NDLI: Signal to Noise Ratio Analysis in Virtual Source Array Imaging

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Semin, Adrien Papanicolaou, George Garnier, Josselin Tsogka, Chrysoula
Copyright Year	2015
Abstract	We consider correlation-based imaging of a reflector located on one side of a passive array where the medium is homogeneous. On the other side of the array the illumination by remote impulsive sources goes through a strongly scattering medium. It has been shown in [J. Garnier and G. Papanicolaou, Inverse Problems, 28 (2012), 075002] that migrating the cross correlations of the passive array gives an image whose resolution is as good as if the array was active and the array response matrix was that of a homogeneous medium. In this paper we study the signal to noise ratio (SNR) of the image as a function of statistical properties of the strongly scattering medium, the signal bandwidth, and the source and passive receiver array characteristics. Using a Kronecker model for the strongly scattering medium we show that image resolution is as expected and that the SNR can be computed in an essentially explicit way. We show with direct numerical simulations using full wave propagation solvers in random media that the theoretical predictions based on the Kronecker model are accurate.
Starting Page	248
Ending Page	279
Page Count	32
File Format	PDF
DOI	10.1137/140968677
e-ISSN	19364954
Journal	SIAM Journal on Imaging Sciences (SJISBI)
Issue Number	1
Volume Number	8
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2015-01-27
Access Restriction	Subscribed
Subject Keyword	cross correlation wave propagation Kronecker model Seismology random media imaging Partial differential equations with randomness, stochastic partial differential equations
Content Type	Text
Resource Type	Article

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