IEEE SENSORS JOURNAL, VOL. 16, NO. 22, NOVEMBER 15, 2016 8027
Chaos Time Domain Reflectometry for Online
Defect Detection in Noisy Wired Networks
Fabrice Auzanneau, Nicolas Ravot, and Luca Incarbone
Abstract—In many application domains, wire faults can have
dramatic consequences. Live wire diagnosis is often required to
ensure permanent monitoring of the health of embedded cables.
A novel reflectometry-based method for online wire diagnosis
is presented. Chaos time domain reflectometry (CTDR) takes
benefit of the properties of chaotic signals and shows very
good potential for the diagnosis of live wires (i.e., during their
operational usage) and complex topology networks. In particular,
CTDR shows high performances in very noisy environments:
the detection and the location of hard defects are possible even
in the case of negative signal to noise ratio and if several
reflectometers inject their signals in the cable. This enables using
CTDR for the distributed diagnosis of live complex topology
networks of lengths up to several tens of meters. CTDR’s
defect detection capacity is shown and experimentally verified:
increasing the length of the probe signal lowers the noise level.
A noise robustness analysis provides a means to choose the signals
parameters necessary to ensure specified detection performances.
Index Terms— Reflectometry, chaos, cable, diagnosis, network.
I. I NTRODUCTION
E
VEN in our more and more wireless world, most
systems still rely on cables for energy and information
transfer and use sometimes very long cables that can be
subject to aggressive environmental conditions [1]. The need
for diagnosis methods and systems able to quickly detect and
accurately locate faults in complex wired networks has arisen
around the year 2000, specifically for aeronautics [2] and
energy distribution (Smart Grids) applications.
Among many interesting methods, reflectometry-based
methods have proven to be the most efficient ones. Reflec-
tometry is used in many application domains, from humidity
measurement in soils [3] to conductivity measurement in
semiconductors [4]. Similarly to Radar, reflectometry injects
a probe signal at one end of the cable under test. This signal
propagates along the cable and each impedance discontinuity
met (connector, junction, load or defect [5]) reflects a part
of its energy back to the injection port. The analysis of the
received signal provides information on the presence, the loca-
tion and the type of these discontinuities [6]. This information
is very rich and valuable for maintenance operations and health
monitoring of electrical networks.
Manuscript received July 22, 2016; revised August 8, 2016; accepted
August 30, 2016. Date of publication September 7, 2016; date of current
version October 13, 2016. The associate editor coordinating the review of
this paper and approving it for publication was Prof. Danilo Demarchi.
F. Auzanneau and N. Ravot are with CEA, LIST, F-91191 Gif-sur-Yvette,
France (e-mail: fabrice.auzanneau@cea.fr; nicolas.ravot@cea.fr).
L. Incarbone is with Sonceboz Automotive SA, CH-2605 Sonceboz,
Switzerland.
Digital Object Identifier 10.1109/JSEN.2016.2606567
The diagnosis of complex topology networks may require
the use of several diagnosis systems in parallel [7], each one
providing a different view of the network, thus eliminating
location ambiguities. This has been made possible by the
adoption of spread spectrum techniques [8] enabling sev-
eral reflectometers to work concurrently without interfering.
For safety critical systems, it may be necessary to monitor
the health of the cables during their normal operation. Online
diagnosis is then used, requiring harmlessness: diagnosis
signals must not interfere with communication signals, and
useful signals must not trigger any false alarm. Specific
methods have been designed for this, such as Multicarrier
Reflectometry [9], Multi Carrier Time Domain Reflectome-
try (MCTDR) [10], [11] and Orthogonal Multi-Tone Time
Domain Reflectometry (OMTDR) [12], mostly in the objective
of diagnosis spectrum control.
All these reflectometry-based wire diagnosis methods have
shown to be very efficient for the detection and location of hard
defects [13], i.e. defects which prevent energy from going any
further (open and short circuits), and always in the case of
stationary defects (meaning that the duration of the defect is
longer than that of the reflectometry probe signal) [14].
This paper investigates a new reflectometry-based method,
called Chaos Time Domain Reflectometry (CTDR) [15], [16],
suited for the detection of hard and soft defects in wires,
taking advantage of chaos theory properties. Section II recalls
the bases of chaos and reflectometry and presents the main
specificities of CTDR. Section III applies this method to the
distributed diagnosis of defects in live networks and shows
its robustness to noise, and section IV provides experimental
results. Section V concludes the paper.
II. CHAOS-BASED REFLECTOMETRY
A. Chaos Theory
Chaos theory describes systems whose behavior is highly
dependent on initial conditions, and becomes very difficult
to predict in time. Meteorologist Edward Lorenz was one of
the first to see this phenomenon in the early 60s [17]. Often
called “butterfly effect” it is described as follows: “A flutter
of butterfly wings in Brazil is likely to later trigger a tornado
in Texas”. The very low disturbance created by the flight of
a butterfly could in principle vary the initial conditions of an
atmospheric system and cause climate change later in any part
of our planet.
Since then, chaos theory has grown and been applied
to many domains, from astrophysics to economy, computer
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