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2012 | 1 | 48-57

Tytuł artykułu

Signals generated in memristive circuits

Autorzy

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the actual numerical representation can be implemented as a fast, O(N logN), algorithm. In addition, we discuss the possibility of modelling the hysteretic distortion via fast numerical transforms.

Wydawca

Rocznik

Tom

1

Strony

48-57

Opis fizyczny

Daty

otrzymano
2012-08-30
poprawiono
2012-10-30
zaakceptowano
2012-10-30
online
2012-11-13

Twórcy

autor
  • Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, SK S7N 5E6, Canada

Bibliografia

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  • L.O. Chua. Memristor - the missing circuit element. IEEE Trans. Circuit Theory, 18, 507–519 (1971).
  • L. O. Chua and S. M. Kang. Memristive Devices and Systems. Proceedings of the IEEE, 64, 209-223 (1976). [Crossref]
  • G.Z. Cohen, Y.V. Pershin, and M. Di Ventura. Second and higher harmonics generation with memristive circuits. Appl. Phys. Let. 100, 133109 (2012).
  • S. Datta. Nanoscale device modeling: the Green’s function method. Superlattices and Microstructures, 28, 253–278 (2000). [Crossref]
  • B. Dziurla, R. Newcomb. The Drazin inverse and semi-state equations. In: P. Dewilde (ed.). Proceedings of the International Symposium on Mathematical Theory of Networks and Systems. Delft, Netherlands, pp. 283–289 (1979).
  • H. Hedenmalm, P. Lindqvist, and K. Seip. A Hilbert Space of Dirichlet Series and Systems of Dialated Functions in L2(0; 1). Duke Math. J., 86, 1–37 (1997). [Crossref]
  • M. Itoh, L.O. Chua. Memristor oscillators. International Journal of Bifurcation and Chaos, 18, 3183–3206 (2008). [Crossref][WoS]
  • T.H. Kim, E.Y. Jang, N.J. Lee, D.J. Choi, K.-J. Lee, J.T. Jang, et. al. Nanoparticle Assemblies as Memristors. Nano Lett., 9, 2229–2233 (2009). [WoS]
  • F. Maucher, S. Skupin and W. Krolikowski. Collapse in the nonlocal nonlinear Schrödinger equation. Nonlinearity, 24, 1987–2001 (2011). [Crossref][WoS]
  • R.V.N. Melnik, B. Lassen, L.C. Lew Yan Voon, M. Willatzen, C. Galeriu. Acccounting for Nonlinearities in Mathematical Modelling of Quantum Dot Structures. Discrete and Contin. Dyn. Syst., suppl., 642–651 (2005).
  • M. Miranda. The Threat of Semiconductor Variability. IEEE Spectrum, July 2012
  • R.W. Newcomb. The semistate description of nonlinear time-variable circuits. IEEE Transactions on Circuits and Systems, 28, 62–71 (1981). [Crossref]
  • M. Paulsson, F. Zahid, S. Datta. Resistance of a molecule. In: W.A. Goddart III et al. (editors), Handbook of Nanoscience, Engineering, and Technology, CRC Press (2003).
  • T. Prodromakis and C. Toumazou. A Review on Memristive Devices and Applications. IEEE Conference Proceedings: Electronics, Circuits and Systems (ICECS), 2010 17th International Conference on, 12-15 Dec 2010, 934–937.
  • R. Riaza and C. Tischendorf. Semistate models of electrical circuits including memristors. Int. J. of Circ. Theor. Appl., 39, 607–627 (2011). [Crossref]
  • R. Riaza and C. Tischendorf. Structural characterization of classical and memristive circuits with purely imaginary eigenvalues. Int. J. of Circ. Theor. Appl., (2011). Published online in Wiley Online Library (wileyonlinelibrary.com) DOI: 10.1002/cta.798 [Crossref]
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  • G. Snider, R. Amerson, D. Carter, H. Abdalla, and M. Sh. Qureshi. From Synapses to Circuitry: Using Memristive Memory to Explore the Electronic Brain. Computer (Published by the IEEE Computer Society), 44 (2), 21–28 (2011). [Crossref]
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  • A. Sowa. A fast-transform basis with hysteretic features. IEEE Conference Proceedings: Electrical and Computer Engineering (CCECE), 2011 24th Canadian Conference on, 8-11 May 2011, 253-257.
  • A. Sowa. Factorizing matrices by Dirichlet multiplication. Lin. Alg. Appl., to appear
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Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_2478_nsmmt-2012-0004
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