On the Capacity of Ad Hoc Networks Under Random Packet Losses

We consider the problem of determining asymptotic bounds on the capacity of a random <i>ad</i> <i>hoc</i> network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the signal to interference and noise ratio (SINR) is above a certain threshold, then the transmitted packet is received error-free by the receiver thereby. Using this model, the per node capacity of the network was shown to be Theta(<sub>radic(n</sub> <sub>log</sub> <sub>n)</sub>/<sup>1</sup>). In reality, for any finite link SINR, there is a nonzero probability of erroneous reception of the packet. We show that in a large network, as the packet travels an asymptotically large number of hops from source to destination, the cumulative impact of packet losses over intermediate links results in a per-node throughput of only <i>O</i>(<sub>radic(n)</sub>/<sup>1</sup>) under the previously proposed routing and scheduling strategy. We then propose a new scheduling scheme to counter this effect. The proposed scheme provides tight guarantees on end-to-end packet loss probability, and improves the per-node throughput to Omega(<sub>radic(n)(log</sub> <sub>n)</sub>/<sup>1</sup>2<sub>(alpha-2)</sub>/<sup>alpha+2</sup>) where <i>alpha</i> <i>></i> <i>2</i> is the path loss exponent.

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