Sinusoidal analysis of memristor bridge circuit-rectifier for low frequencies

TL;DR

This paper analyzes a memristor bridge circuit's behavior at low frequencies, proposing a sinusoidal approach to understand its dynamics and potential applications in analog circuits like programmable synaptic devices.

Contribution

It introduces a frequency-dependent rectifier memristor bridge and applies Picard Iteration for analytical solutions of nonlinear memristor circuit equations.

Findings

The circuit can function as a programmable synaptic device.

Picard Iteration effectively solves nonlinear memristor equations.

Insights into memristor behavior in network configurations.

Abstract

Reasoned by its dynamical behavior, the memristor enables a lot of new applications in analog circuit design. Since some realizations are shown (e.g. 2007 by Hewlett Packard), the development of applications with memristors becomes more and more interesting. Whereas most of the research was done in the direction of memristor applications in neural networks and storage devices, less publications deal with practical applications of analog memristive circuits. But this topic is also promising further applications. Therefore, this article proposes a frequency dependent rectifier memristor bridge for different purposes (e.g. using as a programmable synaptic membrane voltage generator for Spike-Time-Dependent-Plasticity) and describes the circuit theory. In this context it is shown that the Picard Iteration is one possibility to solve the system of nonlinear state equations of memristor circuits analytically. An intuitive picture of how a memristor works in a network in general is given as well. In this context some research on the dynamical behavior of a HP memristor should be done.