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      Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks

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          Abstract

          Molecular communication in nature can incorporate a large number of nano-things in nanonetworks as well as demonstrate how nano-things communicate. This paper presents molecular communication where transmit nanomachines deliver information molecules to a receive nanomachine over an anomalous diffusion channel. By considering a random molecule concentration in a space-time fractional diffusion channel, an analytical expression is derived for the first passage time (FPT) of the molecules. Then, the bit error rate of the lth nearest molecular communication with timing binary modulation is derived in terms of Fox's H-function. In the presence of interfering molecules, the mean and variance of the number of the arrived interfering molecules in a given time interval are presented. Using these statistics, a simple mitigation scheme for timing modulation is provided. The results in this paper provide the network performance on the error probability by averaging over a set of random distances between the communicating links as well as a set of random FPTs caused by the anomalous diffusion of molecules. This result will help in designing and developing molecular communication systems for various design purposes.

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          Most cited references 35

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                Author and article information

                Journal
                04 November 2019
                Article
                1911.01154

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                accepted to the IEEE Transactions on Communications
                cs.IT math.IT

                Numerical methods, Information systems & theory

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