Lagrange multiplier approaches to the design of two-channel perfect-reconstruction linear-phase FIR filter banks

Author

Horng, Bor-Rong ; Wilson, A.N.

Author_Institution

Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1731

Abstract

Two approaches are presented for the design of two-channel perfect-reconstruction FIR (finite impulse response) filter banks, which yield linear-phase filters. The optimization o perfect-reconstruction filter banks is first formulated as a quadratic programming problem with linear constraints, and then as one with nonlinear constraints. Closed-form solutions for the first approach and for the iteration problem in the second approach have been obtained. Design examples for both approaches are given

Keywords

digital filters; iterative methods; multiplying circuits; quadratic programming; Langrange multipliers; closed-form solutions; finite impulse response; iteration problem; linear constraints; nonlinear constraints; optimization; quadratic programming problem; two-channel perfect-reconstruction linear-phase FIR filter banks; Channel bank filters; Closed-form solution; Constraint optimization; Equations; Filter bank; Finite impulse response filter; Image coding; Image reconstruction; Lagrangian functions; Quadratic programming;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115814

Filename

115814