File:Window function (gauss).svg

This file has been superseded by Window function and frequency response - Gaussian (sigma = 0.4).svg.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 Please note that deleting superseded images requires consent.
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Category:Superseded

Summary

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.

Category:PD-user#Window%20function%20(gauss).svg
Other versions

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

Derivative works of this file:  Window function and frequency response - Gaussian (sigma = 0.4).svgCategory:Files with derivative versions
SVG development
InfoField
Matlab source
InfoField
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

This image (or all images in this category) uses inside labels or attached captions in a specific script or language and should be converted to a language neutral form. This would allow its use in all Wikimedia projects and, more importantly, all Wikimedia languages.

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Category:Images requiring internationalisation#Window%20function%20(gauss).svg Category:Window function Category:Images with Matlab source code
Category:Derivative versions Category:Files with derivative versions Category:Images requiring internationalisation Category:Images with Matlab source code Category:PD-user Category:Pages using deprecated source tags Category:Superseded Category:Valid SVG created with Scribus Category:Window function