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Optimal design of compact microwave fractional order differentiator
Journal of Microwave Power and Electromagnetic Energy ( IF 1.5 ) Pub Date : 2020-07-02 , DOI: 10.1080/08327823.2020.1794723
Usha Gautam 1 , Tarun Kumar Rawat 1 , Apoorva Aggarwal 2 , Dharmendra Kumar Upadhyay 1
Affiliation  

Abstract This paper presents a stable, accurate and wideband microwave fractional order differentiator (MFOD) based on infinite impulse response filter. The fractional order differentiator (FOD) design problem is formulated in the z-domain. This formulation alliances with the transmission line elements in cascading. Real coded genetic algorithm (RCGA), particle swarm optimization (PSO) and cuckoo search algorithm (CSA) are applied to determine the optimum values of the characteristic impedances of the transmission line elements. The performance measure criterion of CSA algorithm as compared with other nature inspired algorithms-based differentiator are carried by the magnitude response, absolute magnitude error, phase response, pole-zero response, percentage improvement graph and convergence rate. The simulation and statistical analysis clearly affirm that the proposed MFOD using CSA outperforms RCGA and PSO in all state-of-the-art. The absolute magnitude error for the designed fifth order is as low as 2.9022. The designed fractional order differentiator is implemented in the form of microstrip on RT/Duroid substrate with dielectric constant 2.2 and thickness 0.762 mm. that is eligible for wideband microwave differentiator. The proposed design is compact in size and has low absolute magnitude error over the entire bandwidth. The measured result agrees well with the simulated result in the frequency range 1–12.5 GHz in MATLAB and advanced design software (ADS) environment.

中文翻译:

紧凑型微波分数阶微分器的优化设计

摘要 本文提出了一种基于无限脉冲响应滤波器的稳定、准确、宽带的微波分数阶微分器(MFOD)。分数阶微分器 (FOD) 设计问题是在 z 域中制定的。该公式与级联中的传输线元素相结合。应用实编码遗传算法(RCGA)、粒子群优化(PSO)和布谷鸟搜索算法(CSA)来确定传输线元件特征阻抗的最佳值。与其他基于自然启发算法的微分器相比,CSA 算法的性能衡量标准由幅度响应、绝对幅度误差、相位响应、零极点响应、百分比改进图和收敛速度承载。模拟和统计分析清楚地证实,所提出的使用 CSA 的 MFOD 在所有最新技术中都优于 RCGA 和 PSO。设计的五阶绝对幅度误差低至 2.9022。设计的分数阶微分器以微带形式在 RT/Duroid 基板上实现,介电常数为 2.2,厚度为 0.762 mm。即符合宽带微波微分器的条件。所提出的设计尺寸紧凑,并且在整个带宽上具有较低的绝对幅度误差。测量结果与 MATLAB 和高级设计软件 (ADS) 环境中 1-12.5 GHz 频率范围内的仿真结果非常吻合。设计的分数阶微分器以微带形式在 RT/Duroid 基板上实现,介电常数为 2.2,厚度为 0.762 mm。即符合宽带微波微分器的条件。所提出的设计尺寸紧凑,并且在整个带宽上具有较低的绝对幅度误差。测量结果与 MATLAB 和高级设计软件 (ADS) 环境中 1-12.5 GHz 频率范围内的仿真结果非常吻合。设计的分数阶微分器以微带形式在 RT/Duroid 基板上实现,介电常数为 2.2,厚度为 0.762 mm。即符合宽带微波微分器的条件。所提出的设计尺寸紧凑,并且在整个带宽上具有较低的绝对幅度误差。测量结果与 MATLAB 和高级设计软件 (ADS) 环境中 1-12.5 GHz 频率范围内的仿真结果非常吻合。
更新日期:2020-07-02
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