The Shannon Upper Bound for the Error Exponent
Abstract
For the discrete-time additive white generalized Gaussian noise channel with a generalized input power constraint, with the respective shape and power parameters ≥ 1, we derive an upper bound on the optimal block error exponent. Explicit asymptotic upper bounds in the limit of a large block lengthnare given for three special cases: the Laplace noise channel and the Gaussian noise channel with the average absolute value constraint, and for the Laplace noise channel with the average squared value constraint. The derivation uses the method of types with finite alphabets of sizes depending on the block lengthnand with the number of types sub-exponential inn1.
Fields of Study & Subjects
Wireless Communication Security Techniques
Advanced Wireless Communication Techniques
Power Line Communications and Noise
Publication details
- Journal / source
- IEEE Transactions on Information Theory
- Volume
- 72
- Issue
- 6
- Pages
- 3539–3555
- Publication date
- 14 April 2026
- Language
- EN