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meyeraux

Meyer wavelet auxiliary function


Description

Compute the Meyer wavelet auxiliary function.

Usage

meyeraux(x)

Arguments

x

Input array, specified as a real scalar, vector, matrix, or multidimensional array.

Details

The code y = meyeraux(x) returns values of the auxiliary function used for Meyer wavelet generation evaluated at the elements of x. The input x is a vector or matrix of real values. The function is

y = 35x^{4} - 84x^{5} + 70x^{6} - 20x^{7}.

x and y have the same dimensions. The range of meyeraux is the closed interval c(0, 1).

Value

Output array, returned as a real-valued scalar, vector, matrix, or multidimensional array of the same size as x.

Author(s)

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

Examples

x <- seq(0, 1, length.out = 100)
y <- meyeraux(x)
plot(x, y, type="l", main = "Meyer wavelet auxiliary function",
     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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