welchwin function

Welch window

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

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.

Returns

Welch window, returned as a vector.

Details

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

. 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.

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")

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 .