This paper proposes a bearing-based network localization algorithm with a
randomized gossip protocol. Each sensor node is assumed to be able to obtain
the bearing vectors and communicate its position estimates with several
neighboring agents. Each update involves two agents, and the update sequence
follows a stochastic process. Under the assumption that the network is
infinitesimally bearing rigid and contains at least two beacon nodes, we show
that the proposed algorithm could successfully estimate the actual positions of
the network in probability. The randomized update protocol provides a simple,
distributed, and reduces the communication cost of the network. The theoretical
result is then supported by a simulation of a 1089-node sensor network.Comment: preprint, 7 pages, 2 figure