{ "metadata": { "name": "", "signature": "sha256:b07292e65543dfc3e92f0385b61fdd573385ceae11159c84072d74e3f69668d5" }, "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 *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "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", "collapsed": false, "input": [ "order = 5\n", "OSR = 32" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "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", "collapsed": false, "input": [ "# 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()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HnAAsBz4CzmfbxsahHM/06wcNGsCTT9bu/6WFPq7YSjeXcgHlE3Yu5eNSLqB8ws6lfKK8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"text": [ "" ] } ], "prompt_number": 4 }, { "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", "collapsed": false, "input": [ "# 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()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8GrHlUyygeFznUzw+xQKKx3W+xZOIijgSOpEIvPACdOoEOTm2OOqAAfZaRMIp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D5QmxNH42g6lYgLbN9eMMpm0SLYssWsGFW9uodevbJo2VJTo8Ra//oXTJ9upoCfckpyzz1qFHzy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\nWLrUatr06WMtHJ9+2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"text": [ "" ] } ], "prompt_number": 5 }, { "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", "collapsed": false, "input": [ "# 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()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2MCbX62EzE2fnThg7Ft57D3r3hgcfhLgmu5m+ejo/bviRnzf+TI1yNejWsBtnx51NoyqN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"text": [ "" ] } ], "prompt_number": 6 }, { "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", "collapsed": false, "input": [ "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, 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()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Lbq7Nw3PJJSX24inKAw/A1q22Krlb/PorHHusrcJZ4iINS5bYBG4//2y9mURE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ebNg223DToaERGRLb39Nvz5zzBtGuRF6IxBNXlCbM89rShhmAtXioiIJN1/vy2bHvYBHgnedtvZ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\n419ezlFXBTZm2d4ENI12EBrO5z/q08JLSLAD6xo14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"text": [ "" ] } ], "prompt_number": 7 }, { "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", "collapsed": false, "input": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]
IPython2.1.0
OSposix [linux2]
numpy1.8.1
scipy0.14.0
matplotlib1.3.1
deltasigma0.1-4
Tue Jun 24 18:03:38 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]\", \"module\": \"Python\"}, {\"version\": \"2.1.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.1\", \"module\": \"numpy\"}, {\"version\": \"0.14.0\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-4\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2] \\\\ \\hline\n", "IPython & 2.1.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.1 \\\\ \\hline\n", "scipy & 0.14.0 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-4 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Jun 24 18:03:38 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "Software versions\n", "Python 2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]\n", "IPython 2.1.0\n", "OS posix [linux2]\n", "numpy 1.8.1\n", "scipy 0.14.0\n", "matplotlib 1.3.1\n", "deltasigma 0.1-4\n", "Tue Jun 24 18:03:38 2014 CEST" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 } ], "metadata": {} } ] }