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Negative / Null Result ReportOpen accessComputer Science

A Single-Letter Upper Bound to the Mismatch Capacity

Ehsan Asadi Kangarshahi; Albert Guillén i Fàbregas · 2020 · arXiv

WASTE classifies this as Negative / Null Result Report · AI classification, approximate

The study found no significant effect — useful as a negative control or null benchmark for your own design.

Abstract (excerpt)

We derive a single-letter upper bound to the mismatched-decoding capacity for discrete memoryless channels. The bound is expressed as the mutual information of a transformation of the channel, such that a maximum-likelihood decoding error on the translated channel implies a mismatched-decoding error in the original channel. In particular, a strong converse is shown to hold for this upper-bound: if the rate exceeds the upper-bound, the probability of error tends to 1 exponentially when the block-length tends to infinity. We also show that the underlying optimization problem is a convex-concave

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Metadata source: arXiv