gsignal (version 0.3-1)

morlet: Morlet Wavelet

Description

Compute the Morlet wavelet on a regular grid.

Usage

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

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.

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.

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

# NOT RUN {
m <- morlet(-4, 4, 1000)
plot(m$x, m$psi, type="l", main = "Morlet Wavelet", xlab = "", ylab = "")

# }