Lower bounds on the capacity of wireless ad hoc networks

We present here a fundamental understanding of the capacity of wireless ad hoc networks. Under the assumption that all interference is essentially regarded as noise, we try to answer the question: “What is the lower bound on network capacity under a certain power assignment and nodal distribution?” We give two quantitative lower bounds: one is measured in bps (bits per second), the other is measured in bmps (bit-meters per second). We also investigate the limit of the lower bounds as well as their tightness. The results of this paper may be worth considering by wireless network designers in hostile environments.