ], "source": [ "print \"NTF_10:\\n\"\n", "print ds.pretty_lti(ntfs[1, 0])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NTF_11:\n", "\n", " (z - 1)^2 \n", "-----------\n", " z^2 \n" ] } ], "source": [ "print \"NTF_11:\\n\"\n", "print ds.pretty_lti(ntfs[1, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### NTF pole-zero plots" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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cNhN9bfzfM554f4oI/zh0C+uOpeJhbT2/wQkM5YnWhJQnaABKQG4XVuBvOy7h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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(20, 6))\n", "subplot(131)\n", "title(\"$NTF_{0,0}$\")\n", "ds.plotPZ(ntfs[0, 0], showlist=True)\n", "subplot(132)\n", "title(\"$NTF_{1,0}$\")\n", "ds.plotPZ(ntfs[1, 0], showlist=True)\n", "subplot(133)\n", "title(\"$NTF_{1,1}$\")\n", "ds.plotPZ(ntfs[1, 1], showlist=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signal transfer functions" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "STF_0:\n", "\n", " 1 \n", "-----\n", " z^2 \n", "\n", "\n", "STF_1:\n", "\n", " 1 \n", "-----\n", " z^4 \n" ] } ], "source": [ "print \"STF_0:\\n\"\n", "print ds.pretty_lti(stfs[0])\n", "print \"\\n\\nSTF_1:\\n\"\n", "print ds.pretty_lti(stfs[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### STF pole-zero plots" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+fl229/f373Z56zbe3t4oKioCABQWFsLLy8s8iRIufX+tGM/vu4KXbh+HqcFd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\nN6fmJcw3NKUHf7osm1+9vZ2Nh8p98j2cfPxKbh3T7PHwwNv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(13, 4))\n", "subplot(121)\n", "title(\"$STF_{0}$\")\n", "ds.plotPZ(stfs[0], showlist=True)\n", "subplot(122)\n", "title(\"$STF_{1}$\")\n", "ds.plotPZ(stfs[1], showlist=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Compensation of the quantization noise\n", "\n", "Overall, the outputs $V_1$ and $V_2$ are given by:\n", "\n", "$$V_1 = u\\,z^{-2}+(1 - z^{-1})^2\\,e_1$$ \n", "\n", "$$V_2 = u\\, z^{-4} -2 (1 - 0.5z^{-1})\\,z^{-3}\\,e_1 +(1 - z^{-1})^2\\,e_2 $$\n", "\n", "It can be shown that, combining $V_1$ and $V_2$, multipliying each of them repectively by:\n", "\n", "$$M_1 = z^{-3} - 2z^{-4}$$\n", "\n", "and\n", "\n", "$$M_2 = (1 - z^{-1})^2 $$\n", "\n", "and then summing the result, gives an overall output $V_{OUT}$ with expression:\n", "\n", "$$V_{TOT} = M_1V_1 + M_2V_2 = u\\,z^{-4} + (1 - z^{-1})^4e_2.$$\n", "\n", "The terms in $e_1$ do not appear in the above equation as they cancel out, the second modulator allows for the compensation of the quantization noise introduced by the first. Overall, as it can be seen by the above equation, the system provides fourth order noise shaping by employing two second order DS loops.\n", "\n", "We briefly verify that numerically:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The quantization noise cancels out: True\n" ] } ], "source": [ "def zpk_multiply(a, b):\n", " za, pa, ka = ds._utils._get_zpk(a)\n", " zb, pb, kb = ds._utils._get_zpk(b)\n", " pa = pa.tolist() if hasattr(pa, 'tolist') else pa\n", " pb = pb.tolist() if hasattr(pb, 'tolist') else pb\n", " za = za.tolist() if hasattr(za, 'tolist') else za\n", " zb = zb.tolist() if hasattr(zb, 'tolist') else zb\n", " return ds.cancelPZ((za+zb, pa+pb, ka*kb))\n", "\n", "v1n = zpk_multiply(ntfs[0, 0], ([2, -1], [1, 0, 0, 0, 0]))\n", "v2n = zpk_multiply(ntfs[1, 0], ([1, 1], [0, 0], 1))\n", "ntf_eq = zpk_multiply(ntfs[1, 1], ntfs[1, 1])\n", "# compute v1n/v2n and check that it is equal to -1\n", "res = zpk_multiply(v1n, (ds._utils._get_zpk(v2n)[1], ds._utils._get_zpk(v2n)[0], 1./ds._utils._get_zpk(v2n)[2]))\n", "print \"The quantization noise cancels out: %s\" % (int(ds.pretty_lti(res)) == -1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The improvement in the NTF of the cascaded system may be better visualized plotting the