NOISE SOURCE LOCALIZATION IN AN ATTENUATING MEDIUM

NOISE SOURCE LOCALIZATION IN AN ATTENUATING MEDIUM

In this paper we consider the problem of reconstructing the spatial support of noise sources from boundary measurements using cross correlation techniques. We consider media with and without attenuation and provide efficient imaging functionals in both cases. We also discuss the case where the noise...

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Veröffentlicht in:SIAM journal on applied mathematics 2012-01, Vol.72 (1), p.317-336
Hauptverfasser: AMMARI, HABIB, BRETIN, ELIE, GARNIER, JOSSELIN, WAHAB, ABDUL
Format: Artikel
Sprache:eng
Schlagworte:
Covariance
Cross correlation
Density estimation
Fourier transforms
Greens function
Imaging
Localization
Mathematics
Noise control
Probability
Propagation
Robots
Signal noise
Spectral energy distribution
Statistics
Statistics Theory
Transcriptional regulatory elements
White noise
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Beschreibung
Zusammenfassung:In this paper we consider the problem of reconstructing the spatial support of noise sources from boundary measurements using cross correlation techniques. We consider media with and without attenuation and provide efficient imaging functionals in both cases. We also discuss the case where the noise sources are spatially correlated. We present numerical results to show the viability of the different proposed imaging techniques.
ISSN:0036-1399
1095-712X
DOI:10.1137/11083191X