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For information transmission a discrete time channel with independentadditive Gaussian noise is used. There is also feedback channel withindependent additive Gaussian noise, and the transmitter observes without delayall outputs of the forward channel via that feedback channel. Transmission ofnonexponential number of messages is considered and the achievable decodingerror exponent for such a combination of channels is investigated. It is shownthat for any finite noise in the feedback channel the achievable error exponentis better than similar error exponent of the no-feedback channel. Method oftransmission/decoding used in the paper strengthens the earlier method used byauthors for BSC. In particular, for small feedback noise, it allows to get thegain of 23.6% (instead of 14.3% earlier for BSC).

On Reliability Function of Gaussian Channel with Noisy Feedback: Zero Transmission Rate