Brief Announcement: Noisy Beeping Networks

Yagel Ashkenazi, Ran Gelles, Amir Leshem

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

5 Scopus citations

Abstract

We introduce noisy beeping networks, where nodes have limited communication capabilities, namely, they can only emit energy or sense the channel for energy. Furthermore, imperfections may cause devices to malfunction with some fixed probability when sensing the channel, which amounts to deducing a noisy received transmission. Such noisy networks have implications for ultra-lightweight sensor networks and biological systems. We show how to compute tasks in a noise-resilient manner over noisy beeping networks of arbitrary structure. In particular, we transform any R-round algorithm that assumes a noiseless beeping network (of size n) into a noise-resilient version while incurring a multiplicative overhead of only O(log n + log R) in its round complexity, with high probability. We show that our coding is optimal for some (short) tasks, such as node-coloring of a clique. We further show how to simulate a large family of algorithms designed for distributed networks in the CONGEST(B) model over a noisy beeping network. The simulation succeeds with high probability and incurs an asymptotic multiplicative overhead of O(B · Δ · min(n, Δ2)) in the round complexity, where Δ is the maximum degree of the network. The overhead is tight for certain graphs, e.g., a clique. Further, this simulation implies a constant overhead coding for constant-degree networks.

Original languageEnglish
Title of host publicationPODC 2020 - Proceedings of the 39th Symposium on Principles of Distributed Computing
PublisherAssociation for Computing Machinery
Pages458-460
Number of pages3
ISBN (Electronic)9781450375825
DOIs
StatePublished - 31 Jul 2020
Event39th Symposium on Principles of Distributed Computing, PODC 2020 - Virtual, Online, Italy
Duration: 3 Aug 20207 Aug 2020

Publication series

NameProceedings of the Annual ACM Symposium on Principles of Distributed Computing

Conference

Conference39th Symposium on Principles of Distributed Computing, PODC 2020
Country/TerritoryItaly
CityVirtual, Online
Period3/08/207/08/20

Bibliographical note

Publisher Copyright:
© 2020 ACM.

Keywords

  • collision-detection
  • error-correction in networks
  • noise-resilience

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