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When is Noisy State Information at the Encoder as Useless as No Information or as Good as Noise-Free State? (1611.00270v1)
Published 1 Nov 2016 in cs.IT and math.IT
Abstract: For any binary-input channel with perfect state information at the decoder, if the mutual information between 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 the generalized probing capacity. Extensions beyond binary-input channels are developed.