{ "metadata": { "name": "Filtering_Part3" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Introduction\n", "--------------\n", "\n", "In this section, we consider another approach to the filter design problem as solving for an optimal Chebyshev polynomial. In broad strokes, the idea is to approximate the desired filter response by a *minimax* polynomial, one with a minimal maximum deviation from the ideal desired response, $H_{d}(\\omega)$. It turns out that solving for such polynomials employs the *Remez exchange algorithm* so the implemented function in the signal.fir_filter_design is called remez, even though the application of this algorithm to FIR filter design is just part of the Parks-McClellan algorithm. Unfortunately, the algorithm itself is based on certain advanced theorems beyond our scope so we will just use it to get acceptable filter coefficients." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter Specification\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Parks-McClellan algorithm generates filter coefficients by solving the *optimum equiripple Chebyshev approximation* to the ideal filter provided in the specification. The Parks-McClellan algorithm internally uses the Remez exchange technique so the corresponding function in the signal module is called signal.remez. The function takes the numtaps argument which is $M$ in our notation, the bands argument is a sequence of passband/stopband edges in normalized frequency (i.e. scaled by $f_s/2$), the desired argument is a numpy array (or other array-like iterable ) that is half the length of the bands argument and contains the desired gain in each of the specified bands. The next argument is the optional weight which is array-like, half the length of the bands argument, and provides the relative weighting for the passband/stopband. The unfortunately named optional Hz argument (default=1) is the sampling frequency in the same units as the bands. The next optional argument is the type of filter response in each of the bands (i.e. bandpass, hilbert). The default is bandpass filter. The remaining arguments of the function call have to do with the internal operation of the iterative algorithm.\n", "\n", "Now, let's see this approach in action.\n", "\n", "### Example\n", "\n", "Suppose we operate at a 1 kHz sample rate and we want a 20-tap lowpass filter with a passband up to 100 Hz and a stopband starting at 150 Hz. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from matplotlib.patches import Rectangle\n", "from scipy import signal\n", "\n", "fs = 1e3 # sample rate in Hz\n", "M = 20\n", "fpass = 100 # in Hz\n", "fstop = 150 # in Hz\n", "\n", "hn = signal.remez(M,\n", " array([0, fpass, fstop, fs])/2., # scaled passband, and stop band \n", " [1,0], # low pass filter\n", " Hz = fs, # sampling frequency\n", " )\n", "\n", "w,H=signal.freqz(hn,1) # frequency response\n", "\n", "def apply_plot_overlay():\n", " 'convenience function to illustrate stop/passband in frequency response plot'\n", " ax.plot(w/pi*(fs/2),20*log10(abs(H)),label='filter response')\n", " ax.set_ylim(ymax=5)\n", " ax.vlines(100,*ax.get_ylim(),color='r')\n", " ax.vlines(150,*ax.get_ylim(),color='r')\n", " ax.set_ylim(ymin=-40)\n", " ax.set_xlabel(\"frequency (Hz)\",fontsize=18)\n", " ax.set_ylabel(r\"$20\\log_{10}|H(f)|$\",fontsize=22)\n", " ax.add_patch(Rectangle((0,-40),width=fpass,height=45,color='g',alpha=0.3))\n", " ax.add_patch(Rectangle((fpass,-40),width=fstop-fpass,height=45,color='r',alpha=0.3))\n", " ax.add_patch(Rectangle((fstop,-40),width=fs/2-fstop,height=45,color='y',alpha=0.3))\n", " ax.text(10,-5,'passband',fontsize=14,bbox=dict(color='white'))\n", " ax.text(200,-5,'stopband',fontsize=16,bbox=dict(color='white'))\n", " ax.grid()\n", " \n", "fig,ax = subplots()\n", "fig.set_size_inches((7,3))\n", "apply_plot_overlay()\n", "\n", "# fig.savefig('figure_00@.png', bbox_inches='tight', dpi=300)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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jx454enry1VdftXhPQUEBVlZWjRSPnZ1d/fn7sbVtuH2VgYEBlpaWZGVltXgdQPv27esH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\nkqdwjeCA3iRQ6/5VqQCHg951SiVUKgKjke6YaqOlSq/CErN/PV2rtKH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"text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows the frequency response for the specified FIR filter. The pink region is the transitional region between the pass and stop bands. As shown, the attenuation in the stopband only provides approximately 15 dB of attenuation. This means that a signal greater than 15 dB in the stopband will leak into the signals in the passband. One way to increase the attenuation in the stopband, is to increase the filter order, $M$, as shown in the figure below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "M = 40 # double filter length\n", "hn = signal.remez(M,\n", " array([0, fpass, fstop, fs])/2., # scaled passband, and stop band \n", " [1,0], # low pass filter\n", " Hz = fs, # sampling frequency\n", " )\n", "\n", "w,H=signal.freqz(hn,1) # frequency response\n", "\n", "fig,ax = subplots()\n", "fig.set_size_inches((7,3))\n", "apply_plot_overlay()\n", "\n", "# fig.savefig('figure_00@.png', bbox_inches='tight', dpi=300)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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tikAgENyXSHaqqampbNu2rclgJCm88cYbWisl0B1XrzKuXLZsM/kip6obIsel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\neM5XrnAyPwcqZ/iXvX5Scqrhniqbw5PWPi68CgAul7ROPNKeHJ5+uD1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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows the frequency response when the filter order is doubled. Note that the attenuation in the stopband has improved but there is now a significant distortion due to the ripple in the passband. Given the same filter order, $M$, we can mitigate this with the weight argument as shown below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "hn = signal.remez(M,\n", " array([0, fpass, fstop, fs])/2., # scaled passband, and stop band \n", " [1,0], # low pass filter\n", " weight=[100,1], # passband 100 times more important than stopband\n", " Hz = fs, # sampling frequency\n", " )\n", "\n", "w,H=signal.freqz(hn,1) # frequency response\n", "fig,ax = subplots()\n", "fig.set_size_inches((7,3))\n", "apply_plot_overlay()\n", "\n", "# fig.savefig('figure_00@.png', bbox_inches='tight', dpi=300)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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ayeOPB1NQoGDkyDZsbS/y0EOhop9/w4YALl50Ys+ePaSmHuPdd6N4+eUBvPNO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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the figure above shows, using the weight argument allows flattening of the passband at the expense of raising the stopband attenuation. This argument influences the iterative algorithm to value errors in the passband much more than in the stopband. I invite you to download the IPython Notebook corresponding to this article to try different filter orders and weights.\n", "\n", "Let's now consider the performance of this filter in practice.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Ns =300 # number of samples \n", "N = 1024 # DFT size\n", "t = arange(0,Ns)/fs\n", "\n", "x = cos(2*pi*30*t)+cos(2*pi*200*t)\n", "#x = x*signal.hamming(Ns) # try windowing also!\n", "X = fft.fft(x,N)\n", "\n", "y=signal.lfilter(hn,1,x)\n", "Y = fft.fft(y,N)\n", "\n", "fig,ax = subplots()\n", "fig.set_size_inches((10,4))\n", "apply_plot_overlay()\n", "ax.set_ylim(ymin=-30,ymax=7)\n", "ax.legend(loc='upper left')\n", "\n", "ax2 = ax.twinx()\n", "ax2.plot(arange(N)/N*fs,20*log10(abs(X)),'r-',label='filter input')\n", "ax2.plot(arange(N)/N*fs,20*log10(abs(Y)),'g-',label='filter output')\n", "#ax2.plot(arange(N)/N*fs,20*log10(abs(X)*abs(H)),'g:',lw=2.,label='YY')\n", "ax2.set_xlim(xmax = fs/2)\n", "ax2.set_ylim(ymin=-20)\n", "ax2.set_ylabel(r'$20\\log|Y(f)|$',fontsize=22)\n", "ax2.legend(loc=0);\n", "\n", "fig,ax = subplots()\n", "fig.set_size_inches((10,4))\n", "ax.plot(arange(N)/N*fs,20*log10(abs(X)),'r-',label='input')\n", "ax.plot(arange(N)/N*fs,20*log10(abs(Y)),'g-',label='output')\n", "ax.set_xlim(xmax = fs/2)\n", "ax.set_ylim(ymin=-20)\n", "ax.set_ylabel(r'dB',fontsize=22)\n", "ax.set_xlabel(\"frequency (Hz)\",fontsize=18)\n", "ax.grid()\n", "ax.annotate('passband\\nattenuation',fontsize=16,xy=(200,32),\n", " xytext=(50,3),textcoords='offset points',\n", " arrowprops=dict(arrowstyle='->',lw=3),\n", " )\n", "ax.legend(loc=0);\n", "\n", "# fig.savefig('figure_00@.png', bbox_inches='tight', dpi=300)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "" ] }, { "output_type": "display_data", "png": 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sWTMMBgN+fn60bNmS66+/njvuuIMlS5bwyy+/sH//fjIzM7n++utJSEioy9fU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\nts1UANO/8Er8jgxaC6iG4Rlfl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E4mcPx4xajOA9UsE5a0AKpxDCdOQDHUQgHVjjlgreuS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\n/Yf7Vlc9snOOYTRhGE3oR2OaToB5cJnZUsDmpEdDXybIV3h89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B0jrhjVje/9Ls69/Q2M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XWZA7VJwVytEmbq3keHT2JN9cOMP/+sBvMuVdYEjaSV9ssBglyoOVZ8AqMu9UcQLB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\ngsIs6DajaloSaK0BOpCr9g94kF624Ex89dSP+d5jTMz4s1lJBG1UMKpqha3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fiCeffBJN05g9ezagJ+W/+uqr/OxnP0vY7vbbb2fTpk387//+L263m5KSEj76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\noBqo9TXIcmphYyEspwPGZUXw/B7P+VdXi69Dzj/NmAaL0SqeT3u7or9V1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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows an overlay of the filter response (in blue, left-side y-axis) on the input and output of the filter (right-side y-axis) where the input consists of two equal-amplitude tones, one in the passband and one in the stopband. Because the filter's stopband provides approximately 10 dB of attenuation, the tone in the stopband is reduced by this amount. Note that the tone in the passband remains unchanged because the passband attenuation is negligible (as it was designed!). The bottom plot in the figure above is the same thing except without the overlay.