Spatial reuse efficiency calculation for multihop wireless networks

A multihop network provides an increase in the spatial and frequency resource reuse as compared to a single-hop network. However, a precise quantification of the benefit obtained in terms of spatial reuse is still an open issue. In this paper, a mathematical analysis is carried out in order to derive the spatial reuse efficiency of a multihop wireless network. It is demonstrated through both approximate and exact analysis, that for an unbounded network, the reuse efficiency of the wireless system increases with the number of multiple hops, M  , and the spatial protection margin, ΔΔ, defined around the receiver. Significantly, it has been found that even in case of an infinitely large spatial protection margin, the obtained reuse efficiency is a finite value and is limited by the number of multiple hops in the communicating link.