File:Window function (hann).svg

This file has been superseded by Window function and frequency response - Hann.svg. It is recommended to use the other file. Please note that deleting superseded images requires consent.
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Summary

Description
English: Hann 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 (hann).png by Bob K
Author  
Vector:
Category:Vectorizations
Other versions Derivative works of this file:  Window function and frequency response - Hann.svg: Category:Files with derivative versions
SVG development
InfoField
 The SVG code is valid.
 This vector image was created with Inkscape.
Category:Valid SVG created with Inkscape#Window%20function%20(hann).svg
This file has been superseded by Window function and frequency response - Hann.svg. It is recommended to use the other file. Please note that deleting superseded images requires consent.
 new file
Category:Superseded
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.

беларуская (тарашкевіца) ∙ català ∙ čeština ∙ Deutsch ∙ English ∙ español ∙ فارسی ∙ suomi ∙ français ∙ magyar ∙ italiano ∙ 日本語 ∙ 한국어 ∙ македонски ∙ Bahasa Melayu ∙ Plattdüütsch ∙ Nederlands ∙ português ∙ русский ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ српски / srpski ∙ 中文 ∙ 中文（简体） ∙ +/−

Category:Images requiring internationalisation#Window%20function%20(hann).svg

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(hann).svgCategory:PD-self#Window%20function%20(hann).svg

Source code

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

N=128;
k=0:N-1;
dr = 100;
w = 0.5 - 0.5*cos(2*pi*k/(N-1));

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 (Hann)')

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','-100|-90|-80|-70|-60|-50|-40|-30|-20|-10|0')
grid on
ylabel('decibels')
xlabel('DFT bins')
title('Frequency response (Hann)')
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:Vectorizations Category:Window function