Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For any binary-input channel with perfect state information at the decoder, if the mutual information beten the noisy state observation at the encoder and the true channel state is below a positive threshold determined solely by the state distribution, then the capacity is the same as that with no encoder side information. A complementary phenomenon is revealed for a similarly defined quantity.
['Rui Xu', 'Jun Chen', 'Tsachy Weissman', 'Jian-Kang Zhang']
I am writing a research paper on a idea When is noisy state information at the encoder as useless as no information or as good as noise-free state?
[{"from": "human", "value": "I am writing a research paper on a idea When is noisy state information at the encoder as useless as no information or as good as noise-free state?"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For any binary-input channel with perfect state information at the decoder, if the mutual information beten the noisy state observation at the encoder and the true channel state is below a positive threshold determined solely by the state distribution, then the capacity is the same as that with no encoder side information. A complementary phenomenon is revealed for a similarly defined quantity."}]