In this paper, a voltage mode (VM) multifunctional structure of fractional-order inverse filter using a single operational amplifier (op-amp) has been proposed. The proposed configuration of inverse filter has been designed using a novel R-C op-amp circuit using minimum number of active and passive components (one op-amp, two resistors and two simulated fractional-order capacitors). The presented structure, by appropriate choice(s) of different passive elements, can realize fractional-order inverse low-pass filter, fractional-order inverse band pass filter and fractional-order inverse high-pass filter. The circuits described are eminently suitable for VM signal processing as they have ideally infinite input impedance. Experimental results using µA741 op-amp, discrete resistors and simulated fractional-order capacitors (α = 0.7) realized using Valsa method, numerical simulations using MATLAB and circuit simulations using PSPICE have been presented to establish the workability of the proposed circuits. The stability and sensitivity analyses have also been presented for the realized fractional-order inverse filters.

在本文中，提出了使用单个运算放大器（op-amp）的分数阶逆滤波器的电压模式（VM）多功能结构。反向滤波器的建议配置是使用新颖的RC运算放大器电路设计的，该电路使用最少数量的有源和无源组件（一个运算放大器，两个电阻器和两个模拟分数阶电容器）。所提出的结构中，通过不同的无源元件的合适的选择（一个或多个），可实现分数阶逆低通滤波器，分数阶逆带通滤波器和分数阶逆高通滤波器。所描述的电路非常适合VM信号处理，因为它们具有理想的无限输入阻抗。使用µA741运算放大器，分立电阻和模拟分数阶电容器（α = 0.7）使用Valsa方法实现，已提出使用MATLAB进行数值模拟和使用PSPICE进行电路仿真，以建立所提出电路的可操作性。还对实现的分数阶逆滤波器进行了稳定性和灵敏度分析。