Modeling and Simulation of Molecular Communication Based Nanonetwork Using Finite Shaped Spherical Receiver

In this paper, we have presented an analytical diffusion-based molecular communication system for nanonetwork with a finite spherical receiver in a three dimensional fluid channel. Use of finite shaped spherical absorbing receiver is one of the driving forces behind the study of this molecular communication system model. We have derived the mathematical expression to calculate the exact number of which got absorbed by the spherical receiver molecules expected at any time duration. For this, we have formulated a mathematical expression to calculate life expectancy of molecules propagating through Brownian motion. We also calculated the total number of time slots for which the molecules can survive. To enhance the practical feasibility, the molecules of previous slot are also being considered for a particular time slot. In this proposed system, the transmitted information is encoded by the number of molecules and modulated via M-ary modulation schemes. Since the diffusion coefficient of fluid medium and modulation schemes are crucial parameters for the channel capacity, so an exhaustive analysis for the channel capacity has been done using maximum likelihood detection at the finite spherical receiver and simulated results are presented accordingly. Importantly, our proposed system will act like a benchmark to setup a molecular communication based nanonetwork for finite shape spherical receiver.