Realization of a higher fractional order element based on novel OTA based IIMC and its application in filter

Abstract

This paper presents higher order fractional element using the concept of impedance inverter circuit based on operational transcoductance amplifier (OTA). Firstly the concept of OTA impedance inverter is generalized in fractional domain which is followed by presentation of novel OTA based inverted impedance multiplier circuit (IIMC) and its generalization. Effect of OTA parasites on performance of proposed IIMC is also presented. The usefulness of the proposal is illustrated through implementation of fractional order filter of higher order using IIMC. The functional verification of all proposed circuits is done through SPICE simulations using 0.18 µm TSMC CMOS technology parameter. The fractional capacitors of orders 0.2 and 0.5 are realized using truncated infinite order domino RC ladder network and are considered for all simulations in this work. The proposed IIMC is experimentally verified through hardware prototyping using LM 13600N dual OTAs IC. The simulation and experimental results corroborate with theoretical prepositions.