Multivariate Filter Banks Having Matrix Factorizations

Authors:
Qiuhui Chen;Charles A. Micchelli;Silong Peng;Yuesheng Xu
Affiliations:
-;-;-;-
Venue:
SIAM Journal on Matrix Analysis and Applications
Year:
2003

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Cited 1

Fusion of multi-spectral image using non-separable additive wavelets for high spatial resolution enhancement

ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I

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Abstract

In this paper we design vector-valued multivariate filter banks with a polyphase matrix built by a matrix factorization. These filter banks are suitable for the construction of multivariate multiwavelets with a general dilation matrix. We show that block central symmetric orthogonal matrices provide filter banks having a uniform linear phase. Several examples are included to illustrate our construction.