meyeraux function

Meyer wavelet auxiliary function

Meyer wavelet auxiliary function

Compute the Meyer wavelet auxiliary function.

meyeraux(x)

Arguments

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

Returns

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

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=35x484x5+70x620x7. 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).

Examples

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

Author(s)

Sylvain Pelissier, sylvain.pelissier@gmail.com .

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

  • Maintainer: Geert van Boxtel
  • License: GPL-3
  • Last published: 2024-09-11