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FIRST-ORDER FILTERS GENERALIZED TO THE FRACTIONAL DOMAIN

A. G. RADWAN

Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Egypt

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A. M. SOLIMAN

Department of Electronics and Communications, Faculty of Engineering, Cairo University, Egypt

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, and

A. S. ELWAKIL

Department of Electrical and Computer Engineering, University of Sharjah, P. O. Box 27272, Emirates

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https://doi.org/10.1142/S0218126608004162Cited by:218 (Source: Crossref)

Abstract

Traditional continuous-time filters are of integer order. However, using fractional calculus, filters may also be represented by the more general fractional-order differential equations in which case integer-order filters are only a tight subset of fractional-order filters. In this work, we show that low-pass, high-pass, band-pass, and all-pass filters can be realized with circuits incorporating a single fractance device. We derive expressions for the pole frequencies, the quality factor, the right-phase frequencies, and the half-power frequencies. Examples of fractional passive filters supported by numerical and PSpice simulations are given.

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