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A statistical approach to optimal target detection and localization in the presence of noise
 

Summary: A statistical approach to optimal target detection and
localization in the presence of noise
Habib Ammari
Josselin Garnier
Knut Sølna
June 5, 2010
Abstract
The problem addressed in this paper is both the detection and localization of
a point reflector embedded in a medium by sensor array imaging when the array
response matrix is measured in a noisy environment. We construct a detection
test based on reverse-migration of the array response matrix that is the most
powerful for a given false alarm rate and prove that it is more efficient than
the one introduced in [3], which is based on the singular value decomposition
of the response matrix. Moreover, we show that reflector localization should be
performed with reverse-time migration rather than any other form of weighted-
subspace migration and we give the standard deviation of the localization error.
1 Introduction
The problem addressed in this paper is to detect and localize a point reflector embed-
ded in a medium by probing the medium with time-harmonic scalar waves emitted
from and recorded on a sensor array. We use stochastic and statistical tools to study

  

Source: Ammari, Habib - Centre de Mathématique Appliquées, École Polytechnique

 

Collections: Mathematics