Title :
On the capacity-achieving input for additive inverse Gaussian channels
Author :
Hui Li ; Dongning Guo
Author_Institution :
Dept. of Electron. Eng. & Inf. Sci., Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
In a molecular communication system, molecules convey the information by traversing from the transmitter to the receiver through the medium, which is often liquid. The time for a molecule to travel a fixed distance according to Brownian motion with a constant drift has the inverse Gaussian distribution. Hence the molecular communication channel is modeled by an additive inverse Gaussian noise channel, the input of which is the release times of the molecules. This paper studies the capacity-achieving input distribution for such a channel, where the release time is subject to both peak and average constraints. Several properties of the capacity-achieving input are established. A numerical method for computing the optimal input distribution is developed. The result complements some existing bounds on the capacity of molecular channel.
Keywords :
Brownian motion; Gaussian channels; Gaussian distribution; molecular communication (telecommunication); additive inverse Gaussian channels; capacity-achieving input; capacity-achieving input properties; inverse Gaussian distribution; molecular channel; molecular communication system; Additives; Channel capacity; Molecular communication; Mutual information; Receivers; Time factors;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620543