General analysis of two-band QMF banks

Author

Tuncer, T. Egin ; Nguyen, Truong Q.

Author_Institution

Dept. of Electron. Eng., Ankara Univ., Turkey

Volume

43

Issue

2

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

544

Lastpage

548

Abstract

The two-channel perfect-reconstruction quadrature-mirror-filter banks (PR QMF banks) are analyzed in detail by assuming arbitrary analysis and synthesis filters. Solutions where the filters are FIR or IIR correspond to the fact that a certain function is monomial or nonmonomial, respectively. For the monomial case, the design problem is formulated as a nonlinear constrained optimization problem. The formulation is quite robust and is able to design various two-channel filter banks such as orthogonal and biorthogonal, arbitrary delay, linear-phase filter banks, to name a few. Same formulation is used for causal and stable PR IIR filter bank solutions

Keywords

FIR filters; IIR filters; band-pass filters; circuit optimisation; delay circuits; filtering theory; quadrature mirror filters; FIR filter bank; IIR filter bank; analysis filters; arbitrary delay filter banks; biorthogonal filter banks; design problem; linear-phase filter banks; monomial function; nonlinear constrained optimization problem; nonmonomial function; orthogonal filter banks; perfect reconstruction filters; quadrature mirror filter banks; synthesis filters; two-band QMF banks; Attenuation; Constraint optimization; Delay lines; Delay systems; Design optimization; Filter bank; Finite impulse response filter; IIR filters; Passband; Robustness;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.348138

Filename

348138