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Parametric modeling of photometric signals

Ferrari, André and Tourneret, Jean-Yves and Alengrin, Gérard Parametric modeling of photometric signals. (2002) Signal Processing, vol. 82 (n° 4). pp. 649-661. ISSN 0165-1684

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Official URL: http://dx.doi.org/10.1016/S0165-1684(01)00212-2

Abstract

This paper studies a new model for photometric signals under high flux assumption. Photometric signals are modeled by Gaussian autoregressive processes having the same mean and variance denoted Constraint Gaussian Autoregressive Processes (CGARP's). The estimation of the CGARP parameters is discussed. The Cramér Rao lower bounds for these parameters are studied and compared to the estimator mean square errors. The CGARP is intended to model the signal received by a satellite designed for extrasolar planets detection. A transit of a planet in front of a star results in an abrupt change in the mean and variance of the CGARP. The Neyman–Pearson detector for this changepoint detection problem is derived when the abrupt change parameters are known. Closed form expressions for the Receiver Operating Characteristics (ROC) are provided. The Neyman–Pearson detector combined with the maximum likelihood estimator for CGARP parameters allows to study the generalized likelihood ratio detector. ROC curves are then determined using computer simulations.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Signal Processing website : http://www.sciencedirect.com/science/journal/01651684
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Université de Toulouse I-Sciences Sociales - UT1
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
French research institutions > Centre National de la Recherche Scientifique - CNRS
Other partners > Observatoire de la Côte d'Azur (FRANCE)
Other partners > Université Nice Sophia Antipolis (FRANCE)
Université de Toulouse > Université de Toulouse II-Le Mirail - UTM
Laboratory name:
Statistics:download
Deposited By:Jean-yves TOURNERET

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