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Signal waveform estimation in the presence of uncertainties about the steering vector

Besson, Olivier and Monakov, Andrei and Chalus, Christophe Signal waveform estimation in the presence of uncertainties about the steering vector. (2004) IEEE Transactions on Signal Processing, vol. 5 (n° 9). pp. 2432-2440. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2004.831917

Abstract

We consider the problem of signal waveform estimation using an array of sensors where there exist uncertainties about the steering vector of interest. This problem occurs in many situations, including arrays undergoing deformations, uncalibrated arrays, scattering around the source, etc. In this paper, we assume that some statistical knowledge about the variations of the steering vector is available. Within this framework, two approaches are proposed, depending on whether the signal is assumed to be deterministic or random. In the former case, the maximum likelihood (ML) estimator is derived. It is shown that it amounts to a beamforming-like processing of the observations, and an iterative algorithm is presented to obtain the ML weight vector. For random signals, a Bayesian approach is advocated, and we successively derive an (approximate) minimum mean-square error estimator and maximum a posteriori estimators. Numerical examples are provided to illustrate the performances of the estimators.

Item Type:Article
Additional Information:Thanks to the Institute of Electrical and Electronics Engineers (IEEE). The original PDF can be found on the IEEE website: http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=1323252
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National des Etudes Spatiales - CNES
Université de Toulouse > Ecole Nationale de l'Aviation Civile - ENAC
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Other partners > Rockwell Collins (FRANCE)
Other partners > Saint Petersburg State University of Aerospace Instrumentation - SUAI (RUSSIA)
Other partners > Thales (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Other partners > Direction Générale de l’Aviation Civile - DGAC (FRANCE)
Laboratory name:
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Deposited By:Olivier Besson

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