A new nonlinear optimization algorithm for asymmetric FIR digital filters

Author

Sullivan, J.L. ; Adams, J.W.

Author_Institution

Dept. of Electr. & Comput. Eng., California State Univ., Northridge, CA, USA

Volume

2

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

541

Abstract

A new nonlinear optimization algorithm is presented for designing lowpass asymmetric FIR digital filters. The new algorithm is based on the iterative use of the generalized multiple exchange (GME) algorithm. The new algorithm can design optimal filters that simultaneously meet specifications on the group delay and the magnitude of the frequency response. The algorithm is based on nonlinear optimization because the frequency response magnitude and group delay are nonlinear functions of the filter coefficients. This ISCAS-94 paper includes a filter design example with specifications on the maximum permissible errors in the group delay and the frequency response magnitude. In spite of the nonlinearities in this design problem, the new algorithm determines a unique optimal solution. A mathematical proof of optimality is included

Keywords

Algorithm design and analysis; Delay; Digital filters; Finite impulse response filter; Frequency response; Iterative algorithms; Least squares methods; Minimax techniques; Passband; Phase shifters;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409045

Filename

409045