The memoryless additive inverse Gaussian noise channel model
describing communication based on the exchange of chemical molecules
in a drifting liquid medium is investigated for the situation of
simultaneously an average-delay and a peak-delay constraint.
Analytical upper and lower bounds on its capacity in bits per molecule
use are presented. These bounds are shown to be asymptotically tight,
i.e., for the delay constraints tending to infinity with their ratio
held constant (or for the drift velocity of the fluid tending to
infinity), the asymptotic capacity is derived precisely. Moreover,
characteristics of the capacity-achieving input distribution are
derived that allow the exact numerical computation of capacity. It is
argued that the optimal input is a mixed continuous and discrete


Additive inverse Gaussian noise, average- and peak-delay constraints,
Brownian motion, channel capacity, molecular communication.

-||-   _|_ _|_     /    __|__   Stefan M. Moser
[-]     --__|__   /__\    /__   Senior Researcher & Lecturer, ETH Zurich, Switzerland
_|_     -- --|-    _     /  /   Adj. Professor, National Chiao Tung University (NCTU), Taiwan
/ \     []  \|    |_|   / \/    Web: http://moser-isi.ethz.ch/

Last modified: Fri Oct 18 15:33:10 UTC+8 2013