The meta-converse bound is tight
Gonzalo Vazquez-Vilar, Adrià Tauste Campo, Albert Guillén i Fàbregas, Alfonso García Martínez
Abstract
Gonzalo Vazquez-Vilar, Adrià Tauste Campo, Albert Guillén i Fàbregas, Alfonso García Martínez
Abstract
We show that the meta-converse bound derived by Polyanskiy et al. provides the exact error probability for a fixed joint source-channel code and an appropriate choice of the bound parameters. While the expression is not computable in general, it identifies the weaknesses of known converse bounds to the minimum achievable error probability.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We show that the meta-converse bound derived by Polyanskiy et al. provides the exact error probability for a fixed joint source-channel code and an appropriate choice of the bound parameters. While the expression is not computable in general, it identifies the weaknesses of known converse bounds to the minimum achievable error probability.
Key concepts: Converse, Upper and lower bounds, Probability of error, Mathematics, Computer science, Code (set theory), Discrete mathematics, Algorithm