Analytical impulse response of a fractional second order filter and its impulse response invariant discretization

作者：Li, Yan; Sheng, Hu; Chen, YangQuan^*

来源：Signal Processing, 2011, 91(3): 498-507.

DOI：10.1016/j.sigpro.2010.01.017

• Fractional order filter
• Complex integral
• Discretization method

In this paper, we derive the impulse response of a fractional second order filter of the form (s(2)+as+b)(-7), where a,b >= 0 and gamma > 0. The asymptotic properties of the impulse responses are obtained. Moreover, based on the derived analytical impulse response, we show how to perform the discretization of the above fractional second order filter. Finally, a number of illustrated examples in time and frequency domains are provided as proofs of concepts.

• 出版日期2011-3
• 单位大连理工大学; 山东大学