A lifting approach to analysis and design of nonuniform multirate filter banks

Author

Chen, Tongwen

Author_Institution

Dept. of Electr. & Comput. Eng., Calgary Univ., Alta., Canada

Volume

2

fYear

1995

fDate

5-8 Sep 1995

Firstpage

874

Abstract

Based on a lifting technique, we associate with a general multirate analysis-synthesis system an equivalent, linear time-invariant (LTI) system whose transfer matrix is shown to be the product of two matrices, each composed of appropriate polyphase components of the analysis or synthesis filter bank only. In terms of the two matrices, necessary and sufficient conditions are obtained for the system to achieve complete alias cancellation and perfect reconstruction. The results also lay the groundwork for a systematic design of nonuniform filter banks for perfect reconstruction

Keywords

band-pass filters; signal reconstruction; signal synthesis; transfer function matrices; complete alias cancellation; lifting approach; linear time-invariant system; nonuniform multirate filter bank design; perfect reconstruction; polyphase components; synthesis filter bank; transfer matrix; Band pass filters; Channel bank filters; Councils; Ear; Equations; Filter bank; Frequency domain analysis; Signal synthesis; Sufficient conditions; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 1995. Canadian Conference on

Conference_Location

Montreal, Que.

ISSN

0840-7789

Print_ISBN

0-7803-2766-7

Type

conf

DOI

10.1109/CCECE.1995.526566

Filename

526566