Novel stable higher order s-to-Z transforms

Mohamad Adnan Al-Alaoui

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Novel stable higher order s-to-Z transforms

机译：新型稳定的高阶 s-to-Z 变换

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摘要

Novel stable higher order s-to-z transforms are introduced. A class of second-order stable transforms is obtained by stabilizing the class of second-order integrators resulting from interpolating the Simpson and the trapezoidal rules. In addition new transforms are obtained by stabilizing the s-to-z mapping functions obtained from the Adams-Moulton numerical integration formulas. The approach is general and can be applied to other integration rules to obtain stable transforms. An important advantage of the new stabilized rules is that they yield minimum phase filters when applied to analog all-pole filters.

机译：该文介绍了一种新型稳定的高阶s-to-z变换。通过对 Simpson 和梯形规则进行插值产生的二阶积分器类进行稳定化，得到一类二阶稳定变换。此外，通过稳定从Adams-Moulton数值积分公式获得的s-to-z映射函数，获得了新的变换。该方法是通用的，可以应用于其他集成规则以获得稳定的变换。新的稳定规则的一个重要优点是，当应用于模拟全极点滤波器时，它们会产生最小相位滤波器。

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来源
《IEEE Transactions on Automatic Control》 |2001年第11期|1326-1329|共4页
作者
Mohamad Adnan Al-Alaoui;
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原文格式 PDF
正文语种英语
中图分类自动化系统;
关键词
Differentiators; Digital filters; Digital signal processing; Integrators; s-to-z transforms; Simpson rule; Trapezoidal rule;

机译：差异化优势;数字滤波器;数字信号处理;集成商;S-to-Z 转换;辛普森法则;梯形规则;

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Novel stable higher order s-to-Z transforms

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