Theory of two-dimensional multirate filter banks

Author

Karlsson, Gunnar ; Vetterli, Martin

Author_Institution

IBM Res. Div., Zurich, Switzerland

Volume

38

Issue

6

fYear

1990

fDate

6/1/1990 12:00:00 AM

Firstpage

925

Lastpage

937

Abstract

Results are presented on 2-D FIR (two-dimensional finite-impulse-response) filter banks for multirate applications. The theory is valid for all sampling lattices; conditions for alias-free and perfect signal reconstruction are derived. Synthesis structures for paraunitary and nonparaunitary polynomial matrices are derived, which yield perfect reconstruction filter banks. The degrees of freedom are given for these systems. Linear phase conditions are posed on the polyphase form of filter banks. which is used to derive a design structure for the restricted, but important, case of linear phase filter banks

Keywords

filtering and prediction theory; matrix algebra; polynomials; two-dimensional digital filters; 2D FIR filter banks; alias-free reconstruction; design structure; finite-impulse-response; linear phase filter banks; nonparaunitary polynomial matrices; paraunitary type; perfect signal reconstruction; polyphase form; two-dimensional multirate filter; Band pass filters; Channel bank filters; Decoding; Filter bank; Frequency; Image coding; Image reconstruction; Signal analysis; Signal reconstruction; Signal synthesis;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.56054

Filename

56054