HP Memristor mathematical model for periodic signals and DC

Ahmed G. Radwan; Khaled N. Salama; Mohammed A. Zidan

doi:10.1109/MWSCAS.2010.5548670

HP Memristor mathematical model for periodic signals and DC

Ahmed G. Radwan, Khaled N. Salama, Mohammed A. Zidan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

80 Scopus citations

Abstract

In this paper mathematical models of the HP Memristor for DC and periodic signal inputs are provided. The need for a rigid model for the Memristor using conventional current and voltage quantities is essential for the development of many promising Memristors' applications. Unlike the previous works, which focuses on the sinusoidal input waveform, we derived rules for any periodic signals in general in terms of voltage and current. Square and triangle waveforms are studied explicitly, extending the formulas for any general square wave. The limiting conditions for saturation are also provided in case of either DC or periodic signals. The derived equations are compared to the SPICE model of the Memristor showing a perfect match.

Original language	English (US)
Title of host publication	2010 53rd IEEE International Midwest Symposium on Circuits and Systems
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	861-864
Number of pages	4
ISBN (Print)	9781424477715
DOIs	https://doi.org/10.1109/MWSCAS.2010.5548670
State	Published - Aug 19 2010

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10.1109/MWSCAS.2010.5548670

https://repository.kaust.edu.sa/bitstream/10754/236094/5/HP_Memristor_Mathematical_Model_for_Periodic_Signals_and_DC%20%281%29.pdf

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title = "HP Memristor mathematical model for periodic signals and DC",

abstract = "In this paper mathematical models of the HP Memristor for DC and periodic signal inputs are provided. The need for a rigid model for the Memristor using conventional current and voltage quantities is essential for the development of many promising Memristors' applications. Unlike the previous works, which focuses on the sinusoidal input waveform, we derived rules for any periodic signals in general in terms of voltage and current. Square and triangle waveforms are studied explicitly, extending the formulas for any general square wave. The limiting conditions for saturation are also provided in case of either DC or periodic signals. The derived equations are compared to the SPICE model of the Memristor showing a perfect match.",

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AU - Radwan, Ahmed G.

AU - Salama, Khaled N.

AU - Zidan, Mohammed A.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2010/8/19

Y1 - 2010/8/19

N2 - In this paper mathematical models of the HP Memristor for DC and periodic signal inputs are provided. The need for a rigid model for the Memristor using conventional current and voltage quantities is essential for the development of many promising Memristors' applications. Unlike the previous works, which focuses on the sinusoidal input waveform, we derived rules for any periodic signals in general in terms of voltage and current. Square and triangle waveforms are studied explicitly, extending the formulas for any general square wave. The limiting conditions for saturation are also provided in case of either DC or periodic signals. The derived equations are compared to the SPICE model of the Memristor showing a perfect match.

AB - In this paper mathematical models of the HP Memristor for DC and periodic signal inputs are provided. The need for a rigid model for the Memristor using conventional current and voltage quantities is essential for the development of many promising Memristors' applications. Unlike the previous works, which focuses on the sinusoidal input waveform, we derived rules for any periodic signals in general in terms of voltage and current. Square and triangle waveforms are studied explicitly, extending the formulas for any general square wave. The limiting conditions for saturation are also provided in case of either DC or periodic signals. The derived equations are compared to the SPICE model of the Memristor showing a perfect match.

UR - http://hdl.handle.net/10754/236094

UR - http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=5548670

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DO - 10.1109/MWSCAS.2010.5548670

M3 - Conference contribution

SN - 9781424477715

SP - 861

EP - 864

BT - 2010 53rd IEEE International Midwest Symposium on Circuits and Systems

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

HP Memristor mathematical model for periodic signals and DC

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