Multiplierless perfect reconstruction modulated filter banks with sum-of-powers-of-two coefficients

Author

Chan, S.C. ; Liu, W. ; Ho, K.L.

Author_Institution

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

Volume

8

Issue

6

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

163

Lastpage

166

Abstract

This paper proposes an efficient class of perfect reconstruction (PR) modulated filter banks (MFB) using sum-of-powers-of-two (SOPOT) coefficients. This is based on a modified factorization of the DCT-IV matrix and the lossless lattice structure of the prototype filter, which allows the coefficients to be represented in SOPOT form without affecting the PR condition. A genetic algorithm (GA) is then used to search for these SOPOT coefficients. Design examples show that SOPOT MFB with a good frequency characteristic can be designed with very low implementation complexity. The usefulness of the approach is demonstrated with a 16 channel design example.

Keywords

channel bank filters; discrete cosine transforms; filtering theory; genetic algorithms; matrix decomposition; signal reconstruction; 16 channel design; DCT-IV matrix factorization; SOPOT coefficients; genetic algorithm; lossless lattice structure; low implementation complexity; perfect reconstruction modulated filter banks; prototype filter; sum-of-powers-of-two coefficients; Channel bank filters; Discrete cosine transforms; Filter bank; Filtering theory; Frequency; Genetic algorithms; Lattices; Matrix decomposition; OFDM modulation; Prototypes;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.923040

Filename

923040