ON THE GENERALIZATION OF SECOND-ORDER FILTERS TO THE FRACTIONAL-ORDER DOMAIN

被引：174

作者：

Radwan, A. G. ^{[1
]}

Elwakil, A. S. ^{[2
]}

Soliman, A. M. ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Cairo, Egypt

[2] Univ Sharjah, Dept Elect & Comp Engn, Sharjah, U Arab Emirates

[3] Cairo Univ, Fac Engn, Dept Elect & Commun, Cairo, Egypt

来源：

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS | 2009年 / 18卷 / 02期

关键词：

Circuit theory; filter theory; fractional calculus; SINUSOIDAL OSCILLATORS; REALIZATION; IMMITTANCE;

D O I：

10.1142/S0218126609005125

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work is aimed at generalizing the design of continuous-time second-order filters to the non-integer-order (fractional-order) domain. In particular, we consider here the case where a filter is constructed using two fractional-order capacitors both of the same order alpha. A fractional-order capacitor is one whose impedance is Z(c) = 1/C(jw)(alpha), C is the capacitance and alpha (0 < alpha <= 1) is its order. We generalize the design equations for low-pass, high-pass, band-pass, all-pass and notch filters with stability constraints considered. Several practical active filter design examples are then illustrated supported with numerical and PSpice simulations. Further, we show for the first time experimental results using the fractional capacitive probe described in Ref. 1.

引用

页码：361 / 386

页数：26

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