Perfect reconstruction FIR filter banks: some properties and factorizations

Author

Vetterli, Martin ; Le Gall, Didier

Author_Institution

Dept. of Electr. Eng., Columbia Univ., New York, NY, USA

Volume

37

Issue

7

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

1057

Lastpage

1071

Abstract

Perfect reconstruction finite impulse-response (FIR) filter banks are analyzed both in the z-transform and time domains, showing the alternatives between designs in the two domains. Various classes of perfect reconstruction schemes are indicated, and relations between previously known systems are given. Windowed modulated filter banks with low computational complexity and perfect reconstruction are shown. New factorizations of polyphase filter matrices leading in particular to linear-phase filters, are given. The computational complexity and the architecture of the new structures are indicated

Keywords

digital filters; filtering and prediction theory; FIR filter banks; architecture; computational complexity; digital filters; factorizations; finite impulse-response; perfect reconstruction; polyphase filter matrices; time domains; z-transform; Computational complexity; Filter bank; Finite impulse response filter; Image reconstruction; Nonlinear filters; Signal analysis; Signal processing; Signal synthesis; Speech synthesis; Time domain analysis;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.32283

Filename

32283