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kaiser

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, Kurt.Hornik@ci.tuwien.ac.at,
Paul Kienzle, pkienzle@users.sf.net.
Conversion to R by Geert van Boxtel G.J.M.vanBoxtel@gmail.com.

Examples

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

gsignal

Signal Processing

v0.3-1
GPL-3
Authors
Geert van Boxtel [aut, cre] (Maintainer), Tom Short [aut] (Author of 'signal' package), Paul Kienzle [aut] (Majority of the original sources), Ben Abbott [ctb], Juan Aguado [ctb], Muthiah Annamalai [ctb], Leonardo Araujo [ctb], William Asquith [ctb], David Bateman [ctb], David Billinghurst [ctb], Juan Pablo Carbajal [ctb], André Carezia [ctb], Vincent Cautaerts [ctb], Eric Chassande-Mottin [ctb], Luca Citi [ctb], Dave Cogdell [ctb], Carlo de Falco [ctb], Carne Draug [ctb], Pascal Dupuis [ctb], John W. Eaton [ctb], R.G.H Eschauzier [ctb], Andrew Fitting [ctb], Alan J. Greenberger [ctb], Mike Gross [ctb], Daniel Gunyan [ctb], Kai Habel [ctb], Kurt Hornik [ctb], Jake Janovetz [ctb], Alexander Klein [ctb], Peter V. Lanspeary [ctb], Bill Lash [ctb], Friedrich Leissh [ctb], Laurent S. Mazet [ctb], Mike Miller [ctb], Petr Mikulik [ctb], Paolo Neis [ctb], Georgios Ouzounis [ctb], Sylvain Pelissier [ctb], Francesco Potortì [ctb], Charles Praplan [ctb], Lukas F. Reichlin [ctb], Tony Richardson [ctb], Asbjorn Sabo [ctb], Thomas Sailer [ctb], Rolf Schirmacher [ctb], Rolf Schirmacher [ctb], Ivan Selesnick [ctb], Julius O. Smith III [ctb], Peter L. Soendergaard [ctb], Quentin Spencer [ctb], Doug Stewart [ctb], P. Sudeepam [ctb], Stefan van der Walt [ctb], Andreas Weber [ctb], P. Sudeepam [ctb], Andreas Weingessel [ctb]
Initial release
2021-05-02

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