Capacity of Frequency-based Channels: Encoding Information in Molecular Concentrations

Yuval Gerzon, Ilan Shomorony, Nir Weinberger

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

Abstract

We consider a molecular channel, in which messages are encoded to the frequency of objects (or concentration of molecules) in a pool, and whose output during reading time is a noisy version of the input frequencies, as obtained by sampling with replacement from the pool. We tightly characterize the capacity of this channel using upper and lower bounds, when the number of objects in the pool of objects is constrained. We apply this result to the DNA storage channel in the short-molecule regime, and show that even though the capacity of this channel is technically zero, it can still achieve a large information density.

Original languageEnglish (US)
Title of host publication2024 IEEE International Symposium on Information Theory, ISIT 2024 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages681-686
Number of pages6
ISBN (Electronic)9798350382846
DOIs
StatePublished - 2024
Externally publishedYes
Event2024 IEEE International Symposium on Information Theory, ISIT 2024 - Athens, Greece
Duration: Jul 7 2024Jul 12 2024

Publication series

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

Conference

Conference2024 IEEE International Symposium on Information Theory, ISIT 2024
Country/TerritoryGreece
CityAthens
Period7/7/247/12/24

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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