Optimal design of lattice wave digital fractional‐order Butterworth filter,International Journal of Circuit Theory and Applications

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Optimal design of lattice wave digital fractional‐order Butterworth filter
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-11-02 , DOI: 10.1002/cta.2902
Shibendu Mahata ₁ , Rajib Kar ₁ , Durbadal Mandal ₁

Affiliation

This letter presents the design of digital fractional‐order Butterworth filter (DFOBF) of order (n+α), where n is an integer, and α ∈ (0,1), from the perspective of optimal realization. The magnitude–frequency characteristic of the DFOBF is optimally modeled using the computationally efficient lattice wave digital filters (LWDFs). Design examples for the third‐ and fifth‐order LWDF‐DFOBFs with various values of n, α_, and cut‐off frequencies are presented.

中文翻译：

晶格数字分数阶巴特沃兹滤波器的优化设计

此信呈现数字分数阶巴特沃斯滤波器的顺序设计（DFOBF）（Ñ + α），其中Ñ是整数，并且α＆Element;（0,1），从实现最佳的角度。使用计算效率高的晶格波数字滤波器（LWDF），可以对DFOBF的幅频特性进行最佳建模。对于三阶和五阶LWDF-DFOBFs用的各种值的设计实例Ñ，α _，和截止频率被呈现。

更新日期：2020-11-02

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