Symmetric Paraunitary Matrix Extension and Parametrization of Symmetric Orthogonal Multifilter Banks

Authors:
Qingtang Jiang
Affiliations:
-
Venue:
SIAM Journal on Matrix Analysis and Applications
Year:
2001

Citing 0
Cited 2

Some properties and construction of multiwavelets related to different symmetric centers

Mathematics and Computers in Simulation
Explicit construction of symmetric compactly supported biorthogonal multiwavelets via group transformations

Journal of Computational and Applied Mathematics

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Abstract

This paper is devoted to a study of symmetric paraunitary matrix extensions. The problem for a given compactly supported orthonormal scaling vector with some symmetric property, to construct a corresponding multiwavelet which also has the symmetric property, is equivalent to the symmetric paraunitary extension of a given matrix. In this paper we study symmetric paraunitary extensions of two types of matrices which correspond to two different cases for the symmetry of the scaling vector: the components of the scaling vector have or don't have the same symmetric center. In this paper we also discuss parametrizations of symmetric orthogonal multifilter banks.