File:Window function (gauss).svg
Size of this PNG preview of this SVG file: 799 × 313 pixels. Other resolutions: 320 × 125 pixels | 640 × 251 pixels | 1,024 × 401 pixels | 1,280 × 502 pixels | 2,560 × 1,003 pixels | 883 × 346 pixels.
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This file has been superseded by Window function and frequency response - Gaussian (sigma = 0.4).svg.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 Please note that deleting superseded images requires consent.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
| Description |
English: Gauss window and frequency response for sigma = 0.4 |
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| 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) |
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| Other versions |
This file was derived from: Window function (gauss).png |
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| SVG development |  |
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| Matlab source | 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)')
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Improvements
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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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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:32, 22 October 2007 | | 883 × 346 (484 KB) | Alejo2083 | == 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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