A Fractional-Order Transitional Butterworth-Butterworth Filter and Its Experimental Validation
A Fractional-Order Transitional Butterworth-Butterworth Filter and Its Experimental Validation
复制标题
分数阶过渡巴特沃斯-巴特沃斯滤波器及其实验验证
作者：
S. Mahata;N. Herencsar;D. Kubánek;R. Kar;D. Mandal;I. C. Göknar
本文将经典的过渡巴特沃斯滤波器（TBBF）推广到分数阶域。FO-TBBF的稳定有理逼近是最优实现的。几个设计实例证明了所提出的方法的鲁棒性和建模效率。提出了一种采用电流反馈运算放大器作为有源元件的实用电路实现方法。实验结果支持良好的协议（<inline-formula><tex-math notation="LaTeX">$ ext {R}^{2} = 0.999968$</tex-math></inline-formula>）与理论幅频特性的关系。
This paper introduces the generalization of the classical Transitional Butterworth-Butterworth Filter (TBBF) to the Fractional-Order (FO) domain. Stable rational approximants of the FO-TBBF are optimally realized. Several design examples demonstrate the robustness and modeling efficacy of the proposed method. Practical circuit implementation using the current feedback operational amplifier employed as an active element is presented. Experimental results endorse good agreement (<inline-formula> <tex-math notation="LaTeX">$ ext {R}^{2} = 0.999968$ </tex-math></inline-formula>) with the theoretical magnitude-frequency characteristic.