Design of low-delay FIR QMF banks using the Lagrange-multiplier approach

Author

Abdel-Raheem, Esam ; El-Guibaly, Fayez ; Antoniou, Andreas

Author_Institution

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

Volume

2

fYear

1994

fDate

3-5 Aug 1994

Firstpage

1057

Abstract

A new approach for the design of two-channel perfect reconstruction FIR filter banks with short reconstruction delays is presented. A low-order filter is first designed and the objective function of the filter bank is formulated as a quadratic programming problem with linear constraints. Then the Lagrange-multiplier method is used to design a higher-order filter. The method is simple, efficient, and flexible and leads to a closed-form solution. Design examples are included to illustrate the advantages of the method

Keywords

FIR filters; band-pass filters; circuit optimisation; delays; multiplying circuits; quadratic programming; quadrature mirror filters; signal reconstruction; Lagrange-multiplier approach; closed-form solution; higher-order filter; linear constraints; low-delay FIR QMF banks; objective function; quadratic programming problem; reconstruction delays; two-channel perfect reconstruction FIR filter banks; Closed-form solution; Delay; Ear; Equations; Filter bank; Finite impulse response filter; Lagrangian functions; Mirrors; Nonlinear filters; Quadratic programming; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on

Conference_Location

Lafayette, LA

Print_ISBN

0-7803-2428-5

Type

conf

DOI

10.1109/MWSCAS.1994.518993

Filename

518993