Fractional-order passive low-pass filters

Author

Ahmad, Wajdi ; El-Khazafi, R.

Author_Institution

Electr., Electron., & Comput. Engg, Univ. of Sharjah, United Arab Emirates

Volume

1

fYear

2003

fDate

14-17 Dec. 2003

Firstpage

160

Abstract

This paper numerically investigates the behavior of passive RC low pass filters when the capacitive element acquires a fractional order. The effect of the fractional capacitor on time and frequency-domain responses is studied. We demonstrate that second-order-type characteristics can be obtained from a fractional RC circuit fractional order between 1 and 2.

Keywords

Bode diagrams; RC circuits; cascade networks; fractals; frequency-domain analysis; low-pass filters; passive filters; step response; time-domain analysis; transfer functions; Bode magnitude; Riemann-Liouville definition; cascaded filter models; fractional capacitor; fractional integrals; fractional order; frequency-domain responses; passive RC low pass filters; second-order-type characteristics; single-stage filter models; step response; time-domain responses; transfer function; Capacitors; Circuit analysis; Circuit synthesis; Frequency domain analysis; Low pass filters; Mathematical model; Numerical simulation; Passive filters; Transfer functions; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003 10th IEEE International Conference on

Print_ISBN

0-7803-8163-7

Type

conf

DOI

10.1109/ICECS.2003.1302001

Filename

1302001