Rescaled Brownian Motion of Molecules and Devices in Three-Dimensional Multiuser Mobile Molecular Communication Systems

Abstract

This paper considers a three-dimensional anomalous-diffusive mobile molecular communication (MC) channel. Herein, the communicating devices, i.e., point transmitter (Tx) and passive receiver (Rx) can also move anomalously with the information-carrying molecule (ICM). In order to incorporate the anomalous diffusion phenomenon, the concept of rescaled-Brownian motion is explored. Two different scenarios, named point-to-point and multi-user MC systems, are considered for the analysis. First, considering the point-to-point scenario, the expressions for the channel impulse response (CIR) incorporating static and mobile Tx and Rx are derived. Further, the expressions for the peak time of CIR and the corresponding peak value are also derived. Furthermore, the point-to-point MC system is exploited in terms of bit-error-rate (BER), minimum BER, maximum mutual information, and throughput. A multiuser MC system is considered in the second scenario, and a molecular division multiple access (MDMA) method is used. The system is analyzed in terms of BER and throughput. Further, the system performance is optimized using two schemes known as min-max fairness for error probability and max-min fairness for throughput. Furthermore, we use bestto-best and best-to-worst assignment strategies to allocate different types of ICMs for each Rx. Subsequently, the optimal allocation for the number of ICMs is obtained when specific ICMs are assigned to all users/receivers for a twouser scenario. All the channel metrics are verified through particle-based and Monte-Carlo simulations.

Impact of Evanescence Process on Three-Dimensional Sub-Diffusion-Based Molecular Communication Channel

“…In [28], the effects of anomalous sub-diffusion on 3D concentration-encoded molecular communication (CEMC) are examined. A few works have already considered anomalous diffusion in the 3D model, such as [21,46,48,7]. For instance, in [21], a 3D MC system with a spherical RX and absorbing boundaries is considered, and the closed-form of expressions, such as the first hitting probability and its peak time, were derived.…”

“…Moreover, the statistical properties of the uncertainty of the random molecular propagation time were characterized through the introduction of a H-noise, which is a general class of molecular noise. In [7], the authors also exploited the impacts of anomalous diffusion of molecules and devices considering passive RX.…”