Wireless ad hoc networks:: Strategies and scaling laws for the fixed SNR regime

This paper deals with throughput scaling laws for random ad hoc wireless networks in a rich scattering environment.' We develop schemes to optimize the ratio lambda (n) of achievable network sum capacity to the sum of the point-to-point capacities of source-destinations (S-D) pairs operating in isolation. Our focus in this paper is on fixed signal-to-noise ratio (SNR) networks, i.e., networks where the worst case SNR over the S-D pairs is fixed independent of n. For such fixed SNR networks, which include fixed area networks as a special case, we show that collaborative strategies yield a scaling law of lambda (n) = Omega (1/n(1/3)) in contrast to multihop strategies which yield a scaling law of A(n) = While networks where worst case SNR goes to zero do not preclude the possibility of collaboration, multihop strategies achieve optimal throughput. The plausible reason is that the gains due to collaboration cannot offset the effect of vanishing receive SNR. This suggests that for fixed SNR networks, a network designer should look for network protocols that exploit collaboration.