Levenberg-Marquardt Method Based Cooperative Source Localization in SIMO Molecul
Molecular communication underpins nano-scale communications in nanotechnology. The combination of multinanomachines to form nano-networks is one of the main enabling methods. Due to the importance of source localization in establishing nano-networks, this paper proposes a cooperative source localization method for Molecular Communication via Diffusion (MCvD) systems using multiple spherical absorption receivers. Since there is no exact mathematical expression of the channel impulse response for multiple absorbing receivers, we adopt an empirical
expression and use the Levenberg-Marquardt method to estimate the distance of the transmitter to each receiver, based on which the location of the transmitter is obtained using an iterative scheme where the initial point is obtained using a multi-point localization method. Particle-based simulation is carried out to evaluate the performance of the proposed method. Simulation results show that the proposed method can accurately estimate the location of transmitter in short to medium communication ranges.
In this paper, we have presented a general model for MCvD systems with a single transmitter and multiple spherical absorption receivers. A novel distance estimation strategy is proposed and a cooperative source localization scheme is designed. Numerical results show the proposed scheme works well. Meanwhile, the performance of the
proposed CSL is affected by RN’s radius, the number of transmitted molecules, and the diffusion coefficient. From the simulation results, the increase in the number of emitted molecules and the diffusion coefficient can significantly improve the accuracy of localization; in near-field communication, it suggests that RNs have a small radius, as opposed to far-field communication. This method is also suitable for flow scenarios and the directional movement of the fluid in the environment also improves the accuracy of the RNs being properly positioned. In addition, the complexity of this method can be reduced by finding the maximum sample interval. Future work could be done to improve the accuracy of the fitting equations to take the topology of multiple absorbing receivers into consideration.