Localized topology control for unicast and broadcast in wireless ad hoc networks

Wen-Zhan Song, Xiang-Yang Li, O. Frieder, Weu Zhao Wang
2006 IEEE Transactions on Parallel and Distributed Systems  
We propose a novel localized topology control algorithm for each wireless node to locally select communication neighbors and adjust its transmission power accordingly, such that all nodes together self-form a topology that is energy efficient simultaneously for both unicast and broadcast communications. We theoretically prove that the proposed topology is planar, which meets the requirement of certain localized routing methods to guarantee packet delivery; it is power efficient for unicast-the
more » ... nergy needed to connect any pair of nodes is within a small constant factor of the minimum; it is also asymptotically optimum for broadcast: the energy consumption for broadcasting data on top of it is asymptotically the best among all structures constructed using only local information; it has a constant bounded logical degree, which will potentially save cost of updating routing table if used. We further prove that the expected average physical degree of all nodes is a small constant. To the best of our knowledge, this is the first localized topology control strategy for all nodes to maintain a structure with all these desirable properties. Previously, only a centralized algorithm was reported in [3] . Moreover, by assuming that the node ID and its position can be represented in O(log n) bits for a wireless network of n nodes, the total number of messages by our methods is in the range of [5n, 13n], where each message is O(log n) bits. Our theoretical results are corroborated in the simulations.
doi:10.1109/tpds.2006.53 fatcat:2klyyw3dmjhrhfp754amo527ou