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arXiv · 1105.5438

The capacity region of classes of product broadcast channels

Yanlin Geng·Amin Gohari·Chandra Nair·Yuanming Yu
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Abstract

We establish a new outer bound for the capacity region of product broadcast channels. This outer bound matches Marton's inner bound for a variety of classes of product broadcast channels whose capacity regions were previously unknown. These classes include product of reversely semi-deterministic and product of reversely more-capable channels. A significant consequence of this new outer bound is that it establishes, via an example, that the previously best known outer-bound is strictly suboptimal for the general broadcast channel. Our example is comprised of a product broadcast channel with two semi-deterministic components in reverse orientation.

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Yanlin Geng, Amin Gohari, Chandra Nair, Yuanming Yu. 2011-05-27. The capacity region of classes of product broadcast channels. https://doi.org/10.1109/tit.2013.2285925

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