Minimax Design of IIR Digital Filters Using a Sequential Constrained Least-Squares Method

作者：Lai, Xiaoping^*; Lin, Zhiping

来源：IEEE Transactions on Signal Processing, 2010, 58(7): 3901-3906.

DOI：10.1109/TSP.2010.2046899

• Infinite impulse response (IIR) digital filters
• minimax design
• sequential constrained least-squares
• Steiglitz-McBride (SM) strategy

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.

• 出版日期2010-7
• 单位南阳理工学院; 杭州电子科技大学