On the Design of Second Order Dynamics Reaction-Diffusion CNNs

Abstract

In this paper, a second order reaction-diffusion equation has been identified which is able to reproduce through parameter setting a rich variety of spatio-temporal behaviors. It has been shown that these behaviors are robust against wide random variations in the equation parameters. We have designed a hardware that implements the log-domain version of the selected reaction-diffusion equation. The logarithmic compression of the state variables allows several decades of variation of these state variables without saturation. Furthermore, as all the equation parameters are implemented as currents, they can be adjusted several decades. The correct operation of the hardware has been verified through HSPICE simulations.