Design of perfect reconstruction QMF banks: a parameterization method

Author

Lu, W.-S.

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

fYear

1996

fDate

3-6 Nov. 1996

Firstpage

1329

Abstract

This paper describes a two-step filter bank design method that (1) parameterizes, for a given lowpass analysis filter of order N, all lowpass synthesis filters of order M that will form 2-channel, linear-phase, perfect reconstruction QMF filter banks in terms of a ´free´ parameter vector in the null-space of a matrix characterized by the impulse response of the given lowpass analysis filter; and (2) utilizes this parameter vector to shape up the frequency response of the lowpass synthesis filter using a quadratic programming technique.

Keywords

FIR filters; band-pass filters; delay circuits; filtering theory; frequency response; low-pass filters; quadratic programming; quadrature mirror filters; signal reconstruction; transient response; 2-channel filter bank; FIR filter bank; QMF banks; design method; free parameter vector; impulse response; linear-phase filter bank; lowpass analysis filter; lowpass synthesis filter; matrix null-space; parameterization method; perfect reconstruction filter banks; quadratic programming; quadrature mirror filter; two-step filter bank; Channel bank filters; Delay systems; Design methodology; Design optimization; Digital signal processing; Filter bank; Finite impulse response filter; Frequency response; Quadratic programming; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1996. Conference Record of the Thirtieth Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-8186-7646-9

Type

conf

DOI

10.1109/ACSSC.1996.599164

Filename

599164