Abstract
In this paper for the first time a catalogue of linear voltage-controlled fractional-order oscillators employing multiplication-mode current conveyor (MMCC) have been systematically derived using state variable approach. The work also includes detailed relevant analysis of the derived oscillators. Furthermore, three special cases are considered for each of the derived oscillators. Non-ideal analysis has been done for all the oscillators to show the impact of port non-idealities on the frequency. Port parasitics are also examined to justify the deviation between the theoretical and the simulated frequency values against the controlling voltage. Fourier analysis has been carried out to find out the total harmonic distortion figures. Functionality of all the oscillators have been verified on PSPICE utilizing the library files of AD844 and AD835 to realize MMCC. Simulation results are also provided for each special case including the integer-order case. Relevant MATLAB plots are provided for one of the oscillators to facilitate comparison between factional-order and oscillation parameters of the oscillator.
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