On single-antenna Rayleigh block-fading channels at finite blocklength
Journal article, 2020

This article concerns the maximum coding rate at which data can be transmitted over a noncoherent, single-antenna, Rayleigh block-fading channel using an error-correcting code of a given blocklength with a block-error probability not exceeding a given value. A high-SNR normal approximation of the maximum coding rate is presented that becomes accurate as the signal-to-noise ratio (SNR) and the number of coherence intervals $L$ over which we code tend to infinity. Numerical analyses suggest that the approximation is accurate at SNR values above 15dB and when the number of coherence intervals is 10 or more.

Signal to noise ratio

Wireless communication

Rayleigh fading

high SNR

Fading channels


wireless communications



normal approximation

Channel dispersion

finite blocklength



Alejandro Lancho Serrano

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Tobias Koch

Universidad Carlos III de Madrid

Hospital General Universitario Gregorio Maranon

Giuseppe Durisi

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

IEEE Transactions on Information Theory

0018-9448 (ISSN) 1557-9654 (eISSN)

Vol. 66 1 496-519 8861117

SWIFT : short-packet wireless information theory

Swedish Research Council (VR) (2016-03293), 2017-01-01 -- 2020-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories


Communication Studies

Computer Science



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4/5/2022 7