Generalized Solution for the Demodulation of Reaction Shift Keying Signals in Molecular Communication Networks
Abstract: This paper considers a diffusion diffusion-based based molecular communication system, where the transmitter uses reaction shift keying (RSK) as the modulation scheme. We focus on the demodulation of RSK signal at the receiver. The receiver consists of a front-end end molecular circuit and a back back-end demodulator. The front--end molecular circuit is a set of chemical reactions consisting of multiple chemical chemica species. The optimal demodulator computes the posteriori probability of the transmitted symbols given the history of the observation. The derivation of the optimal demodulator requires the solution to a specific Bayesian filtering problem. The solution to o this Bayesian filtering problem had been derived for a few specific molecular circuits and specific choice(s) of observed chemical species. The derivation of such solution is also lengthy. The key contribution of this paper is to present a general solution on to this Bayesian filtering problem, which can be applied to any molecular circuit and any choice of observed species.