Exact Moderate Deviation Asymptotics in Streaming Data Transmission

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In this paper, a streaming transmission setup is considered, where an encoder observes a new message in the beginning of each block and a decoder sequentially decodes each message after a delay of T blocks. In this streaming setup, the fundamental interplay between the coding rate, the error probability, and the blocklength in the moderate deviations regime is studied. For output symmetric channels, the moderate deviations constant is shown to improve over the block coding or non-streaming setup by exactly a factor of T for a certain range of moderate deviations scalings. For the converse proof, a more powerful decoder, to which some extra information is fedforward is assumed. The error probability is bounded first for an auxiliary channel and this result is translated back to the original channel by using a newly developed change-of-measure lemma, where the speed of decay of the remainder term in the exponent is carefully characterized. For the achievability proof, a known coding technique that involves a joint encoding and decoding of fresh and past messages is applied with some manipulations in the error analysis.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2017-05
Language
English
Article Type
Article
Citation

IEEE TRANSACTIONS ON INFORMATION THEORY, v.63, no.5, pp.2726 - 2736

ISSN
0018-9448
DOI
10.1109/TIT.2017.2678983
URI
http://hdl.handle.net/10203/272795
Appears in Collection
EE-Journal Papers(저널논문)
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