diff --git a/deltasigma/__init__.py b/deltasigma/__init__.py index bafe7a8..fdab7f1 100644 --- a/deltasigma/__init__.py +++ b/deltasigma/__init__.py @@ -90,6 +90,8 @@ version of ``dsexample2.m``. - `dsexample3 `__, Python version of ``dsexample3.m``. +- `dsexample4 `__, Python + version of ``dsexample4.m``. They are also a good means for getting started quickly. @@ -898,7 +900,7 @@ __copyright__ = "Copyright 2013, Giuseppe Venturini" __credits__ = ["Giuseppe Venturini"] __license__ = "BSD 2-Clause License" -__version__ = '0.2.0' +__version__ = '0.2.1' __maintainer__ = "Giuseppe Venturini" __email__ = "ggventurini+github@gmail.com" __status__ = "Stable" diff --git a/examples/dsexample4.ipynb b/examples/dsexample4.ipynb new file mode 100644 index 0000000..31decfa --- /dev/null +++ b/examples/dsexample4.ipynb @@ -0,0 +1,637 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#4th-order quadrature example\n", + "\n", + "Ported from the MATLAB file `dsexample4.m`, written by R. Schreier." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Preliminary code to set-up IPython:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from __future__ import division\n", + "%matplotlib inline\n", + "import numpy as np\n", + "from pylab import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Import the `deltasigma` module." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import deltasigma as ds" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ADC specifications\n", + "\n", + "Specify the parameters of the the ADC design:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "order = 4\n", + "osr = 32\n", + "M = 8\n", + "NG = -50\n", + "ING = -10\n", + "f0 = 1 / 16\n", + "quadrature = True\n", + "form = 'PFB'\n", + "nlev = M + 1\n", + "z0 = np.exp(1j*2*np.pi*f0)\n", + "bw = 1./osr\n", + "delta = 2\n", + "FullScale = M" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "ADC specifications up to now:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "adc = {}\n", + "adc['order'] = order\n", + "adc['osr'] = osr\n", + "adc['M'] = M\n", + "adc['f0'] = f0\n", + "adc['quadrature'] = quadrature\n", + "adc['form'] = form" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Choosing the NTF and realization... " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ntf0 = \n", + "\n", + " (z - 0.888 - 0.4598j) (z - 0.9239 + 0.3827j) (z - 0.9239 - 0.3827j) (z - 0.953 - 0.3028j) \n", + "---------------------------------------------------------------------------------------------\n", + " (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n" + ] + } + ], + "source": [ + "ntf0 = ds.synthesizeQNTF(order, osr, f0, NG, ING)\n", + "print('ntf0 = \\n')\n", + "print(ds.pretty_lti(ntf0))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ABCD