The probabilistic behavior of the set and reset thresholds in Knowm's SDC memristors: Characterization and Simulation

Authors

  • Gerardo Abel Laguna-Sanchez Universidad Autonoma Metropolitana, Mexico City https://orcid.org/0000-0001-5145-1248
  • Miguel Lopez-Guerrero Universidad Autonoma Metropolitana, Unidad Iztapalapa, Mexico City https://orcid.org/0000-0001-5987-8780
  • Ricardo Barron-Fernandez Centro de Investigación en Computacion del Instituto Politecnico Nacional, Mexico City

Keywords:

Alpha-stable random variable characterization, SDC memristor modeling, SDC memristor simulating

Abstract

This paper presents a proposal for the characterization of the set and reset thresholds for Knowm’s SDC memristors. The purpose is to incorporate the variability of the hysteresis cycles within the Generalized Mean Metastable Switch (GMMS) memristor model and, in this way, be able to perform simulations that reproduce these phenomena in a meaningful and computationally efficient way. We depart from the assumption that their probabilistic behavior can be well represented by using α-stable random variables. The main advantage of using α-stable variables is that they can capture both skewness and high variability (i.e., heavy tails), which can be exhibited by the observed phenomenon. At the same time, they also include the Gaussian random variable as a particular case, thus increasing the modeling flexibility.

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Author Biographies

Gerardo Abel Laguna-Sanchez, Universidad Autonoma Metropolitana, Mexico City

Gerardo Laguna-Sanchez (Senior Member, IEEE) received the Ph.D. degree from National Polytechnic Institute (CIC-IPN, Mexico City) in 2010, the M.Sc. degree from National Autonomous University of Mexico (DEPFI-UNAM, Mexico City) in 1998; and the Electronic/Computer Engineering B.Sc. degree from Metropolitan Autonomous University (UAM, Mexico City) in 1993, Mexico City. Currently he is with Department of Information and Communication Systems at Metropolitan Autonomous University (UAM-Lerma), Lerma de Villada County. His research interests include digital communications, AI and advanced signal processing applications.

Miguel Lopez-Guerrero, Universidad Autonoma Metropolitana, Unidad Iztapalapa, Mexico City

Miguel Lopez-Guerrero received his Ph.D. in Electrical Engineering from the University of Ottawa in 2004. He received his M.Sc. in Electrical Engineering in 1998 and the B.Sc. in Mechanical-Electrical Engineering in 1995, both from the National Autonomous University of Mexico. He is an Associate Professor with the Metropolitan Autonomous University (Mexico City). His research interests span several aspects of telecommunication networks including network traffic modeling, medium access control and mobility-related studies.

Ricardo Barron-Fernandez, Centro de Investigación en Computacion del Instituto Politecnico Nacional, Mexico City

Ricardo Barron-Fernandez received the Ph.D. degree and the M.Sc. degree from Center for Computer Research (CIC) at National Polytechnic Institute (IPN, Mexico City), and the Mathematics B.Sc. from Autonomous University of Mexico (UNAM, Mexico City). Currently he is with AI Laboratory at CIC. His research interests are applications of mathematics in computer science.

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Published

2023-11-01

How to Cite

Laguna-Sanchez, G. A., Lopez-Guerrero, M., & Barron-Fernandez, R. (2023). The probabilistic behavior of the set and reset thresholds in Knowm’s SDC memristors: Characterization and Simulation. IEEE Latin America Transactions, 21(12), 1266–1274. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/8308

Issue

Vol. 21 No. 12 (2023): Ordinary Issue

Section

Computing