Butterworth passive filter in the fractional-order

Ahmed Sołtan, Ahmed G. Radwan, Ahmed M. Soliman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations

Abstract

In this paper, the generalized analysis of the first Butterworth filter based on two passive elements is introduced in the fractional-order sense. The fractional-order condition of the Butterworth circuit is presented for the first time where it will lead us back to the known condition of the integer-order circuit when the two fractional-orders equal one. Therefore, the conventional behavior of the integer-order circuit is a narrow subset of the fractional-order ones. The circuit is studied under same and different order cases, and verified through their numerical simulations. Stability analysis is also introduced showing the poles location in the fractional-order versus integer order cases. © 2011 IEEE.
Original languageEnglish (US)
Title of host publicationICM 2011 Proceeding
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781457722073
DOIs
StatePublished - Dec 2011

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