Application of the Maximum Entropy method to estimating parameter distributions for sonar signal processing

R. L. Culver, H. J. Camin, J. A. Ballard, C. W. Jemmott, L. H. Sibul

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Maximum Entropy (MaxEnt) method and Bayesian inference have been employed to incorporate environmental knowledge into the signal processor for a sonar detection application. The sonar receiver is a new Estimator-Correlator structure that requires only that the probability density function (pdf) of the observation conditioned on the signal belongs to the exponential class, a requirement met by application of the MaxEnt method. Random but statistically correct realizations of the environment are constructed from the pdfs, and an acoustic propagation code is used to propagate acoustic energy through each realization of the environment in a Monte Carlo simulation. From the ensemble of received signals, statistical moments of the signal parameters are estimated and the MaxEnt method is again used to construct signal parameter pdfs. Using Bayesian inference, the predicted parameter pdfs are incorporated into the detection algorithm as a priori information. To evaluate the fidelity of the approach, the statistics of acoustic measurements made during a 1996 experiment in the Strait of Gibraltar are compared with MaxEnt pdfs and simulation predictions.

Original languageEnglish (US)
Title of host publicationBayesian Inference and Maximum Entropy Methods in Science and Engineering - 27th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2007
Pages427-434
Number of pages8
DOIs
StatePublished - Dec 1 2007
Event27th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2007 - Saratoga Springs, NY, United States
Duration: Jul 8 2007Jul 13 2007

Publication series

NameAIP Conference Proceedings
Volume954
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other27th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2007
CountryUnited States
CitySaratoga Springs, NY
Period7/8/077/13/07

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Culver, R. L., Camin, H. J., Ballard, J. A., Jemmott, C. W., & Sibul, L. H. (2007). Application of the Maximum Entropy method to estimating parameter distributions for sonar signal processing. In Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 27th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2007 (pp. 427-434). (AIP Conference Proceedings; Vol. 954). https://doi.org/10.1063/1.2821294