Butterworth passive filter in the fractional-order

Ahmed Sołtan; Ahmed G. Radwan; Ahmed M. Soliman

doi:10.1109/ICM.2011.6177365

Butterworth passive filter in the fractional-order

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

Physical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

21 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 language	English (US)
Title of host publication	ICM 2011 Proceeding
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)	9781457722073
DOIs	https://doi.org/10.1109/ICM.2011.6177365
State	Published - Dec 2011

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KAUST Repository Item: Exported on 2020-10-01

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10.1109/ICM.2011.6177365

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title = "Butterworth passive filter in the fractional-order",

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. {\textcopyright} 2011 IEEE.",

author = "Ahmed So{\l}tan and Radwan, {Ahmed G.} and Soliman, {Ahmed M.}",

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year = "2011",

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doi = "10.1109/ICM.2011.6177365",

language = "English (US)",

isbn = "9781457722073",

booktitle = "ICM 2011 Proceeding",

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T1 - Butterworth passive filter in the fractional-order

AU - Sołtan, Ahmed

AU - Radwan, Ahmed G.

AU - Soliman, Ahmed M.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2011/12

Y1 - 2011/12

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/564473

UR - http://ieeexplore.ieee.org/document/6177365/

UR - http://www.scopus.com/inward/record.url?scp=84860677464&partnerID=8YFLogxK

U2 - 10.1109/ICM.2011.6177365

DO - 10.1109/ICM.2011.6177365

M3 - Conference contribution

SN - 9781457722073

BT - ICM 2011 Proceeding

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Butterworth passive filter in the fractional-order

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