Moderate Deviations in Channel Coding

We consider block codes whose rate converges to the channel capacity with increasing blocklength at a certain speed and examine the best possible decay of the probability of error. For discrete memoryless channels, we prove that a moderate deviation principle holds for all convergence rates between...

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Veröffentlicht in:	IEEE transactions on information theory 2014-08, Vol.60 (8), p.4417-4426
Hauptverfasser:	Altug, Yucel, Wagner, Aaron B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Block codes Blocking Capacity planning Channel capacity Channel coding Channels Coding Coding, codes Convergence Decay rate Deviation Error probability Exact sciences and technology Information theory Information, signal and communications theory Probability distribution Signal and communications theory Systems, networks and services of telecommunications Taylor series Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments)
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Beschreibung
Zusammenfassung:	We consider block codes whose rate converges to the channel capacity with increasing blocklength at a certain speed and examine the best possible decay of the probability of error. For discrete memoryless channels, we prove that a moderate deviation principle holds for all convergence rates between the large deviation and the central limit theorem regimes.
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2014.2323418