A closed-form solution for the design of complex FIR filters and its application to filter banks

Author

Zhu, Wei-Ping ; Ahmad, M. Omair ; Swamy, M.N.S.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada

Volume

4

fYear

1997

fDate

9-12 Jun 1997

Firstpage

2224

Abstract

In this paper, the least-square design problem of complex FIR filters with arbitrary frequency response characteristics is investigated. A closed-form solution is obtained by solving the approximation problem analytically, enabling a very fast calculation of the impulse response of the filter to be designed. An application of the derived solution to QMF bank design is explored. By using the Butterworth approximation to obtain an IIR filter for the analysis part and by employing the closed-form solution to approximate a nonlinear-phase FIR filter for the synthesis part, a class of nearly perfect-reconstruction QMF bank is developed. It is shown that the mixed IIR/FIR filter bank not only has a very good reconstruction performance but also enjoys an extremely low design complexity

Keywords

Butterworth filters; FIR filters; frequency response; least squares approximations; network synthesis; quadrature mirror filters; Butterworth approximation; IIR filter; closed-form solution; complex FIR filter; frequency response; impulse response; least-square design; nonlinear-phase FIR filter; perfect-reconstruction QMF filter bank; Application software; Channel bank filters; Closed-form solution; Digital filters; Electronic mail; Filter bank; Finite impulse response filter; Frequency response; IIR filters; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on

Print_ISBN

0-7803-3583-X

Type

conf

DOI

10.1109/ISCAS.1997.612763

Filename

612763