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CORR
2010
Springer

Asymptotic Sum-Capacity of Random Gaussian Interference Networks Using Interference Alignment

9 years 7 months ago
Asymptotic Sum-Capacity of Random Gaussian Interference Networks Using Interference Alignment
We consider a dense n-user Gaussian interference network formed by paired transmitters and receivers placed independently at random in Euclidean space. Under natural conditions on the node position distributions and signal attenuation, we prove convergence in probability of the average per-user capacity C/n to 1 2 E log(1 + 2SNR). The achievability result follows directly from results based on an interference alignment scheme presented in recent work of Nazer et al. Our main contribution comes through the converse result, motivated by ideas of `bottleneck links' developed in recent work of Jafar. An information theoretic argument gives a capacity bound on such bottleneck links, and probabilistic counting arguments show there are sufficiently many such links to tightly bound the sum-capacity of the whole network.
Matthew Aldridge, Oliver Johnson, Robert J. Piecho
Added 25 Dec 2010
Updated 25 Dec 2010
Type Journal
Year 2010
Where CORR
Authors Matthew Aldridge, Oliver Johnson, Robert J. Piechocki
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