The Augustin Center and The Sphere Packing Bound For Memoryless Channels

Barış Nakiboğlu

doi:10.1109/isit.2017.8006759

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arXiv · 1701.06610

The Augustin Center and The Sphere Packing Bound For Memoryless Channels

Barış Nakiboğlu

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Abstract

For any channel with a convex constraint set and finite Augustin capacity, existence of a unique Augustin center and associated Erven-Harremoes bound are established. Augustin-Legendre capacity, center, and radius are introduced and proved to be equal to the corresponding Renyi-Gallager entities. Sphere packing bounds with polynomial prefactors are derived for codes on two families of channels: (possibly non-stationary) memoryless channels with multiple additive cost constraints and stationary memoryless channels with convex constraints on the empirical distribution of the input codewords.

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Barış Nakiboğlu. 2017-01-23. The Augustin Center and The Sphere Packing Bound For Memoryless Channels. https://doi.org/10.1109/isit.2017.8006759

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