On Marton's Inner Bound for the General Broadcast Channel

Details On Marton's Inner Bound for the General Broadcast Channel On Marton's Inner Bound for the General Broadcast Channel

2010-06-26

arxiv.org/abs/1006.5166v2

Computer Science

Information Theory

14 pages, Submitted to IEEE Transactions in Information Theory

Scientific paper

We establish several new results on Marton's coding scheme and its corresponding inner bound on the capacity region of the general broadcast channel. We show that unlike the Gaussian case, Marton's coding scheme without superposition coding is not optimal in general even for a degraded broadcast channel with no common message. We then establish properties of Marton's inner bound that help restrict the search space for computing the sum-rate. Next, we show that the inner bound is optimal along certain directions. Finally, we propose a coding scheme that may lead to a larger inner bound.

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