gsignal (version 0.3-7)

morlet: Morlet Wavelet

Description

Compute the Morlet wavelet on a regular grid.

Usage

morlet(lb = -4, ub = 4, n = 1000)

Value

A list containing 2 variables; x, the grid on which the Morlet wavelet was evaluated, and psi (\(\Psi\)), the evaluated wavelet on the grid x.

Arguments

lb, ub

Lower and upper bounds of the interval to evaluate the wavelet on. Default: -4 to 4.

n

Number of points on the grid between lb and ub (length of the wavelet). Default: 1000.

Author

Sylvain Pelissier, .
Conversion to R by Geert van Boxtel .

Details

The code m <- morlet(lb, ub, n) returns values of the Morlet wavelet on an n-point regular grid in the interval c(lb, ub).

The Morlet waveform is defined as $$\psi(x) = e^{-x^{2}/2} cos (5x)$$

Examples

m <- morlet(-4, 4, 1000)
plot(m$x, m$psi, type="l", main = "Morlet Wavelet", xlab = "", ylab = "")