Distributed deterministic broadcasting in uniform-power ad hoc wireless networks

Abstract

In this work we study broadcasting in ad hoc wireless networks with uniform transmission powers, deployed in two dimensional Euclidean space.We consider two models based on the Signal-to-Interference- and-Noise Ratio (SINR): with opportunistic links, and with randomly disturbed SINR. In the former model, we deliver and analyze two algorithms: one accomplishing broadcast in O(D logg) rounds under assumption that the granularity g of the network is known, and the other without such assumption working in O(D log2 n) rounds, where n is the number of nodes and D is the diameter of the network. It is also shown how to accelerate broadcast in the model to O(D + log2 n) rounds when stations can wake up spontaneously. Finally, we modify the main two algorithms to make them efficient in the latter model with randomly disturbed SINR, with only logarithmic growth of performance. © 2013 Springer-Verlag.