Optimal design of nonlinear-phase FIR filters with prescribed phase error
IEEE Transactions on Signal Processing
IIR digital filter design with new stability constraint based on argument principle
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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
Multistage IIR filter design using convex stability domains defined by positive realness
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
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The minimax design of infinite impulse response (IIR) digital filters is a nonconvex optimization problem, and thus has many local minima. It is shown in this correspondence that a sequential constrained least-squares (SCLS) method has a higher possibility of obtaining better solutions than a direct minimization method when applied to the nonconvex minimax design of IIR filters. We combine the SCLS method with a Steiglitz-McBride (SM) strategy, resulting in a practical design procedure. The positive realness stability condition proposed by Dumitrescu and Niemisto is reformulated as linear inequality constraints and then incorporated in the design procedure. Simulation examples and comparisons with several existing methods demonstrate the effectiveness of the procedure and good performances of the designed filters.