The Method of Types for the AWGN Channel

For the discrete-time AWGN channel with a power constraint, we give an alternative derivation for the sphere-packing upper bound on the optimal block error exponent and an alternative derivation for the analogous lower bound on the optimal correct-decoding exponent. The derivations use the method of...

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Bibliographic Details
Main Authors: Sergey Tridenski, Anelia Somekh-Baruch
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/27/6/621
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Summary:For the discrete-time AWGN channel with a power constraint, we give an alternative derivation for the sphere-packing upper bound on the optimal block error exponent and an alternative derivation for the 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 <i>n</i> and with the number of types sub-exponential in <i>n</i>.
ISSN:1099-4300