On Hybrid Emulation of Mem-Systems

The hybrid emulator is a mixed-mode electronic circuit which mimics the characteristics of a real device on its terminals. This paper describes a novel approach to the modeling and emulation of general memristive, memcapacitive, and meminductive systems based on digital signal processing. A microcontroller measures the independent port quantity (voltage or current), computes the response, and sets its value on a digitally controlled current or voltage source. The precision of emulation of some typical systems is studied. As the computational procedure may involve the use of numerical differentiation or the model itself may be ill-posed, the correct formulation of emulator algorithm plays a crucial role. The paper studies two techniques to improve the emulator performance: the transformation into the native state variables and the transformation into the integrator-only form.

[1]  Leon O. Chua,et al.  Memristor Emulator for Memristor Circuit Applications , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  Dalibor Biolek,et al.  SPICE modeling of memristive, memcapacitative and meminductive systems , 2009, 2009 European Conference on Circuit Theory and Design.

[3]  L. Chua.  Memristor-The missing circuit element , 1971 .

[4]  Dalibor Biolek,et al.  Mutators for transforming nonlinear resistor into memristor , 2011, 2011 20th European Conference on Circuit Theory and Design (ECCTD).

[5]  Dalibor Biolek,et al.  Fourth Fundamental Circuit Element: SPICE Modeling and Simulation , 2014 .

[6]  Massimiliano Di Ventra,et al.  Experimental demonstration of associative memory with memristive neural networks , 2009, Neural Networks.

[7]  P. A. Gorry.  General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method , 1990 .

[8]  Stephen J. Wolf,et al.  The elusive memristor: properties of basic electrical circuits , 2008, 0807.3994.

[9]  Leon O. Chua,et al.  Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors , 2009, Proceedings of the IEEE.

[10]  Gaurav Gandhi,et al.  Circuit Mimicking TiO2 Memristor: a Plug and Play Kit to Understand the Fourth Passive Element , 2010, Int. J. Bifurc. Chaos.

[11]  Randall J. LeVeque,et al.  Finite difference methods for ordinary and partial differential equations - steady-state and time-dependent problems , 2007 .

[12]  D. Biolek,et al.  Reliable SPICE Simulations of Memristors, Memcapacitors and Meminductors , 2013, 1307.2717.

[13]  Dalibor Biolek,et al.  Hybrid modelling and emulation of mem-systems , 2012 .

[14]  Massimiliano Di Ventra,et al.  Emulation of floating memcapacitors and meminductors using current conveyors , 2011 .