mvcwt (version 1.3.1)

Morlet: The Morlet function

Description

Given a sequence of lag distances, this function returns the Morlet wavelet

Usage

Morlet(lag)

Arguments

lag

A sequence of lag distances, typically a matrix

Value

A set of Morlet filters, typically as a matrix

Details

This version of the Morlet is scaled so that the central frequency is exactly 2Pi radians. This is the simple version of the Morlet, sometimes referred to as a psuedo-wavelet as it it not precisely normalized, leading to some leakage into the DC component. It is therefore unsuited to reconstruction using the inverse transform.

See Also

mvcwt

Examples

# NOT RUN {
x = seq(-pi, pi, len = 256)
plot(x, Re(Morlet(x)), col = "darkblue", type = "l")
lines(x, Im(Morlet(x)), col = "darkred")
lines(range(x), rep(0, 2), lty = 2)
# }