Generalization of shadow filters in fractional domain,International Journal of Circuit Theory and Applications

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Generalization of shadow filters in fractional domain
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2021-05-20 , DOI: 10.1002/cta.3054
Garima Varshney ₁ , Neeta Pandey ₁ , Rajeshwari Pandey ₁

Affiliation

This work is intended to generalize the design of shadow filters to the fractional-order domain. Shadow filters, in integer-order domain, introduced by Lakys and Fabre, consist of an external amplifier in the feedback loop of the basic filter cell and by varying the gain of this amplifier the parameters of the resulting filter are modified without disturbing the active and passive components of the filter itself. In particular, we consider here the case where a basic 2α order filter is constructed using two fractional-order capacitors both of the same order α. Mathematical formulations are drafted for pole frequency and pole quality factor for different feedback signals with various cases of stability and demonstrated using MATLAB simulations. Functional verification of the proposed theory is verified using an active filter example, designed around operational transconductance amplifier (OTA), through SPICE using 180 nm CMOS technology model parameters.

中文翻译：

分数域中阴影滤波器的推广

这项工作旨在将阴影滤波器的设计推广到分数阶域。在整数阶域中，由 Lakys 和 Fabre 引入的阴影滤波器由基本滤波器单元反馈环路中的外部放大器组成，通过改变该放大器的增益，可以在不干扰有源和滤波器本身的无源元件。特别是，我们这里考虑其中一个基本的2的情况下α使用两个分数阶电容器两者的顺序相同的构造阶滤波器α. 为具有各种稳定性情况的不同反馈信号起草了极点频率和极点品质因数的数学公式，并使用 MATLAB 仿真进行了演示。所提出的理论的功能验证通过使用 180 nm CMOS 技术模型参数的 SPICE 使用有源滤波器示例进行验证，该示例围绕运算跨导放大器 (OTA) 设计。

更新日期：2021-05-20

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