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Journal ArticleDOI

Channel Coding Rate in the Finite Blocklength Regime

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TLDR
It is 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.
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 blocklengths n as 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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Information Theory and Reliable Communication

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Proceedings ArticleDOI

List decoding of polar codes

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References
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Journal ArticleDOI

A Study on Universal Codes With Finite Block Lengths

TL;DR: Simulation results show that universal performance can be a practical goal as the block lengths become large, and an alternative proof of Root and Varaiya's compound channel coding theorem for linear Gaussian channels is presented.
Book

Microwave Radio Links: From Theory to Design

Carlos Salema
TL;DR: In this paper, a detailed comparison of ITU (International Telecommunications Union) and North American frequency hierarchies, an important topic that has been inadequatly covered, is presented.
Proceedings ArticleDOI

Constrained capacity of the AWGN channel

TL;DR: The shortest possible code length of codes on the AWGN channel which attain some prescribed error rate for given code rate and signal-to-noise ratio is considered.
Proceedings ArticleDOI

Dispersion of the Gilbert-Elliott channel

Polyanskiy, +2 more