Biorthogonal multivariate filter banks from centrally symmetric matrices
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.
scientific article; zbMATH DE number 2181992