Per-Hop Condition for Optimal End-to-End Capacity of 1-Dimensional Wireless Ad Hoc Networks

The aim of this paper is to disclose the physical constraints that govern the capacity of the multi-hop ad hoc communications in homogeneous interference environment. Based on the Shannon capacity theorem, the end-to-end capacity is analytically derived. The final result is shown as the optimal per-hop condition, a criterion in choosing relay nodes that maximize the end-to-end capacity. Particularly, it has been here found that the optimal next-hop node can be solely determined by the local information of SINR, independent of the distance to reach final destinations. The results can provide valuable insights to WMN relay placement design and wireless ad hoc routing protocols for bandwidth-sensitive applications.