Positive Trigonometric Polynomials and Signal Processing Applications
Positive Trigonometric Polynomials and Signal Processing Applications
IIR digital filter design with new stability constraint based on argument principle
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Minimax design of IIR digital filters using SDP relaxation technique
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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
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
IEEE Transactions on Signal Processing
Design of IIR filters using a pole-zero mapping approach
Digital Signal Processing
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In this paper, a novel method for IIR digital filter design using iterative second-order cone programming (SOCP) is proposed under the minimax criterion. The convex relaxation technique is utilized to transform the original nonconvex design problem into an SOCP problem. By solving the relaxed problem, the lower and upper bounds on the optimal value of the original problem can be obtained. In order to reduce the discrepancy between the original and relaxed design problems, an iterative procedure is developed. At each iteration, a linear constraint is further incorporated to guarantee the convergence of the iterative procedure. In practice, the convergence speed can be further improved by introducing a soft threshold variable in this linear constraint. Accordingly, a regularization term is incorporated in the objective function of the desigu problem at each iteration. The stability of the designed filters can be ensured by a new positive realness based linear constraint. Several examples are presented to demonstrate the effectiveness of the proposed method.