Molecular Motor Communication with An Absorbing Receiver

Abstract

Molecular motor communication offers several advantages over molecular communication (MC) established using randomly diffusing molecules. For instance, a motor signal renders excellent directivity and can also transfer information against the concentration gradient and fluid flow. Irrespective of the aforementioned benefits, the motor communication literature is in its nascent stage. In this paper, we derive the first hitting time (FHT) probability distribution function (PDF) of the motor signal to an absorbing node using a two-dimensional square lattice structure. The hitting probabilities and the mean pulse peak time of the motor signal are deduced from the FHT PDF. We also propose a temporal modulation scheme to establish communication between the source and destination nodes. Closed-form expression for the error rate of the proposed modulation scheme is derived. The derived analytical expressions are numerically evaluated and quantitatively verified using simulations. The numerical results illustrate the trade-off between the directed and the undirected random walks traversed by the motor signal, which is a function of the detachment probability parameter.