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A single-letter achievable rate region is proposed for the two-receiver discrete memoryless broadcast channel with feedback. It is shown through an example that the rate-region can be strictly larger than the no-feedback capacity region. The coding strategy involves block-Markov superposition coding using Marton's scheme as the starting point. If the message rates in the Marton scheme are too high...
Schalkwijk and Kailath (1966) developed a class of block codes for Gaussian channels with ideal feedback for which the probability of decoding error decreases as a second-order exponent in block length for rates below capacity. This well-known but surprising result is explained and simply derived here in terms of a result by Elias (1956) concerning the minimum mean-square distortion achievable in...
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