A New Outer Bound and the Noisy-Interference Sum-Rate Capacity for Gaussian Interference Channels
arXiv:0712.1987 · doi:10.1109/TIT.2008.2009793
Abstract
A new outer bound on the capacity region of Gaussian interference channels is developed. The bound combines and improves existing genie-aided methods and is shown to give the sum-rate capacity for noisy interference as defined in this paper. Specifically, it is shown that if the channel coefficients and power constraints satisfy a simple condition then single-user detection at each receiver is sum-rate optimal, i.e., treating the interference as noise incurs no loss in performance. This is the first concrete (finite signal-to-noise ratio) capacity result for the Gaussian interference channel with weak to moderate interference. Furthermore, for certain mixed (weak and strong) interference scenarios, the new outer bounds give a corner point of the capacity region.
20 pages, 8 figures, submitted to IEEE Trans. Inform. Theory,
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