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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 and D -dimensional elementary signals with no bandwidth constraint. This allows error-free transmission at a rate R < R_{c} where R_{c} is slightly less than the channel capacity C . When there is no noise in the feedback channel, the coding scheme reduces to a D -dimensional generalization of the coding scheme of Schalkwijk and Kailath. In addition, the expression for the probability of error is determined when T , 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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IEEE Transactions on Information Theory  (Volume:14 ,  Issue: 3 )