A Random Matrix Approach to the Finite Blocklength Regime of MIMO Fading Channels

Publication Type:

Conference Paper


IEEE International Symposium on Information Theory (ISIT), Cambridge, MA, US (2012)


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 .