Title :
A random matrix approach to the finite blocklength regime of MIMO fading channels
Author :
Hoydis, Jakob ; Couillet, Romain ; Piantanida, Pablo ; Debbah, Mérouane
Author_Institution :
Bells Labs., Alcatel-Lucent, Stuttgart, Germany
Abstract :
This paper provides a novel central limit theorem (CLT) for the information density of the MIMO Rayleigh fading channel under white Gaussian inputs, when the data blocklength n and the number of transmit and receive antennas K and N, respectively, are large but of similar order of magnitude. This CLT is used to derive closed-form upper bounds on the error probability via an input-constrained version of Feinstein´s lemma by Polyanskiy et al. and the second-order approximation of the coding rate. Numerical evaluations suggest that the normal approximation is tight for reasonably small values of n, K, N.
Keywords :
MIMO communication; Rayleigh channels; approximation theory; encoding; error statistics; matrix algebra; receiving antennas; transmitting antennas; Feinstein lemma; MIMO Rayleigh fading channel; central limit theorem; closed-form upper bounds; coding rate; data blocklength; error probability; finite blocklength regime; information density; input-constrained version; random matrix; receive antennas; second-order approximation; transmit antennas; white Gaussian inputs; Approximation methods; Channel coding; Error probability; Fading; MIMO; Upper bound;
Conference_Titel :
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
978-1-4673-2580-6
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2012.6283838