TY - GEN

T1 - Scaling laws for molecular communication

AU - Eckford, Andrew W.

AU - Chae, Chan Byoung

PY - 2014

Y1 - 2014

N2 - In this paper, we investigate information-theoretic scaling laws, independent from communication strategies, for point-to-point molecular communication, where it sends/receives information-encoded molecules between nanomachines. Since the Shannon capacity for this is still an open problem, we first derive an asymptotic order in a single coordinate, i.e., i) scaling time with constant number of molecules m and ii) scaling molecules with constant time t. For a single coordinate case, we show that the asymptotic scaling is logarithmic in either coordinate, i.e., Θ(log t) and Θ(log m), respectively. We also study asymptotic behavior of scaling in both time and molecules and show that, if molecules and time are proportional to each other, then the asymptotic scaling is linear, i.e., Θ(t) = Θ(m).

AB - In this paper, we investigate information-theoretic scaling laws, independent from communication strategies, for point-to-point molecular communication, where it sends/receives information-encoded molecules between nanomachines. Since the Shannon capacity for this is still an open problem, we first derive an asymptotic order in a single coordinate, i.e., i) scaling time with constant number of molecules m and ii) scaling molecules with constant time t. For a single coordinate case, we show that the asymptotic scaling is logarithmic in either coordinate, i.e., Θ(log t) and Θ(log m), respectively. We also study asymptotic behavior of scaling in both time and molecules and show that, if molecules and time are proportional to each other, then the asymptotic scaling is linear, i.e., Θ(t) = Θ(m).

UR - http://www.scopus.com/inward/record.url?scp=84906543016&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84906543016&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2014.6875039

DO - 10.1109/ISIT.2014.6875039

M3 - Conference contribution

AN - SCOPUS:84906543016

SN - 9781479951864

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1281

EP - 1285

BT - 2014 IEEE International Symposium on Information Theory, ISIT 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 IEEE International Symposium on Information Theory, ISIT 2014

Y2 - 29 June 2014 through 4 July 2014

ER -