TY - GEN
T1 - On the transport of molecular information in sub-diffusion media with reflecting boundary
AU - Chouhan, Lokendra
AU - Alouini, Mohamed-Slim
N1 - KAUST Repository Item: Exported on 2022-10-07
PY - 2022/10/5
Y1 - 2022/10/5
N2 - This work exploits a one-dimensional (1-D) molecular communication (MC) between two nodes considering the sub-diffusion phenomenon for the propagation of information-carrying molecules (ICMs). We also assume that the transmitter (Tx) is surrounded on both sides by an absorbing receiver (Rx) and a reflecting boundary. In this context, we emanate the expressions for the probability density function (PDF) for the spatial-temporal distribution of molecules in terms of the Mittag-Leffler function (MLF). Further, we also find closed-form expressions for ICMs' survival probability (SP) and first arrival probability (FAP) for the considered setup. Moreover, we also derive a closed-form expression of the first arrival time density (FATD) function, an essential mathematical tool to analyze any MC system. We also investigate the effects of reflecting boundary presence on the MC setup based on bit-error-rate performance. Above all, particle-based and Monte-Carlo simulations are performed to validate our analytical expressions.
AB - This work exploits a one-dimensional (1-D) molecular communication (MC) between two nodes considering the sub-diffusion phenomenon for the propagation of information-carrying molecules (ICMs). We also assume that the transmitter (Tx) is surrounded on both sides by an absorbing receiver (Rx) and a reflecting boundary. In this context, we emanate the expressions for the probability density function (PDF) for the spatial-temporal distribution of molecules in terms of the Mittag-Leffler function (MLF). Further, we also find closed-form expressions for ICMs' survival probability (SP) and first arrival probability (FAP) for the considered setup. Moreover, we also derive a closed-form expression of the first arrival time density (FATD) function, an essential mathematical tool to analyze any MC system. We also investigate the effects of reflecting boundary presence on the MC setup based on bit-error-rate performance. Above all, particle-based and Monte-Carlo simulations are performed to validate our analytical expressions.
UR - http://hdl.handle.net/10754/682248
UR - https://dl.acm.org/doi/10.1145/3558583.3558858
U2 - 10.1145/3558583.3558858
DO - 10.1145/3558583.3558858
M3 - Conference contribution
BT - Proceedings of the 9th ACM International Conference on Nanoscale Computing and Communication
PB - ACM
ER -