Throughput achievable with no relaying in a mobile interference network

We consider a network of n sender/receiver pairs placed randomly in a region of unit area. Network capacity or maximum throughput is defined as the highest rate that can be achieved by each sender/receiver pair over a long period of time. It is known that without using relays (i.e., via only direct communication), the maximum throughput is less than O(1), that is, strictly decays as n increases. The network capacity without relaying for static or mobile networks is not known. However, a known lower bound on this capacity if O[(log (n))/n]. Our goal is to find a higher achievable rate. We show, by demonstrating a simple coding and scheduling scheme that uses mobility, that O[(log (n))/(n¹-β)] is achievable, where β > 0 is a constant that depends on the power attenuation factor in the wireless medium. For example, when power decays as d^-4 with distance d, O[(log (n))/(n^.25)] is achievable. We assume channels to be AWGN interference channels throughput this work.