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Wavelab Toolbox >> Wavelab Toolbox > Tools for Fast Matrix Multiplication in Wavelet Basis > FSFT_PO

FSFT_PO

Convert Matrix to Standard Form (Periodized,Orthogonal)

Calling Sequence

S = FSFT_PO(M,L,qmf)

Parameters

Inputs:

M :

Matrix to be put in standard form

L :

Coarsest Resolution Level of WT

qmf :

quadrature mirror Filter of Wavelet Transform

Outputs:

S :

The matrix M expressed as a matrix operating in wavelet coefficients.

Description

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 Wavelet Basis: IWT[S * FWT[x]] where FWT and IWT are wavelet transforms and SF is the standard form of the matrix. If S is sparse then the second form can be much cheaper to implement.

Authors

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