2 research outputs found
An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients
It is described how the coefficients of Daubechies wavelet matrices can be
approximated by rational numbers in such a way that the perfect reconstruction
property of the filter bank be preserved exactlyComment: 10 page
On compact wavelet matrices of rank m and of order and degree N
A new parametrization (one-to-one onto map) of compact wavelet matrices of
rank and of order and degree is proposed in terms of coordinates in the
Euclidian space . 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.Comment: 18 page