Fractional order four-phase oscillator based on double integrator topology


This paper presents a generalization of Soliman’s four-phase oscillator into the fractional-order domain. The extra degrees of freedom provided by the fractional-order parameters ? and ? add more flexibility to the design of the circuit. The design procedure and equations of the proposed oscillator are presented and verified using Matlab and PSPICE. Also, the stability analysis for fractional order systems is studied for different cases of ? and ?. © 2017 IEEE.


El-Naggar A.M., Said L.A., Radwan A.G., Madian A.H., Soliman A.M.


Caputo; Constant phase element; Fractional calculus; Oscillator

Document Type

Confrence Paper


2017 6th International Conference on Modern Circuits and Systems Technologies, MOCAST 2017, Art. No. 7937685, Doi: 10.1109/MOCAST.2017.7937685

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