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| == Summary ==
| | Wilber Berryhill is the name his parents gave him and he completely digs that name. To perform lacross is some thing I truly appreciate doing. He works as a bookkeeper. Alaska is the only location I've been residing in but now I'm contemplating other choices.<br><br>Here is my web-site; love psychic readings, [http://www.article-galaxy.com/profile.php?a=143251 www.article-galaxy.com], |
| This svg file is made by Ugur Zongur using GNU Octave and Gnuplot in order to demonstrate linearity or non-linearity of phase plots of various filters.
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| These are the phase plots of:
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| '''a)''' FIR Filter (Type II) with impulse response: | |
| <math>h[n]=\delta[n-3] + \delta[n-2] + \delta[n-1] + \delta[n]</math> | |
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| '''b)''' FIR Filter (Type IV) with impulse response:
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| <math>h[n]=\delta[n-3] + \delta[n-2] - \delta[n-1] - \delta[n]</math>
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| '''c)''' IIR Filter with impulse response:
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| <math>h[n]={{\delta[n-1] + 2\delta[n] - 3h[n-1]} \over {4}}</math>
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| '''d)''' FIR Filter with impulse response:
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| <math>h[n]=4\delta[n-3] + 3\delta[n-2] + 2\delta[n-1] + \delta[n]</math>
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| All plots are Arg[<math>H(e^{j\omega})</math>] vs normalized <math>\omega</math> with <math>pi</math> .
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| GNU Octave and Gnuplot codes used to create the file is given below:
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| ----
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| GNU Octave Code:
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| % Phase Demonstration of basic Filters
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| % Written By: Ugur Zongur
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| a=[1 1 1 1]; % Symmetrical (So this has got Linear Phase)
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| [pp_1,w] = freqz(a,1);
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| a=[1 1 -1 -1]; % Symmetrical (So this has got Linear Phase)
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| [pp_2,w] = freqz(a,1);
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| a=[1 2]; % Numerator
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| b=[3 4]; % Denominator
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| [pp_3,w] = freqz(a,b);
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| a=[4 3 2 1]; % Not Symmetrical (So this hasn't got Linear Phase)
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| [pp_4,w] = freqz(a,1);
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| data = [w/pi ; arg(pp_1); arg(pp_2); arg(pp_3); arg(pp_4)]';
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| save -ascii 'Phase_Plots.dat' data;
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| ----
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| Gnuplot Code:
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| # set the output
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| set terminal svg
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| set output "Phase_Plots.svg"
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| # axis properties
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| set xrange [0:1]
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| set key off
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| # Set up a four-pane multiplot
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| set size 1, 1
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| set origin 0, 0
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| set multiplot
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| set title "a) FIR Filter (Type II) having Linear Phase"
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| set size 0.5,0.5
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| set origin 0 , 0.5
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| plot "Phase_Plots.dat" using 1:2 with lines linewidth 2
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| set title "b) FIR Filter (Type IV) having Linear Phase"
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| set size 0.5, 0.5
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| set origin 0.5 , 0.5
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| plot "Phase_Plots.dat" using 1:3 with lines linewidth 2
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| set title "c) IIR Filter having Non-Linear Phase"
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| set size 0.5, 0.5
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| set origin 0 , 0
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| plot "Phase_Plots.dat" using 1:4 with lines linewidth 2
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| set title "d) FIR Filter having Non-Linear Phase"
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| set size 0.5, 0.5
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| set origin 0.5 , 0
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| plot "Phase_Plots.dat" using 1:5 with lines linewidth 2
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| == Licensing ==
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| {{PD-self|date=October 2006}}
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| {{Copy to Wikimedia Commons|bot=Fbot|priority=true|date=March 2012}}
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Wilber Berryhill is the name his parents gave him and he completely digs that name. To perform lacross is some thing I truly appreciate doing. He works as a bookkeeper. Alaska is the only location I've been residing in but now I'm contemplating other choices.
Here is my web-site; love psychic readings, www.article-galaxy.com,