DocumentCode :
1354702
Title :
Design of IIR filters in the complex domain
Author :
Chen, Xiangkun ; Parks, Thomas W.
Author_Institution :
Anadrill/Schlumberger, Sugar Land, TX, USA
Volume :
38
Issue :
6
fYear :
1990
fDate :
6/1/1990 12:00:00 AM
Firstpage :
910
Lastpage :
920
Abstract :
The problem of IIR (infinite impulse response) digital filter design in the complex domain is formulated in a way such that the existence of the best approximation is guaranteed. An efficient algorithm based on the Ellacott-Williams method is proposed to solve the problem. The algorithm separately designs the numerator and denominator, and uses a linear programming method to solve the linear complex approximation problem. For each iteration, it requires only half the computations of the Ellacott-Williams algorithm. The locally best approximation is usually found in five iterations and has an exactly equiripple error. Two ways to establish good initial points are presented. IIR filters are designed which have nearly linear phase in the passbands. Degenerate design can be detected and is shown by an example. Comparisons among several kinds of the optimal digital filters are given
Keywords :
digital filters; filtering and prediction theory; iterative methods; linear programming; Ellacott-Williams method; IIR filters; complex domain; denominator; digital filter design; equiripple error; infinite impulse response; linear complex approximation problem; linear programming; numerator; Algorithm design and analysis; Approximation algorithms; Chebyshev approximation; Computer errors; Digital filters; IIR filters; Linear approximation; Linear programming; Nonlinear filters; Taylor series;
fLanguage :
English
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
0096-3518
Type :
jour
DOI :
10.1109/29.56052
Filename :
56052
Link To Document :
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