Nonstandard Wavelet Transform (Periodized, Orthogonal)
nwc = FNWT_PO(x,L,qmf)
1-d signal. length(x) = 2^J.
coarsest resolution level
quadrature mirror filter
nonstandard wavelet transform of x contains both low-pass and high-pass outputs of pyramid algorithm. length(nw) = 2*length(x)
if x is a vector and M is a matrix, then one can calculate Mx in two ways: (a) Use natural basis: M*x (b) Use nonstandard matrix product: INWT[NSF * FNWT[x]] where NWT and INWT are nonstandard wavelet transforms and NSF is the nonstandard form of the matrix.