SIAM Review
Convex Optimization
A WISE method for designing IIR filters
IEEE Transactions on Signal Processing
A weighted least-squares method for the design of stable 1-D and2-D IIR digital filters
IEEE Transactions on Signal Processing
Least-squares approximation of FIR by IIR digital filters
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IIR Approximation of FIR Filters Via Discrete-Time Vector Fitting
IEEE Transactions on Signal Processing
Multistage IIR filter design using convex stability domains defined by positive realness
IEEE Transactions on Signal Processing
The use of model reduction techniques for designing IIR filterswith linear phase in the passband
IEEE Transactions on Signal Processing
Weighted least-squares approximation of FIR by IIR digital filters
IEEE Transactions on Signal Processing
A novel approach to stable iir digital filter design
ICICS'09 Proceedings of the 7th international conference on Information, communications and signal processing
Minimax design of IIR digital filters using iterative SOCP
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Minimax design of IIR digital filters using a sequential constrained least-squares method
IEEE Transactions on Signal Processing
Minimax design of IIR digital filters using SDP relaxation technique
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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This paper presents a weighted least squares (WLS) method for IIR digital filter design using a new stability constraint. Utilizing the reweighting technique, an iterative second-order cone programming (SOCP) method is employed to solve the design problem, such that either linear or second-order cone constraints can be further incorporated. In order to guarantee the stability of designed IIR digital filters, a new stability constraint with a prescribed pole radius is derived from the argument principle (AP) of complex analysis. As compared with other frequency-domain stability constraints, the AP-based stability constraint is both sufficient and necessary. Since the derived stability constraint cannot be directly incorporated in the iterative SOCP method, the similar reweighting technique is deployed to approximate the stability constraint in a quadratic form, which is then combined with the WLS iterative design process. Filter design examples are presented to demonstrate the effectiveness of the proposed iterative SOCP method.