On the Capacity of the Discrete Memoryless Broadcast Channel with Feedback

Details On the Capacity of the Discrete Memoryless Broadcast Channel with Feedback On the Capacity of the Discrete Memoryless Broadcast Channel with Feedback

2010-12-29

arxiv.org/abs/1012.6012v2

Computer Science

Information Theory

Submitted to the IEEE Transactions on Information Theory

Scientific paper

A coding scheme for the discrete memoryless broadcast channel with {noiseless, noisy, generalized} feedback is proposed, and the associated achievable region derived. The scheme is based on a block-Markov strategy combining the Marton scheme and a lossy version of the Gray-Wyner scheme with side-information, where in each block the transmitter sends fresh data and update information that allows the receivers to improve the channel outputs observed in the previous block. The region is evaluated for two specific broadcast channels : A generalization of Dueck's channel, and a noisy version of Blackwell's channel. With noiseless feedback, the region is shown to exceed the corresponding no-feedback capacity region in both cases, and for the former channel also yields the noiseless-feedback capacity region. A simple continuity argument verifies an improvement over the no-feedback capacity region for both channels, in the limit of low feedback noise.

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