Sample and Hold Errors in the Implementation of Chaotic Maps

TL;DR

This paper investigates how sample-and-hold errors affect the hardware implementation of chaotic maps like Bernoulli shift and tent maps, proposing an error model and analyzing its impact.

Contribution

It introduces a specific error model for S/H inaccuracies and characterizes their effects on chaotic map implementations.

Findings

S/H errors significantly distort chaotic map behavior

The proposed model helps predict errors in hardware implementations

Insights aid in designing more robust chaotic systems

Abstract

Though considerable effort has recently been devoted to hardware realization of chaotic maps, the analysis generally neglects the influence of implementation inaccuracies. Here we investigate the consequences of S/H errors on Bernoulli shift, tent map and tailed tent map systems: an error model is proposed and implementations are characterized under its assumptions.