The Second-Order Coding Rate of the MIMO Rayleigh Block-Fading Channel
Information Theory
2016-11-17 v3 math.IT
Abstract
The second-order coding rate of the multiple-input multiple-output (MIMO) quasi-static Rayleigh fading channel is studied. We tackle this problem via an information-spectrum approach and statistical bounds based on recent random matrix theory techniques. We derive a central limit theorem (CLT) to analyze the information density in the regime where the block-length n and the number of transmit and receive antennas K and N, respectively, grow simultaneously large. This result leads to the characterization of closed-form upper and lower bounds on the optimal average error probability when the coding rate is within O((nK)^-1/2) of the asymptotic capacity.
Keywords
Cite
@article{arxiv.1303.3400,
title = {The Second-Order Coding Rate of the MIMO Rayleigh Block-Fading Channel},
author = {Jakob Hoydis and Romain Couillet and Pablo Piantanida},
journal= {arXiv preprint arXiv:1303.3400},
year = {2016}
}
Comments
31 pages, 3 figures, accepted for publications in IEEE Trans. Inf. Theory