Efficient evaluation of the error probability for pilot-assisted URLLC with Massive MIMO
Journal article, 2023

We propose a numerically efficient method for evaluating the random-coding union bound with parameter s on the error probability achievable in the finite-blocklength regime by a pilot-assisted transmission scheme employing Gaussian code-books and operating over a memoryless block-fading channel. Our method relies on the saddlepoint approximation, which, differently from previous results reported for similar scenarios, is performed with respect to the number of fading blocks (a.k.a. diversity branches) spanned by each codeword, instead of the number of channel uses per block. This different approach avoids a costly numerical averaging of the error probability over the realizations of the fading process and of its pilot-based estimate at the receiver and results in a significant reduction of the number of channel realizations required to estimate the error probability accurately. Our numerical experiments for both single-antenna communication links and massive multiple-input multiple-output (MIMO) networks show that, when two or more diversity branches are available, the error probability can be estimated accurately with the saddlepoint approximation with respect to the number of fading blocks using a numerical method that requires about two orders of magnitude fewer Monte-Carlo samples than with the saddlepoint approximation with respect to the number of channel uses per block.

Fading channels

Symbols

Receivers

saddlepoint approximation

ultra-reliable low-latency communication

Pilot-assisted transmission

Channel estimation

finite-blocklength information theory

massive MIMO system

Ultra reliable low latency communication

Error probability

Massive MIMO

Author

Ahmet Oguz Kislal

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Alejandro Lancho Serrano

Massachusetts Institute of Technology (MIT)

Giuseppe Durisi

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Erik Ström

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

IEEE Journal on Selected Areas in Communications

0733-8716 (ISSN) 15580008 (eISSN)

Vol. 41 7 1969-1981

Timely Communication: Theory and Practice for the Automated Society

Swedish Research Council (VR) (2018-04359), 2019-01-01 -- 2022-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Communication Systems

Signal Processing

DOI

10.1109/JSAC.2023.3280972

More information

Latest update

1/12/2024