matrix: \n", + "\n", + "[[ 0.88803720 +4.59771611e-01j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j\n", + " 0.05160829 +0.00000000e+00j 0.05160829 +0.00000000e+00j]\n", + " [ 0.60725927 +7.94503732e-01j 0.95304475 +3.02829501e-01j\n", + " 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.32296443 +5.55111512e-17j]\n", + " [ 0.00000000 +0.00000000e+00j 0.94589279 +3.24479322e-01j\n", + " 0.92387953 +3.82683432e-01j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.91615063 +9.71445147e-17j]\n", + " [ 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.92387953 -3.82683432e-01j\n", + " 0.00000000 +0.00000000e+00j 0.17778533 +1.38777878e-17j]\n", + " [ 0.00000000 -0.00000000e+00j 0.00000000 -0.00000000e+00j\n", + " -0.99349829 -1.13847053e-01j -0.74054592 -6.72005754e-01j\n", + " 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j]]\n" + ] + } + ], + "source": [ + "ABCD = ds.realizeQNTF(ntf0, form, quadrature)\n", + "adc['ABCD'] = ABCD.copy()\n", + "print('ABCD matrix: \\n')\n", + "print(ABCD)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Calculate the STF\n", + "\n", + "This also recalculates the NTF, which is the same as before." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ntf = \n", + "\n", + " (z - 0.888 - 0.4598j) (z - 0.9239 + 0.3827j) (z - 0.9239 - 0.3827j) (z - 0.953 - 0.3028j) \n", + "---------------------------------------------------------------------------------------------\n", + " (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n", + "\n", + "\n", + "stf = \n", + "\n", + " (z - 0.9239 + 0.3827j) \n", + "-0.0107 ---------------------------------------------------------------------------------------------\n", + " (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "//anaconda/lib/python2.7/site-packages/scipy/signal/filter_design.py:400: BadCoefficients: Badly conditioned filter coefficients (numerator): the results may be meaningless\n", + " \"results may be meaningless\", BadCoefficients)\n", + "/Users/joseph/work/repos/python-deltasigma/deltasigma/_utils.py:338: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " ppstr[1] = \"%g \" % k\n" + ] + } + ], + "source": [ + "ntf, stf = ds.calculateTF(ABCD)\n", + "print('ntf = \\n')\n", + "print(ds.pretty_lti(ntf))\n", + "print('\\n\\nstf = \\n')\n", + "print(ds.pretty_lti(stf))\n", + "# save ADC parameters\n", + "adc['ntf'] = ntf\n", + "adc['stf'] = stf" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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8Cstj7krMafZEMXemHvx0yI8BDwDfy6dT/+tNO/3V/mYQZ9uhcft9usZluC/Q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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figure(figsize=(12,8))\n", + "ds.DocumentNTF(ABCD, osr=32, f0=1./16, quadrature=True);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Time-domain simulations" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/joseph/work/repos/python-deltasigma/deltasigma/_figureMagic.py:111: UserWarning: figureMagic() got xLab=2, but xLab is not implemented and will be ignored.