학술논문

Tight Exponential Strong Converse for Source Coding Problem with Encoded Side Information
Document Type
Conference
Source
2023 IEEE International Symposium on Information Theory (ISIT) Information Theory (ISIT), 2023 IEEE International Symposium on. :1366-1371 Jun, 2023
Subject
Communication, Networking and Broadcast Technologies
Computing and Processing
Signal Processing and Analysis
Source coding
Markov processes
Random variables
Language
ISSN
2157-8117
Abstract
The source coding problem with encoded side information is considered. A lower bound on the strong converse exponent has been derived by Oohama, but its tightness has not been clarified. In this paper, we derive a tight strong converse exponent. The achievability part is derived by a careful analysis of the type argument. The converse part is proved by a judicious use of the change-of-measure argument, which was introduced by Gu-Effros and further developed by Tyagi-Watanabe. Interestingly, the soft Markov constraint, which was introduced by Oohama as a proof technique, is naturally incorporated into the characterization of the exponent.