Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows

Author

Kok, C.W. ; Nagai, T. ; Ikehara, M. ; Nguyen, T.Q.

Author_Institution

Dept. of Electr. & Electron. Eng., Hong Kong Univ. of Sci. & Technol., China

Volume

48

Issue

6

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

633

Lastpage

636

Abstract

Much attention has been placed on the design of digital filter banks with pairwise mirror-image symmetry in the frequency domain because such filter bank structure requires fewer multipliers and less time to design than most other structures. Furthermore, the designed subband filters have better attenuation in most cases. In this paper, the polyphase matrix of linear phase paraunitary filter banks with an odd number of channels and pairwise mirror-image symmetry frequency responses are completely characterized and parameterized by a lattice structure. The parameterization is shown to be complete and minimal. Design examples are presented

Keywords

digital filters; filtering theory; frequency response; lattice filters; linear phase filters; polynomial matrices; symmetry; digital filter banks; frequency domain; frequency responses; lattice structures parameterization; linear phase paraunitary filter banks; linear phase paraunitary matrices; pairwise mirror-image symmetry; polyphase matrix; subband filters; Attenuation; Channel bank filters; Digital filters; Filter bank; Frequency domain analysis; Image reconstruction; Lattices; Mirrors; Nonlinear filters; Polynomials;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.943336

Filename

943336