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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Aldridge, M. Johnson, O. Piechocki, R. |
| Copyright Year | 2010 |
| Description | Author affiliation: Centre for Communications Research, University of Bristol, UK (Piechocki, R.) || Department of Mathematics, University of Bristol, UK (Aldridge, M.; Johnson, O.) |
| Abstract | 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 CΣ/n to 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. |
| Starting Page | 410 |
| Ending Page | 414 |
| File Size | 134981 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424478903 |
| e-ISBN | 9781424478927 |
| e-ISBN | 9781424478910 |
| DOI | 10.1109/ISIT.2010.5513390 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-06-13 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Capacity planning Transmitters Attenuation Mathematics Convergence Polynomials Multiple access interference Frequency conversion Communication networks H infinity control interference network Networks capacity sum-capacity interference alignment |
| Content Type | Text |
| Resource Type | Article |
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