\n", + " 'will be ignored.') % xLab)\n", + "/Users/joseph/work/repos/python-deltasigma/deltasigma/_figureMagic.py:114: UserWarning: figureMagic() got yLab=2, but xLab is not implemented and will be ignored.\n", + " 'will be ignored.') % yLab)\n" + ] + }, + { + "data": { + "image/png": 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yPAHYjGB37EUwQhtRfJ4aYVb0m8xvD42L/XwRmG1mV1U3ZGbTzWzjGn+b1DA+\nAX4HHGpmqwCHxzKEJf5ON7N3gbEN+j4IWNLMPhj7nMbtHyHomehe/GDVOVbMbH1gfeAXkkaU4V7c\nlJeYNE2vLxTvAPIg4l2BC9M0nQ08kyTJk8AWzL/EgOM4jhOoNUjnMaCO4zhOGSnGICqWBTxiZlvX\nqH8esEuM4/wSUCm0cxewqaQlzez1msLMngZ+Jels4BVJSwGTCYZpce32TelsnGFmT0q6nzA5VuSp\nGAO6NHC3pM3ibGPHiYUZ0FuoHau6V8EdOGcLM/tY/H4p8Nt8O/BZSacCywCfkjTDzM6qOn4qcHns\n912S5kpaJu9OjT50wsyelvQSsE5XdVtBK2Yf9wfykYMVCQrMmUrHCIizgJTBh7usuG4a4/qpTwl1\nM7DGNo8BLSmun/q4bpye0N9iM/tpDOjtwCqSPhjLexGMtMeAD+TbJQ2WlM90jgRelDQY2IfOBt01\nwA+Bv0dX1XmYWSbpk4VN4wmJhV4HfgwcLWnVKG814EjgzEL93Gg7iY7Y0E6Y2WuE2cqTa+ybbmYb\n1ZkFrTY+AZ6UtG38/lGChyhmto2ZjTWzsbHfJ9UwPgGuiMcREwoNNrNXCW7Ae8XtE4ANqo5T3Lcs\nYYb12TLcixf6JSZJkuuB5WvsOiZN0ytjnWOBWWma/qlBUw2zXMUp9iz/Dh3/SF72spe93N/LYLUG\nCgeXpX9e9rKXe6c8adIkHKcf8BjwVUnnAI8Av7SQtfVzwJmSRhPsj9MJM5XfIXhLvhI/i4ammdll\nCrONf5W0o4UYz5x9JJ0GvEswPvc2MwMekHQkcKWkxYDVgM+b2V3FtqOAyZLuATau3hf3XyHpeElb\nmNmdPdDLwQQX2MWAGbHcEIVZ3V+Z2T3AOcA5kh4i5Nj5Uqz2S+BcSZOBR4G7q5q5UdIcgvvxkRaT\nFzUDacJOMOZQGDUUpr83aVJNuz7UDb9T75Mkyb7AQcDENE3fi9uOAkjT9IexfA1wXJqmd9Rq44Yb\nbrCJEyd2Oa28qCJ1GOdOZ1w3jXH91KdsupH4MvOnif+iGX/om/6USz9lw/VTH9dNY9rxnaeVfW7V\n9dPf5LRSlqTPA8daiDlstqxun5OkHxAy2e5lZu83S05PaedrLxifW50BZ68RJmWvY9Kk7ah3f2hW\nFtwdCAGy2+bGZ+SvwJ+SJDmN4Hq7JtCT0QTHcZz+jseAOo7jOO1Cc2a2eoCZHd3Xfej/jDm0w/i8\nluDZfEMLFL9tAAAgAElEQVTd2s2KAf0ZYQr9+iRJ7kuS5CyANE0nE7I2TQauBg5J07R0F2q74CPJ\n9XHdNMb1U58S6mZgjW0eA1pSXD/1cd04PaFV109/k9NKWWZ2kZlVxyA2S1bWn+S0UlZz5IwaGj6v\nIxifjWlWFtw1G+w7mRrBvI7jOE5NasaAtrwXjuM4juM4NZkePV67Z1r6GpxtTEeSEqca101jXD/1\nKaFuSjUDWkL9lArXT31cN05PaNX109/ktFJWX5+TpOUknSHpAUn3SDpb0sq9Lae3kbSppIckTZV0\nRp06W0i6L/49KKl66Zi83r6Sfha/Hx/bvE/So5LOUqDSe32fsJO04zUwZ0XY/92QC6pr3AB1HMcp\nNx4D6jiO4zgNkDSOEN53C7CpmW0KXAj8WdLqfdq5rvklcABhGZo1Je1Qo85DhPPaGPg4IaNurQHq\nIgacFo9ZF1gf2LbxIV2TG53Sxx+ELS6Bqz8B160P+w6HO96D/Wd11YYboG2Mx9PUx3XTGNdPfUqo\nm1oPmD5zwS2hfkqF66c+rhunJ7R3fFzfyWmlrD4+p7OAL5rZpXmmWzP7B8Go+0mtNuKM4F2SHpZ0\nfGH7M5JOlnQf8GNJm0i6TtKTkr4c61Qk3Szpb5KmSPqlpAXOCC1pBWCUmd0Zz+n3wG41zneGmc2N\nxWHAm2Y2J7axn6THJN0BbF0tIn4OjX/TevI7dWS7vfoTsMX6cM7wjr3bANcPhScfhJ2uadSOG6CO\n4zjlptZ9uq2WanAcx3GcZiFpPPCKmT0