Design of 2-D IIR Filters Using Two Error Criteria with Genetic Algorithm
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part I
Design of 2-D Approximately Zero-Phase Separable IIR Filters Using Genetic Algorithms
Large-Scale Scientific Computing
Design of robust D-stable IIR filters using genetic algorithms with embedded stability criterion
IEEE Transactions on Signal Processing
Minimax design of IIR digital filters using iterative SOCP
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Design methodology for nearly linear-phase recursive digital filters by constrained optimization
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
A neural network algorithm for second-order conic programming
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
An alternating direction method for second-order conic programming
Computers and Operations Research
Design of IIR filters using a pole-zero mapping approach
Digital Signal Processing
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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.