gsignal (version 0.3-7)

meyeraux: Meyer wavelet auxiliary function

Description

Compute the Meyer wavelet auxiliary function.

Usage

meyeraux(x)

Value

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

Arguments

x

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

Author

Sylvain Pelissier, .
Conversion to R by Geert van Boxtel, .

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).

Examples

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