saefofnuJpEvN7DFgrqSlaxx6rJltDmwIbCtpQtxuwLNx\n5vBm4Dzg08AHge8Vjt8c+BphdnEc8JnYn4sK7rLFv31q9GElYGqh/ELcVus8t5D0CGF91f+L21YA\njicYnh+OfckTvAo4PBrSLwCPmdmDtdruPnm2W6jvjLX8O2ZX7dioFTdA2xiPp6mP66Yxrp/6lFA3\ntWZA++zeXUL9lArXT31cN05P6G9xjH0dL9nOcmrI2gC4TdIA4LvAdsA3CK6qAE8AY2s0s4eke4B7\ngfUIxlvOX+PnLOA2M3vHzF4FZkpaPO6708yeiTOTFxIMQMzs82a2cY2/CxbgnOYjzpKuB2wCnCFp\nNLAlcKOZvWZms4GL6RikLrrgLguMlLRHz36nPNst1I/3fHtGV624Aeo4jlNuat2n/d7tOI7jOB3M\nBZYBnjKzt8zsOcKyjxCMr5eKlSWNJRipHzWzDYG/E1xUc2bGTyMYoUU5gwr75jUZ9yHp4nozoJIG\nSLo/lo8nzH4WEyWtTJitrIuZTQGeAtaMfSh6RVV7SCke8z5wDcFPtgfk2W4h2PfHVu0/8Cl47mdd\nteKJLNoYj6epj+umMa6f+pRQN6WaAS2hfkqF66c+rhunJ/S3OEaPAe1VWQ8DRwG/BsbFGcolgHWi\nW+2yZvZ8VROLA+8Ab0laDtgRuLGGqMeATet0YwtJqwHPAUmUj5nVzFBbYKNiQdJbkrYEbiIYwmdW\nHxDlTDWz9yWtSjA+HycYq2dIWgqYDuwO3JcfVjhehBnae3r2Oz1/Jhw0Lrjh5rbsbu/CgKfgvRfg\nuZ+ZPXxVV624Aeo4jlNufAbUcZymkCTJ0YQkLXMJWTb3A0YQ3PhWBZ4BkjRN3+irPjpOV5jZFEmr\nAGsBJxIMyacJbrRHEK7r6mMeiLGRU4DngX/Wa57OM53F73cBPwfWAP4BXLGQp3AIIc50GHCVmV0D\nIOlTwGZmdhzBeDxK0mxgNnCwmb1FMKCPB24D3qDD+Mz7eniMPR0MPEBI1rRQhAREYw6FZ2fAjq/C\nsP8uiNFZxF9i2hiPp6mP66Yxrp/6lFA3pZoBLaF+SoXrpz6um3KRJMlqwEHAJmmark+413yeMJN0\nfZqm44EbYrnP6W9xjB4D2uuyDgEuAN41s03NbHfgdOASM3ulVhtmtp+ZrWVmHzOzz5nZ7+P2sWY2\nLVZ71swOLRyzemHfW2a2s5mtbWaHmJlVy+gOZnaPma0PHFgl68pofGJmF5jZhBhLukVupMZ958Xz\n2NLM/idvw8y+Z2Yrx2MmmNneZjZzYX6nztlvr1sfrl4Glh62MMYnuAHqOI5TdjwLruM4zeAtwkzK\n8CRJBgHDgf8AuwDnxzrnU2NJCMcpGzEuchfgs5LulfQA8D+Emf2miKTzbGg/p5j9NufsNWCVry9M\na26AtjEeT1Mf101jXD/1KaFuSjUDWkL9lArXT31cN+UiTdNphPURnyMYnm+kaXo9sFyapnnClpeA\n5fqoi53ob3GMHgPa+7LM7AUz+4qZbWJmG5rZwTEZUa/KidtvMrNdetJ2d2X1NgsiR5qwk7TjNTDy\ng7VrjBy2MH1wA9RxHKfceAyo4zi9TpIk44D/BVYDVgRGJknSaZ3CNE0XsVkex3Fyo1P6+IOwxSXB\n7Xat0bVrd73kSi2akoQoSZITCNPgBrwG7Jum6fNx39HA/sAc4NA0Ta9rRh8WBSRVfES5Nq6bxrh+\n6lNC3ZRqBrSE+ikVrp/6uG5Kx2bAv9I0fQ0gSZLLga2AF5MkWT5N0xeTJFkBeLlRI8XfNY8ta0a5\nGLfWZHkbmdlP+9H5zJPRzPOJ5f8F7vfrodz6q9Zh5/0rbgk7HRjca79NyOkEHUuunEQH+74AD2R5\nqbq9RjQrC+6paZp+ByBJkq8DxwEHJkmyLrAHYaHXlYBJSZKMT9N0bpP64TiO0+74DKjjOM1gCvCd\nJEmGAe8BHwPuJCxN8SXglPjZMLNn8WWz+sWzHcthtYry9Kc3yvUMg94uUzCeWiGvv10PtEh/ja4H\nacejOmI9i2ZivuTKd4Apb8I7t4UERC9cVTyebtKUl5g0TacXiiOBV+P3XYEL0zSdnabpM8CTwBbN\n6MOigI8k18d10xjXT31KqJtSzYCWUD+lwvVTH9dNuUjT9AHg98DdwINx82+AHwLbJ0nyOPDRWO5z\nWnX99Dc5rZTl59QesurJCZluhxfssveramwDnAC8c5vZVTsuTPbbnKatA5okyUnAF4AZdBiZKwK3\nF6pNJcyEOo7jOLXxGVDHcZpCmqanAqdWbZ5GmA11HKef07G255wVYYtxsOLwjr213G4PfAqe+1lP\n5S60AZokyfXA8jV2HZOm6ZVpmh4LHJskyVHAT6mxCGykYXB7q2IL2rTcMl/7diu3MraiHcuun1LE\nynSzP1ZzBtT1U86y66dhuZWxVG1XnjRpEk59pNbEEPc3Oa2U5efUHrJyOR1rexbjPW+mw+jM3W53\nexcGPAXvvbCw637O1wdbuDVTu02SJKsAV6VpOiEao6Rp+sO47xrguDRN76h17A033GATJ0709e7q\n0Mp/inbDddMY1099yqYbibOBA6s2/9yMhVp7q+f9KZd+yobrpz6um8a04ztPK/vc3wyO/mzYNFtO\nK2X153MKy6tc/Ymw9fj4B8EIvZ4QAXT3NHjmCwtjdDa6PzTFjStJkjULxV