\n", "\n", "Let's consider the input and output signals in the time domain in the following figure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x_pass = cos(2*pi*30*t) # passband signal\n", "x_stop = cos(2*pi*200*t) # stopband signal\n", "x = x_pass + x_stop\n", "y=signal.lfilter(hn,1,x)\n", "\n", "fig,axs = subplots(3,1,sharey=True,sharex=True)\n", "fig.set_size_inches((10,5))\n", "\n", "ax=axs[0]\n", "ax.plot(t,x_pass,label='passband signal',color='k')\n", "ax.plot(t,x_stop,label='stopband signal')\n", "ax.legend(loc=0)\n", "\n", "ax=axs[1]\n", "ax.plot(t,x,label='filter input=passband + stopband signals',color='r')\n", "ax.legend(loc=0)\n", "\n", "ax=axs[2]\n", "ax.plot(t,x_pass,label='passband signal',color='k')\n", "ax.plot(t,y,label='filter output',color='g')\n", "ax.set_xlabel(\"time (sec)\",fontsize=18)\n", "ax.legend(loc=0);\n", "\n", "# fig.savefig('figure_00@.png', bbox_inches='tight', dpi=300)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "output_type": "display_data", "png": 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jb9++sLOzg4WFBbZt2ybWfdocCgu5oQuaolUlYba2koNCCwu590VlKio64r33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\n6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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above beaks down the time-domain response of the filter. The top plot shows the two signals separately. The middle figure shows the sum of these two signals that is the filter's input. The bottom plot shows the filter's output compared to the input signal that was in the filter's passband.\n", "\n", "In the bottom plot, observe that the output signal is shifted compared to the input. This is due the phase response of the filter. Because this is a FIR filter, this phase is linear. Also notice that the stopband signal that causes the ripple on the filter's output is still obvious in the filter's output. This is a result of the relatively poor 10 dB attenuation in the stopband that we noted earlier. If we want to eliminate this rippling effect entirely, we have to design a filter with much greater attenuation in the stopband.\n", "\n", "I invite you to download the IPython Notebook corresponding to this section and change the amplitude of the signal in the stopband and see how it affects the filter's output." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Summary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section, we covered the the Parks-McClellan algorithm that generates FIR filter coefficients by solving the optimum equiripple Chebyshev approximation to the ideal filter provided in the specification. This design technique as implemented in the signal.remez function allows the designer to specify the passband and stopband frequencies, the idealized response in the passband, and optional relative weighting of the desired response in the passband as opposed to the stopband. All of these filter design techniques are subject to the *stuffed mattress effect* which means that pushing the filter's response down in one area (i.e. increasing attenuation in the stopband) just pushes it up elsewhere in the frequency domain, potentially causing passband distortion as we illustrated. It is the designer's responsibility to reconcile these competing demands for filter performance in terms of the overarching cost of complexity (i.e. filter length, numerical precision of coefficients) that may dominate the filters implementation in hardware.\n", "\n", "One thing we did not discuss is how to pick the filter order given a desired passband/stopband specification. Unfortunately, this is left to trial and error and the intuition of the filter designer. Note that there are many other ways to design FIR filters, each in interpreting the FIR design problem differently. For example, the *meteor* program implements a constraint-based filter design program by Steiglitz, Parks, and Kaiser.\n", "\n", "As usual, the corresponding IPython notebook for this post is available for download [here](https://github.com/unpingco/Python-for-Signal-Processing/blob/master/Filtering_Part3.ipynb). \n", "\n", "Comments and corrections welcome!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "References\n", "---------------\n", "\n", "* J. H. McClellan and T. W. Parks, \u201cA unified approach to the design of optimum FIR linear phase digital filters\u201d, IEEE Trans. Circuit Theory, vol. CT-20, pp. 697-701, 1973.\n", "* J. H. McClellan, T. W. Parks and L. R. Rabiner, \u201cA Computer Program for Designing Optimum FIR Linear Phase Digital Filters\u201d, IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 506-525, 1973.\n" ] } ], "metadata": {} } ] }