稳定IIR滤波器的复切比雪夫近似设计

T. Sugita, N. Aikawa
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引用次数: 3

摘要

本文提出了一种利用连续投影法设计任意幅值和相位响应的稳定IIR数字滤波器的极大极小设计方法。由于IIR滤波器的设计通常会导致一个复杂的逼近问题,因此将复杂逼近问题转化为一个实逼近问题,并采用SP方法求解。然后,我们利用Rouche定理的含义对SP方法进行修改,使其可以加入对最大极点半径的约束。因此,所得到的滤波器在切比雪夫意义上是稳定的和最优的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Complex Chebyshev approximation to stable IIR filters design
This paper presents a minimax design method of stable IIR digital filters with an arbitrary magnitude and phase response using the successive projection (SP) method. Because the design of IIR filters generally results in a complex approximation problem, the complex approximation problem is converted into a real approximation problem and its problem is solved using the SP method. Then, we use the implications of Rouche's theorem to modify the SP method in such a way that a constraint on the maximum pole radius can be incorporated. Hence, the filters obtained can be guaranteed to be stable and are optimum in the Chebyshev sense.
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