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Channel Coding Rate in the Finite Blocklength Regime

Polyanskiy, Yury, Poor, H. Vincent, Verdu, Sergio·2010·IEEE Transactions on Information Theory

Abstract

This paper investigates the maximal channel coding rate achievable at a given blocklength and error probability. For general classes of channels new achievability and converse bounds are given, which are tighter than existing bounds for wide ranges of parameters of interest, and lead to tight approximations of the maximal achievable rate for blocklengthsnas short as 100. It is also shown analytically that the maximal rate achievable with error probability¿isclosely approximated by C - ¿(V/n) Q-1(¿) where C is the capacity, V is a characteristic of the channel referred to as channel dispersion , and Q is the complementary Gaussian cumulative distribution function.

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Metadata

Authors
Polyanskiy, Y., Poor, H. V., & Verdu, S.
Venue
IEEE Transactions on Information Theory
Published
2010-05
Volume
56
Issue
5
Pages
2307-2359
ISSN
  • 0018-9448 (ISSN-L)
  • 1557-9654
OpenAlex
W2106864314
Cited by
3,885
References
1
FWCI
110.77
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Channel Coding Rate in the Finite Blocklength Regime. https://app.cochat.ai/papers/10.1109/tit.2010.2043769
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Polyanskiy, Y., Poor, H. V., & Verdu, S. (2010). Channel Coding Rate in the Finite Blocklength Regime. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2010.2043769

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