{ "metadata": { "name": "", "signature": "sha256:de12641ca74ba0a9c0a4e82555e7762877fb238b8484a135ab217fa9e0bcc221" }, "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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9m8OORcQVWthYRERERETSnjHmKuB5glkdBxHM5vDUwGmTzrrUXyRtqIkjIiIiIiICkwnW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\n5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m+no7hGoNq2RuKEua6tmvPouQO5Z1o2/7x0BGmtmzsdSUTE9TbtOcCtHy7ngbP6M6Bj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\nes4AV45oF/cI9jVxlgMXAC/Ud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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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sIq7QwsYiIiIiIpL2jDE3AC8TzOo4nGA2h6cGTrO01aX+ImlDTRwRERERERGYQLAOTg+C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\nR4DLADzPW0JwadUSgps5fCVVA6e5dHcqERERN+l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4lI9+/t2+3cct8SifwfMZKBDL0yi8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\nydbaecBXcWldYohp0HzCvFabvuP+GXgh1nPTJZFcwlxTl2RREydGaz/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u+JhOQs2BAuBN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\n9ZKbYKQgMYSL8xJICffHTYo2Q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Xy6pYFnvt3J459tY9HkBM7KjMbbw93RIQoxIqw2jS+3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\n6oh4XJKA/5R0SEQ8XibOIlCMiKtJ6tQgqYPkR6Hvptv5NOalw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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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C3sed1XEs7mwOWw2cemmqU/1Fmg01cUREREREROBI3HVw2uFefvs53IssyKHTaR8iDUyn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\nQuP9lbsoiiMFQbgJgAigz3UOJ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A1KS6rg5d0D3n6u6Onr0vzj6d0DNjamHZqjZDXV9Th7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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, 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()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TnKGUmo1+/OtO4E902+V49FvPXldKXWPF8hv6GhiB/s4ud9lnMfCWUupWa90X0OPp/M9a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sRbOPokvCldZS28ZHMNp1RfbwZwnjHmF8DReIs6T2nuea2101qIcwqwEvitMeZmvK/xPvXLc1hr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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
Python2.7.8 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]
IPython2.2.0
OSposix [darwin]
numpy1.9.1
scipy0.14.0
matplotlib1.4.2
deltasigma0.1-9
Tue Nov 11 11:43:14 2014 CET
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