2B++L3vwKfT5JkSJIk\nY4E1CQHvzkLgD/L6uG4a4/qpTwl1U3MGtOW9iJRQP6XC9VMf143TE1p1/fQ3Oa2U5efUHrI65Iwa\n2rG1GO+Zx3oeD8y9szdmPKt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V7rq6WNX3P1btvzCe77yXE2XZ5cBvrFK5prBtCWB14EGr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\nfWqtYxuN6zKoFz9mtgXwC2AocKK7nx3X9+U5O6GMY/4biJv9C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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#setup the figure\n", + "figure(figsize=(13, 5))\n", + "subplot2grid((1, 3), (0, 0), colspan=2)\n", + "# spectrum\n", + "ds.PlotExampleSpectrum(ntf, M, osr, f0, quadrature)\n", + "title('Example Spectrum')\n", + "# SNR simulation\n", + "subplot2grid((1, 3), (0, 2))\n", + "snr, amp = ds.simulateSNR(ABCD, osr, None, f0, nlev)\n", + "plot(amp, snr, 'ob')\n", + "hold(True)\n", + "ds.figureMagic((-100, 0), 10, 2, (0, 100), 10, 2)\n", + "xlabel('Input Level (dBFS)')\n", + "ylabel('SQNR (dB)')\n", + "peak_snr, peak_amp = ds.peakSNR(snr, amp)\n", + "adc['peak_snr'] = peak_snr\n", + "msg = 'peak SQNR = %4.1fdB \\n@ amp=%4.1fdB ' % (peak_snr, peak_amp)\n", + "text(peak_amp - 10, peak_snr, msg, ha='right', va='center')\n", + "msg = 'OSR=%d ' % osr\n", + "text(0, 5, msg, ha='right')\n", + "title('SQNR Plot')\n", + "tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ADC parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f0:\n", + "\t0.0625\n", + "ABCD:\n", + "\t[[ 0.88803720 +4.59771611e-01j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j\n", + " 0.05160829 +0.00000000e+00j 0.05160829 +0.00000000e+00j]\n", + " [ 0.60725927 +7.94503732e-01j 0.95304475 +3.02829501e-01j\n", + " 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.32296443 +5.55111512e-17j]\n", + " [ 0.00000000 +0.00000000e+00j 0.94589279 +3.24479322e-01j\n", + " 0.92387953 +3.82683432e-01j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.91615063 +9.71445147e-17j]\n", + " [ 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j\n", + " 0.00000000 +0.00000000e+00j 0.92387953 -3.82683432e-01j\n", + " 0.00000000 +0.00000000e+00j 0.17778533 +1.38777878e-17j]\n", + " [ 0.00000000 -0.00000000e+00j 0.00000000 -0.00000000e+00j\n", + " -0.99349829 -1.13847053e-01j -0.74054592 -6.72005754e-01j\n", + " 0.00000000 +0.00000000e+00j 0.00000000 +0.00000000e+00j]]\n", + "stf:\n", + "\t(array([ 0.92387953-0.38268343j]), array([ 0.57387778+0.5699217j , 0.59125030+0.24490389j,\n", + " 0.67307228-0.27879567j, 0.80878837+0.00279738j]), (-0.010659853046523393-0.050495382365350894j))\n", + "form:\n", + "\tPFB\n", + "osr:\n", + "\t32\n", + "M:\n", + "\t8\n", + "quadrature:\n", + "\tTrue\n", + "peak_snr:\n", + "\t[[ 84.61240252]]\n", + "order:\n", + "\t4\n", + "ntf:\n", + "\t(array([ 0.88803720+0.45977161j, 0.92387953-0.38268343j,\n", + " 