Analysis And Performance Improvement Of Fractional Order Filters

Abstract

The aim of this research is to explore both theoretically and experimentally newlinedifferent applications of the fractional-order (FO) analog circuits using fractional-order newlineelements (FOE) realized either through cross RC or the domino ladder network. The newlinetime domain and frequency domain analysis of FO filters have been investigated. A FO newlinebandpass filter is modeled and its performance analysis is explored by using fractional newlinecapacitor (FC) and fractional inductor (FI). Additionally, the performance newlineimprovement can be observed using an optimization technique to maximize its quality newlinefactor Q, then it is compared with an integer-order (IO) counterpart. newlineThe design of a FO twin-T notch filter is investigated by analyzing a traditional newlinenotch filter in its fractional domain. The frequency domain analysis of the proposed newlinefilter was established by varying the orders of three FCs. The comparative analysis of newlinequality factor (Q) and centre frequency (f0) with optimum orders of filter has been newlinepresented. The Genetic Algorithm optimization technique finds the maximum Q in the newlinelow frequency range. The study on bandstop and allpass filter employing FC and FI was newlineconducted to support the re-configuration property in frequency domain. The frequency newlineresponse is simulated with the variation of fractional exponents (and#945;, and#946;) in the proposed newlinefilters. The goal of developing a FO allpass and bandstop filter is to explore the newlinedependence of notch and allpass characteristics on fractional exponents of the proposed newlinefilters. It has been experimentally proved that the allpass filter response resembles that newlineof the notch filter at specific orders of and#945; and and#946;. Thus, the flexibility in developing the newlinenotch frequency in a FO allpass filter realizes a bandstop filter with desired newlinespecifications. A unit step response was used to test the stability analysis of the newlinesuggested filters, and the frequency response was then compared with its IO newlinecounterpart. newlineThe aim of this work is to implement FO active filters employing FOEs and newlineinvestigate the impact of their perf