The DNA Storage Channel: Capacity and Error Probability Bounds

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

Abstract

We consider the DNA storage channel, in which M Deoxyribonucleic acid (DNA) molecules comprising each codeword, are stored without order, then sampled N times with replacement, and then sequenced over a discrete memoryless channel. For a constant coverage depth, M/N, and molecule length scaling Θ(log M), lower (achievability) and upper (converse) bounds on the capacity of the channel, as well as a lower (achievability) bound on the reliability function of the channel are provided. Both the lower and upper bounds on the capacity generalize a bound which was previously known to hold only for the binary symmetric sequencing channel, and only under certain restrictions on the molecule length scaling and the crossover probability parameters. When specified to binary symmetric sequencing channel, these restrictions are completely removed for the lower bound and are significantly relaxed for the upper bound. The lower bound on the reliability function is achieved under a universal decoder, and reveals that the dominant error event is that of outage - the event in which the capacity of the channel induced by the DNA molecule sampling operation does not support the target rate.

Original languageEnglish
Title of host publication2022 IEEE International Symposium on Information Theory, ISIT 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1803-1808
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

Conference

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

All Science Journal Classification (ASJC) codes

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

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