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Feedback coding schemes for an additive noise channel with a noisy feedback link

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1 Author(s)

A coding scheme for an additive Gaussian channel is developed using a noisy feedback link andD-dimensional elementary signals with no bandwidth constraint. This allows error-free transmission at a rateR < R_{c}whereR_{c}is slightly less than the channel capacityC. When there is no noise in the feedback channel, the coding scheme reduces to aD-dimensional generalization of the coding scheme of Schalkwijk and Kailath. In addition, the expression for the probability of error is determined whenT, the time of transmission rate, is finite. The scheme is also compared with the best codes that use only the forward channel.

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Information Theory, IEEE Transactions on  (Volume:14 ,  Issue: 3 )