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.


Channel dispersion

Signal to noise ratio


Fading channels

Rayleigh fading

normal approximation

high SNR


finite blocklength


wireless communications

Wireless communication


Alejandro Lancho

Hospital General Universitario Gregorio Maranon

Tobias Koch

Hospital General Universitario Gregorio Maranon

Universidad Carlos III de Madrid

Giuseppe Durisi

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

IEEE Transactions on Information Theory

0018-9448 (ISSN)

Vol. 66 1 496-519

SWIFT : short-packet wireless information theory

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

Subject Categories


Communication Studies

Computer Science



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