Stability and margin of stability tests for multidimensional filters

Eugene Curtin; Salim Saba

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Stability and margin of stability tests for multidimensional filters

机译：多维过滤器的稳定性和稳定性余量测试

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In this paper we give simplified proofs of the stability and the margin of stability criteria of Zeheb and Walach for n- dimensional recursive digital filters. We base our proofs on the method of Lagrange multipliers. Both the stability and margin of stability questions are converted into the problem of locating the zeros of a system of polynomial equations. These systems can then be solved using Buchberger's algorithm for computing the Groebner basis of a polynomial ideal.

机译：在本文中，我们给出了 Zeheb 和 Walach 对 n 维递归数字滤波器的稳定性和稳定性裕度准则的简化证明。我们的证明基于拉格朗日乘数的方法。稳定性问题和裕度问题都转换为多项式方程组的零点定位问题。然后可以使用 Buchberger 算法来计算多项式理想的 Groebner 基来求解这些系统。

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《IEEE Transactions on Automatic Control》 |1999年第7期|806-809|共4页
作者
Eugene Curtin; Salim Saba;
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正文语种英语
中图分类自动化系统;
关键词
Digital filter wordlength effects; Multivariable systems; Polynomials; Recursive digital filters; Signal processing; Stability criteria;

机译：数字滤波字长效果;多变量系统;多项式;递归数字滤波器;信号处理;稳定性标准;

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Stability and margin of stability tests for multidimensional filters

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