A Sequential Minimization Procedure for Minimax Design of IIR Filters Based on Second-Order Factor Updates
A Sequential Minimization Procedure for Minimax Design of IIR Filters Based on Second-Order Factor Updates
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DOI：
10.1109/tcsii.2010.2092820
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Xiaoping Lai;Zhiping Lin;H. Kwan
中科院分区：
文献类型：
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作者：
Xiaoping Lai;Zhiping Lin;H. Kwan
为了充分利用基于稳定三角形的稳定性条件的线性性、必要性和充分性，本文提出了一种序列最小化方法，将无限脉冲响应滤波器的极大极小设计转化为极大极小子问题序列。除分子外，在每个极大极小子问题中只有分母的一个二阶因子是最优的。然后将序列最小化过程与基于levy - sanathanan - koerner的子问题直接最小化方法相结合。许多IIR滤波器已经设计使用所提出的程序。给出了三个算例，将该方法与最近的一些设计方法进行了比较。设计结果表明，该方法得到了较好的极大极小滤波器。
In order to make good use of the linearity, necessity, and sufficiency of the stability-triangle-based stability conditions, a sequential minimization procedure is proposed in this brief to convert the minimax design of an infinite impulse response (IIR) filter to a sequence of minimax subproblems. Aside from the numerator, only one second-order factor of the denominator is optimized in each of the minimax subproblems. The sequential minimization procedure is then combined with a Levy-Sanathanan-Koerner-based direct minimization method for the subproblems. Many IIR filters have been designed using the proposed procedure. Three examples are provided for a comparison of the procedure with some recent design methods. Design results show that the proposed procedure has obtained much better minimax filters.