File:Window function (gauss).svg

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Original file ‎(SVG file, nominally 883 × 346 pixels, file size: 484 KB)

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This file has been superseded by Window function and frequency response - Gaussian (sigma = 0.4).svg. It is recommended to use the other file. Please note that deleting superseded images requires consent.
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Summary[edit]

Description
English: Gauss window and frequency response for sigma = 0.4
Date
Source Own work     I saved both plots in EPS, then I converted them to SVG with Scribus and merged them with Inkscape
Author Bob K, converted to SVG by Alessio Damato
Permission
(Reusing this file)
This work has been released into the public domain by its author, Bob K, at the English Wikipedia project. This applies worldwide.

In case this is not legally possible:
Bob K grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Other versions

This file was derived from: Window function (gauss).png

Derivative works of this file:  Window function and frequency response - Gaussian (sigma = 0.4).svg
SVG development
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The SVG code is valid (3 warnings)
 
This vector image was created with Scribus by Alejo2083.
Matlab source
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click to expand

This graphic was created with the help of the following Matlab script: 

N=128;
k=0:N-1;

dr = 60;
sigma = 0.4;
w = exp(-0.5*( (k-(N-1)/2)/(sigma*(N-1)/2) ).^2);

B = N*sum(w.^2)/sum(w)^2 ;   % noise bandwidth (bins)

H = abs(fft([w zeros(1,7*N)]));
H = fftshift(H);
H = H/max(H);
H = 20*log10(H);
H = max(0,dr+H);

figure
area(k,w,'FaceColor', [0 .4 .6])
xlim([0 N-1])
set(gca,'XTick', [0 : 1/8 : 1]*(N-1))
set(gca,'XTickLabel','0| | | | | | | |N-1')
grid on
ylabel('amplitude')
xlabel('samples')
title('Window function (Gauss, \sigma = 0.4)')

figure
stem(([1:(8*N)]-1-4*N)/8,H,'-');
set(findobj('Type','line'),'Marker','none','Color',[.871 .49 0])
xlim([-4*N 4*N]/8)
ylim([0 dr])
set(gca,'YTickLabel','-60|-50|-40|-30|-20|-10|0')
grid on
ylabel('decibels')
xlabel('DFT bins')
title('Frequency response (Gauss, \sigma = 0.4)')

Improvements[edit]

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Date/TimeThumbnailDimensionsUserComment
current20:32, 22 October 2007Thumbnail for version as of 20:32, 22 October 2007883 × 346 (484 KB)Alejo2083 (talk | contribs)== Summary == {{Information |Description= Gauss window and frequency response for sigma = 0.4 |Source=self-made |Date=16-Dec-2005 |Author= Bob K, converted to SVG by ~~~ }} source: http://en.wikipedia.org/wiki/Window_Function author: http

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