{ "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" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "from deltasigma import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NTF synthesis - demo #1\n", "=======================\n", "\n", "Demonstration of the **synthesizeNTF** function, as done in the **MATLAB Delta Sigma Toolbox**, employing its Python port **deltasigma**.\n", "\n", "\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **5th-order**, **low-pass** modulator.\n", "\n", " * The first section deals with an **NTF without optimized zeros** (opt=0), \n", " * while the second section with an **NTF *with optimized* zeros** (opt=1). \n", " * Finally the two transfer functions are compared.\n", "\n", " * Then we move on to the synthesis of an **8th-order band-pass modulator** with optimized zeros." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5th-order modulator\n", "-------------------\n", "\n", "General parameters:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "order = 5\n", "OSR = 32" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5th-order modulator: NTF without zeros optimization\n", "\n", "The synthesis of an NTF can be performed with the synthesizeNTF(order, OSR, opt).\n", "\n", "We intentionally disable the zeros optimization, setting opt=0." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QzxnThnL46H5kZuj3UaQdLQZOB/6Q/KC1tgA4CygAhgL/ttaO9zyvofNDTO2d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WUVTfo+4UzzkN1N9XM/1bBpbNt3kNmr87l6TFqTv5dqKCLScDqHihxdRVUV90zL5pyBHTmpZ1un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\nwx+v5lBFJY+eM8CVI9rFPYJ9T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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Synthesize!\n", "H0 = synthesizeNTF(order, OSR, opt=0)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "plotPZ(H0, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH0)\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "semilogx(f*2*OSR, magH0)\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H0 = dbv(rmsGain(H0, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H0*np.array([1, 1]))\n", "semilogx([fstart, 1], sigma_H0*np.array([1, 1]),'-o')\n", "text(0.15, sigma_H0 + 5, 'rms gain = %5.0fdB' % sigma_H0)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5th-order modulator: NTF *with* zeros optimization\n", "\n", "This time we enable the zeros optimization, setting opt=1 when calling synthesizeNTF(), then replot the NTF as above." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Zm35d4r84voiISNxpTZwm0loO8RelGu6uqCJ/WRFPLd7Amu2lnDCqN8eN7M2U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\nGaO9rfXgsYM/vA483g3bq1evdlU82g5t93NLPIlsr1692lX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xJkryc50OQxKg9Ti8TfXz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\nzEMP3M3UJnjta04ueT47935+3fCCI2v/+jbi9uC+e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Synthesize again!\n", "H0 = None\n", "H1 = synthesizeNTF(order, OSR, opt=1)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "plotPZ(H1, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH1 = dbv(evalTF(H1, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH1)\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH1 = dbv(evalTF(H1, z))\n", "semilogx(f*2*OSR, magH1)\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H1 = dbv(rmsGain(H1, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H1*np.array([1, 1]))\n", "semilogx([fstart, 1], sigma_H1*np.array([1, 1]),'-o')\n", "text(0.15, sigma_H1 + 5, 'RMS gain = %5.0fdB' % sigma_H1)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5th-order modulator: comparison\n", "-------------------------------\n", "\n", "Overlayed plots follow to ease comparison of the two synthetization approaches." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fD83SEZGGF3UcXl+wgUfPO5JZOV9z1Og+auCIiIh4TE2cOtK3x8EXhBquWl/A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XAAAg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Synthesize!\n", "H0 = synthesizeNTF(order, OSR, opt=0)\n", "H1 = synthesizeNTF(order, OSR, opt=1)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "# we plot the singularities of the optimized NTF in light \n", "# green with slightly bigger markers so that we can better\n", "# distinguish the two NTF's when overlayed.\n", "plotPZ(H1, markersize=7, color='#90EE90')\n", "hold(True)\n", "plotPZ(H0, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "magH1 = dbv(evalTF(H1, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH0, label='All zeros in z=1')\n", "hold(True)\n", "plot(f, magH1, label='Optimized zeros')\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "legend(loc=4)\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "magH1 = dbv(evalTF(H1, z))\n", "semilogx(f*2*OSR, magH0, label='All zeros in z=1')\n", "hold(True)\n", "semilogx(f*2*OSR, magH1, label='Optimized zeros')\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H0 = dbv(rmsGain(H0, 0, 0.5/OSR))\n", "sigma_H1 = dbv(rmsGain(H1, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H0*np.array([1, 1]))\n", "plot([fstart, 1], sigma_H0*np.array([1, 1]), 'o-')\n", "text(0.15, sigma_H0 + 5, 'RMS gain = %5.0fdB' % sigma_H0)\n", "#semilogx([fstart, 1], sigma_H1*np.array([1, 1]))\n", "plot([fstart, 1], sigma_H1*np.array([1, 1]), 'o-')\n", "text(0.15, sigma_H1 + 5, 'RMS gain = %5.0fdB' % sigma_H1)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "legend(loc=4)\n", "tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "8th-order bandpass Modulator\n", "----------------------------\n", "In the following, we synthesize an 8th-order modulator with optimized zeros." