Maximin Performance of Binary-Input Channels with Uncertain Noise Distributions

  title={Maximin Performance of Binary-Input Channels with Uncertain Noise Distributions},
  author={Andrew L. McKellips and Sergio Verd{\'u}},
  journal={IEEE Trans. Information Theory},
We consider uncertainty classes of noise distributions defined by a bound on the divergence with respect to a nominal noise distribution. The noise that maximizes the minimum error probability for binary-input channels is found. The effect of the reduction in uncertainty brought about by knowledge of the signal-to-noise ratio is also studied. The particular class of Gaussian nominal distributions provides an analysis tool for nearGaussian channels. Asymptotic behavior of the least favorable… CONTINUE READING

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