Eigenstructure approach for complete characterization of linear-phase FIR perfect reconstruction analysis length 2M filterbanks

Author

Makur, Anamitra ; Muthuvel, Arigovindan ; Reddy, P. Viswanadha

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore

Volume

52

Issue

6

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

1801

Lastpage

1804

Abstract

The eigenstructure based characterization of M-channel finite impulse response perfect reconstruction (FIR PR) filterbanks in a previous paper by the authors is extended here to the linear-phase case. Some results relating to linear-phase filterbanks is derived by finding appropriate restrictions on the eigenstructure of the analysis polyphase matrix. Consequently, a complete and minimal characterization for such filterbanks with all analysis length 2M and any synthesis length is developed. Parameterization and design examples are also presented.

Keywords

FIR filters; eigenstructure assignment; filtering theory; matrix algebra; signal reconstruction; M-channel linear-phase FIR perfect reconstruction filterbanks; eigenstructure approach; finite impulse response; parameterization; polyphase matrix; Discrete cosine transforms; Eigenvalues and eigenfunctions; Finite impulse response filter; Image processing; Image reconstruction; Matrix decomposition; Nonlinear filters; Polynomials; Signal processing; Signal synthesis; Eigenstructure; FIR filterbank; linear phase;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2004.827201

Filename

1299113