Parallel Gaussian Channels Corrupted by Independent States With a State-Cognitive Helper

Authors:
  • MDMichael Dikshtein
    Michael Dikshtein
  • RDRuchen Duan
    Ruchen Duan
  • YLYingbin Liang
    Yingbin Liang
  • SSShlomo Shamai
    Shlomo Shamai
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Abstract
We consider a state-dependent parallel Gaussian channel with independent states and a common cognitive helper, in which two transmitters wish to send independent information to their corresponding receivers over two parallel subchannels. Each channel is corrupted by independent additive Gaussian state. The states are not known to the transmitters nor to the receivers, but known to a helper in a noncausal manner. The helper's goal is to assist a reliable communication by mitigating the state. Outer and inner bounds are derived and segments of the capacity region is characterized for various channel parameters.