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The error exponent of variable-length codes over Markov channels with feedback

Author(s)
Tatikonda, .; Yuksel, S.; Como, Giacomo
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Abstract
The error exponent of Markov channels with feedback is studied in the variable-length block-coding setting. Burnashev's classic result is extended to finite-state ergodic Markov channels. For these channels, a single-letter characterization of the reliability function is presented, under the assumption of full causal output feedback, and full causal observation of the channel state both at the transmitter and at the receiver side. Tools from stochastic control theory are used in order to treat channels with intersymbol interference (ISI). Specifically, the convex-analytic approach to Markov decision processes is adopted in order to handle problems with stopping time horizons induced by variable-length coding schemes.
Date issued
2009-04
URI
http://hdl.handle.net/1721.1/52394
Department
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Journal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers
Citation
Como, G., S. Yuksel, and S. Tatikonda. “The Error Exponent of Variable-Length Codes Over Markov Channels With Feedback.” Information Theory, IEEE Transactions on 55.5 (2009): 2139-2160. © 2009 IEEE
Version: Final published version
ISSN
0018-9448
Keywords
variable-length block codes, finite-state Markov channels, error exponents, Markov decision processes, Channel coding with feedback

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