Impulse response of a generalized fractional second order filter

被引：0

作者：

Zhuang Jiao

YangQuan Chen

机构：

[1] Tsinghua University,Department of Automation

[2] Utah State University,Center for Self

来源：

Fractional Calculus and Applied Analysis | 2012年 / 15卷

关键词：

generalized fractional second order filter; fractional-order signal processing; impulse response; critically stable; Primary 26A33; Secondary 33E12, 34A08, 34K37, 35R11, 60G22;

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学科分类号：

摘要：

The impulse response of a generalized fractional second order filter of the form (s2α + asα + b)−γ is derived, where 0 < α ≤ 1, 0 < γ < 2. The asymptotic properties of the impulse responses are obtained for two cases, and within these two cases, the properties are shown when changing the value of γ. It is shown that only when (s2α + asα + b)−1 has the critical stability property, the generalized fractional second order filter (s2α + asα + b)−γ has different properties as we change the value of γ. Finally, numerical examples to illustrate the impulse response are provided to verify the obtained results.

引用

页码：97 / 116

页数：19