Design of recursive digital filters with magnitude specifications

Author

Alkhairy, A.

Author_Institution

KACST-RICE, Cambridge, MA

Volume

3

fYear

1997

fDate

21-24 Apr 1997

Firstpage

2225

Abstract

We present an algorithm for the design of an optimal recursive digital filter with a specified magnitude frequency response. The method requires O(N²) computations to design a filter of size N, and exhibits numerical stability and quadratic convergence to the optimum within five iterations. The multiple exchange iterative algorithm uses the Chebyshev error criterion in the magnitude-squared frequency response domain, and has been developed using interpolation theory and the alternation theorem for rational function approximation

Keywords

approximation theory; computational complexity; error analysis; filtering theory; frequency response; interpolation; iterative methods; network synthesis; numerical stability; recursive filters; Chebyshev error criterion; alternation theorem; filter size; interpolation theory; magnitude frequency response; magnitude specifications; magnitude-squared frequency response; multiple exchange iterative algorithm; numerical stability; optimal recursive digital filter; quadratic convergence; rational function approximation; recursive digital filters design; Approximation algorithms; Chebyshev approximation; Design methodology; Digital filters; Frequency response; Function approximation; Iterative algorithms; Neodymium; Numerical stability; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on

Conference_Location

Munich

ISSN

1520-6149

Print_ISBN

0-8186-7919-0

Type

conf

DOI

10.1109/ICASSP.1997.599493

Filename

599493