TY - GEN
T1 - The DNA Storage Channel
T2 - 2022 IEEE International Symposium on Information Theory, ISIT 2022
AU - Weinberger, Nir
AU - Merhav, Neri
N1 - Publisher Copyright: © 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85136243293&partnerID=8YFLogxK
U2 - https://doi.org/10.1109/ISIT50566.2022.9834482
DO - https://doi.org/10.1109/ISIT50566.2022.9834482
M3 - منشور من مؤتمر
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1803
EP - 1808
BT - 2022 IEEE International Symposium on Information Theory, ISIT 2022
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 26 June 2022 through 1 July 2022
ER -