Electronically tunable positive and negative fractional order inductor circuit using single topology

Abstract

This article presents electronically tunable grounded and floating fractional order inductor circuits. The proposed circuits employ two operational transconductance amplifiers (OTAs), one fractional order capacitor, one inverter and four MOS switches and are capable to work in positive mode and negative mode without change in topology. The behaviour of the proposed circuit is also analyzed in presence of parasites that may appear in the practical circuit. The functional verification is done via pre and post layout simulations at 90 nm CMOS technology parameter. The usefulness of the proposed positive fractional inductor circuit is demonstrated through fractional order band pass filter and fractional order high pass ladder filter. The performance of the proposed negative fractional inductance circuit is demonstrated through a fractional inductance cancellation circuit.