Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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 near-Gaussian channels. The asymptotic behavior of the least favorable noise distribution and the resulting error probability are studied in a variety of scenarios, namely: asymptotically small divergence with and without por constraint; asymptotically large divergence with and without por constraint; and asymptotically large signal-to-noise ratio.
['Andrew L. McKellips', 'Sergio Verdu']
I am writing a research paper on a idea Maximin performance of binary-input channels with uncertain noise distributions
[{"from": "human", "value": "I am writing a research paper on a idea Maximin performance of binary-input channels with uncertain noise distributions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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 near-Gaussian channels. The asymptotic behavior of the least favorable noise distribution and the resulting error probability are studied in a variety of scenarios, namely: asymptotically small divergence with and without por constraint; asymptotically large divergence with and without por constraint; and asymptotically large signal-to-noise ratio."}]