A comparative study on the Implementation of Fractional Order Butterworth Lowpass Filter using Differential Voltage Current Conveyor

Abstract

In this paper, two fractance devices and an active implementation of a differential voltage current conveyor (DVCC) based on a Butterworth lowpass filter in fractional order are presented (FDs). The transfer function for a frac- tional order system is initially established. The conventional fractional order Butterworth equa- tion is then used to compare the transfer func- tion of the created system. This can be equated to obtain the generalised condition under which the created system functions as a Butterworth fil- ter of fractional order. Additionally, using Monte Carlo analysis, the impact of current and voltage faults on DVCC response is investigated. Finally, to validate the theoretical results, a fractional or- der Butterworth filter is simulated in the PSpice environment using 0.5 μm CMOS technology us- ing a suggested R-C network-based fractional or- der capacitor.