A new outer bound and the noisy-interference sum-rate capacity for Gaussian interference channels

  • Shang X
  • Kramer G
  • Chen B
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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.

Author-supplied keywords

  • Capacity
  • Gaussian noise
  • Interference

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  • Xiaohu Shang

  • Gerhard Kramer

  • Biao Chen

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