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Programmable constant phase element realization with crossbar arrays
Journal of Advanced Research ( IF 10.7 ) Pub Date : 2020-08-26 , DOI: 10.1016/j.jare.2020.08.007
M E Fouda 1, 2 , A M AbdelAty 3 , A S Elwakil 4, 5, 6 , A G Radwan 1, 6 , A M Eltawil 2, 7
Affiliation  

Introduction

Constant Phase Elements (CPEs) have been widely used in many applications due to the extra degree of freedom, which offers new responses and behaviors.

Objectives

This paper proposes a new programmable CPE realization using resistive crossbar arrays. By programming the resistive devices, different CPEs can be obtained.

Methods

The proposed realization can be approximated as a weighted sum of low and high pass filters having the same cut-off frequency (i.e., Lapicque model). The closed-form approximation expression is derived, and then the Flower Pollination Algorithm (FPA) is used to find the optimal values of the network components.

Results

Different design examples are given over the frequency range of 106-109 rad/sec to prove the ability of this realization achieving any fractional order with less than 5% relative error in both phase and pseudo-capacitance. Monte-Carlo simulations are performed to evaluate the sensitivity of the proposed realization against device variability. In addition, multiple CPEs can be designed at the same time by utilizing the multiple ports of the crossbar array. The proposed realization is compared with two other state-of-art realizations showing comparable results as standalone realization and within fractional-order relaxation oscillator application.

Conclusion

The proposed crossbar realization has proven its ability to realize any CPE with acceptable error. In addition, this multiple-port design offers high flexibility and on-the-fly switching of the CPE.



中文翻译:

使用交叉开关阵列实现可编程恒定相位元件

介绍

恒定相位元件 (CPE) 由于具有额外的自由度,提供了新的响应和行为,因此已广泛用于许多应用中。

目标

本文提出了一种使用电阻交叉阵列的新的可编程 CPE 实现。通过对电阻器件进行编程,可以获得不同的 CPE。

方法

所提出的实现可以近似为具有相同截止频率的低通和高通滤波器的加权和(即,拉皮克模型)。推导了闭式逼近表达式,然后使用花授粉算法(FPA)寻找网络组件的最优值。

结果

在 10 6-10 9 rad/sec的频率范围内给出了不同的设计示例,以证明这种实现实现任何分数阶的能力,相位和伪电容的相对误差均小于 5%。进行蒙特卡罗模拟以评估所提出的实现对设备可变性的敏感性。此外,利用交叉开关阵列的多个端口,可以同时设计多个CPE。将提议的实现与其他两种最先进的实现进行比较,显示出与独立实现和分数阶张弛振荡器应用中的结果相当的结果。

结论

所提出的交叉开关实现已证明其能够以可接受的误差实现任何 CPE。此外,这种多端口设计提供了 CPE 的高度灵活性和动态切换。

更新日期:2020-08-26
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