期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 66, 期 11, 页码 6688-6722出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2020.3005155
关键词
Source coding; Decoding; Channel coding; Error probability; Random variables; Indexes; Lossless source coding; Slepian-Wolf; random access; finite blocklength; random coding; non-asymptotic information theory; Gaussian approximation; hypothesis testing; meta-converse
资金
- National Science Foundation [CCF-1817241, CCF-1956386]
- Oringer Fellowship Fund in Information Science and Technology
This work studies point-to-point, multiple access, and random access lossless source coding in the finite-blocklength regime. In each scenario, a random coding technique is developed and used to analyze third-order coding performance. Asymptotic results include a third-order characterization of the Slepian-Wolf rate region with an improved converse that relies on a connection to composite hypothesis testing. For dependent sources, the result implies that the independent encoders used by Slepian-Wolf codes can achieve the same third-order-optimal performance as a single joint encoder. The concept of random access source coding is introduced to generalize multiple access (Slepian-Wolf) source coding to the case where encoders decide independently whether or not to participate and the set of participating encoders is unknown a priori to both the encoders and the decoder. The proposed random access source coding strategy employs rateless coding with scheduled feedback. A random coding argument proves the existence of a single deterministic code of this structure that simultaneously achieves the third-order-optimal Slepian-Wolf performance for each possible active encoder set.
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