File:KaiserWindow.jpg

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New SVG image

Category:Images with inappropriate JPEG compression#KaiserWindow.jpg
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.
Category:Self-published work#KaiserWindow.jpgCategory:PD-self#KaiserWindow.jpg
Source code
InfoField
N
 
This JPG graphic was created with GNU Octave by Bob K.
Category:PNG created with Octave code#KaiserWindow.jpg

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

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]] }}

Uploaded with derivativeFX Category:Uploaded with derivativeFX

Category:Signal processing Category:Mathematical diagrams Category:Images with Octave source code
Category:Images with Octave source code Category:Images with inappropriate JPEG compression Category:Mathematical diagrams Category:PD-self Category:PNG created with Octave code Category:Self-published work Category:Signal processing Category:Superior vector version available Category:Uploaded with derivativeFX