Analysis of Chaos Time Domain Reflectometry for the Soft Fault Detection in a Cable

Abstract

This paper proposes to analyze the performance in terms of soft fault detection of two chaotic signals using the chaos time domain reflectometry. These signals which are 1) a combination of the logistic map and Bernoulli map and 2) the Lorenz signal are depicted in order to remind their usage limitations. Although this paper demonstrates the relevance of the proposed chaotic signals for the soft fault detection, we propose also to compare the performances of each signal with a statistical approach. The study leads to conclude than the combination of the logistic map and Bernoulli map is more reliable than the Lorenz signal.Index Terms-chaos time domain reflectometry (CTDR), soft fault detection, chaotic signals comparison