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dc.contributor.authorRadwan, Ahmed G.*
dc.contributor.authorSalama, Khaled N.*
dc.date.accessioned2015-08-24T08:35:48Zen
dc.date.available2015-08-24T08:35:48Zen
dc.date.issued2011-10en
dc.identifier.issn15498328en
dc.identifier.doi10.1109/TCSI.2011.2142690en
dc.identifier.urihttp://hdl.handle.net/10754/575684en
dc.description.abstractThis paper introduces a qualitative revision of the traditional LC tank circuit in the fractional domain. The paper can be divided into six major parts, aiming in turn to establish the various conditions under which L βCα impedance may act as a resistor, negative resistor, or a positive or negative pure imaginary inductor or capacitor, in accordance to new frequency definitions; illustrate the process by which the phase response chooses the shortest path from initial to final phase, and use this illustration to verify the cases discussed in part one; develop the generalized parameters for the bandpass filter response of the L βCα circuit, such as the resonance frequency and quality factor versus α-β plane; discuss sensitivity analyses with respect to the fractional orders, as well as the time domain analyses for the impulse and step responses with their analytical formulas; and lastly, to propose some possible applications for this generalized circuit. Mathematical and PSpice simulation results are included to validate the discussion. © 2011 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectfractional oscillationen
dc.subjectNegative resistoren
dc.subjectquality factoren
dc.subjectresonanceen
dc.subjectsensitivity analysisen
dc.titlePassive and active elements using fractional Lβ C α circuiten
dc.typeArticleen
dc.contributor.departmentElectrical Engineering Program*
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division*
dc.contributor.departmentSensors Lab*
dc.identifier.journalIEEE Transactions on Circuits and Systems I: Regular Papersen
dc.contributor.institutionFaculty of Engineering, Cairo University, Cairo 12613, Egypt*
kaust.authorSalama, Khaled N.*
kaust.authorRadwan, Ahmed G.*


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