Effect of Molecular Noise in Diffusion-Based Molecular Communication

In this paper, we consider the Langevin model for Brownian motion in a fluid medium. As a molecule travels through a fluid medium, its continuous collision with the molecules of the fluid can be considered as a continuous random force acting on the molecule. This force is the source of uncertainty in the position of the molecule and can be treated as a noise. The mathematical model for such noise is proposed in this work. The role of finite life expectancy of molecules and inter-symbol interference is also considered. Closed form expressions for the probability of error and the channel capacity are derived considering a binary communication scheme. Furthermore, our results illustrate the impact of these parameters on the performance of molecular communication techniques.

[1]  Massimiliano Pierobon,et al.  Diffusion-Based Noise Analysis for Molecular Communication in Nanonetworks , 2011, IEEE Transactions on Signal Processing.

[2]  R. Mazo.  On the theory of brownian motion , 1973 .

[3]  V. V. Belyi,et al.  On the kinetic theory of Brownian motion , 1979 .

[4]  A. Einstein.  On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heart , 1905 .

[5]  Sebastian Magierowski,et al.  Optimum receiver for molecule shift keying modulation in diffusion-based molecular communication channels , 2012, Nano Commun. Networks.

[6]  A. Einstein.  Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[7]  Tuna Tugcu,et al.  Energy model for communication via diffusion in nanonetworks , 2010, Nano Commun. Networks.

[8]  G. Parisi.  Brownian motion , 2005, Nature.

[9]  Ian F. Akyildiz,et al.  Modulation Techniques for Communication via Diffusion in Nanonetworks , 2011, 2011 IEEE International Conference on Communications (ICC).

[10]  Massimiliano Pierobon,et al.  Capacity of a Diffusion-Based Molecular Communication System With Channel Memory and Molecular Noise , 2013, IEEE Transactions on Information Theory.

[11]  Raviraj S. Adve,et al.  Molecular Communication Using Brownian Motion With Drift , 2010, IEEE Transactions on NanoBioscience.

[12]  P. Mazur.  On the theory of brownian motion , 1959 .

[13]  Tadashi Nakano,et al.  Channel Model and Capacity Analysis of Molecular Communication with Brownian Motion , 2012, IEEE Communications Letters.

[14]  Raviraj S. Adve,et al.  Molecular Communication in Fluid Media: The Additive Inverse Gaussian Noise Channel , 2010, IEEE Transactions on Information Theory.