Trigonometric Window Functions for Memristive Device Modeling

Abstract

After the fourth passive circuit element(Memristor) came to existence in 2008 its tremendous potential to be used as a replacement for MOSFETS made its mathematical modeling very imperative. Various device models for the memristor had been proposed earlier such as the linear ion drift model, non linear ion drift model, tunnel barrier model, and a recently proposed TEAM model. In case of linear ion drift model a window function is needed to restrict the state variable within device bounds. In this paper we propose a modified window function which accounts for greater non linearity than the existing windows such as the Jogelkar, Biolek or Prodromakis windows.

An efficient and flexible window function for a memristor model and its analog circuit application

“…In recent past, for the advancement of linear drift memristor model, numerous window functions have been proposed by research community. For instance, Chen et al [21] proposed a controllable window function to provide better non-linearity, Maldenov et al [22] proposed a window function with activation threshold, Chowdhury et al [23] presented a Prodromakis modified trigonometric window function to improve the flexibility of the memristor model, but these window functions have not considered device current parameter, hence these are failed to resolve boundary lock problem. Further, Zha et al [15,17] and Shi et al [24] proposed some window function by combining the feature of This article is organized as follow.…”

Reliable Modeling of Ideal Generic Memristors via State-Space Transformation

“…This knowledge is reflected by the Biolek window [14], which depends not only on the state but also on the device current, or, more exactly, on its direction. Let us mention for the sake of completeness that also other window functions for modeling the nonlinear dopant drift can be found in the literature [15], [16], for example the Strukov [1], Prodromakis [17], TEAM or Kvatinsky [18] windows, the piecewise-linear window [19], the Tukey window [20], the trigonometric windows [21], the BCM [22] and generalized BCM model [23], etc. Some of the above techniques were developed in an effort to refine the models in order to make them conform to experimental data.…”