Phase equalization of one and two-dimensional recursive filers

Author

Tehrani, Fleur T. ; Ford, Robert E.

Author_Institution

Dept. of Electr. Eng., California State Univ., Fullerton, CA, USA

Volume

41

Issue

11

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

3193

Lastpage

3196

Abstract

An effective optimization algorithm is proposed to design multidimensional recursive phase equalizers. The optimization algorithm uses the modified version of the Rosenbrock (1960) pattern search method to minimize the maximum group delay ripple. This numerical method eliminates the increased complexity that derivative methods show when multiple variables are to be found. The criteria used to guarantee the stability of the equalizer are based on the DeCarlo-Strintzis theorem. By applying this theorem, the stability test procedure in m dimensions is reduced to m one-dimensional stability test routines. Using this stabilization technique and the Rosenbrock pattern search method for optimization, the intensity of computations is considerably reduced in higher dimensions

Keywords

all-pass filters; computational complexity; convergence of numerical methods; equalisers; multidimensional digital filters; optimisation; DeCarlo-Strintzis theorem; complexity; maximum group delay ripple; modified Rosenbrock pattern search method; multidimensional recursive phase equalizers; numerical method; optimization algorithm; stability; Algorithm design and analysis; Delay; Design methodology; Equalizers; IIR filters; Multidimensional systems; Optimization methods; Search methods; Stability; Testing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.257254

Filename

257254