Function evaluation on bases

evalbs(w,b,f) Returns the result of applying the function f to each subband of the wavelet packet basis b which comprises the coefficients in w. Returns a matrix whose rows describe the subband to which f was applied, followed by the values of the function on that subband.

applybs(w,b,f) Returns the result of applying the function f to each subband of the wavelet packet basis b which comprises the coefficients in w. Returns a matrix the same size as w.

Arguments:

• w is a vector or matrix of wavelet packet coefficients to which to apply the function.
• b is a 2- or 3-column matrix representing a packet basis.
• f is the name of a function such as f(x), where x is an array. The function must result in a real scalar or a real array for evalbs; it must result in a real array for applybs. For applybs, the number of rows and columns of f(x) should match the number of rows and columns of x.

Mathcad Example