Title :
Fractional-order passive low-pass filters
Author :
Ahmad, Wajdi ; El-Khazafi, R.
Author_Institution :
Electr., Electron., & Comput. Engg, Univ. of Sharjah, United Arab Emirates
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;
Conference_Titel :
Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003 10th IEEE International Conference on
Print_ISBN :
0-7803-8163-7
DOI :
10.1109/ICECS.2003.1302001
