Paper Info
Title
Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates
Abstract
In this paper, minimax design of infinite-impulse-response (IIR) filters with prescribed stability margin is formulated as a conic quadratic programming (CQP) problem. CQP is known as a class of well-structured convex programming problems for which efficient interior-point solvers are available. By considering factorized denominators, the proposed formulation incorporates a set of linear constraints that are sufficient and near necessary for the IIR filter to have a prescribed stability margin. A second-order cone condition on the magnitude of each update that ensures the validity of a key linear approximation used in the design is also included in the formulation and eliminates a line-search step. Collectively, these features lead to improved designs relative to several established methods. The paper then moves on to extend the proposed design methodology to quadrantally symmetric two-dimensional (2-D) digital filters. Simulation results for both one-dimensional (1-D) and 2-D cases are presented to illustrate the new design algorithms and demonstrate their performance in comparison with several existing methods.
Year
DOI
Venue
2003
10.1109/TSP.2003.811229
IEEE Transactions on Signal Processing
Keywords
DocType
Volume
proposed design methodology,infinite-impulse-response filters,iir digital filters,robust stability,quadratic programming,2-d cases,2-d case,second-order cone condition,prescribed stability margin,iir digital filter,conic quadratic programming,new design algorithm,linear constraint,linear approximation,convex programming,cqp problem,line-search step,optimal design,well-structured convex programming problems,quadrantally symmetric two-dimensional digital filters,minimax design,improved design,iir filter,one-dimensional cases,iir filters,stability,conic-quadratic-programming updates,key linear approximation,linear constraints,two-dimensional digital filters,interior-point solvers,transfer functions,design optimization,interior point,constraint optimization,design methodology,indexing terms,infinite impulse response,digital filter,quadratic program,digital filters,line search
Journal
51
Issue
ISSN
Citations 
6
1053-587X
49
PageRank 
References 
Authors
3.19
8
2
Name
Order
Citations
PageRank
Wu-Sheng Lu129624.90
T. Hinamoto2739.09