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Channel Coding Rate in the Finite Blocklength Regime
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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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Research works printed but not linked: 50
- elias, 1955, coding for two noisy channels, Proc 3rd London Symp Inf Theory, 61
- di, 2002, finite-length analysis of low-density parity-check codes on the binary erasure channel, IEEE Trans Inf Theory, 48, 1570, 10.1109/TIT.2002.1003839 · doi:10.1109/tit.2002.1003839
- 10.1109/ISIT.2008.4595291 · doi:10.1109/isit.2008.4595291
- 10.1109/ISIT.2009.5205312 · doi:10.1109/isit.2009.5205312
- strassen, 1962, asymptotische abschtzungen in shannon's informationstheorie, Trans 3rd Prague Conf Inf Theory, 689
- dobrushin, 1961, mathematical problems in the shannon theory of optimal coding of information, Proc 4th Berkeley Symp Math Statist Probabil, 1, 211
- 10.1109/18.737529 · doi:10.1109/18.737529
- 10.1109/TIT.1974.1055254 · doi:10.1109/tit.1974.1055254
- verd, 2007, EE528Information Theory Lecture Notes
- csiszr, 1967, information-type measures of difference of probability distributions and indirect observation, Studia Sci Math Hungar, 2, 229
- 10.1016/S0019-9958(67)90052-6 · doi:10.1016/s0019-9958(67)90052-6
- weiss, 1960, on the strong converse of the coding theorem for symmetric channels without memory, Quart Appl Math, 183
- 10.1109/18.335960 · DOI · Paper page
- 10.1109/ISIT.2007.4557074 · doi:10.1109/isit.2007.4557074
- ashikhmin, 2009, Personal communication
- ash, 1965, Information Theory
- thomasian, 1961, error bounds for continuous channels, Proc 4th London Symp Inf Theory, 46
- wolfowitz, 1962, Coding Theorems of Information Theory
- wolfowitz, 1957, the coding of messages subject to chance errors, Illinois J Math, 1, 591, 10.1215/ijm/1255380682 · DOI
- 10.1109/18.476322 · doi:10.1109/18.476322
- 10.1016/S0019-9958(68)90112-5 · doi:10.1016/s0019-9958(68)90112-5
- 10.1109/ISIT.2009.5205838 · doi:10.1109/isit.2009.5205838
- shannon, 0, Claude Elwood Shannon's Papers
- 10.1109/TIT.2007.903156 · doi:10.1109/tit.2007.903156
- 10.1109/TIT.2008.920216 · DOI
- feller, 1971, An Introduction to Probability Theory and Its Applications, ii
- 10.1109/18.868471 · doi:10.1109/18.868471
- 10.1109/TIT.1954.1057459 · DOI
- 10.1016/S0019-9958(57)90039-6 · doi:10.1016/s0019-9958(57)90039-6
- 10.1109/TIT.1965.1053730 · DOI · Paper page
- gallager, 1968, Information Theory and Reliable Communication
- 10.1109/18.335935 · doi:10.1109/18.335935
- 10.1109/TIT.2002.800480 · DOI
- 10.1109/18.556112 · doi:10.1109/18.556112
- 10.1002/j.1538-7305.1963.tb04013.x · DOI
- 10.1002/j.1538-7305.1959.tb03905.x · DOI · Paper page
- salema, 2002, Microwave Radio Links From Theory to Design
- dolinar, 1998, Code Performance as a Function of Block Size
- 10.1109/TIT.2004.838090 · doi:10.1109/tit.2004.838090
- 10.1109/ACSSC.2004.1399310 · doi:10.1109/acssc.2004.1399310
- 10.1109/MPC.1994.311827 · doi:10.1109/mpc.1994.311827
- 10.1109/ISIT.1998.708841 · doi:10.1109/isit.1998.708841
- 10.1007/BF00531753 · doi:10.1007/bf00531753
- 10.1137/1113063 · doi:10.1137/1113063
- 10.1109/CISS.2008.4558558 · doi:10.1109/ciss.2008.4558558
- 10.1109/TIT.2009.2030478 · doi:10.1109/tit.2009.2030478
- 10.1007/978-1-4757-2341-0 · DOI · Paper page
- 10.1007/BF00536558 · DOI
- jones, 1968, an extension of inequality involving modified bessel functions, J Math Phys, 47, 220, 10.1002/sapm1968471220 · doi:10.1002/sapm1968471220
- abramowitz, 1972, Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables
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Self-citation
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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