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.

在本文中，首次使用状态变量方法系统地得出了采用乘法模式电流传输器（MMCC）的线性电压控制分数阶振荡器的目录。这项工作还包括对衍生振荡器的详细相关分析。此外，对于每个导出的振荡器，考虑三种特殊情况。已经对所有振荡器进行了非理想分析，以显示端口非理想性对频率的影响。还检查了端口寄生效应，以证明理论频率值和模拟频率值之间相对于控制电压的偏差是合理的。已经进行了傅里叶分析以找出总的谐波失真值。利用AD844和AD835的库文件在MMCC上，已在PSPICE上验证了所有振荡器的功能。还为每种特殊情况（包括整数阶情况）提供了仿真结果。为其中一个振荡器提供了相关的MATLAB图，以便于比较振荡器的派生阶数和振荡参数。