A new outer bound on the capacity region of Gaussian interference channels isdeveloped. The bound combines and improves existing genie-aided methods and isshown to give the sum-rate capacity for noisy interference as defined in thispaper. Specifically, it is shown that if the channel coefficients and powerconstraints satisfy a simple condition then single-user detection at eachreceiver is sum-rate optimal, i.e., treating the interference as noise incursno loss in performance. This is the first concrete (finite signal-to-noiseratio) capacity result for the Gaussian interference channel with weak tomoderate interference. Furthermore, for certain mixed (weak and strong)interference scenarios, the new outer bounds give a corner point of thecapacity region.
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