scispace - formally typeset
Journal ArticleDOI

Channel Coding Rate in the Finite Blocklength Regime

Reads0
Chats0
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.

read more

Content maybe subject to copyright    Report

Citations
More filters
Journal ArticleDOI

Generalized HARQ Protocols with Delayed Channel State Information and Average Latency Constraints

TL;DR: In this article, the authors proposed a family of expandable message space (EMS) protocols that generalize the HARQ protocol and allow for rate adaptation based on delayed CSI at the transmitter.
Proceedings ArticleDOI

Throughput of two-hop wireless channels with queueing constraints and finite blocklength codes

TL;DR: System throughput of two-hop wireless relay channels is studied in the finite blocklength regime, and several properties of the throughput function in terms of system parameters are identified and an efficient algorithm is proposed to maximize the throughput.
Posted Content

Properties of Noncommutative Renyi and Augustin Information

TL;DR: The uniform equicontinuity for all three quantum versions of R\'enyi information is proved, hence it yields the joint continuity of these quantities in the orders and priors, and the established concavity is established to prove an entropic duality between classical data compression with quantum side information and classical-quantum channel coding.
Journal ArticleDOI

A Case Where Interference Does Not Affect the Channel Dispersion

TL;DR: This paper characterize the second-order coding rates of the Gaussian interference channel in the strictly very strong interference regime and concludes that the dispersions are unaffected by interference in this channel model.
Proceedings ArticleDOI

Energy-Efficient Non-Orthogonal Transmission under Reliability and Finite Blocklength Constraints

TL;DR: By carefully examining the problem structure, this paper presents in closed-form the optimal power and code blocklength for energy-efficient transmissions and provides interesting insights into conditions for which non-orthogonal transmission is more energy efficient than the orthogonal Transmission such as TDMA.
References
More filters
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.