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General second-order covariance of Gaussian maximum likelihood estimates applied to passive source localization in fluctuating waveguides.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bertsatos, Ioannis Zanolin, Michele Ratilal, Purnima Chen, Tianrun Makris, Nicholas C. |
| Copyright Year | 2010 |
| Abstract | A 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 ocean waveguide containing random internal waves, and the consequences of the loss of coherence on their accuracy are quantified. |
| Starting Page | 1074 |
| Ending Page | 1074 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ece.neu.edu/fac-ece/purnima/Publications/Bertsatos2010_JASA_General_second_order.pdf |
| Alternate Webpage(s) | http://acoustics.mit.edu/faculty/makris/general_second-order...JASA_2010.pdf |
| Alternate Webpage(s) | http://dspace.mit.edu/openaccess-disseminate/1721.1/87701 |
| PubMed reference number | 21110561v1 |
| Alternate Webpage(s) | https://doi.org/10.1121/1.3488303 |
| DOI | 10.1121/1.3488303 |
| Journal | The Journal of the Acoustical Society of America |
| Volume Number | 128 |
| Issue Number | 5 |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Accidental Falls Assumed Estimated Maximum Likelihood Estimates Normal Statistical Distribution Population Parameter Sample Size Sample Variance Signal-To-Noise Ratio Small Waveguide Device Component orders - HL7PublishingDomain |
| Content Type | Text |
| Resource Type | Article |
