File:KaiserWindow.jpg

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Description
English: Kaiser Window Function for different alpha values.
Date
Source Own work
Author Bob K
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Source code
InfoField
N
 
This JPG graphic was created with GNU Octave by Bob K.

Matlab

graphics_toolkit gnuplot
N = 129;
M = N-1;
n = 0:M;

figure
hold on
title('Parametric family of Kaiser windows')
alpha = 0.3;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'blue', 'linewidth', 2)
text(7, .92, '\alpha=0.3')

ylabel(' ')             % create left margin
text(2, 1.05, 'W_n', 'fontsize', 14)
text(56, -0.05, '\leftarrow   n   \rightarrow')
xlim([0 M])
ylim([0 1.1])
grid on
set(gca,'XTick', [0 : 1/8 : 1]*M)
set(gca,'XTickLabel',[' 0'; ' '; ' '; ' '; ' '; ' '; ' '; ' '; 'N-1 '])

alpha = 0.6;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'green', 'linewidth', 2)
text(7, .66, '\alpha=0.6')

alpha = 1.2;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'red', 'linewidth', 2)
text(14, .46, '\alpha=1.2')

alpha = 2.4;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'cyan', 'linewidth', 2)
text(22, .33, '\alpha=2.4')

alpha = 4.8;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'magenta', 'linewidth', 2)
text(36, .18, '\alpha=4.8')
hold off

Source code
InfoField

SVG code

Source code 
graphics_toolkit gnuplot
N = 129;
M = N-1;
n = 0:M;

figure
hold on
title('Parametric family of Kaiser windows')
alpha = 0.3;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'blue', 'linewidth', 2)
text(7, .92, '\alpha=0.3')

ylabel(' ')             % create left margin
text(2, 1.05, 'W_n', 'fontsize', 14)
text(56, -0.05, '\leftarrow   n   \rightarrow')
xlim([0 M])
ylim([0 1.1])
grid on
set(gca,'XTick', [0 : 1/8 : 1]*M)
set(gca,'XTickLabel',[' 0'; ' '; ' '; ' '; ' '; ' '; ' '; ' '; 'N-1 '])

alpha = 0.6;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'green', 'linewidth', 2)
text(7, .66, '\alpha=0.6')

alpha = 1.2;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'red', 'linewidth', 2)
text(14, .46, '\alpha=1.2')

alpha = 2.4;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'cyan', 'linewidth', 2)
text(22, .33, '\alpha=2.4')

alpha = 4.8;
w = besseli(0,pi*alpha*sqrt(1-(2*n/M -1).^2))/besseli(0,pi*alpha);
plot(0:N-1, w, 'color', 'magenta', 'linewidth', 2)
text(36, .18, '\alpha=4.8')
hold off

Original upload log

[edit]

The 4/28/2009 version is a derivative work of the following image:

  • File:KaiserWindow.svg licensed with PD-self
    • 2007-09-18T22:09:25Z RetoGalli 560x420 (30091 Bytes) {{Information |Description=Kaiser Window Function for different alpha values |Source=self-made with Matlab |Date=18-September-2007 |Author= [[User:RetoGalli|RetoGalli]] }}

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Date/TimeThumbnailDimensionsUserComment
current18:37, 26 February 2013Thumbnail for version as of 18:37, 26 February 2013497 × 430 (142 KB)Bob K (talk | contribs)Add Octave script. Replace legend with individual labels on each trace.
17:15, 28 April 2009Thumbnail for version as of 17:15, 28 April 2009542 × 420 (101 KB)Bob K (talk | contribs){{Information |Description=Kaiser Window Function for different alpha values |Source=*File:KaiserWindow.svg |Date=2009-04-28 18:10 (UTC) |Author=*File:KaiserWindow.svg: RetoGalli *derivative work: ~~~ |Permission=see below |

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