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arXiv · 1801.03964

Resolvability on Continuous Alphabets

Matthias Frey·Igor Bjelaković·Sławomir Stańczak
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Abstract

We characterize the resolvability region for a large class of point-to-point channels with continuous alphabets. In our direct result, we prove not only the existence of good resolvability codebooks, but adapt an approach based on the Chernoff-Hoeffding bound to the continuous case showing that the probability of drawing an unsuitable codebook is doubly exponentially small. For the converse part, we show that our previous elementary result carries over to the continuous case easily under some mild continuity assumption.

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Matthias Frey, Igor Bjelaković, Sławomir Stańczak. 2018-05-09. Resolvability on Continuous Alphabets. https://doi.org/10.1109/isit.2018.8437600

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