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

Jakob Hoydis 1 Romain Couillet 2 Pablo Piantanida 2 Mérouane Debbah 3
1 Bell Labs
2 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
3 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec
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
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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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