Publications

PhD thesis, journal articles, conferences, patents and talks.

PhD thesis

Optimal Transport: an application to the RADAR Recognition Process for deinterleaving RADAR pulses and identifying emitter
PhD thesis · Université Paris-Saclay · CentraleSupélec, L2S · 2024
L2S - Laboratoire des Signaux et SystèmesCentraleSupélecUniversité Paris-Saclay

Articles in peer-reviewed journals

IEEE TAES
Deinterleaving RADAR Emitters With Optimal Transport Distances
M. Mottier, G. Chardon, F. Pascal
IEEE Transactions on Aerospace and Electronic Systems, vol. 60, no. 3, pp. 3639–3651, 2024
Abstract

Detection and identification of emitters provide vital information for defensive strategies in electronic intelligence. Based on a received signal containing pulses from an unknown number of emitters, this article introduces an unsupervised methodology for deinterleaving RADAR signals based on a combination of clustering algorithms and optimal transport distances. The first step involves separating the pulses with a clustering algorithm under the constraint that the pulses of two different emitters cannot belong to the same cluster. Then, as the emitters exhibit complex behavior and can be represented by several clusters, we propose a hierarchical clustering algorithm based on an optimal transport distance to merge these clusters. A variant is also developed, capable of handling more complex signals. Finally, the proposed methodology is evaluated on simulated data provided through a realistic simulator. Results show that the proposed methods are capable of deinterleaving complex RADAR signals.

Conferences with proceedings

CAID
Désentrelacement et classification des émetteurs RADARs basés sur l'utilisation des distances de Transport Optimal
M. Mottier, G. Chardon, F. Pascal
Conference on Artificial Intelligence for Defense, Rennes, France, 2022
Abstract

Cet article introduit une nouvelle méthode pour désentrelacer et classifier les émetteurs d'un signal RADAR utilisant des distances de transport optimal. Une stratégie en deux étapes est développée et appliquée pour désentrelacer un signal RADAR : tout d'abord, un algorithme de clustering est utilisé pour séparer les données. Ensuite, les résultats (classes) du clustering initial sont incorporées dans un clustering agglomératif hiérarchique combiné à des distances de transport optimal utiliser pour fusionner (regrouper) les classes. Enfin, le processus d'identification est appliqué sur ces résultats du désentrelacement; la méthodologie est basée sur l'élaboration d'une distance entre un groupe d'impulsions et une description des caractéristiques d'un émetteur RADAR à partir d'une base de données de référence. La méthodologie est construite et évaluée sur des données simulées étiquetées.

GRETSI
Désentrelacement et classification de signaux RADAR basés sur des distances de transport optimal
M. Mottier, G. Chardon, F. Pascal
GRETSI 2022 - XXIIXème Colloque Francophone de Traitement du Signal et des Images, Nancy, France, 2022
Abstract

L'identification d'émetteurs RADAR représente un enjeu primordial dans le domaine de la guerre électronique d'autant plus que ces émetteurs présentent des caractéristiques de plus en plus complexes. Ce papier présente une méthodologie de désentrelacement et d'identification d'émetteurs RADAR basée sur l'utilisation de distances de transport optimal pour désentrelacer les impulsions d'un nombre inconnu d'émetteurs, puis identifier ces émetteurs grâce à une base de données. La méthodologie est testée sur des données obtenues grâce à un simulateur de données.

EUSIPCO
RADAR Emitter Classification with Optimal Transport Distances
M. Mottier, G. Chardon, F. Pascal
2022 30th European Signal Processing Conference (EUSIPCO), pp. 1871–1875, 2022
Abstract

Identifying unknown RADAR emitters from re-ceived pulses is an important problem in electronic intelligence. It is a difficult problem, as agile RADAR emitters can have complex characteristics, and measurements are corrupted by various noises (non-Gaussian noise, missing pulses, etc.). In this paper, we introduce a new classification method based on optimal transport distances between collected RADAR pulses and a priori known emitter classes. Compared to previously proposed methods, this method does not require a training step, it can deal with a large number of classes, and it is easily interpretable. The method is tested on data obtained by a realistic RADAR scene simulator.

RadarConf
Deinterleaving and Clustering unknown RADAR pulses
M. Mottier, G. Chardon, F. Pascal
2021 IEEE Radar Conference (RadarConf21), pp. 1–6, 2021
Abstract

In this paper, a two-step methodology is developed to deinterlace RADAR signals. We mainly worked from a data simulator to obtain a large diversity of signals representing typical RADARs. First, a clustering algorithm is used to separate the pulses in the F-PW (Frequency-Pulse Width) plane, then a phase of cluster agglomeration is performed using the cluster output of the previous step as a features for an hierarchical agglomerative clustering combined with optimal transport distances. Results on labeled simulated data are given.

Patents

Patent
Method for identifying a radar transmitter and associated identification system
M. Mottier, G. Chardon, F. Pascal
Utility patent, 2024
Abstract

The invention relates to a computer-implemented method for identifying a radar transmitter from a set of corresponding received pulses, each pulse being associated with a respective time of arrival. The method includes determining an observed signature of the radar transmitter based on a distribution of the time gaps between consecutive times of arrival. For each transmitter class among a plurality of predetermined transmitter classes, each transmitter class being associated with at least one expected signature, the method includes calculating a proximity score between the observed signature and each expected signature associated with said transmitter class. Each expected signature is a function of an expected distribution of the time gaps between consecutive times of transmission for said transmitter class, and for a predetermined pulse loss rate. The method also includes assigning the radar transmitter to the transmitter class associated with the expected signature that provides the best proximity score.

Patent
Method for deinterleaving radar pulses
M. Mottier, G. Chardon, F. Pascal
Utility patent, 2024
Abstract

A method for deinterleaving radar pulses, implemented by a computer. The method includes implementing a first clustering algorithm for assigning each pulse to a corresponding first class, based on the associated frequency, duration and time of arrival. The method also includes, for each first class, the method includes estimating a respective average frequency and average pulse duration, and implementing a second clustering algorithm to group the first classes into second classes based on the corresponding average frequency and average duration. For each second class, the method includes determining a distribution of the times of arrival of the associated pulses. The method also includes implementing a third clustering algorithm for grouping together the second classes into third classes, based on optimal transport distances between the corresponding determined distributions of the times of arrival.

Scientific presentations

Talk
Deinterleaving and Clustering unknown RADAR pulses
M. Mottier, G. Chardon, F. Pascal
Talk at the 5th Paris-Saclay / IPP Junior Conference on Data Science and Engineering, 2021