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dmnH14PZkpSVKD5Q6REVEkJkaT2ZqPIM7HL7sQHklK3fsY+m2vczfkM/bv2wg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\nHv/fUm49KbjrOASNMeY1oLF51zdYa5+L3T4PeKyFp2p+dV1HuNT4S3c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fzsxc3nSDR6Qx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "order = 8\n", "OSR = 64\n", "opt = 2\n", "f0 = 0.125\n", "H = synthesizeNTF(order, OSR, opt, 1.5, f0)\n", "subplot(121)\n", "plotPZ(H)\n", "title('Bandpass NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, f0 - 1./(2.*OSR), 50), \n", " np.linspace(f0 - 1./ (2 * OSR), f0 + 1./(2.*OSR), 100), \n", " np.linspace(f0 + 1./(2.*OSR), 0.5, 50)))\n", "z = np.exp(2j * pi * f)\n", "magH = dbv(evalTF(H, z))\n", "subplot(222)\n", "plot(f, magH)\n", "hold(True)\n", "G = (np.zeros((order/2,)), H[1], 1)\n", "k = 1./np.abs(evalTF(G, np.exp(2j*np.pi*f0)))\n", "G = (G[0], G[1], k)\n", "magG = dbv(evalTF(G, z))\n", "plot(f, magG, 'r')\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "#axis([0, 0.5, -100, 10])\n", "grid(True)\n", "xlabel('Normalized frequency ($1 \\\\rightarrow fs$)')\n", "ylabel('dB')\n", "title('Bandpass NTF/STF Magnitude Response')\n", "f = np.linspace(f0 - 0.3/OSR, f0 + 0.3/OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH = dbv(evalTF(H, z))\n", "subplot(224)\n", "fstart = -.5\n", "plot(2*OSR*(f - f0), magH)\n", "axis([- 0.6, 0.6, -100, -60])\n", "grid(True)\n", "sigma_H = dbv(rmsGain(H, f0 - 0.25/OSR, f0 + 0.25/OSR))\n", "hold(True)\n", "#plot([-0.5, 0.5], sigma_H*np.array([1, 1]))\n", "plot([-0.5, 0.5], sigma_H*np.array([1, 1]), 'o-')\n", "text(-.2, sigma_H + 5, 'rms gain = %5.0fdB' % sigma_H)\n", "xlabel('Normalized frequency offset')\n", "ylabel('dB')\n", "tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further information about NTF synthesis\n", "---------------------------------------\n", "\n", "Please refer to help(synthesizeNTF) for detailed - and possibly more updated - documentation!\n", "\n", "###help(synthesizeNTF) as of writing:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Help on function synthesizeNTF in module deltasigma._synthesizeNTF:\n", "\n", "**synthesizeNTF(order=3, osr=64, opt=0, H_inf=1.5, f0=0.0)**\n", "\n", "Synthesize a noise transfer function for a delta-sigma modulator.\n", "\n", "**Parameters:**\n", "\n", "order : *int, optional*\n", " the order of the modulator, defaults to 3\n", "\n", "osr : *float, optional*\n", " the oversamping ratio, defaults to 64\n", "\n", "opt : *int or list of floats, optional*\n", " flag for optimized zeros, defaults to 0\n", "\n", "* 0 -> not optimized,\n", "* 1 -> optimized,\n", "* 2 -> optimized with at least one zero at band-center,\n", "* 3 -> optimized zeros (with optimizer)\n", "* 4 -> same as 3, but with at least one zero at band-center\n", "* [z] -> zero locations in complex form\n", "\n", "H_inf : *real, optional*\n", " max allowed peak value of the NTF. Defaults to 1.5\n", "\n", "f0 : *real, optional*\n", " center frequency for BP modulators, or 0 for LP modulators.\n", " Defaults to 0.\n", "\n", " 1 corresponds to the sampling frequency, so that 0.5 is the\n", " maximum value. A value of 0 specifies an LP modulator.\n", "\n", "**Returns:**\n", "\n", "ntf : *tuple*\n", " noise transfer function in zpk form.\n", "\n", "**Raises:**\n", "\n", "ValueError\n", "\n", "* 'Error. f0 must be less than 0.5' if f0 is out of range\n", "\n", "* 'Order must be even for a bandpass modulator.' if the order is\n", " incompatible with the modulator type.\n", "\n", "* 'The opt vector must be of length xxx' if opt is used to explicitly\n", " pass the NTF zeros and these are in the wrong number.\n", "\n", "**Warns:**\n", "\n", "* 'Creating a lowpass ntf.' if the center frequency is different\n", " from zero, but so low that a low pass modulator must be designed.\n", "\n", "* 'Unable to achieve specified H_inf ...' if the desired H_inf\n", " cannot be achieved.\n", "\n", "* 'Iteration limit exceeded' if the routine converges too slowly.\n", "\n", "**Notes:**\n", "\n", "This is actually a wrapper function which calls the appropriate version\n", "of synthesizeNTF, based on the module control flag optimize_NTF which\n", "determines whether to use optimization tools.\n", "\n", "Parameter H_inf is used to enforce the Lee stability criterion.\n", "\n", "**See also:**\n", "\n", "* clans() : Closed-Loop Analysis of Noise-Shaper. \n", "\n", "An alternative method for selecting NTFs based on the 1-norm of the \n", " impulse response of the NTF\n", " \n", "* synthesizeChebyshevNTF() : Select a type-2 highpass Chebyshev NTF.\n", "\n", "This function does a better job than synthesizeNTF if osr\n", " or H_inf is low." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "execution_count": 8, "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 15:50:47 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 15:50:47 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 15:50:47 2015 CEST" ] }, "execution_count": 8, "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 }