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Window functions and sigmoidal behaviour of memristive systems
File(s)
windowing_v2.pdf (734.86 KB)
Accepted version
Author(s)
Georgiou, PS
Yaliraki, SN
Drakakis, EM
Barahona, M
Type
Journal Article
Abstract
Summary: A common approach to model memristive systems is to include empirical window functions to describe edge effects and nonlinearities in the change of the memristance. We demonstrate that under quite general conditions, each window function can be associated with a sigmoidal curve relating the normalised time-dependent memristance to the time integral of the input. Conversely, this explicit relation allows us to derive window functions suitable for the mesoscopic modelling of memristive systems from a variety of well-known sigmoidals. Such sigmoidal curves are defined in terms of measured variables and can thus be extracted from input and output signals of a device and then transformed to its corresponding window. We also introduce a new generalised window function that allows the flexible modelling of asymmetric edge effects in a simple manner.
Date Issued
2016-02-03
Date Acceptance
2015-11-20
Citation
International Journal of Circuit Theory and Applications, 2016, 44 (9), pp.1685-1696
URI
DOI
ISSN
0098-9886
Publisher
John Wiley & Sons Ltd
Start Page
1685
End Page
1696
Journal / Book Title
International Journal of Circuit Theory and Applications
Volume
44
Issue
9
Copyright Statement
© 2016 John Wiley & Sons, Ltd. This is the accepted version of the following article which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/cta.2186/abstract
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/I017267/1
EP/J018201/1
BMPF_P49668
Subjects
Science & Technology
Technology
Engineering, Electrical & Electronic
Engineering
memristor
memristive system
window
sigmoidal
modelling
ELECTRICAL CIRCUITS
MODELS
DEVICES
DRIFT
cond-mat.mes-hall
Electrical & Electronic Engineering
0906 Electrical And Electronic Engineering
Publication Status
Published