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Titre du document / Document title

On factorization of M-channel paraunitary filterbanks

Auteur(s) / Author(s)

XIQI GAO (1) ; NGUYEN Truong Q. (2) ; STRANG Gilbert (3) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Department of Radio Engineering, Southeast University, Nanjing, CHINE
(2) Department of Electrical and Computer Engineering, Boston University, Boston, MA 02215, ETATS-UNIS
(3) Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, ETATS-UNIS

Résumé / Abstract

We systematically investigate the factorization of causal finite impulse response (FIR) paraunitary filterbanks with given filter length. Based on the singular value decomposition of the coefficient matrices of the polyphase representation, a fundamental order-one factorization form is first proposed for general paraunitary systems. Then, we develop a new structure for the design and implementation of paraunitary system based on the decomposition of Hermitian unitary matrices. Within this framework, the linear-phase filterbank and pairwise mirror-image symmetry filterbank are revisited. Their structures are special cases of the proposed general structures. Compared with the existing structures, more efficient ones that only use approximately half the number of free parameters are derived. The proposed structures are complete and minimal. Although the factorization theory with or without constraints is discussed in the framework of M-channel filterbanks, the results can be applied to wavelets and multiwavelet systems and could serve as a general theory for paraunitary systems.

Revue / Journal Title

IEEE transactions on signal processing    ISSN  1053-587X   CODEN ITPRED 

Source / Source

2001, vol. 49, no7, pp. 1433-1446 (32 ref.)

Langue / Language

Anglais

Editeur / Publisher

Institute of Electrical and Electronics Engineers, New York, NY, ETATS-UNIS  (1991) (Revue)

Mots-clés anglais / English Keywords

Filter bank

;

Multichannel filter

;

Finite impulse response filter

;

Factorization

;

Singular value decomposition

;

Matrix decomposition

;

Hermitian matrix

;

Mots-clés français / French Keywords

Banc filtre

;

Filtre multicanal

;

Filtre réponse impulsion finie

;

Factorisation

;

Décomposition valeur singulière

;

Décomposition matricielle

;

Matrice hermitienne

;

Mots-clés espagnols / Spanish Keywords

Banco filtro

;

Filtro multicanal

;

Filtro respuesta impulsión acabada

;

Factorización

;

Decomposición valor singular

;

Descomposición matricial

;

Matriz hermitiana

;

Localisation / Location

INIST-CNRS, Cote INIST : 222 E3, 35400009834640.0140

Nº notice refdoc (ud4) : 1028277



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