Become an expert in R — Interactive courses, Cheat Sheets, certificates and more!
Get Started for Free

welchwin

Welch window


Description

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

Usage

welchwin(n, method = c("symmetric", "periodic"))

Arguments

n

Window length, specified as a positive integer.

method

Character string. Window sampling method, specified as:

"symmetric"

(Default). Use this option when using windows for filter design.

"periodic"

This option is useful for spectral analysis because it enables a windowed signal to have the perfect periodic extension implicit in the discrete Fourier transform. When 'periodic' is specified, the function computes a window of length n + 1 and returns the first n points.

Details

The Welch window is a polynomial window consisting of a single parabolic section:

w(k) = 1 - (k / N - 1)^2, n=0,1, ... n-1

. The optional argument specifies a "symmetric" window (the default) or a "periodic" window. A symmetric window has zero at each end and maximum in the middle, and the length must be an integer greater than 2. The variable N in the formula above is (n-1)/2. A periodic window wraps around the cyclic interval 0,1, ... m-1, and is intended for use with the DFT. The length must be an integer greater than 1. The variable N in the formula above is n/2.

Value

Welch window, returned as a vector.

Author(s)

Muthiah Annamalai, muthiah.annamalai@uta.edu,
Mike Gross, mike@appl-tech.com,
Peter V. Lanspeary, pvl@mecheng.adelaide.edu.au.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com.

Examples

w <- welchwin(64)
plot (w, type = "l", xlab = "Samples", ylab =" Amplitude")

ws = welchwin(64,'symmetric')
wp = welchwin(63,'periodic')
plot (ws, type = "l", xlab = "Samples", ylab =" Amplitude")
lines(wp, col="red")

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

We don't support your browser anymore

Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.