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arXiv · 1211.6697

Refinement of the Sphere-Packing Bound: Asymmetric Channels

Yucel Altug·Aaron B. Wagner
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Abstract

We provide a refinement of the sphere-packing bound for constant composition codes over asymmetric discrete memoryless channels that improves the pre-factor in front of the exponential term. The order of our pre-factor is $\Omega(N^{-1/2(1+\epsilon + \rho_{R}^{\ast})})$ for any $\epsilon >0$, where $\rho_{R}^{\ast}$ is the maximum absolute-value subdifferential of the sphere-packing exponent at rate $R$ and $N$ is the blocklength.

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Yucel Altug, Aaron B. Wagner. 2012-11-28. Refinement of the Sphere-Packing Bound: Asymmetric Channels. https://arxiv.org/abs/1211.6697

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