gsignal (version 0.3-7)

gausswin: Gaussian window

Description

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

Usage

gausswin(n, a = 2.5)

Value

Gaussian convolution window, returned as a vector.

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.

Author

Paul Kienzle, .
Conversion to R by Geert van Boxtel .

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 \(\sigma = (n - 1) / (2a)\).

Examples

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