On compact wavelet matrices of rank m and of order and degree N

Details On compact wavelet matrices of rank m and of order and degree N On compact wavelet matrices of rank m and of order and degree N

2011-09-17

arxiv.org/abs/1109.3809v1

Mathematics

Numerical Analysis

18 pages

Scientific paper

A new parametrization (one-to-one onto map) of compact wavelet matrices of rank $m$ and of order and degree $N$ is proposed in terms of coordinates in the Euclidian space $R^{(m-1)N}$. The developed method depends on Wiener-Hopf factorization of corresponding unitary matrix functions and allows to construct compact wavelet matrices efficiently. Some applications of the proposed method are discussed.

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