NDLI: Fractional order oscillator with independent control of phase and frequency

Content Provider	IEEE Xplore Digital Library
Author	Said, Lobna A. Madian, Ahmed H. Radwan, Ahmed G. Soliman, Ahmed M.
Copyright Year	2014
Description	Author affiliation: Electronics and comm. Eng. Dept., Cairo University, Egypt (Soliman, Ahmed M.) \|\| Electronics Dept., Faculty of IET, German University in Cairo (GUC), Egypt (Madian, Ahmed H.) \|\| Dept. of Engineering Mathematics Cairo University, Egypt (Radwan, Ahmed G.) \|\| Mathematics Dept., Faculty of IET, German University in Cairo (GUC), Egypt (Said, Lobna A.)
Abstract	This paper generalizes the concept of the oscillators based on the operational transresistance amplifier (OTRA) into the fractional order domain. The added parameter in the fractional-order design is an important in practical and can model the non-ideality of the conventional capacitors. The general condition and frequency of oscillation have been derived analytically in terms of the circuit components and the fractional order parameters. Different special cases are introduced based on the extra fractional-order parameters in which some features are appeared in the fractional-order circuit only. Through the proposed circuit, the phase and frequency can be controlled individually via the fractional order parameters. Numerical and Spice simulation results of different fractional-order oscillators are presented to validate the analytical formulas.
Starting Page	224
Ending Page	229
File Size	788656
Page Count	6
File Format	PDF
ISBN	9781479961030
DOI	10.1109/ICED.2014.7015803
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-08-19
Publisher Place	Malaysia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	OTRA Capacitors Numerical models Integrated circuit modeling Oscillators Fractional calculus Equations
Content Type	Text
Resource Type	Article

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