kbdwin

Kaiser-Bessel-derived window

Syntax

wdw = kbdwin(N)

wdw = kbdwin(N,Beta)

Description

wdw = kbdwin(N) returns an N-point Kaiser-Bessel-derived (KBD) window.

wdw = kbdwin(N,Beta) specifies the tuning parameter, Beta.

Examples

Create Kaiser-Bessel-Derived Window

Create a 1024-point Kaiser-Bessel-derived (KBD) window. Visualize the KBD window in the time and frequency domains using wvtool.

wdw = kbdwin(1024);
wvtool(wdw)

Effect of Tuning Parameter Beta

Create three 512-point KBD windows, with Beta set to 1, 10, and 100. Display the windows for comparison using wvtool.

N = 512;
beta1 = kbdwin(N,1);
beta10 = kbdwin(N,10);
beta100 = kbdwin(N,100);

wvtool(beta1,beta10,beta100)

Input Arguments

N — Number of points in KBD window

even positive integer scalar

Number of points in the KBD window, specified as an even positive integer scalar.

Data Types: single | double

Beta — Tuning parameter

5 (default) | nonnegative real scalar

Tuning parameter, specified as a nonnegative real scalar. If unspecified, Beta defaults to 5.

Data Types: single | double

Output Arguments

wdw — Kaiser-Bessel-derived window

N-point column vector

Kaiser-Bessel-derived window, returned as an N-point column vector.

Algorithms

The coefficients of a Kaiser-Bessel-derived window are computed using the equation:

$$wdw\text{[n] =}\{\begin{array}{cc}\sqrt{\frac{{\displaystyle {\sum }_{i=1}^{n}w[i]}}{{\displaystyle {\sum }_{i=1}^{\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$2$}\right.+1}w[i]}}}& \text{if}1\le n<\left(\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)\\ \sqrt{\frac{{\displaystyle {\sum }_{i=1}^{N-n}w[i]}}{{\displaystyle {\sum }_{i=1}^{\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$2$}\right.+1}w[i]}}}& \text{if}\left(\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$2$}\right.+1\right)\le n<N\end{array}$$

where w is a Kaiser window designed using the kaiser function:

w = kaiser(N/2+1,Beta*pi)

where N is the number of points in the KBD window and Beta is the tuning parameter.

References

[1] Bosi, Marina, and Richard E. Goldberg. Introduction to Digital Audio Coding and Standards. Dordrecht: Kluwer, 2003.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced in R2019a