On Distributed Sampling for Detection of Poisson Sources

Vanlalruata Ralte, Praveen Sharma, Amitalok J. Budkuley, Stefano Rini

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper, we study the detection of Poisson point sources when the central detector observes the remote source via a restricted number of samples from distributed sensors. More specifically, we consider the scenario in which a Poisson source is observed, in noise, at two remote observers or samplers. At each sampler, the noisy observations are sampled as part of a distributed strategy designed by the central detector by accounting for a communication constraint between the sensor and the detector. Such limited sampling/estimation/communication scenarios are fundamental to modern cyberphysical systems. In such systems, discrete events such as signals for detection, control, and feedback propagate through a common communication and sensing infrastructure. For this scenario, we study the problem of optimally selecting the distributed sampling strategy employed at all remote samplers under the constraint that samples can be acquired for a given fraction of time across both samplers. We focus on point processes in this work and derive an optimal sampling strategy for the case of a homogeneous Poisson source which may be corrupted by another independent, additive and homogeneous Poisson noise source with known intensity. We show that any optimal solution combines either or both of these two distributed sampling strategies: (i) a time-sharing strategy -samplers communicate samples corresponding to non-overlapping time intervals, and (ii) a noise rejection strategy -samplers communicate samples during an identical time interval of activity, thus allowing for identification and subsequent rejection of the spurious additive noise realizations at either sampler. We argue that these two strategies play a crucial role in more general scenarios, encompassing a more general class of sources and noise realizations.

Original languageEnglish
Title of host publication2022 IEEE International Symposium on Information Theory, ISIT 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2261-2266
Number of pages6
ISBN (Electronic)9781665421591
DOIs
StatePublished - 2022
Event2022 IEEE International Symposium on Information Theory, ISIT 2022 - Espoo, Finland
Duration: 26 Jun 20221 Jul 2022

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2022-June
ISSN (Print)2157-8095

Conference

Conference2022 IEEE International Symposium on Information Theory, ISIT 2022
Country/TerritoryFinland
CityEspoo
Period26/06/221/07/22

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