File:Window function (gauss).svg

Summary

Description
English: Gauss window and frequency response for sigma = 0.4. I saved both plots in EPS, then I converted them to SVG with Scribus and merged them with Inkscape
Date
Source Own work based on: Window function (gauss).png by Bob K
Author Alessio Damato
Other versions Derivative works of this file:  Window function and frequency response - Gaussian (sigma = 0.4).svg: Category:Files with derivative versions
SVG development
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 This diagram was created with MATLAB.
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Source code

The logo of MATLAB – numerical computing environment
The logo of MATLAB – numerical computing environment
This media was created with MATLAB (numerical computing environment)Category:Images with MATLAB source code
Here is a listing of the source used to create this file.

Deutsch  English  +/−

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)')

Licensing

Public domain This work has been released into the public domain by its author, Bob K at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
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
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:Images with MATLAB source code Category:Window function
Category:Files with derivative versions Category:Images requiring internationalisation Category:Images with MATLAB source code Category:PD-user Category:SVG created also with Inkscape Category:Superseded Category:Valid SVG created with MATLAB Category:Window function