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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.

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

ψ(x) = e^{-x^{2}/2} cos (5x)

Value

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

Author(s)

Sylvain Pelissier, <sylvain.pelissier@gmail.com>.
Conversion to R by Geert van Boxtel G.J.M.vanBoxtel@gmail.com.

Examples

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

gsignal

Signal Processing

v0.3-1
GPL-3
Authors
Geert van Boxtel [aut, cre] (Maintainer), Tom Short [aut] (Author of 'signal' package), Paul Kienzle [aut] (Majority of the original sources), Ben Abbott [ctb], Juan Aguado [ctb], Muthiah Annamalai [ctb], Leonardo Araujo [ctb], William Asquith [ctb], David Bateman [ctb], David Billinghurst [ctb], Juan Pablo Carbajal [ctb], André Carezia [ctb], Vincent Cautaerts [ctb], Eric Chassande-Mottin [ctb], Luca Citi [ctb], Dave Cogdell [ctb], Carlo de Falco [ctb], Carne Draug [ctb], Pascal Dupuis [ctb], John W. Eaton [ctb], R.G.H Eschauzier [ctb], Andrew Fitting [ctb], Alan J. Greenberger [ctb], Mike Gross [ctb], Daniel Gunyan [ctb], Kai Habel [ctb], Kurt Hornik [ctb], Jake Janovetz [ctb], Alexander Klein [ctb], Peter V. Lanspeary [ctb], Bill Lash [ctb], Friedrich Leissh [ctb], Laurent S. Mazet [ctb], Mike Miller [ctb], Petr Mikulik [ctb], Paolo Neis [ctb], Georgios Ouzounis [ctb], Sylvain Pelissier [ctb], Francesco Potortì [ctb], Charles Praplan [ctb], Lukas F. Reichlin [ctb], Tony Richardson [ctb], Asbjorn Sabo [ctb], Thomas Sailer [ctb], Rolf Schirmacher [ctb], Rolf Schirmacher [ctb], Ivan Selesnick [ctb], Julius O. Smith III [ctb], Peter L. Soendergaard [ctb], Quentin Spencer [ctb], Doug Stewart [ctb], P. Sudeepam [ctb], Stefan van der Walt [ctb], Andreas Weber [ctb], P. Sudeepam [ctb], Andreas Weingessel [ctb]
Initial release
2021-05-02

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