Impact of topology control on capacity of wireless ad hoc networks

Capacity based topology management is essential for a wireless ad hoc network due to its limited capacity so that topology control becomes indispensable to deploy large wireless ad hoc networks. This paper discusses the impact of topology control on network capacity by introducing a new definition of the expected capacity that is first analyzed in the perspective of cross layer optimization. Based on the analytical result, optimal schemes for neighbor selection and transmission power control, which are two functions of topology control, are studied to maximize the capacity. An optimistic conclusion indicates that topology control with stable node degree renders the capacity not to decrease with the increase of the number of nodes present in the network. The analytical results in this paper can provide a guideline for the design of topology control schemes.