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Matrix Spectral Factorization for SA4 Multiwavelet · arXivDesk

1910.06468Oct 15, 2019This 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

Matrix Spectral Factorization for SA4 Multiwavelet

Vasil Kolev, Todor Cooklev, Fritz Keinert

Numerical Analysis Computational Engineering, Finance, and Science Signal Processing

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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.

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The paper addresses: Matrix Spectral Factorization for SA4 Multiwavelet.
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.

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Author comment: 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

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