Matrix Spectral Factorization for SA4 Multiwavelet
arXiv:1910.06468 · doi:10.1007/s11045-017-0520-x
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.
This is a preprint of a paper whose final and definite form is published in https://link.springer.com/article/10.1007/s11045-017-0520-x