NDLI: Minimax design of IIR digital filters using SDP relaxation technique

Content Provider	IEEE Xplore Digital Library
Author	Aimin Jiang Hon Keung Kwan
Copyright Year	2009
Description	Author affiliation: Department of Electrical and Computer Engineering, University of Windsor, 401 Sunset Avenue, Ontario, Canada N9B 3P4 (Aimin Jiang; Hon Keung Kwan)
Abstract	In this paper, a new iterative algorithm is proposed to design IIR digital filters in the minimax sense. Instead of directly minimizing the error limit of the approximation error, the proposed algorithm employs a bisection searching procedure to locate the minimum error limit. At each iteration, a feasibility problem with a given error limit is to be solved, which is constructed by applying the semidefinite programming (SDP) relaxation technique to transform the nonconvex approximation error into a convex form. In practice, however, the truly minimax solution cannot be always obtained by using this iterative procedure. Therefore, a regularization term needs to be incorporated in the objective of the feasibility problem at each iteration. Another bisection searching procedure is then deployed to find the minimum weight utilized in the regularized objective function of the feasibility problem. The stability of designed filters can be guaranteed by a monitoring strategy, which does not need to incorporate any other constraint to the formulation of the feasibility problem. The convergence of the proposed method can be guaranteed. The performances have been demonstrated by filter examples.
Starting Page	477
Ending Page	480
File Size	774071
Page Count	4
File Format	PDF
ISBN	9781424438273
DOI	10.1109/ISCAS.2009.5117789
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-05-24
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Minimax techniques Digital filters Approximation error Iterative algorithms IIR filters Algorithm design and analysis Finite impulse response filter Frequency response Approximation algorithms Stability
Content Type	Text
Resource Type	Article

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