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Detection and Estimation of Abrupt Changes contaminated by Multiplicative Gaussian Noise

Tourneret, Jean-Yves Detection and Estimation of Abrupt Changes contaminated by Multiplicative Gaussian Noise. (1998) Signal Processing, vol. 6 (n° 3). pp. 259-270. ISSN 0165-1684

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Official URL: http://dx.doi.org/10.1016/S0165-1684(98)00076-0

Abstract

The problem of abrupt change detection has received much attention in the literature. The Neyman Pearson detector can be derived and yields the well-known CUSUM algorithm, when the abrupt change is contaminated by an additive noise. However, a multiplicative noise has been observed in many signal processing applications. These applications include radar, sonar, communication and image processing. This paper addresses the problem of abrupt change detection in presence of multiplicative noise. The optimal Neyman Pearson detector is studied when the abrupt change and noise parameters are known. The parameters are unknown in most practical applications and have to be estimated. The maximum likelihood estimator is then derived for these parameters. The maximum likelihood estimator performance is determined, by comparing the estimate mean square errors with the Cramer Rao Bounds. The Neyman Pearson detector combined with the maximum likelihood estimator yields the generalized likelihood ratio detector.

Item Type:Article
Additional Information:This publication is available at http://www.sciencedirect.com/science/journal/01651684
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: 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
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Deposited By: Jean-yves TOURNERET
Deposited On:04 Jan 2010 15:14

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