Using Fisher information to quantify uncertainty in environmental parameters estimated from correlated ambient noise

TitleUsing Fisher information to quantify uncertainty in environmental parameters estimated from correlated ambient noise
Publication TypeJournal Article
Year of Publication2013
AuthorsWalker SC, Yardim C, Thode A, Arias-Castro E
JournalJournal of the Acoustical Society of America
Volume133
PaginationEL228-EL234
Date Published2013/04
Type of ArticleArticle
ISBN Number0001-4966
Accession NumberWOS:000318555300002
Keywordsgreens-function; model; spatial coherence; stratified ocean
Abstract

Efforts to characterize environmental parameters from ambient noise must contend with uncertainty introduced by stochastic fluctuations of the noise itself. This Letter calculates the Fisher information and CramerRao bound of an unbiased correlated ambient noise parameter estimate. As an illustration, lower bounds on the error covariance of medium speed and attenuation parameters are obtained for a two-dimensional isotropic ambient noise scenario. The results demonstrate that an optimal sensor separation exists for obtaining the minimum error and the predictions are validated using simulated parameter inversions. The influences of record length, bandwidth, signal-to-noise, and spatial resolution are discussed. (C) 2013 Acoustical Society of America

DOI10.1121/1.4792836
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