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The problem of optimal coding in a communication system with a noiseless feedback link and with noisy side information at the decoder is treated. The message is taken as a Gaussian random variable and both the main and the side channels are assumed to be continuous white-Gaussian. A linear encoding-decoding scheme is developed which attains the well-known performance bounds for the special cases of i) noiseless side information and ii) no side information.
Date of Publication: Sep 1979