0.92387953+0.38268343j, 0.95304475+0.3028295j ]), array([ 0.57387778+0.5699217j , 0.59125030+0.24490389j,\n", + " 0.67307228-0.27879567j, 0.80878837+0.00279738j]), (1+0j))\n" + ] + } + ], + "source": [ + "for k in adc:\n", + " print('%s:' % k)\n", + " print('\\t'+str(adc[k]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Effect of example I/Q mismatch" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Lumlbl0Zs6RxT8BMMBwBH9uW6OeYI/P+0u5yjmTHafSYsCX04fuXBIcBd4ReE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\nQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.signal import freqz\n", + "nd = ds._utils._get_num_den\n", + "figure(figsize=(12, 5))\n", + "ABCDr = ds.mapQtoR(ABCD)\n", + "ABCDr[1, -1] = 1.01 * ABCDr[1, -1]\n", + "H, G, HI, GI = ds.calculateQTF(ABCDr)\n", + "f = ds.ds_freq(osr, f0, quadrature)\n", + "w = 2 * np.pi * f\n", + "NTF = freqz(*nd(H), worN=w)[1]\n", + "INTF = freqz(*nd(HI), worN=w)[1]\n", + "STF = freqz(*nd(G), worN=w)[1]\n", + "ISTF = freqz(*nd(GI), worN=w)[1]\n", + "plot(f, ds.dbv(NTF), 'b', lw=2, label='NTF')\n", + "hold(True)\n", + "plot(f, ds.dbv(INTF), 'c', lw=2, label='INTF')\n", + "plot(f, ds.dbv(STF), 'm', lw=2, label='STF')\n", + "plot(f, ds.dbv(ISTF), 'r', lw=2, label='ISTF')\n", + "inband = (np.logical_and(f >= f0 - 0.5/osr, f <= f0 + 0.5/osr))\n", + "# NG LEVEL\n", + "ng = ds.dbp(np.mean(np.abs(NTF[inband])**2))\n", + "plot(f0 + 0.5*np.array((-1, 1))/osr, ng*np.array((1, 1)), 'k', lw=3)\n", + "msg = ' NG = %.0fdB ' % ng\n", + "text(f0 + 0.5/osr, ng, msg, ha='left', va='center')\n", + "# ING LEVEL\n", + "ing = ds.dbp(np.mean(np.abs(INTF[inband])**2))\n", + "plot([f0 - 0.5/osr, f0 +0.5/osr], [ing, ing], 'k', lw=3)\n", + "msg = ' ING = %.0fdB ' % ing\n", + "text(f0 + 0.5/osr, ing, msg, ha='left', va='center')\n", + "# IRR LEVEL\n", + "irr = np.min(ds.dbv(STF[inband]) - ds.dbv(ISTF[inband]))\n", + "plot([f0 - 0.5/osr, f0 + 0.5/osr], [-irr, -irr], 'k', lw=3)\n", + "msg = ' IRR = %.0fdB ' % irr\n", + "text(f0 + 0.5/osr, -irr, msg, ha='left', va='center')\n", + "ds.figureMagic((-0.5, 0.5), 2./16, 2, (-80, 15), 20, 2, None, 'Example I/Q Mismatch')\n", + "xlabel('frequency')\n", + "legend(loc=3);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Further information about NTF synthesis\n", + "\n", + "Please refer to `help(synthesizeNTF)` for detailed - and possibly more updated - documentation!\n", + "\n", + "`help(synthesizeNTF)` as of writing:\n", + "\n", + "**synthesizeQNTF**(order=4, OSR=64, f0=0.0, NG=-60, ING=-20, n_im=None)**\n", + "\n", + "Synthesize a noise transfer function for a quadrature modulator.\n", + "\n", + "**Parameters:**\n", + "\n", + "order : *int, optional*\n", + " The order of the modulator. Defaults to 4.