spectras:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SS/Y///lPlcdNmjTJPvTQQ9ZaaxctWmSPPfbY2j1xLT355JN27NixVda/8847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\nUvKuf2VlZY2e29SpU1m1alWD69esWUNlZSUlJSW1znvFihXV/dz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mdhJR8nexu2+ILe8C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\nIiIiIiIiIpIAquQREREREREREUmA/wfg7l2I5nKe7QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16, 6))\n", "subplot(121)\n", "ds.figureMagic(name='$NTF_{0,0} = NTF_{1,1}$')\n", "ds.PlotExampleSpectrum(ntfs[1, 1], M=31)\n", "ylabel('dBFS/NBW')\n", "subplot(122)\n", "ds.figureMagic(name='$M_1NTF_{0,0}+M_2\\left(NTF_{1,0} + NTF_{1,1}\\\\right) = NTF_{0,0}^2$')\n", "ds.PlotExampleSpectrum(ntf_eq, M=31)\n", "#ds.PlotExampleSpectrum(ntfs[0, 0], M=31)\n", "tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numerical simulation of the 2-2 cascade and SNR improvement" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Previously we simulated the NTF of a single modulator and the *expected* equivalent NTF when the two outputs are filtered and combined. Here we simulate the cascade of modulators with the ABCD matrix, computing their outputs $v_1$ and $v_2$, which are then numerically filtered and combined. Lastly, we check that the SNR improvement is as expected.\n", "\n", "Notice we needed to scale down the amplitude of the input sine since a sine wave at -3dBFS was pushing the modulator to instability." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The filtering transfer functions $M_1$ and $M_2$ need to be expressed in terms of coefficients of $z^{-1}$ to be passed to `scipy`'s `lfilter`.\n", "\n", "The coefficients are:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "filtM1 = [0., 0., 0., 2., -1.]\n", "filtM2 = [1., -2., 1.]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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00kvR6XTce++9dO3atdJ6F8oozedjX5gLicQvcEnsApvEL3BJ7AKbxK/2+Rt7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823/0xFPszSwgUJ9NEXVs4Ao0ctHII6R2x7u7D442N4qrGS3gBZ8gqDhJ8zaSWrgLz/TBBOb/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y36ubcd6Wsv85F289qRvvYyH2k3vb1y5UpuuummdjMfaYt+na2dCMUw4jOGjwya\npn0E3Krr+vK4/p8Ak+KqNC8BbgCWAguAubquv5vs3gsXLjRmzZoFwOJbnyHzwZ8CsCjvx1x524ts\nTRvIxVNe56+3fMrLBWfxhy3DAPjgA7AuO+wEX54OOxfjvTWqxyfbD3LiJB/sD9S/QDH488q91P18\nHXV9fdzxs1rSVJVTc3L46MAB/jxkCD/p1QslgfjLJk7kmMxM/rl/P+d9+63db1i/MACP7djBLzZu\njOk7VJT8fK7r3Zsnhg1r8jX5+fn2L7LgPkQ/dyP6uRfRzt2Ifu5FtHM3op+7WbhwIbNmzaqXqKoe\nick40TTtfE3TCoCpwAJN095xjG0FHgR+omlagaZpw62h2cAzwAZgY0Nmtx5Og28VrAqEa1BCBmUr\nh7Ehu8shvU/LqZ9E/OQfk5hdgBFlDH6ziMxiePsm8xyfopDq8VAWCtEtSYVmSFylOR5Zwyu0BqKf\nuxH93Ito525EP/ci2rkb0a9jcsT34dV1fT4wP8nYwCT9y4ExLXpgTEqziccI0X91GG9WJaUBT6JT\nDz9xBnPbNnjzL/5oRyAENdG5jR2zjbSnyvjTEyoZHnOiHkUhVTW/w+jh95OMiNGN3C1FVamWNbyC\nIAiCIAiCIHQwjniE90gS8ZgeI8TIz4JkTN6GEqo+spOyeOQRqKu1Jji8DN76DC7eTk7vINmnbOfu\nD4pRHu/P7jyotMyqAaRZhjevCYY34ufj9+CF9hPhbSgfX2j/iH7uRvRzL6KduxH93Ito525Ev45J\npzO88UWrwDS8w5aESJ+0EyNY5Ti3LWfm2CIoBI/Pq40O/WQr+Ay4djO//mIXt1Vs5v3vQcZpOQQN\ng0qrmrMBpFrbEXVvQkpzJKabKLW5fdhdQRAEQRAEQRCEltPpDG8ijMpU8raGCYw4gBKsPDKTcJjO\nTz+Fuv1mhNafE4RjSuyxnBfL6FoEz10J6apKyDCiEV7DoKcV2U1rwj68YcvRt2fDK2sp3I3o525E\nP/ci2rkb0c+9iHbuRvTrmHQ+wxsTtjWPqzYOZ/sYD0qKD45YhDfKe+9Fj3ucUgrWGt0BWyHvoSJ+\nexcEfaapjY/w3ty3L/tnzGjw/t4mRHhT1MPzq9E+aoILgiAIgiAIgtAZ6NSGN5LSfHDDGDZO9mCo\nfhSjNtmVhxXFm24ff/55tL/LlFIAfLVw931QeHtXCvqbY+keDyGgxnonA3PtbVdHOvMpOTn1nuVp\nQoT3h3l5LJk48VBeqVWQtRTuRvRzN6KfexHt3I3o515EO3cj+nVMOp/hTUD5xnFsPMZL2OMHR7Xi\ntozwqmfNw3PlGmprYdmyaL9/TDkA//UM7OwNey+ObpsUicL2ttKYE033/XHjqDr+eLuYFTQtwutV\nVaZkZh7CGyWmvaRKC4IgCIIgCILQ8el0htcIO2xhdQnByi7UFPdk53CVsCeAQvCIzEtJ7YrSdQRf\nfWVQHSkU3buKN08Yxtiv4aSP4MFboiYVIGAZ1UEpKUBsQS4nKR4PI9OjEeSIwT3Kuu7SHj04Ize3\ndV8oCc39DkHWUrgb0c/diH7uRbRzN6KfexHt3I3o1zE54vvwHlEUKN8+goy+3xH29sDwJN/Kp614\n4j8HgQwAjjqmhoFGBrf9ER65CcqyIOQ412tFbQekpEBpaYNbCTnNcKSc1YSMDAz5iy0IgiAIgiAI\nQgel00V442OMZdtHktF/DQBhNRB75hGosLTk86gkt56RxZa7t7BuOCyy6lAFE0wq2+uN+dkYiVKY\n2yuylsLdiH7uRvRzL6KduxH93Ito525Ev45J5zO84diiVeXbRpExYA0KYHj8KEeojnDYMPjVhm1s\n/jzF7pueUcreV/fy6C+i59WGw3gVJSYym2kZ3ZwmGl6PiwyvIAiCIAiCIAhCS+l8hteJYaU0D7Ai\nvJ4jE+E9GAxy3rffcu+TNQQrzIRjf88Kqn/zHUMfHUpadz9/GTaMs3JzqTUM4nfYzbD23G2q4XVT\nhFfWUrgb0c/diH7uRbRzN6KfexHt3I3o1zHpdGt4nWtZ/eFcfGml+LscMMc8ARSl7SO8n5eWsezZ\nLJRH+9nx5St6fEeXYV3ofkF3dtEdgD21teyrq6tnWDMjhtexHVE8zreSCK8gCIIgCIIgCJ2BI254\nNU27CLgXGA5M0SUZXmsAACAASURBVHV9udV/KvAA4Adqgdt0Xf/IGpsEPA+kAG/run5jU5+nOAxv\nSrgnXfqtt9thNbZoVVtFeP/+vJfdf+5vtwf02s9ZW8oY8s60mPM8ikKtYdQ3vF4vDw0ezEnZ2Umf\nMSUzk68OHgRosLhVeyM/P1++bXMxop+7Ef3ci2jnbkQ/9yLauRvRr2PSHlKaVwHnA58QG4jcB5yt\n6/pY4ArgJcfYk8DVuq4PBYZqmnZ6Sx4cCHUjvfdGwNwf1lC9bR7hra6GV34X3TKIkQe4MXc1r12p\nEOgVm2KtKgo11hpeJ119Pm7u14/xGRlJn/P40KEsnzSpVecuCIIgCIIgCILQnjniEV5d19cBaJoW\n37/S0VwDpGqa5gO6ARm6ri+1xl4EzgPebdIDg3X2YUoozza8AIYSvzq2dTAMg48PHGBmTk5Mf204\nzIsvQ/l+87lZvYJMOfNr0v9p8P759efiIVq0KsKKSZMY16VLo3NQFcWVqczyLZu7Ef3cjejnXkQ7\ndyP6uRfRzt2Ifh2T9hDhbQoXAMt1Xa8D+gA7HGOFVl+T8OzdBpihZH8oj/Rem+wxQ431/62V0rym\nspKTvv66Xv9la9dy/RNldvvkiw/ws78aPDQHDE99c6oqCjVxKc3jMzJQXGhkBUEQBEEQBEEQDjdt\nEuHVNO19oGeCoTt1XX+rkWtHAb8DTm2NuXh2mQY3TDfCioo/swgARVEwFO9h2ZYoZDnn6lCIFE80\ncvvN/irqvsm02xdsL+Cz4+C74ZBoNa5HUagNh10ZqW0pspbC3Yh+7kb0cy+inbsR/dyLaOduRL+O\nSZsYXl3XW2RWNU3rC/wd+JGu61us7kKgr+O0vlZfg0R+gb27zBTmIIMp9tcS8Y5lZWUYPWLTiCMR\n3sgm1JG/AM1tf/zllwDsq6ujn8djj9es7A11ZpD9mN57yfv0IM88az6zNhiMmTuAOmQItYZBsKYm\n5i9kU+eTc8wxrfI+LW3Hv09bP1/a0pa2tDtLO0J7mY+0m9eO0F7mI+2mt1euXNmu5iNt0a+ztROh\nGG1VirgRNE37CLjVUaU5G/gYuEfX9X/EnbsEuAFYCiwA5uq6nnQN78KFC41Zs2ZhhMN8m5KGWldD\nBZfxSfal3HTXWQAcf/Jynk7bwx0/CPH22rMBeOstOPvsQ3+3BUVFnL1qFV9OmsQkR2GpvMt3s+9v\nPQGDF3t/hfcXKVw6dR8AaapKxQknxNznicJC3ty3jx01NXx37LHNnkdFKMRPv/uOl0eOPKT3aSlK\nfj7X9u7Nk8OGHZHnC4IgCIIgCILQMVm4cCGzZs2qlwqrHonJONE07XxN0wqAqcACTdPesYauBwYD\n92iatsL6080amw08A2wANjZkdp0Ed+9GrasBoIqh7EmJBrgVADVxhPdQKbWitftqa2P6q9aa1Zln\nsJ8enhDll0YTmUMJHq5CwirNTSXd4zliZlcQBEEQBEEQBKGtaQ9VmucD8xP03wfcl+Sa5cCY5j6r\nbssW+7iWQRQHwjHj5hremubetlEihndbTfTe4TBUfpeGjzDXspmBDwylwBcdDyW4jydB0aqOTn5+\nvp2qILgP0c/diH7uRbRzN6KfexHt3I3o1zE54hHetqR282bArNCs0INif6zhDauHZ1uiLVvAt7gb\nX+6tsPs2bIBwhYfzKGSHL4Whl+bifHo4UYTXKlrlVsM7KCWFk7ITleMSBEEQBEEQBEFofTqp4c0m\njEKNJ2oqFcwIr5PWSGn+x4IQD53Si7o7RzPvvH4UF5v9y5dDJnVcynb0Mb1RFGKqL4cT3MuDmdLs\n1irNm6dORcvLa9Y18i2buxH93I3o515EO3cj+rkX0c7diH4dk05leCMpzSH6UpwoaVj1oiitV8Qr\nFILLfhoiVGN+zNXbUnjgd+b9ly+HS9jOp3TDM9Ucb8zIehSF2k6W0iwIgiAIgiAIgtBSOpXhjUR4\ng/RnJwHIHoKhRBOJw3Efx6FGeD/4ACp3+WP6XnjRXL+7flENZ7GLFxnA0eNN892Y4XV7SnNLaKjE\nuND+Ef3cjejnXkQ7dyP6uRfRzt2Ifh2TTml4Q/RlEzmoXY+muO8swEppVr0otF6Ed8GC+n379igs\nWwYjlm/jHXqynxTGTzSf2ZiR9YBEeAVBEARBEARBEJpIpzG84epqgoWFAATpx1p6ArDuxKf4yfR/\nAsREe+HQI7wffRQ97t49erM3H61iRt1eXqY/5NQyYoC5drixklmqohzStkRuRNZSuBvRz92Ifu5F\ntHM3op97Ee3cjejXMek0hrdu2zb7uIZBbCcDRYFgIJtdaf0BK8LbSmt4q6pg7VrzWFEM5syJmlTv\n37byd/pShh+GldMrYKY9yxpeQRAEQRAEQRCE1qPTGF7nlkTQnV2kxIwritKqVZpXrTKLVgH0HhTm\n1FPN435UMJli3qCv2TGijF7+WMOb6Ukc61Vxd5XmliBrKdyN6OduRD/3Itq5G9HPvYh27kb065h0\nQsObSQiDSkxzazhcraF6Wm0N78qV0ePh40KMHQuelDCXsZ2/08d+PiPK6O7zAQ7D6/XG384eN2h8\nra8gCIIgCIIgCILQiQxvnV2wqicHCQIQ8Y0R+xhWEhvNlrBiRfR4wnjw+WDE4ANMpYj59LHHXjy/\nD17V2pbI6stOYngjYjW21rcjIWsp3I3o525EP/ci2rkb0c+9iHbuRvTrmHQew2sVrAqTR1GC1zar\nNLde0Sqn4Z01xYzgXlK3g7foTQVmmwEVZOdEz4tEeE/OzsaXIIobGd9cXd3yiQmCIAiCIAiCIHQS\nOo3hDe7eDUCIHuwlAJgRXqenNZTWKVoVCsE330TbEycqVO+oZtKOA9G1uwBTi2LSkyOG9pf9+1N7\n4on17qta4/NGjDjkOboFWUvhbkQ/dyP6uRfRzt2Ifu5FtHM3ol/HpPVyeFuIpmkXAfcCw4HJuq5/\nZfVPAZ62TvMAv9V1/TVrbBLwPJACvK3r+o2NPSe4Zw8AYXpQSJeYMUVRwDAIq61TtOq77wyqqkxz\nmp4XJC/Py4abCijU0vB9rMAWICUEZ+7Gpwyxr4uY32Qpy5H+PGvNryAIgiAIgiAIgpCc9hDhXQWc\nD3ySoH+SrusTgO8Bj2uaFvF8TwJX67o+FBiqadrpjT0kZBneED3YRm69cQVAaZ2iVYuWh+3jAaPr\nqN1Xy54X91B4TSZXv7aLPz9fCy8uhf6VCSO8yYpSKVZ/VpI1vh0RWUvhbkQ/dyP6uRfRzt2Ifu5F\ntHM3ol/H5Ig7J13X1wFomhbfX+VopgKluq6HNE3rBWTour7UGnsROA94t6HnhEpKAAjTnW10Beqn\nNBNnNFsa4V26PHrhqHEGO5/aSbcfdINefkKhOm4csIg8n4+9dbHmNuLmk207VGntc+RT28P3FIIg\nCIIgCIIgCO2bdu2cNE2bomnaamA1MMfq7gPscJxWaPU1iZDSlf3xe/BaPw3DaJU1vEsXRw3ruLFB\ndj6xk3439yOgquyurQWilZid5jVidJMZ3rLIxr6dCFlL4W5EP3cj+rkX0c7diH7uRbRzN6Jfx6RN\nIryapr0P9EwwdKeu628lu86K4o7SNG048K6mafmHMg8DMIwcivEDsQHd1trZtqoKVq+Imthj9xaR\