On the using of modal curves for radar waveforms classification

Authors:
Sophie Dabo-Niang;Frédéric Ferraty;Philippe Vieu
Affiliations:
Université Charles De Gaulle, Lille 3, Maison de la Recherche, domaine du pont de bois, BP 60149, 59653 Villeneuve d'Ascq cedex, France;Université Paul Sabatier, Laboratoire de Statistique et Probabilités, UMR C5583 - 118 route de Narbonne, 31062 Toulouse Cedex 04;Université Paul Sabatier, Laboratoire de Statistique et Probabilités, UMR C5583 - 118 route de Narbonne, 31062 Toulouse Cedex 04
Venue:
Computational Statistics & Data Analysis
Year:
2007

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Abstract

Recent advances in nonparametric functional data analysis allow to define the notion of mode for a sample of curves. A kernel-type estimator is proposed for estimating this modal curve. In addition, other centrality curves can be easily extended to the functional case, namely mean and median curves. A nonparametric unsupervised classification method which is also a cluster analysis is investigated. This is based on the comparison between the modal curve with another centrality curve for measuring some heterogeneity index. The main point is to show the good practical behaviour of this hierarchical classification on a sample of radar waveforms registered from the satellite Topex/Poseidon upon the Amazonian basin. In addition, a few theoretical advances are provided.