Saddlepoint Approximations for Noncoherent Single-Antenna Rayleigh Block-Fading Channels

Alejandro Lancho, Johan Ostman, Giuseppe Durisi, Tobias Koch, Gonzalo Vazquez-Vilar
2019 2019 IEEE International Symposium on Information Theory (ISIT)  
This paper presents saddlepoint approximations of state-of-the-art converse and achievability bounds for noncoherent, single-antenna, Rayleigh block-fading channels. These approximations can be calculated efficiently and are shown to be accurate for SNR values as small as 0 dB, blocklengths of 168 channel uses or more, and when the channel's coherence interval is not smaller than two. It is demonstrated that the derived approximations recover both the normal approximation and the reliability function of the channel.
doi:10.1109/isit.2019.8849659 dblp:conf/isit/LanchoODKV19 fatcat:gpnygca3kbgpvjzmvto4hmkqw4