kaiser: Kaiser window

In gsignal: Signal Processing

Kaiser window

Description

Return the filter coefficients of a kaiser window of length n.

Usage

kaiser(n, beta = 0.5)

Arguments

n	Window length, specified as a positive integer.
beta	Shape factor, specified as a positive real scalar. The parameter beta affects the side lobe attenuation of the Fourier transform of the window. Default: 0.5

Details

The Kaiser, or Kaiser-Bessel, window is a simple approximation of the DPSS window using Bessel functions, discovered by James Kaiser.

        besselI(0, Beta * sqrt(1-(2*x/m)^2))
k(x) =  -------------------------------------,  -m/2 <= x <= m/2
        besselO(0, Beta)

The variable parameter β determines the trade-off between main lobe width and side lobe levels of the spectral leakage pattern. Increasing β widens the main lobe and decreases the amplitude of the side lobes (i.e., increases the attenuation).

Value

Kaiser window, returned as a vector.

Author(s)

Kurt Hornik, [e-mail],
Paul Kienzle, [e-mail].
Conversion to R by Geert van Boxtel [e-mail].

Examples

k <- kaiser(200, 2.5)
plot (k, type = "l", xlab = "Samples", ylab =" Amplitude")

gsignal documentation built on May 15, 2022, 5:05 p.m.