On Single-Antenna Rayleigh Block-Fading Channels at Finite Blocklength Articles uri icon

publication date

  • January 2020

start page

  • 496

end page

  • 519


  • 1


  • 66

International Standard Serial Number (ISSN)

  • 0018-9448

Electronic International Standard Serial Number (EISSN)

  • 1557-9654


  • 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.


  • Electronics
  • Telecommunications


  • channel dispersion; finite blocklength; high snr; normal approximation; rayleigh fading; wireless