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arXiv · 1508.02374

A Counter-Example to the Mismatched Decoding Converse for Binary-Input Discrete Memoryless Channels

Jonathan Scarlett·Anelia Somekh-Baruch·Alfonso Martinez·Albert Guillén i Fàbregas
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Abstract

This paper studies the mismatched decoding problem for binary-input discrete memoryless channels. An example is provided for which an achievable rate based on superposition coding exceeds the LM rate (Hui, 1983; Csisz\'ar-K\"orner, 1981), thus providing a counter-example to a previously reported converse result (Balakirsky, 1995). Both numerical evaluations and theoretical results are used in establishing this claim.

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Jonathan Scarlett, Anelia Somekh-Baruch, Alfonso Martinez, Albert Guillén i Fàbregas. 2015-08-10. A Counter-Example to the Mismatched Decoding Converse for Binary-Input Discrete Memoryless Channels. https://arxiv.org/abs/1508.02374

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