\n", + "\n", + "OSR : *int, optional*\n", + " The oversampling ratio. Defaults to 64.\n", + "\n", + "f0 : *float, optional*\n", + " The center frequency, normalized such that $1 \\rightarrow f_s$.\n", + " Defaults to 0, ie to a low-pass modulator.\n", + "\n", + "NG : *float, optional*\n", + " The in-band noise gain, expressed in dB. Defaults to -60.\n", + "\n", + "ING : *float, optional*\n", + " The image-band noise gain, in dB. Defaults to -20.\n", + "\n", + "n_im : *int, optional*\n", + " The number of in-band image zeros, defaults to `floor(order/3)`.\n", + "\n", + "**Returns:**\n", + "\n", + "ntf : *(z, p, k) tuple*\n", + " `ntf` is a zpk tuple containing the zeros, poles and the gain of the\n", + " synthesized NTF.\n", + "\n", + ".. note::\n", + "\n", + " From the Matlab Delta-Sigma Toobox:\n", + " ALPHA VERSION:\n", + " This function uses an experimental ad-hoc method that is\n", + " neither optimal nor robust.\n", + "\n", + "**Example:**\n", + "\n", + "Fourth order quadrature modulator::\n", + "\n", + " from deltasigma import *\n", + " order = 4\n", + " osr = 32\n", + " NG = -50\n", + " ING = -10\n", + " f0 = 1 / 16\n", + " ntf0 = synthesizeQNTF(order, osr, f0, NG, ING)\n", + " pretty_lti(ntf0)\n", + "\n", + "**Returns:**\n", + "\n", + "```\n", + " (z - 0.888 - 0.4598j) (z - 0.9239 + 0.3827j) (z - 0.9239 - 0.3827j) (z - 0.953 - 0.3028j) \n", + " ---------------------------------------------------------------------------------------------\n", + " (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n", + " \n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "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": "3.1.0" + }, + { + "module": "OS", + "version": "Darwin 14.3.0 x86_64 i386 64bit" + }, + { + "module": "numpy", + "version": "1.9.2" + }, + { + "module": "scipy", + "version": "0.15.1" + }, + { + "module": "matplotlib", + "version": "1.4.3" + }, + { + "module": "deltasigma", + "version": "0.2.1" + } + ] + }, + "text/html": [ + "
SoftwareVersion
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Fri Jun 12 16:19:28 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 & 3.1.0 \\\\ \\hline\n", + "OS & Darwin 14.3.0 x86\\_64 i386 64bit \\\\ \\hline\n", + "numpy & 1.9.2 \\\\ \\hline\n", + "scipy & 0.15.1 \\\\ \\hline\n", + "matplotlib & 1.4.3 \\\\ \\hline\n", + "deltasigma & 0.2.1 \\\\ \\hline\n", + "\\hline \\multicolumn{2}{|l|}{Fri Jun 12 16:19:28 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 3.1.0\n", + "OS Darwin 14.3.0 x86_64 i386 64bit\n", + "numpy 1.9.2\n", + "scipy 0.15.1\n", + "matplotlib 1.4.3\n", + "deltasigma 0.2.1\n", + "Fri Jun 12 16:19:28 2015 CEST" + ] + }, + "execution_count": 12, + "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": true + }, + "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 +}