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arXiv · 1504.04092

One-Shot Mutual Covering Lemma and Marton's Inner Bound with a Common Message

Jingbo Liu·Paul Cuff·Sergio Verdu
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Abstract

By developing one-shot mutual covering lemmas, we derive a one-shot achievability bound for broadcast with a common message which recovers Marton's inner bound (with three auxiliary random variables) in the i.i.d.~case. The encoder employed is deterministic. Relationship between the mutual covering lemma and a new type of channel resolvability problem is discussed.

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Jingbo Liu, Paul Cuff, Sergio Verdu. 2015-04-16. One-Shot Mutual Covering Lemma and Marton's Inner Bound with a Common Message. https://doi.org/10.1109/isit.2015.7282697

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