Improved Throughput Bounds for Interference-Aware Routing in Wireless Networks

Interference is a fundamental limiting factor in wireless networks. Due to interaction among transmissions of neighboring nodes and need for multi-hop routing in large networks, it is a non-trivial problem to estimate how much throughput a network can deliver. In an important piece of work, Gupta and Kumar [3] showed that in a random model, where n identical nodes are distributed uniformly in a unit square and each node is communicating with a random destination, the capacity of the network as measured in bit-meters/sec is \({O}(\sqrt{n})\). This result articulates the packing constraint of the n paths: on average each path is \(\Theta (\sqrt{n})\) hops long, and thus in the space of size O(n), only \({O}(\sqrt{n})\) paths can be accommodated.

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