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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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Journal ArticleDOI

Coding Theorems for Noisy Permutation Channels

TL;DR: In this article, the authors formally define and analyze the class of noisy permutation channels and prove a lower bound on the capacity of any DMC in terms of the rank of the stochastic matrix of the DMC.
Proceedings ArticleDOI

Block-Fading Channels with Delayed CSIT at Finite Blocklength

TL;DR: A communication protocol based on codes with expandable message space is put forth, and numerically, it is shown that higher rates are achievable compared to coding strategies that do not benefit from delayed CSIT.
Journal ArticleDOI

Finite Blocklength Communications in Smart Grids for Dynamic Spectrum Access and Locally Licensed Scenarios

TL;DR: This paper uses stochastic geometry to compute in closed form the success probability of a typical message transmission as a function of its size, the number of information bits, and the density of interferers, and shows how reliability and delay are related in either scenarios.
Journal ArticleDOI

Finite Block Length Analysis of RIS-Assisted UAV-Based Multiuser IoT Communication System With Non-Linear EH

TL;DR: This paper derives the expression for probability of RIS selection, the statistical distribution of instantaneously received information signal-to-noise ratio (SNR) at the IoT user and analyzes the performance of the considered system under finite BL codes in terms of the average outage probability, average block error rate (ABLER) and goodput averaged over entire flying duration.
Posted Content

Performance Comparison of Short-Length Error-Correcting Codes

TL;DR: In this article, the performance of short-length linear binary codes on the binary erasure channel and the binary-input Gaussian channel was compared using a universal decoder that can decode any linear binary block code.
References
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Journal ArticleDOI

A mathematical theory of communication

TL;DR: This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.

An Introduction To Probability Theory And Its Applications

TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.