Optimal approximation of asymmetric type fractional‐order bandpass Butterworth filter using decomposition technique,International Journal of Circuit Theory and Applications

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Optimal approximation of asymmetric type fractional‐order bandpass Butterworth filter using decomposition technique
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-07-08 , DOI: 10.1002/cta.2835
Shibendu Mahata ₁ , Rajib Kar ₁ , Durbadal Mandal ₁

Affiliation

In this letter, the optimal rational approximation of fractional‐order bandpass Butterworth filter (FOBBF) is presented. The transfer function of the FOBBF is decomposed into a multiplication of first‐order and second‐order terms. As a result, the design stability conditions can be easily satisfied using only the variable boundary constraints. The proposed technique generalizes the symmetric fractional‐order roll‐off characteristic as only a special case of the asymmetric one. Several examples are presented to validate the modeling efficacy.

中文翻译：

使用分解技术的非对称分数阶带通巴特沃斯滤波器的最佳逼近

在这封信中，提出了分数阶带通巴特沃斯滤波器（FOBBF）的最优有理逼近。FOBBF的传递函数被分解为一阶和二阶项的乘积。结果，仅使用可变边界约束就可以容易地满足设计稳定性条件。所提出的技术将对称分数阶滚降特性概括为非对称对称滚降特性的一种特殊情况。提出了几个例子来验证建模效果。

更新日期：2020-07-08

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