We consider molecular communication, with information conveyed in the time of release of molecules.The main contribution of this paper is the development of a theoretical foundation for such a communication system. Specifically, we develop the additive inverse Gaussian (IG) noise channel model: a channel in which the information is corrupted by noise with an inverse Gaussian distribution. We show that such a channel model is appropriate for molecular communication in fluid media -when propagation between transmitter and receiver is governed by Brownian motion and when there is positive drift from transmitter to receiver. Taking advantage of the available literature on the IG distribution, upper and lower bounds on channel capacity are developed, and a maximum likelihood receiver is derived.Theory and simulation results are presented which show that such a channel does not have a single quality measure analogous to signal-to-noise ratio in the AWGN channel. It is also shown that the use of multiple molecules leads to reduced error rate in a manner akin to diversity order in wireless communications. Finally, we discuss some open problems in molecular communications that arise from the IG system model.
I. INTRODUCTIONModern communication systems are almost exclusively based on the propagation of electromagnetic (or acoustic) waves. Of growing recent interest, nanoscale networks, or nanonetworks, are systems of communicating devices, where both the devices themselves and the gaps between them are measured in nanometers [1]. Due to the limitations on the available size, energy, and K. V. Srinivas and Raviraj S. Adve are with The Edward S. Rogers Sr. DRAFT 2 processing power, it is difficult for them to communicate through conventional means such as electromagnetic or acoustic waves. Thus, communication between nanoscale devices will substantially differ from the well known wired/wireless communication scenarios.In this paper, we address communication in a nanonetwork operating in a aqueous environment; more precisely, we consider communication between two nanomachines connected through a fluid medium, where messages are encoded in patterns of molecules. In this scheme, the transmitter sends information to the receiver by releasing molecules into the fluid medium connecting them; the molecules propagate through the fluid medium; and the receiver, upon receiving the molecules, decodes the information by processing or reacting with the molecules. This method, known as molecular communication [2], is inspired by biological micro-organisms which exchange information through molecules. Information can be encoded on to the molecules in different ways, such as using timing, concentration, or the identities of the molecules themselves.Molecular communication has recently become a rapidly growing discipline within communications and information theory. The existing literature that can be divided into two broad categories: in the first category, components and designs to implement molecular communication systems are described; f...