Biorthogonal multivariate filter banks from centrally symmetric matrices
type: Item
instance of: scholarly article
title: Biorthogonal multivariate filter banks from centrally symmetric matrices
zbMATH Open document ID: 1079.65141
author: Charles A. Micchelli
author: Yuesheng Xu
author: Qiuhui Chen
published in: Linear Algebra and its Applications
publication date: 2005-06-23T00:00:00Z
review text: A general construction of vector-valued multivariate orthonormal filter banks having linear phase was proposed by \textit{Q. Chen, C. A. Micchelli, S. Peng}, and \textit{Y. Xu} [SIAM J. Matrix Anal. Appl. 25, No.~2, 517--531 (2003; Zbl 1043.42026)] by a matrix factorization approach and the use of block centrally symmetric matrices. In this paper the authors introduce a new method to generate block centrally symmetric matrices, and the structure of such matrices is completely resolved. These results are then used for the construction of filter banks with linear phase in the biorthogonal case.
reviewed by: Hermann Render
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 2181992
zbMATH Keywords: multivariate filter banks
zbMATH Keywords: matrix factorization
zbMATH Keywords: linear phase
zbMATH Keywords: biorthogonal
zbMATH Keywords: block centrally symmetric matrices
MaRDI profile type: Publication
full work available at URL: j.laa.2004.12.028
OpenAlex ID: W2045952578
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DOI: 10.1016/J.LAA.2004.12.028
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description: scientific article; zbMATH DE number 2181992