gausswin: Gaussian window

In gjmvanboxtel/gsignal: Signal Processing

Gaussian window

Description

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

Usage

gausswin(n, a = 2.5)

Arguments

n	Window length, specified as a positive integer.
a	Width factor, specified as a positive real scalar. a is inversely proportional to the width of the window. Default: 2.5.

Details

The width of the window is inversely proportional to the parameter a. Use larger a for a narrower window. Use larger m for a smoother curve.

w = e^{(-(a*x)^{2}/2 )}

for x <- seq(-(n - 1) / n, (n - 1) / n, by = n).

The exact correspondence with the standard deviation of a Gaussian probability density function is \sigma = (n - 1) / (2a).

Value

Gaussian convolution window, returned as a vector.

Author(s)

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

Examples

g1 <- gausswin(64)
g2 <- gausswin(64, 5)
plot (g1, type = "l", xlab = "Samples", ylab =" Amplitude", ylim = c(0, 1))
lines(g2, col = "red")

gjmvanboxtel/gsignal documentation built on Nov. 22, 2023, 8:19 p.m.