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首页> 外文期刊>International Journal of Innovative Computing Information and Control >A DESIGN METHOD FOR 1-D IIR FILTERS WITH A NECESSARY AND SUFFICIENT STABILITY CRITERION
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A DESIGN METHOD FOR 1-D IIR FILTERS WITH A NECESSARY AND SUFFICIENT STABILITY CRITERION

机译：具有充分稳定准则的一维IIR滤波器的设计方法

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摘要

In general, it is necessary to guarantee stability when designing of One-dimensional (1-D) infinite impulse response (IIR) filters. Methods for guaranteeing stability by using Rouche's theorem, the positive realness condition, or a method based on the positive realness have previously been proposed for defining the necessary iterative approximation algorithm. In these cases, the conventional stability criteria become the sufficient condition to guarantee stability. As a result, the stability domains obtained using these criteria are narrow and variable. In the present paper, we propose a design method of 1-D IIR filters, which applies a stability criterion based on the system matrix to the successive projection (SP) method. The stability criterion based on the system matrix in the proposed method becomes the necessary and sufficient condition for guaranteeing stability. Therefore, the stability domain does not depend on denominator polynomial coefficients, and the domain is not variable. Moreover, the stability domain is wider than that by the conventional stability criteria. As a result, 1-D IIR filters obtained using the proposed method have a smaller ripple than those from using conventional methods. In addition, the proposed design method realizes faster design times than those from using the conventional design methods.
机译：通常，在设计一维（1-D）无限冲激响应（IIR）滤波器时，必须保证稳定性。先前已经提出了使用Rouche定理，正实性条件或基于正实性的方法来保证稳定性的方法，用于定义必要的迭代逼近算法。在这些情况下，常规的稳定性标准成为保证稳定性的充分条件。结果，使用这些标准获得的稳定性域是狭窄且可变的。在本文中，我们提出了一种一维IIR滤波器的设计方法，该方法将基于系统矩阵的稳定性标准应用于逐次投影（SP）方法。该方法基于系统矩阵的稳定性判据成为保证稳定性的必要和充分条件。因此，稳定域不取决于分母多项式系数，并且该域不可变。此外，稳定性域比常规稳定性标准更宽。结果，与使用常规方法获得的一维IIR滤波器相比，使用本方法获得的一维IIR滤波器具有较小的波纹。另外，与使用常规设计方法相比，所提出的设计方法实现了更快的设计时间。

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