welchwin: Welch window

View source: R/welchwin.R

welchwinR Documentation

Welch window


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


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



Window length, specified as a positive integer.


Character string. Window sampling method, specified as:


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


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.


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.


Welch window, returned as a vector.


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.


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