SPICE Model of Current Polarity-Dependent Piecewise Linear Window Function for Memristors

Year 2020, , 766 - 777, 01.12.2020

Ertuğrul Karakulak , Reşat Mutlu

https://doi.org/10.35378/gujs.605118

Cited By: 3

Abstract

Memristor and memristive systems are nonlinear systems. It is important to model them accurately. There are different memristor models and most of the models make use of window functions. In literature, there are various window functions. Recently, a piecewise linear (PWL) window function is used to model a memristor and memristive systems. Such a memristor with a PWL window function lacks a SPICE model. Also, in literature, there is current polarity dependent window functions proposed for memristors to model polarity dependent drift speed within the thin-film memristors. In this study, an alternative current-polarity dependent PWL window function is suggested to model a memristor, a different PWL function one for each current polarity is used, its SPICE model is made in LTSpice and also its simulation results are given. Such a model can be used to model the polarity dependent drift speed within the thin-film memristors.

Keywords

Memristor, Piecewise Linear Functions, Window Functions, Spice Model

References

• [1] L. O. Chua, “Memristor-The missing circuit element”, IEEE Trans. Circuit Theory, vol. CT-18, pp. 507-519, Sept. 1971.
• [2] L. O. Chua, S. M. Kang, “Memristive devices and systems”, Proc. IEEE, vol. 64, 209-223. 1976.
• [3] D. B. Strukov, G. S. Snider, D. R. Stewart, R. S. Williams, “The missing memristor found”, Nature (London), vol. 453, pp. 80-83, 2008.
• [4] T. Prodromakis, C. Toumazou, "A review on memristive devices and applications", 17th IEEE International Conference on Electronics, Circuits and Systems, 2010.
• [5] Y.V. Pershin, J. Martinez-Rincon, M. Di Ventra. "Memory circuit elements: from systems to applications", Journal of Computational and Theoretical Nanoscience vol.8, no.3, pp. 441-448, 2011.
• [6] Y. V. Pershin, M. Di Ventra, “Memory effects in complex materials and nanoscale systems”, Adv. Phys., vol. 60, pp. 145–227, Apr. 2011.
• [7] L. Chua, “Resistance switching memories are memristors”, Appl. Phys. A, vol. 102, pp. 765–783, Mar. 2011.
• [8] R. Marani, G. Gennaro, A. G. Perri, "A Review on Memristor Applications", International Journal of Advances in Engineering & Technology, vol.8, no.3, p. 294, 2015.
• [9] S. Sangho, K. Kim, S-M. Kang. "Memristor applications for programmable analog ICs.", IEEE Transactions on Nanotechnology, vol.10, no.2, pp. 266-274, 2011.
• [10] Y. N. Joglekar, S. J. Wolf, “The elusive memrisor: properties of basic electrical circuits”, European Journal of Physics, vol. 30, no. 4, pp. 661675, 2009.
• [11] Z. Biolek, D. Biolek, V. Biolkova, “SPICE model of memristor with nonlinear dopant drift”, Radio Engineering, vol. 18, no. 2, pp. 210-214, 2009.
• [12] T. Prodromakis, B. P. Peh, C. Papavassiliou, C. Toumazou, “A Versatile Memristor Model With Nonlinear Dopant Kinetics”, IEEE Transactions on electron devices, vol.58, no.9, pp.3099-3105, 2011.
• [13] J. Zha, T. Huang, Y. Liu, “A Novel Window Function for Memristor With Application in Programming Analog Circuits”, IEEE TCAS-II, vol. 63, no. 5, pp. 423-427, 2016.
• [14] Y. Oğuz, F. Gül, H. Eroğlu, “A New Window Function for Memristor Modeling”, 8th International Advanced Technologies Symposium (IATS17), 2017.
• [15] M. Itoh, L. O. Chua, “Memristor Oscillators”, Int. J. Bifurcation and Chaos, Vol. 18, pp. 3183–3206, 2008.
• [16] D. Wang, et al. "A PWL model of memristor and its application example", 2009 International Conference on Communications, Circuits and Systems. IEEE, 2009.
• [17] S. C. Yener, R. Mutlu, H. H. Kuntman, “Analysis of filter characteristics based on PWL Memristor”, Istanbul University-Journal of Electrical & Electronics Engineering, vol.14, no.1, pp.1709-1719, 2014.
• [18] H. Güler, T. Kaya, “Parça Parça Lineer Memristor Tabanlı Chua Osilatorunun LabVIEW’de Gerçekleştirilmesi”, Fırat Üniversitesi Mühendislik Bilimleri Dergisi, vol.28, no.2, pp. 29-33, 2016.
• [19] A. Solak, S. Herdem, “A Piece Wise Linear Memristor Model with Switches,” International Journal of Modeling and Optimization, vol. 6, no. 2, pp. 124, 2016.
• [20] A. Solak, S. Herdem, “Simulink Model for Piece Wise Linear Approximation of Memristor”, International Journal of Applied Mathematics, Electronics and Computers, vol. 4, no. 1, pp. 386-390, 2016.
• [21] H-M. Carlos, D. Torres-Muñoz. "PWL Window Function for Nonlinear Memristive Systems", 2019 International Conference on Electronics, Communications and Computers (CONIELECOMP). IEEE, 2019.
• [22] L.O. Chua, S. M. Kang, “Section-wise piecewise-linear functions: Canonical representation, properties, and applications”, Proceedings of the IEEE, vol. 65, pp. 915-929, 1977.