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

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.
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Submitted on : Tuesday, January 8, 2013 - 11:40:27 AM
Last modification on : Monday, August 30, 2021 - 9:40:02 AM
Long-term archiving on: : Tuesday, April 9, 2013 - 3:52:04 AM


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Jakob Hoydis, Romain Couillet, Pablo Piantanida, Mérouane Debbah. A Random Matrix Approach to the Finite Blocklength Regime of MIMO Fading Channels. 2012 IEEE International Symposium on Information Theory Proceedings, Jul 2012, Cambridge, United States. pp.2181 - 2185, ⟨10.1109/ISIT.2012.6283838⟩. ⟨hal-00771243⟩



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