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arXiv · 2307.13322

The Method of Types for the AWGN Channel

Sergey Tridenski·Anelia Somekh-Baruch
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Abstract

For the discrete-time AWGN channel with a power constraint, we give an alternative derivation of Shannon's sphere-packing upper bound on the optimal block error exponent and prove for the first time an analogous lower bound on the optimal correct-decoding exponent. The derivations use the method of types with finite alphabets of sizes depending on the block length n and with the number of types sub-exponential in n.

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Sergey Tridenski, Anelia Somekh-Baruch. 2023-07-25. The Method of Types for the AWGN Channel. https://arxiv.org/abs/2307.13322

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