nPjad9FHpBAqKqbBMa2SvXed63UYNbzDYSrMUBEEQBEEQBEHo+LSJ4dV1/dRDvH6dpmmbgCGY0V1H\nqWP6YkZ5G8UgA9Q6asMeRx+UlJRQl+h8K9gb+bYnktffUHvZMgjWWYa130ECL+6l5MdV5OfnExg6\nlFLLtFaWlwMQNAz7+u6TJwPw+aef4k9w/wumT6c6HG7WfNzenjlzZruaj7RFv87UFv2kLW1pS7v5\n7QjtZT7Sbl47QnuZj7Sb106EYhzKZrOtiKZpHwG36rq+3GoPBHbouh7UNG0A8CkwWtf1Mk3TlgA3\nAEuBBcBcXdeTruFduHCh0fOUUwgygJLAHzipxlwvfN55cO2zxTxUUEBNOMw9Awfy+MwPePObiwDQ\ndbjooua9x/33w113mccTj93I3LIipq+egqIo/HXXLh4vLOSrgweZmpnJF2VlfDx+PCdkZwOwrqKC\nEcuWUXvCCbJOVxAEQRAEQRA6MaqqMmfOHP70pz8B8Kc//YmKigruuece7r33Xp555hm6d+9OdXU1\nJ510Eo8//jhz5sxh4MCB3HijuYnNaaedRv/+/fm///s/AG655Rb69u3LzTff3OJ5PfXUUzzxxBN4\nPB5SUlJ46qmnGDduXMw55eXlnHDCCXZ7x44dXH755Tz88MNNfs6WLVu45JJLKC4uZtKkSbz00kv4\nHLvVLFu2jGnTpqHrOj/4wQ9YuHAhs2bNqpcqe8RdlaZp52uaVgBMBRZomvaONXQ8sFLTtBXA68A1\nuq6XWWOzgWeADcDGhsyukzBdIVBpt2NSmhOkETf3u4DvKiv5n38V2+0L9u+l+w297XunqSr762Jj\nyXWOhzSW0twZaejbGqH9I/q5G9HPvYh27kb0cy+inbtpb/r5/X7mz59PUVEREOtXFEVhzpw5rFix\ngjVr1rBq1So+/vhjjjvuOBYtWgRAOBymqKiINWvW2NctXryYGTNmHNK8LrvsMr755htWrFjBnXfe\nyS233FLvnIyMDFasWGH/GTBgABdccEGznnP77bdzyy23sGHDBnJycnj22WftsVAoxO23387pp59O\nYwHc9lCleT4wP0H/S8BLSa5ZDoxp7rPC5BJOqYayaF/8B3Qo2xLtr64j/G0mAD2oYtSeWnpf1sMe\nH5iSwvaaGrv94ODBTMvMtNuq9UusiuEVBEEQBEEQhE6Nz+fjmmuu4eGHH+a+++6rNx7xMdXV1VRX\nV5Obm8uwYcPs6O3q1asZPXo0u3fv5sCBA6SmprJ27VomTpx4SPPKyMiwjw8ePEi3bt0aPH/9+vXs\n3buX4447DoB9+/Zx3XXXsX37dgAeeeQRpk+fXu/dPvroI1599VUArrjiCu69916uvfZaAB599FEu\nvPBCli1b1uh8j7jhbUvC5BBOr7XbEV9pV2kGlIGnwTdWu5ned9MaFSrMj/Sc1B28/z04p0s07H50\nWpp9bBgGc/r1a+YbdD4iefmCOxH93I3o515EO3cj+rkX0c7dtEf9Zs+ezdixY/nlL38Z028YBg8/\n/DDz5s1j27ZtnHnmmYwdOxYAr9dLQUEBixcvZtq0aRQWFrJ48WIyMzMZM2YMXm99C3jCCSdQbtUY\ncvLggw9y8skn1+t/4okneOihh6ioqLAjysl49dVXueSSS+z2jTfeyM0338yMGTPYvn07p59+ekwU\nGqCoqIjs7GxUa5lnnz59KCw0yzYVFhbyz3/+kw8//JBly5YlzNR10skMb1fCXWoSjkU+JiUlq8X3\nX7HYLIblJcyZoT3ccC485hAgx5FzLgiCIAiCIAiC0BAZGRn8+Mc/Zu7cuaSmptr9kZTmOXPmEAwG\nufDCC3nttde4+OKLmT59OosWLWLRokXMmTOHwsJCFi1aRFZWlh1ljeeTTz5p1rxmz57N7NmzeeWV\nV7jqqqv46KOPkp772muvMW/ePLv9wQcfsHbtWrtdXl5OZWUlaY7gYEPcdNNN/O53v0NRFAzDaDSl\n+Yiv4W1LwuQQ9OyO6WvNkl3ffGF+f3Ac+9nb00dB/1a8eSelva2lEJqH6OduRD/3Itq5G9HPvYh2\n7qa96nfTTTfx7LPPUlFREdMfMXper5fTTz/dNq0zZszg888/Z9WqVYwZM4apU6faBjg+dTjC8ccf\nz4QJE+r9WbhwYYNzu/jii/nqq6+Sjn/99dcEg0EmTJgQM+8lS5bY63sLCgpIS0vj9NNPZ8KECVxz\nzTV069aNAwcOEA6HAbPoVd++5kY9y5cv55JLLmHQoEG8+eabzJ49m3/9619J59CpDK9BBsH06F62\ndkqzdRBvfpub0rz2KzPC+312svXCjEbOFgRBEARBEARBaJicnBw0TePZZ5+N+haHUTEMg88++4wh\nQ4YAMH36dP7973/TtWtXFEUhJyeHAwcOsHjx4qSG99NPP40pMhX5M2vWrHrnbty40T5esGCBnUqd\niFdeeYVLL700pu973/sec+fOtdsrV64E4N1332XFihX85S9/AeCkk07i9ddfB+CFF17g3HPPBWDz\n5s1s2bKFLVu2cOGFF/Lkk09yzjnnJJ1DpzK8YTKpSw8lHLNTmltYL6qkBHZt9dCPCgZQyeTru7En\nyS9UMromyKfv7LTHtRRC0xH93I3o515EO3cj+rkX0c7dtDf9nGtTb7nlFvbv3x8z9vDDDzNhwgTG\njBmDYRjMnj0bgNGjR1NUVMTUqVPt88eOHUt2dja5ubmHPK/HHnuM0aNHM2HCBB599FGee+45e8wZ\nyQV4/fXX+eEPfxjTN3fuXL788kvGjRvHqFGjbIMbz+9//3seeughhg4dSklJCVdffXWL5tupHJah\nZmD0HmK3FaXhlObmRHhXrDB/nsFu/pOTww+zfeT5/cnvnaAv2+fDaGd/0QRBEARBEARBaHvKyqJb\ny+Tl5cWkNN9zzz3cc889Ca/zeDyUlpbG9DlN6aHyyCOPJB1bETFFFps2bap3TteuXe3qyw0xaNAg\nlixZ0uA5TXmvThXhNcgknO6p129XaTaMFkd4ly8HlTCnsod3x6TQxVP/OQB/GzGiZQ/opLTXtRRC\n0xD93I3o515EO3cj+rkX0c7diH4dk05jeA0UwuEMwunRoLbT3Cbyuc2J8H7zDUyihH0E2D6xjvQk\nhvfSHj0S9guCIAiCIAiCIAitSycyvGmoniqISzOO97QtjfBu2gSnsYf/0BP6V5KRxPAKzaO9raUQ\nmofo525EP/ci2rkb0c+9iHbuRvTrmHQiw5uJx1+OoabUG7NTmuOvaUaEd9fGIMdSxIfkQa+qBtfv\nOp8pCIIgCIIgCIIgHB46jeENk4E3tRw8AbsvJqXZarQkwltRAaP27WU5OZR5PNC9Br/aaT7aw4qs\npXA3op+7Ef3ci2jnbkQ/9yLauRvRr2PSaVyZQRa+zDIMNRDb39zNdhOwZQucxm7eoyf0rIYmZDMf\n+lMFQRAEQRAEQRCEhjji2xJpmnYRcC8wHJis6/pXceP9gTXAPbquP2j1TQKeB1KAt3Vdv7Gx53h7\n5KJklUHlXrsvEs091JTmLYur6EcVS8mFXgeadpHQJGQthbsR/dyN6OdeRDt3I/q5F9HO3Yh+HZP2\nEOFdBZwPfJJk/CFgQVzfk8DVuq4PBYZqmnZ6Yw9JP6YPvjEzUY46K+F4xPS2JKW57N/7+IxuhFAZ\nMMjgk/Hjm38TQRAEQRAEQRAEoVU54oZX1/V1uq6vTzSmadp5wGbMCG+krxf8f3t3HiZVeeZ9/Nvd\nNNDsIirIqkiMiruo4xJ10EQzo9EYb/XVcYlmzDhxyaLjltHMvPOOmYlGMa9eUTNqTKLexmg0Lolp\nZdTRgCCgEYyCooCggCwiNNBdNX+cp+B0dXdVddPbU/37XBcXdZ6z192nTt31LIeB7j49FP0cOLno\njqqHUD1mHPQf3qi4UCVuqTW8NX9