An argument-principle based stability criterion and application to the design of IIR digital filters
An argument-principle based stability criterion and application to the design of IIR digital filters
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DOI：
10.1109/iscas.2006.1693612
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发表时间：
2006-05
期刊：
影响因子：
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通讯作者：
Wu-Sheng Lu
中科院分区：
文献类型：
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作者：
Wu-Sheng Lu
提出了一种基于复数分析的参数原理（AP）的极点半径约束IIR数字滤波器设计方法。与文献中现有的稳定性约束是充分而非必要的稳定性约束不同，本文提出的基于ap的稳定性条件是充分和必要的。我们证明了加权最小二乘和极大极小设计的鲁棒稳定IIR滤波器可以在方便的凸规划设置中完成，其中所提出的稳定性准则可以很容易地合并为一个单一的等式约束，不依赖于除滤波器的分母系数以外的任何参数。设计实例说明了所提算法的有效性
A method for the design of IIR digital filters with pole radius constraint based on the argument principle (AP) from complex analysis is proposed. Unlike the stability constraints available in the literature which are sufficient but not necessary stability constraints, the proposed AP-based stability condition is both sufficient and necessary. We show that weighted least-squares and minimax designs of robustly stable IIR filters can be accomplished in convenient convex programming settings where the proposed stability criterion can easily be incorporated as a single equality constraint that does not depend on any parameters other then filter's denominator coefficients. Design examples are presented to illustrate the usefulness of the proposed algorithms