Relation between Analysis Filters´ Symmetry Polarities and Lengths of M-channel Alias Free Linear Phase Filter Banks

Author

Anjin, Peng ; Shengxian, Zhuang

Author_Institution

Sch. of Electr. & Inf. Eng., Southwest Univ. for Nat., Chengdu

fYear

2007

fDate

14-17 Sept. 2007

Firstpage

108

Lastpage

110

Abstract

M-channel alias-free linear-phase filter banks (AFLPFB) include M linear-phase (LP) FIR analysis filters and have a LP distortion function. Linear-phase perfect-reconstruction filter banks (LPPRFB) are apparently a class of AFLPFB, and widely used in various applications. Although the filters´ symmetry polarities and lengths of analysis filters are studied in the literature, the relation between them is never revealed, thus the general method is not yet available up to date for choosing the filters´ symmetry polarities and lengths of M-channel LPPRFB. In this paper, for generality, the relation between the analysis filters´ symmetry polarities and lengths (RAFSPL) of M-channel AFLPFB is firstly derived, and according to which the relation among analysis filters´ lengths (RAFL) of M-channel AFLPFB is obtained. The results show that all LPPRFB reported so far follow our general method.

Keywords

FIR filters; linear phase filters; FIR analysis filters; LP distortion function; M-channel alias free linear phase filter banks; analysis filters; linear-phase perfect-reconstruction filter; symmetry polarities; Filter bank; Finite impulse response filter; Image coding; Information analysis; Information filtering; Information filters; Nonlinear filters; Phase distortion; Software radio; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Bio-Inspired Computing: Theories and Applications, 2007. BIC-TA 2007. Second International Conference on

Conference_Location

Zhengzhou

Print_ISBN

978-1-4244-4105-1

Electronic_ISBN

978-1-4244-4106-8

Type

conf

DOI

10.1109/BICTA.2007.4806429

Filename

4806429