A simple Remez exchange algorithm to design IIR filters with zeros on the unit circle

Author

Jackson, Leland B. ; Lemay, Gerald J.

Author_Institution

Rhode Island Univ., Kingston, RI, USA

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1333

Abstract

The Martinez-Parks (1978) approach to the design of IIR (infinite impulse response) filters with zeros on the unit circle is modified to provide linear equations at each step of the associated Remez exchange algorithm, greatly simplifying and accelerating the algorithm. Arbitrary upper and lower constraints can be specified on the magnitude response, with equiripple designs including elliptic and Chebyshev (type I) filters as special cases. Examples are given to demonstrate the design method

Keywords

digital filters; poles and zeros; Chebyshev filters; IIR filters; Martinez-Parks approach; Remez exchange algorithm; design; elliptic filters; equiripple designs; infinite impulse response; linear equations; lower constraints; magnitude response; type I filters; unit circle; upper constraints; zeros; Acceleration; Algorithm design and analysis; Chebyshev approximation; Design methodology; Digital filters; Equations; Finite impulse response filter; IIR filters; Iterative algorithms; Nonlinear equations; Nonlinear filters; Passband; Poles and zeros;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115626

Filename

115626