Entropy 2013, 15(7), 2698-2715; doi:10.3390/e15072698
Article

Non-Linear Fusion of Observations Provided by Two Sensors

Laboratoire d'Informatique, Signal et Image de la Côte d'Opale (LISIC), Univ Lille Nord de France, Université du Littoral Côte d'Opale (ULCO), 50 rue Ferdinand Buisson, BP719, 62228 Calais Cedex, France
* Author to whom correspondence should be addressed.
Received: 22 April 2013; in revised form: 5 June 2013 / Accepted: 8 June 2013 / Published: 11 July 2013
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Abstract: When we try to make the best estimate of some quantity, the problem of combining results from different experiments is encountered. In multi-sensor data fusion, the problem is seen as combining observations provided by different sensors. Sensors provide observations and information on an unknown quantity, which can differ in precision. We propose a combined estimate that uses prior information. We consider the simpler aspects of the problem, so that two sensors provide an observation of the same quantity. The standard error of the observations is supposed to be known. The prior information is an interval that bounds the parameter of the estimate. We derive the proposed combined estimate methodology, and we show its efficiency in the minimum mean square sense. The proposed combined estimate is assessed using synthetic data, and an application is presented.
Keywords: estimation; fusion; weighted sum

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MDPI and ACS Style

Azmani, M.; Reboul, S.; Benjelloun, M. Non-Linear Fusion of Observations Provided by Two Sensors. Entropy 2013, 15, 2698-2715.

AMA Style

Azmani M, Reboul S, Benjelloun M. Non-Linear Fusion of Observations Provided by Two Sensors. Entropy. 2013; 15(7):2698-2715.

Chicago/Turabian Style

Azmani, Monir; Reboul, Serge; Benjelloun, Mohammed. 2013. "Non-Linear Fusion of Observations Provided by Two Sensors." Entropy 15, no. 7: 2698-2715.

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