azvPsAMDwcQ0cOWRIaStKUepLETfFL26KX7wUu7gpfvFS7OKm\n+JWnLm/S3BIzGwBcCRwLXJGaNRJYnJpeEsoKatjUj94DG3eu3dKkuaJiS3bb2hreDQs30Hd1HbNJ\nktwho+uLrvPoXnuxS01N63YkIiIiIiIirdIpCa+ZPQsMb2bWNe7+RAur3QD82N3Xm9k2P8Uns7Ev\nVQOqCtbatqUP7/KHlzOz3zAym5LK8u3GFE94T95hh+IbFkB9KWKn+MVN8YuXYhc3xS9eil3cFL/y\n1CkJr7sf14bVDgZONbP/AIYAGTPbAPwGGJVabhRJLW9BdeuqGDSgaQ1vFli5ciWbAUaPbraGN9e8\nIXcRTJ06lU3AYUccwce+nN+tG7tl2aFj6ptdXtOa1rSmNa1pTWta05rWtKY13XHTzaloj8fytAcz\nex74nrvPbGbe9cCn7n5zmJ4GXApMJxnQaoq7P9PStmtra7M7XvMWO11xGn/ctCNnnZWUn3kmnDFl\nBXcvXcrGTIbvjB7NLy8fyv33J/Pvuw/OOaf5bZ7+5pvMeGMF936rF0ev/CsyVMKgzVw2YyG3TJjQ\n9jdCGpk6deqWP2SJj+IXN8UvXopd3BS/eCl2cVP84lZbW8vkyZObVF9WdsXBpJnZKWa2CDgUeNLM\nni5htYuBu4F3gPmFkt2chroSmjTnzSy07LJNmzj4+SyZI3ZIkl2AERuo7yY/IIiIiIiIiPR0XT5o\nlbs/CjxaZJkf5E3PBPZuzX4yG/tQNaAKVm4tyzVphtY/lmin3r054iX46MvDthaOqKOhNQclRelX\ntrgpfnFT/OKl2MVN8YuXYhc3xa88dXkNb2dpqOvdYg1vSzluocrasWurGPs+zO0zeGvhzhtoUA2v\niIiIiIhIt9DjEt60/NrcbDNl+U5/801+sngxY/57IzMOgrffT60wok4Jbzsr1AFduj/FL26KX7wU\nu7gpfvFS7OKm+JWnHp3wwtZ+uxXNZLrN5a6+fDl3LV3KsOc28PJhMH9BauYI1fCKiIiIiIh0Fz0o\n4a0uqUlzKX14N29oYPtXNjLtEFj4XmrGznUatKqdqS9F3BS/uCl+8VLs4qb4xUuxi5viV566fNCq\nzpLZ1IuqfsWbNJdi11frWbV7L9b2aYBl4TeDyizsuFGDVomIiIiIiHQTPaaGt7JPPRWVFU1qePNH\naW40r4UMeJ8XMyw8pg8s7bu1cHgdVGXVpLmdqS9F3BS/uCl+8VLs4qb4xUuxi5viV556TA1vVU19\nk7JcDW9FRcWW7LZok+Ys7PsC/GDaeFi23dbyUesB1KRZRERERESkm+gxNbxVNcUbG+enqunc9eU1\na9iYyTDq9WoqVvdi3rIhjReetApANbztTH0p4qb4xU3xi5diFzfFL16KXdwUv/LU4xLeYk2a0zW8\nj69YwX6vvgrAN/7yF6atXctB9w9iRnYojRpBb78RJn8EKOEVERERERHpLnpcwpu2pUlzC+ss3FDH\nnM8+A2DZpk0sX1fPQXMyzCBpyjzu0iXwH3Pg3umw3WYADVrVztSXIm6KX9wUv3gpdnFT/OKl2MVN\n8StPPSfh7ZcBWh6IKpmXbVTDu1110sW5rqGBT+rredYr2bd+LTPZjj4jNrLneSuTpswDtqa5w3v3\n7pDjFxERERERkdbpMYNWVdZkmpRVVBQepbkqm5S+W1cHWVjw/xtYQg1r6c2ory1mSJ/Gb98L++3H\nQQMHtvOR92zqSxE3xS9uil+8FLu4KX7xUuzipviVpy5PeM3sNOAG4PPAJHd/LZSPA+YBb4VFX3H3\ni8O8A4F7gb7AU+5+WbH9VPVtuWo3neyma3jrMkmSvHBDHTw4mtHvrmMGQ6E6w+ATP2ZQrwGNtjO6\nTx9qqho/61dERERERES6Rndo0vwGcArwQjPz5rv7/uHfxanyO4AL3H0CMMHMji+2k8rwyNyCTZrz\npusyGVhVzbXn9IM7xzOJT3iV7eCkD8kMrmdwXnJbVfSZRtJa6ksRN8UvbopfvBS7uCl+8VLs4qb4\nlacur+F197cAzKyk5c1sBDDQ3aeHop8DJwPPFFqvspmutcnjd3PP322arC5/qw9MmcTsVb3pRz3j\n+Iz5EyvggvfYmKlmUK/Gb9/Q6uqSzkFEREREREQ6XpcnvEXsYmazgDXAde7+EjASWJxaZkkoK6iy\nb5LQNlfD21KT5kUPDdvyeiJrWDCsL4Nv/QufVTawKduLQaka3h+NH09/NWdud+pLETfFL26KX7wU\nu7gpfvFS7OKm+JWnTkl4zexZYHgzs65x9ydaWO1DYLS7rzKzA4DHzGyvth5DRe+mNbj5lbottXau\n7NvAuccuZc6wDXxaXQkNsDGTYXCqhleproiIiIiISPfSKQmvux/XhnU2AZvC69fMbAEwgaRGd1Rq\n0VGhrKBP1q1kfDPlWWD5ihXUA4wY0SQJBqg5dTEjZ6/g8S9Ws64hed7u+s2bGzVpfm/BAhg9Gtja\n/j/3K5Gm2z6d7kvRHY5H04pfT5pW/OKdzpV1l+PRdOumc2Xd5Xg0Xfr07Nmzufzyy7vN8Wha8etp\n082pyBYaxakTmdnzwPfcfWaYHgascvcGM9uVZFCrie6+2symAZcC04EngSnu3mIf3tra2uxuT61m\n7E2n8rOfwYUXJuXnnw8n3Pgxvnw5GzMZLhwxgievHcadd6ZWrswy7IFp+PkbufTJPvyZOgD6Vlby\n9N57c8ycOQDcMWEC3xxZtGW1tNLUqVO3/CFLfBS/uCl+8VLs4qb4xUuxi5viF7fa2lomT57cpPqy\nsisOJs3MTjGzRcChwJNm9nSYdRQwJ/ThfRi4yN1Xh3kXA3cD75CM5FxwwCqAyj5NT7W5Js35Zf32\nXseoJXWwZw2V/bc2XM5v0txLIzR3CH3oxE3xi5viFy/FLm6KX7wUu7gpfuWpywetcvdHgUebKX8E\neKSFdWYCe7dmP5V9k4Q3v0I7N9lSurrjUWvZ53WoOnwAfSs3NFpvQGqQKj2SSEREREREpHvp8hre\nzpJLeNNyOWqhVHXkoevZdw70OXwQNZWNt9E3Na0a3o5RqD2+dH+KX9wUv3gpdnFT/OKl2MVN8StP\nPSjhLT6OcjabZcOGxmXDd9nE59+CAYcNbJTgQuOEVzW8IiIiIiIi3UuPS3iLNWmeO7fx/NEL61k6\nAvoP7U1NqglzJTRJgKX9qS9F3BS/uCl+8VLs4qb4xUuxi5viV556TMZWUWDQqnTd7BtvNF5mxJ/r\nmbdHktymE9wKlPCKiIiIiIh0Zz0mY6usScbnKvQUpiwwZkyqYMKn7Ph6kvDWVFU1TngrKuhVUdFz\n3sAuor4UcVP84qb4xUuxi5viFy/FLm6KX3nqMflaVd+mA1JXVCT9dpPXST3vbbdBVRVQnYHr5zJs\nzibm7gk1XqoFSQAAEpBJREFUlZWNBq2qDOvkkuDu8TRjERERERERyenyxxJ1loo+LZ9quknzl74E\n8+dn2eX1lxmUrafPJxV8MAaqU8ltep2aykrWZzJbEmdpX+pLETfFL26KX7wUu7gpfvFS7OKm+JWn\nHlPDW7HTnkDxJs0AO4/JwqB69pgHG/ftS6Yqqc1tVMMbaoTVj1dERERERKR76jHZWmXvFpo0516n\nyjdkMgDsMQ9qJg3YUt5cDa+aNHcs9aWIm+IXN8UvXopd3BS/eCl2cVP8ylOPSXgrqpMUtbka3oq8\nZ+iurq8HkoR376N35LcTJwIwsk+freuE/5XwioiIiIiIdE89pw9vr4qmZXlFWWBzJsO4P/2JHXv1\n4q/ehcEHD+KkYUmiO6GmJrWumjR3BvWliJviFzfFL16KXdwUv3gpdnFT/MpTj8nWmkt4oWmT5rrQ\nnLlmaQOVvSroM2Jrre5e/ftveT1p4EBACa+IiIiIiEh31eU1vGZ2GnAD8Hlgkru/lpq3D/BTYCCQ\nAQ5y901mdiBwL9AXeMrdLyu2n4JNmlOvcwnvAe/1YuD+AxstN7S6muzRR/PsJ59wYF7CO6RXl7+V\nZWnq1Kn6tS1iil/cFL94KXZxU/zipdjFTfErT92hevIN4BTghXShmfUC7gf+3t0nAkcB9WH2HcAF\n7j4BmGBmxxfbSSlNmr/25pvUrloFwDVrdmDA/gOarANw3NChDK2uBpKEd8puu3Hi9tsXOwQRERER\nERHpRF1eLenubwGYWf6sLwKvu/sbYblVYbkRwEB3nx6W+zlwMvBMof3kEt78Gt78Js21q1eza9++\n9PnzRgacPaTo8V8zdiy79+vXZOAraR/6lS1uil/cFL94KXZxU/zipdjFTfErT12e8BYwAcia2TPA\nDsCD7v6fwEhgcWq5JaGsoMrqppXZuRw1napuzmToW1nJulnrGH/T+KIHedjgwUWXERERERERkc7X\nKQmvmT0LDG9m1jXu/kQLq1UDRwAHARuAWjObCaxpyzG0NGhVvs3ZLNutraB+TT01u9YUX0E6lPpS\nxE3xi5viFy/FLm6KX7wUu7gpfuWpItvcKE5dwMyeB76bG7TKzE4HTnD388L0dUAd8AvgeXffI5Sf\nCRzl7t9sadu1tbXd4yRFRERERESkQ0yePLlJLWd3a9KcPsDfA1eaWQ2wmWTQqpvdfZmZrTWzQ4Dp\nwN8BUwpttLkTFxERERERkfLW5aM0m9kpZrYIOBR40syeBnD31cDNwKvALGCmuz8dVrsYuBt4B5jv\n7gUHrBIREREREZGep9s0aRYRERERERFpT11ewysiIiIiIiLSEZTwioiIiIiISFnqboNWNcvMjgdu\nAaqAu939h80sMwU4AVgPnOfuswqta2ZDgYeAscBCwEK/YczsauDrQANwqbv/oUNPsMxtY/yGkPTX\n3gvIAue7+zQz+0/gb4FNwIJQvsbMxgHzgLfCpl9x94s78vzKWbHYmdnngXuA/YFr3f2mUD4a+Dmw\nI0nc7nT3KWHeDcCFwPKwmWty/fN17bWvtsYvzLsaOBvIAG+QXGMbzexBYPew2BBgtbvvr2uvfZUQ\nu7OAK0kGe/wU+Ad3fz3MWwisJbmONrv7waFc971OUkL8vgL8C8n1lQGucPfnwrz/Av4G+Njd906t\no/teJ2lr/Mxsd+DB1KK7At939ym693WOUr5zhuUmAa8Ap7v7I2bWF/hvoA/QG/itu18dltV9L3Ld\nvobXzKqAnwDHA3sCZ5rZHnnLfBnYzd0nAH8P3FHCulcBz7r754DaMI2Z7QmcHpY/HrjdzLr9+9Rd\nbUv8gluBp8JjqPZh64fKH4C93H1f4G3g6tQ68919//BPHzxtVErsgJXAJcCP8so3A992971IBqT7\nx5BcQZIA35yKUe6Gr2uvHW1L/MJN/BvAAeELdxVwBoC7n5GLHfBI+Jeja68dlBi7d4EvuPs+wL8C\nd6bmZYGjQxwOTpXrvtcJSozfH91933AdnUfj+N0T1s2n+14n2Jb4uftfUp+PB5L8iP9oWEf3vg5W\nYuxyy/0Q2DLorbvXAce4+34k3zePMbMjwjzd9yIXwwV1MMkf00J330zyy9lX8pY5CbgPwN2nAUPM\nbHiRdbesE/4/Obz+CvCAu29294XA/LAdaZu2xm8nMxsMHOnu/xXm1bv7mvD6WXfPhPWnAaM64Vx6\nmqKxc/fl7j6DJMFNly9z99nh9TqSX0BHphZp7lFhuvbaV5vjR1I7uBnoZ2a9gH7AkvQCZlYBGPBA\nBx1/T1ZK7F7JfR7S/Gdgc9eY7nudo5T4fZaaHACsSM17EViVv1Hd9zrNNsUv5VhggbsvSpXp3tex\nSvnOCckPvb9ma207AO6+PrzsTfJD7yfp+brvxSuGJs0jgfSHxWLgkBKWGQnsXGDdndz9o/D6I2Cn\n8Hpn4E/NbEvapq3xG0XStGe5md0D7AvMBC5LfSDlfJ3GHz67mNksYA1wnbu/tM1n0TOVEruiQm3h\n/iRf0HIuMbNzgBnAd0OzSl177avN8XP3T8zsJuADYAPwe3f/Y95iRwIfufuCVJmuvfbR2thdADyV\nms4CfzSzBuCn7n5XKNd9r3OUFD8zOxn4d2AE8MVW7kP3vY7TXvE7A/hVXpnufR2raOzMbCRJEvzX\nwCSSz8vcvErgNWA8cIe7z83bvu57kYqhhrfU5yY196tZc8s02Z67Z4vsR89uaru2xi9L8oPMAcDt\n7n4A8BmhCV6OmV0LbHL33E3lQ2B0aHbyHeBXZjawrQffw23z372ZDSD5FfWyUNMLSZP1XYD9gKXA\nTS2s3i7H0IO1+b0zs/HA5cA4ki9jA0Kf0bQzafxlTtde+yk5dmZ2DEny80+p4sNDHE4g6U5wZP56\nuu91qJLeO3d/LHTXORG4v9SN677X4bY5fmbWO5Q/nCrWva/jlfK+3QJcFT4DK0h9/3T3TGjSPAr4\ngpkdnbeu7nuRiiHhXQKMTk2PJvnFptAyo8IyzZXnmuV9FJo9Y2YjgI8LbKtRUz5plbbGb0lYbrG7\nvxrKf02SAANgZucBXwa2fBF3903uviq8fo1kYI8J7XEiPVApsWuRmVWT9HP5hbs/lit394/dPRtu\nNneztemWrr32tS3xOwh42d1Xuns98BvgsNzM0Mz5FJIBkABde+2spNiZ2T7AXcBJufcewN2Xhv+X\nk/QfnBRm6b7XOVp17YUmzL3MbPtiG9Z9r1O0R/xOAGaGazC3nO59Ha+U2B0IPGhm7wGnkvSZPim9\nQOgu8iTJvRDQfS92MTRpngFMCM0iPyTp2H9m3jKPA98i+QM+lGT0tI/MbGWBdR8HziXptH4u8Fiq\n/FdmdjNJ04gJwPSOObUeoc3xAzCzRWb2OXd/m6Q/zJuh/HjgCuCoMNAAoXwYsMrdG8xsV5L4vduR\nJ1jGSoldTqMa+tDP5WfAXHe/JW/eiNwXcpKbxxvhta699tXm+JEMDvd9M6sB6kiuvXQsjgXmufuH\nuQJde+2qaOzMbAzJDxFnu/v8VHk/oMrdPzWz/iRNLX8QZuu+1zlKid944F13z5rZAQDuvrLQRnXf\n6zTtEb8zyevnqXtfpygaO3ffNfc6dJl7wt0fD9dRvbuvDve+49j62Qm670Wt29fwhtqFbwG/B+YC\nD7n7PDO7yMwuCss8BbxrZvOBnwIXF1o3bPpG4Dgze5ukHf+NYZ25gIflnwYuDr/GSRtsS/yCS4Bf\nmtkcklHz/l8ov41koIhnzWyWmd0eyo8C5oT+FA8DF4U+MtJKpcTOzIab2SLg28B1ZvZBaMZ8OMkj\nbY4J8ZkVvqwB/NDMXg8xPSqsq2uvnW1L/Nx9DsljpWYAr4dNpkeRPZ2mg3Z8AV177aKU2AH/DGwH\n3BGur9wX5OHAi2Y2m6Tf/O986yNOdN/rBCXG71TgjXC93EoYBR3AzB4AXgY+F370PT/M0n2vE7RD\n/PqTJEe/ydu07n0drMTYtWQE8Fzqs/MJd69Nzdd9L2IV2ayuKRERERERESk/3b6GV0RERERERKQt\nlPCKiIiIiIhIWVLCKyIiIiIiImVJCa+IiIiIiIiUJSW8IiIiIiIiUpaU8IqIiIiIiEhZUsIrIiIi\nIiIiZUkJr4iIiIiIiJSlXl19ACIiIrExs4XA1939OTP7M3Cxu7/Qjtu/F1jk7t9vYf7uwEPArsA1\n7v6T9tq3iIhIOVHCKyIi3U5IKGuAXdx9fSi7EDjL3Y/pymMLsrkX7j6xg7afLTD/SqDW3ffrgH33\nWGa2H3C2u3+vq49FRETah5o0i4hId1UJXLatGzGzWH/crSgwbywwt7kZEZ9vm5jZt83s38zsom3c\nzneAfwa2b58jExGR7qBH3RRFRCQaWeBHwJVmdru7r0nPNLM9gDuAfYElwNXu/kRq/kLgduBsYIKZ\nDQAWAD8BzgF2ARy4BrgXOAyYDpzm7qvN7CrgQmBHYBFwrbs/1tyBhn1dAAwD7k7N6g28nKuRNrOd\ngduAI4F1wI/d/bYwb3/gZ8BuwFMUqN01s+eALwCHm9mPgQOBZ/POtz8wvBX7A3gn14TazDLAbu7+\nbpi+l9DEutB5pN6P28L7PBZ4BjjX3Tea2WjgVuAIkh80HnD3S8zsCuAQd/9aajtTgIy7X17gvRgM\nGMkPI5+1tFzeOoe5+8v55e5+s5mtBI4uZTsiIhIH1fCKiEh3NQOYCjRqXhpqMJ8gSaR2AC4Bfmlm\nn8tb/wzgBGCIuzeQJJFfBSYDuwN/CzwNXEWS2FYCl4Z15wNHuPsg4AfAL8xseAvHmQWy7v6Quw90\n94HAziQJ9q/CMVeGY54V5k0GLjezL5pZb+Ax4D5gO+Bh4FRaSHrd/a+BF4F/dPdB7v5O/vmG6dbs\n76st7S99jmZW0dJ285Y9DfgSyQ8L+wDnhffgd8B7JInwSODBsM79wPEhgc3F+PRwjIUcAsx29+nu\n/maRZXMmmtnIFuYVqlUXEZEIqYZXRES6qyxJE9P/MbNbU+WHAv3d/cYw/byZ/Q44kyQ5za07xd2X\n5G3zNndfDmBmLwIfufucMP0oSQKHu/86t4K7u5ldDRwMPF7soENi9wDwvLvfFYonAcPc/f+G6ffM\n7G6SJLUO6OXuuXN8xMxeLbYfGidnjc7XzA7poP0dXGC7f0gtO8Xdl4VjeQLYjyQ5HQFc4e6ZsNz/\nALj7shCP00hqyY8Hlrv7rJYOJpzjZcCHZnaKuz9awjkA3AP8q5n9e37LAQon/SIiEiElvCIi0m25\n+5shmb0KmBeKdyZpZpz2PkmNYVr+MgAfpV5vyJuuAwYAmNk5wLeBcWHeAErv2/lvQH+21hZDUqO5\ns5mtSpVVAS+QJIH5ifn7FK9tzE/O0ufbEfsDGFNgu2nLUq/Xk8RsFPB+KtnNdx/wTZKE92ySWt8W\nufs0M9sA3JKu3TWzccC5Rc6jN/CqmR3h7h+nylXDKyJSZpTwiohId3c98BpwU5j+EBhtZhXunkv6\nxgJv5a1XSm1dkwTHzMYAdwHHAK+4e9bMZjW3bDPrnkHSFHdSaEad8wHwnrvnN7vGzI6iabI+lqRZ\ndWukz3db97ce6JeaHkGSUC9qabslWASMMbOqvPcm57fA7WY2Efgb8pqyt2AP8gbvcveFbK3pb1bo\n+3xUXrILquEVESk7SnhFRKRbc/cFZvYQSfPVOcA0koTsSjO7GTicpD/uDe20y/5ABlgBVIba3qKP\nHgoDQd0GHOvuK/NmTwc+NbMrwzKbSJK1vsDLQL2ZXUoyENeJJE2ga4vsslACvq37mw2cZWbXAceR\nDJI1vdB23X1GkeOcDiwFbjSz60ne4wNyA0i5+wYze4Sk3/M0d19c6OTNbCdgRepHj5KY2ZeBx919\naYFjFRGRMqFBq0REJAb/QqhxdPfNJEnaCcBykpGX/87d327DdrN5r7PuPo+kNvkVkqa5E4GXStjW\nSSQDRr1kZp+Gf0+GY86QJOX7Ae+G474TGBTO56vAecBKklGHH2nlsTfShv39hsbJ3mUk7/Eq4P8A\njxbbbpHjzIZ1TyQZGfoDkhpfy1v2PpL3u2Bz5uAQQh/gVprk7s/nF5rZt4CvA0eb2fVmVuicREQk\nEhXZrFrviIiI9GRmdg+wOPdYoi48jtEkTdN3cvd1LSxzIPAN4BPgodygYyIiIs1Rk2YRERHp8qa8\nYXTr75I8m7fZZDdoABYD65XsiohIMUp4RUREJEsXDthkZv1JRsx+j+SRRC1y99kkfYxFRESKUpNm\nERERERERKUsatEpERERERETKkhJeERERERERKUtKeEVERERERKQsKeEVERERERGRsqSEV0RERERE\nRMqSEl4REREREREpS0p4RUREREREpCwp4RUREREREZGy9L8oQKDzbRkX5wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16, 6))\n", "M = nlev[0] - 1\n", "osr = 64\n", "f0 = 0.\n", "f1, f2 = ds.ds_f1f2(OSR=64, f0=0., complex_flag=False)\n", "delta = 2\n", "Amp = ds.undbv(-3) # Test tone amplitude, relative to full-scale.\n", "f = 0.3 # will be adjusted to a bin\n", "N = 2**12\n", "f1_bin = np.round(f1*N)\n", "f2_bin = np.round(f2*N)\n", "fin = np.round(((1 - f)/2*f1 + (f + 1)/2*f2) * N)\n", "# input sine\n", "t = np.arange(0, N).reshape((1, -1))\n", "u = Amp*M*np.cos((2*np.pi/N)*fin*t)\n", "# simulate! don't forget to pass a list (or tuple or ndarray)\n", "# as nlev value or the simulation will not be aware of the\n", "# multiple quantizers\n", "vx, _, xmax, y = ds.simulateDSM(u, ABCD, nlev=nlev)\n", "# separate output #1 and output #2\n", "v1 = vx[0, :]\n", "v2 = vx[1, :]\n", "# filter and combine\n", "vf = lfilter(filtM1, [1.], v1) + lfilter(filtM2, [1.], v2)\n", "# compute the spectra\n", "window = ds.ds_hann(N)\n", "NBW = 1.5/N\n", "spec0 = np.fft.fft(vf*window)/(M*N/2)/ds.undbv(-6)\n", "spec1 = np.fft.fft(v1*window)/(M*N/2)/ds.undbv(-6)\n", "spec2 = np.fft.fft(v1*window)/(M*N/2)/ds.undbv(-6)\n", "freq = np.linspace(0, 0.5, N/2 + 1)\n", "plt.hold(True)\n", "plt.plot(freq, ds.dbv(spec0[:N/2 + 1]), 'c', linewidth=1, label='V1')\n", "plt.plot(freq, ds.dbv(spec2[:N/2 + 1]), '#fb8b00', linewidth=1, label='VF')\n", "\n", "# smooth, calculate the theorethical response and the SNR for VF\n", "spec0_smoothed = ds.circ_smooth(np.abs(spec0)**2., 16)\n", "plt.plot(freq, ds.dbp(spec0_smoothed[:N/2 + 1]), 'b', linewidth=3)\n", "Snn0 = np.abs(ds.evalTF(ntf_eq, np.exp(2j*np.pi*freq)))**2 * 2/12*(delta/M)**2\n", "plt.plot(freq, ds.dbp(Snn0*NBW), 'm', linewidth=1)\n", "snr0 = ds.calculateSNR(spec0[f1_bin:f2_bin + 1], fin - f1_bin)\n", "msg = 'VF:\\nSQNR = %.1fdB\\n @ A = %.1fdBFS & osr = %.0f\\n' % \\\n", " (snr0, ds.dbv(spec0[fin]), osr)\n", "plt.text(f0 + 1 / osr, - 15, msg, horizontalalignment='left',\n", " verticalalignment='center')\n", "\n", "# smooth, calculate