File:Window function (rectangular).svg

Summary

Description
English: Rectangular window and frequency response. 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 (rectangular).png by Bob K
Author Alessio Damato
Other versions Derivative works of this file:  Window function and frequency response - Rectangular.svg: Category:Files with derivative versions
SVG development
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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;
w = ones(1,N);

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])
ylim([0 2])
set(gca,'XTick', [0 : 1/8 : 1]*(N-1))
set(gca,'XTickLabel','0| | | | | | | |N-1')
grid on
ylabel('amplitude')
xlabel('samples')
title('Window function (rectangular)')

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('Spectral "leakage" from a rectangularly windowed sinusoid')

Licensing

Public domain This work has been released into the public domain by its author, Alessio Damato. This applies worldwide.
In some countries this may not be legally possible; if so:
Alessio Damato grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Window%20function%20(rectangular).svgCategory:PD-self#Window%20function%20(rectangular).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(rectangular).svg Category:Images with MATLAB source code Category:Short-time Fourier transform Category:Window function
Category:Files with derivative versions Category:Images requiring internationalisation Category:Images with MATLAB source code Category:PD-self Category:Self-published work Category:Short-time Fourier transform Category:Superseded Category:Valid SVG created with Inkscape Category:Window function