Kaiser Window Transform

window length

27

DFT length

512

Kaiser window parameter

5

This Demonstration investigates the frequency-domain properties of the Kaiser window, a useful tool in signal processing.

Details

The Kaiser window is defined by the formula:

w

k

=

I 0 β 1- 2  2k N -1 I 0 (β)	0≤k≤N
0	otherwise

The Fourier transform of the Kaiser window

w

k

(t)

(where

t

is treated as continuous) is:

W(ω)=

M

I

0

(β)

sinh

2

β

-

2



Mω

2



2

β

-

2



Mω

2



where

I

0

is the modified Bessel function of the first kind of zero order.

External Links

The Kaiser Window (Wolfram Library Archive)

Permanent Citation

Jeff Bryant, Julius O. Smith, Faisal Mohamed

"Kaiser Window Transform"
http://demonstrations.wolfram.com/KaiserWindowTransform/
Wolfram Demonstrations Project
Published: September 28, 2007