the theorethical response and the SNR for V1\n", "spec1_smoothed = ds.circ_smooth(np.abs(spec1)**2., 16)\n", "plt.plot(freq, ds.dbp(spec1_smoothed[:N/2 + 1]), '#d40000', linewidth=3)\n", "Snn1 = np.abs(ds.evalTF(ntfs[0, 0], np.exp(2j*np.pi*freq)))**2 * 2/12*(delta/M)**2\n", "plt.plot(freq, ds.dbp(Snn1*NBW), 'm', linewidth=1)\n", "snr1 = ds.calculateSNR(spec1[f1_bin:f2_bin + 1], fin - f1_bin)\n", "msg = 'V1:\\nSQNR = %.1fdB\\n @ A = %.1fdBFS & osr = %.0f\\n' % \\\n", " (snr1, ds.dbv(spec1[fin]), osr)\n", "plt.text(f0 + 1/osr, - 15-30, msg, horizontalalignment='left',\n", " verticalalignment='center')\n", "\n", "plt.text(0.5, - 135, 'NBW = %.1e ' % NBW, horizontalalignment='right',\n", " verticalalignment='bottom')\n", "ds.figureMagic((0, 0.5), 1./16, None, (-160, 0), 10, None)\n", "legend()\n", "title(\"Spectra\"); xlabel(\"Normalized frequency $f \\\\rightarrow 1$\");ylabel(\"dBFS/NBW\");" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overall the SNR improved by 48.0339 (!) at OSR=64.\n" ] } ], "source": [ "print \"Overall the SNR improved by %g (!) at OSR=%d.\" % (snr0-snr1, osr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that, as it often happen, it is not immediate to see by eye that the composed signal $v_f$ has better SNR than $v_1$ (or $v_2$).\n", "\n", "In fact, consider the following plot of the signals from which the above spectra and SNRs were calculated:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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cP9tA4Qa5tUIqK3YrtFu9TWrHjvYUtXGMfqTfZE8jQ2+eXvf1wNMTKC5pcpAl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3lIerRWDFQ168Za7eqWEK6nxyNF0L7JCyHwgoaT3tDlBD7aQSEtIz1KFn4VrKIV68ZaDFR1x++P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/h9Zt0FBmUTBPTlo8H9WoPVV1S1m3Qdtrdp6NuVNrXZ93x636cfD2M1sCyiX7zEOfldLdc+4U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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(14, 6))\n", "plot(vf[100:800], label='$v_f$')\n", "plot(v1[100:800], label='$v_1$')\n", "plot(u[:, 100:800].T, 'r', label='$u$')\n", "xlabel('sample #'); legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "This notebook showed how it is possible, in the case of a Noise Shaping Multi-stage (MASH) cascade, to: \n", "* calculate the signal and noise transfer functions, \n", "* simulate the topology,\n", "* filter and combine the outputs and\n", "* evaluate the SNR improvement,\n", "\n", "with `python-deltasigma`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/json": { "Software versions": [ { "module": "Python", "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]" }, { "module": "IPython", "version": "3.2.1" }, { "module": "OS", "version": "Darwin 14.4.0 x86_64 i386 64bit" }, { "module": "numpy", "version": "1.9.2" }, { "module": "scipy", "version": "0.16.0" }, { "module": "matplotlib", "version": "1.4.3" }, { "module": "deltasigma", "version": "0.2.2" } ] }, "text/html": [ "
SoftwareVersion
Python2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]
IPython3.2.1
OSDarwin 14.4.0 x86_64 i386 64bit
numpy1.9.2
scipy0.16.0
matplotlib1.4.3
deltasigma0.2.2
Fri Aug 07 15:49:53 2015 CEST
" ], "text/latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", "IPython & 3.2.1 \\\\ \\hline\n", "OS & Darwin 14.4.0 x86\\_64 i386 64bit \\\\ \\hline\n", "numpy & 1.9.2 \\\\ \\hline\n", "scipy & 0.16.0 \\\\ \\hline\n", "matplotlib & 1.4.3 \\\\ \\hline\n", "deltasigma & 0.2.2 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Fri Aug 07 15:49:53 2015 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "text/plain": [ "Software versions\n", "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n", "IPython 3.2.1\n", "OS Darwin 14.4.0 x86_64 i386 64bit\n", "numpy 1.9.2\n", "scipy 0.16.0\n", "matplotlib 1.4.3\n", "deltasigma 0.2.2\n", "Fri Aug 07 15:49:53 2015 CEST" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#%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" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }