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Matrix Spectral Factorization for SA4 Multiwavelet (1910.06468v2)
Published 15 Oct 2019 in math.NA, cs.CE, cs.NA, and eess.SP
Abstract: In this paper, we investigate Bauer's method for the matrix spectral factorization of an r-channel matrix product filter which is a halfband autocorrelation matrix. We regularize the resulting matrix spectral factors by an averaging approach and by multiplication by a unitary matrix. This leads to the approximate and exact orthogonal SA4 multiscaling functions. We also find the corresponding orthogonal multiwavelet functions, based on the QR decomposition.