Image:Window function (Kaiser; alpha = 2 pi).png

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[edit] Summary

Description

Kaiser window and frequency response for alpha = 2 pi.

Source

self-made

Date

20-Sep-2007

Author

Bob K

Permission
(Reusing this image)

see below


[edit] Matlab commands

N=128;
k=0:N-1;
 
dr = 100;
alpha = 2*pi;
w = besseli(0,alpha*sqrt(1-(2*k/(N-1) -1).^2))/besseli(0,alpha);
 
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 (Kaiser, \alpha = 2\pi)')
 
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 (Kaiser, \alpha = 2\pi)')

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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File history

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Date/TimeDimensionsUserComment
current22:39, 20 September 20071,761×597 (81 KB)Bob K ({{Information |Description=Kaiser window and frequency response for alpha = 2 pi. |Source=self-made |Date=20-Sep-2007 |Author= Bob K }} )
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