Design of ARMA digital filters with arbitrary log magnitude function by WLS techniques

Author

Kobayashi, Takao ; Imai, Satoshi

Author_Institution

Res. Lab. of Precision Machinery & Electron., Tokyo Inst. of Technol., Yokohama, Japan

fYear

1988

fDate

11-14 Apr 1988

Firstpage

1447

Abstract

A technique is proposed for designing autoregressive-moving average (ARMA) digital filters to have an arbitrary log magnitude frequency response. The technique is based on an iterative weighted least-squares (WLS) approach in the frequency domain. A weight updating procedure is introduced to obtain a least-squares approximation to the given log magnitude function using the WLS approach. Filter coefficients are efficiently calculated using a fast recursive algorithm for a set of linear equations derived from the WLS problem. The technique is also extended to equiripple approximation with a minor modification of the weight updating procedure

Keywords

digital filters; filtering and prediction theory; iterative methods; least squares approximations; ARMA; WLS techniques; arbitrary log magnitude function; autoregressive-moving average; digital filters; equiripple approximation; fast recursive algorithm; frequency domain; iterative weighted least-squares; least-squares approximation; weight updating procedure; Digital filters; Equations; Error correction; Frequency domain analysis; Frequency response; Iterative algorithms; Iterative methods; Laboratories; Machinery; Nonlinear filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Conference_Location

New York, NY

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1988.196873

Filename

196873