# Matrix Spectral Factorization for SA4 Multiwavelet

arXiv: https://arxiv.org/abs/1910.06468 · HTML: https://mlsanity.com/paper/1910.06468/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Oct 2019.

## Built on by (most cited first, 2 of 2)

- [Bauer's Spectral Factorization Method for Low Order Multiwavelet Filter Design](https://mlsanity.com/paper/2312.05418/) (2023)
- [New Orthogonal Multiwavelet Filters Derived by Matrix Spectral Factorization](https://mlsanity.com/paper/2608.11518/) (2026)

## Abstract (arXiv)

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.