Pseudo-Differential (2 + α)-Order Butterworth Frequency Filter
Pseudo-Differential (2 + α)-Order Butterworth Frequency Filter
复制标题
伪微分 (2 + α) 阶巴特沃斯频率滤波器
作者：
Ondrej Sladok;J. Koton;D. Kubánek;Jan Dvorak;C. Psychalinos
本文描述了阶数<inline-formula><tex-math notation="LaTeX">为2+alpha的</tex-math></inline-formula>模拟伪微分分数频率滤波器的设计，其中<inline-formula><tex-math notation="LaTeX">0 < alpha < 1</tex-math></inline-formula>。该滤波器工作在混合跨导纳模式（电压输入，电流输出），并根据巴特沃思近似提供低通频率响应。还介绍了确定分数<inline-formula><tex-math notation="LaTeX">阶α期望</tex-math></inline-formula>值所需传递函数系数的一般公式。所设计的滤波器提供了全差分解决方案的有益特性，但电路拓扑结构不太复杂。它是规范的，即它采用了最小数量的无源元件，而所有的都接地，和电流传送器作为有源元件。该结构具有高输入阻抗、高输出阻抗和高共模抑制比。通过简单的修改，也可以得到电压响应。所提出的频率滤波器的性能进行了验证，通过仿真和实验测量证明理论的有效性和滤波器的有利功能。
This paper describes the design of analog pseudo-differential fractional frequency filter with the order of <inline-formula> <tex-math notation="LaTeX">$(2+alpha)$ </tex-math></inline-formula>, where <inline-formula> <tex-math notation="LaTeX">$0 < alpha < 1$ </tex-math></inline-formula>. The filter operates in a mixed-transadmittance mode (voltage input, current output) and provides a low-pass frequency response according to Butterworth approximation. General formulas to determine the required transfer function coefficients for desired value of fractional order <inline-formula> <tex-math notation="LaTeX">$alpha $ </tex-math></inline-formula> are also introduced. The designed filter provides the beneficial features of fully-differential solutions but with a less complex circuit topology. It is canonical, i.e. it employs a minimum number of passive elements, whereas all are grounded, and current conveyors as active elements. The proposed structure offers high input impedance, high output impedance, and high common-mode rejection ratio. By simple modification, voltage response can also be obtained. The performance of the proposed frequency filter is verified both by simulations and experimental measurements proving the validity of theory and the advantageous features of the filter.