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dc.contributor.authorBertsatos, Ioannis
dc.contributor.authorZanolin, Michele
dc.contributor.authorRatilal, Purnima
dc.contributor.authorChen, Tianrun
dc.contributor.authorMakris, Nicholas
dc.date.accessioned2014-06-09T15:56:50Z
dc.date.available2014-06-09T15:56:50Z
dc.date.issued2010-11
dc.date.submitted2010-07
dc.identifier.issn00014966
dc.identifier.urihttp://hdl.handle.net/1721.1/87701
dc.description.abstractA method is provided for determining necessary conditions on sample size or signal to noise ratio (SNR) to obtain accurate parameter estimates from remote sensing measurements in fluctuating environments. These conditions are derived by expanding the bias and covariance of maximum likelihood estimates (MLEs) in inverse orders of sample size or SNR, where the first-order covariance term is the Cramer-Rao lower bound (CRLB). Necessary sample sizes or SNRs are determined by requiring that (i) the first-order bias and the second-order covariance are much smaller than the true parameter value and the CRLB, respectively, and (ii) the CRLB falls within desired error thresholds. An analytical expression is provided for the second-order covariance of MLEs obtained from general complex Gaussian data vectors, which can be used in many practical problems since (i) data distributions can often be assumed to be Gaussian by virtue of the central limit theorem, and (ii) it allows for both the mean and variance of the measurement to be functions of the estimation parameters. Here, conditions are derived to obtain accurate source localization estimates in a fluctuating oceanwaveguide containing random internal waves, and the consequences of the loss of coherence on their accuracy are quantified.en_US
dc.language.isoen_US
dc.publisherAmerican Institute of Physicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1121/1.3488303en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceProf. Makris via Angie Locknaren_US
dc.titleGeneral second-order covariance of Gaussian maximum likelihood estimates applied to passive source localization in fluctuating waveguidesen_US
dc.typeArticleen_US
dc.identifier.citationBertsatos, Ioannis, Michele Zanolin, Purnima Ratilal, Tianrun Chen, and Nicholas C. Makris. “General Second-Order Covariance of Gaussian Maximum Likelihood Estimates Applied to Passive Source Localization in Fluctuating Waveguides.” The Journal of the Acoustical Society of America 128, no. 5 (2010): 2635. © 2010 Acoustical Society of America.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciencesen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Scienceen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.approverMakris, Nicholas C.en_US
dc.contributor.mitauthorMakris, Nicholasen_US
dc.contributor.mitauthorChen, Tianrunen_US
dc.contributor.mitauthorBertsatos, Ioannisen_US
dc.contributor.mitauthorRatilal, Purnimaen_US
dc.relation.journalJournal of the Acoustical Society of Americaen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsBertsatos, Ioannis; Zanolin, Michele; Ratilal, Purnima; Chen, Tianrun; Makris, Nicholas C.en_US
dc.identifier.orcidhttps://orcid.org/0000-0003-4369-296X
mit.licensePUBLISHER_POLICYen_US


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