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Identification of Green’s Functions Singularities by Cross Correlation of Ambient Noise Signals

Josselin Garnier (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

In this paper we consider the problem of estimating the singular support of the Green’s function of the wave equation by using ambient noise signals recorded by passive sensors. We assume that noise sources emit stationary random signals into the medium which are recorded by sensors. We explain how the cross correlation of the signals recorded by two sensors is related to the Green’s function between the sensors. By looking at the singular support of the cross correlation we can obtain an estimate...

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