Gravitational coupling constant: Difference between revisions

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Undid much of previous edit: detail like this detracts from the point being made.
See also: Added a link to the physics page "hierarchy problem" as that is what much of this page alludes to and goes into it in greater depth
 
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== Summary ==
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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.
 
These are the phase plots of:
 
'''a)'''  FIR Filter (Type II) with impulse response:
<math>h[n]=\delta[n-3] + \delta[n-2] + \delta[n-1] + \delta[n]</math>  
 
'''b)'''  FIR Filter (Type IV) with impulse response:
<math>h[n]=\delta[n-3] + \delta[n-2] - \delta[n-1] - \delta[n]</math>
 
'''c)'''  IIR Filter with impulse response:
<math>h[n]={{\delta[n-1] + 2\delta[n] - 3h[n-1]} \over {4}}</math>
 
'''d)'''  FIR Filter with impulse response:
<math>h[n]=4\delta[n-3] + 3\delta[n-2] + 2\delta[n-1] + \delta[n]</math>
 
All plots are Arg[<math>H(e^{j\omega})</math>] vs normalized <math>\omega</math> with <math>pi</math> .
 
GNU Octave and Gnuplot codes used to create the file is given below:
----
 
GNU Octave Code:
 
% Phase Demonstration of basic Filters
% Written By: Ugur Zongur
a=[1 1 1 1]; % Symmetrical (So this has got Linear Phase)
[pp_1,w] = freqz(a,1);
a=[1 1 -1 -1]; % Symmetrical (So this has got Linear Phase)
[pp_2,w] = freqz(a,1);
a=[1 2]; % Numerator
b=[3 4]; % Denominator
[pp_3,w] = freqz(a,b);
a=[4 3 2 1]; % Not Symmetrical (So this hasn't got Linear Phase)
[pp_4,w] = freqz(a,1);
data = [w/pi ; arg(pp_1); arg(pp_2); arg(pp_3); arg(pp_4)]';
save -ascii 'Phase_Plots.dat' data;
 
----
 
Gnuplot Code:
 
# set the output
set terminal svg
set output "Phase_Plots.svg"
# axis properties
set xrange [0:1]
set key off
# Set up a four-pane multiplot
set size 1, 1
set origin 0, 0
set multiplot
set title "a) FIR Filter (Type II) having Linear Phase"
set size 0.5,0.5
set origin 0 , 0.5
plot "Phase_Plots.dat" using 1:2 with lines linewidth 2
set title "b) FIR Filter (Type IV) having Linear Phase"
set size 0.5, 0.5
set origin 0.5 , 0.5
plot "Phase_Plots.dat" using 1:3 with lines linewidth 2
set title "c) IIR Filter having Non-Linear Phase"
set size 0.5, 0.5
set origin 0 , 0
plot "Phase_Plots.dat" using 1:4 with lines linewidth 2
set title "d) FIR Filter having Non-Linear Phase"
set size 0.5, 0.5
set origin 0.5 , 0
plot "Phase_Plots.dat" using 1:5 with lines linewidth 2
 
 
== Licensing ==
{{PD-self|date=October 2006}}
 
{{Copy to Wikimedia Commons|bot=Fbot|priority=true|date=March 2012}}

Latest revision as of 15:52, 15 December 2014

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,