Field-Programmable Analog Array Implementation of Neuromorphic Silicon Neurons with Fractional Dynamics

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2024-04-15 DOI:10.3390/fractalfract8040226
Andrés J. Serrano-Balbontín, I. Tejado, B. Vinagre
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Abstract

Silicon neurons are bioinspired circuits with the capability to reproduce the modulation through pulse-frequency observed in real neurons. They are of particular interest in closed-loop schemes to encode the control signal into pulses. This paper proposes the analog realization of neuromorphic silicon neurons with fractional dynamics. In particular, the fractional-order (FO) operator is introduced into classical neurons with the intention of reproducing the adaptation that has been observed experimentally in real neurons, which is the variation in the firing frequency even when considering a constant or periodic incoming stimulus. For validation purposes, simulations using a field-programmable analog array (FPAA) are performed to verify the behavior of the circuits.
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现场可编程模拟阵列实现具有分数动态特性的神经形态硅神经元
硅神经元是一种生物启发电路,能够再现真实神经元中的脉冲频率调制。在将控制信号编码成脉冲的闭环方案中,硅神经元具有特别重要的意义。本文提出了具有分数动态的神经形态硅神经元的模拟实现方法。特别是在经典神经元中引入了分数阶(FO)算子,目的是再现在真实神经元中实验观察到的适应性,即即使考虑到恒定或周期性的输入刺激,发射频率也会发生变化。为了进行验证,使用现场可编程模拟阵列(FPAA)进行了模拟,以验证电路的行为。
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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