Version 1
: Received: 26 April 2024 / Approved: 26 April 2024 / Online: 26 April 2024 (20:09:51 CEST)
How to cite:
Gerasimov, O.I. Bayesian Identifying One or Two Close Sources by Gaussian Estimates of Planar Location under Double Emission. Preprints2024, 2024041776. https://doi.org/10.20944/preprints202404.1776.v1
Gerasimov, O.I. Bayesian Identifying One or Two Close Sources by Gaussian Estimates of Planar Location under Double Emission. Preprints 2024, 2024041776. https://doi.org/10.20944/preprints202404.1776.v1
Gerasimov, O.I. Bayesian Identifying One or Two Close Sources by Gaussian Estimates of Planar Location under Double Emission. Preprints2024, 2024041776. https://doi.org/10.20944/preprints202404.1776.v1
APA Style
Gerasimov, O.I. (2024). Bayesian Identifying One or Two Close Sources by Gaussian Estimates of Planar Location under Double Emission. Preprints. https://doi.org/10.20944/preprints202404.1776.v1
Chicago/Turabian Style
Gerasimov, O.I. 2024 "Bayesian Identifying One or Two Close Sources by Gaussian Estimates of Planar Location under Double Emission" Preprints. https://doi.org/10.20944/preprints202404.1776.v1
Abstract
When separation to the parameters of interest appears below resolution limit of the estimator, the ambiguity arises whether two parameter estimates relate to one source emitted twice or two close sources emitted once. In the paper, novel Bayes technique aimed to identify one/two sources below resolution limit by the pair of Gaussian estimates of a source(s) planar location as parameter is developed. Prior probabilities of the hypotheses on one/two sources are available from the analysis of physical characteristics of the emissions, assuming that they can be equally probable. The identifier recalculates a posteriori these probabilities subject to a distance between sources. It is applied to distinguish two location estimates obtained in the planar time difference of arrival mobile communication network. The work of the identifier is studied in the domain of closely spaced network users where covariance matrices of estimates are sufficiently approximated by the constant. The application gives an example of how the identifier revises the prior probabilities and can change thereby the initial preference of a hypothesis with a distance between users in some cases.
Keywords
separation to the sources location; probability of estimates resolving; Statistical Resolution Limit; Bayesian inference; identification probability of one/two sources
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
