Uncoordinated rate division multiple access with Prime Mod 60 algorithm

Pulse-based communication systems have emerged as a promising candidate in the deployment of short-range wireless networks compare to carrier-based system. The unique properties of pulse communication allow to design interesting medium access schemes where pulse streams transmitted by multiple nodes can be interleaved. Rate division multiple access (RDMA) is one of such schemes where each node is assigned different pulse period. The pulse period for each node in RDMA is required to be derived from relative prime numbers to minimize collision probability. In this paper, we propose a scheme to generate unique prime number using Prime Mod 60 algorithm from which pulse period for each node can be derived. Our scheme enables the implementation of RDMA in a truly uncoordinated fashion. We further investigate the statistical results of computed prime numbers to confirm its feasibility in RDMA.