The Second-Order Coding Rate of the MIMO Quasi-Static Rayleigh Fading Channel

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(1/√(nK)) of the asymptotic capacity.
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Contributor : Pablo Piantanida <>
Submitted on : Sunday, January 17, 2016 - 6:52:20 PM
Last modification on : Monday, December 17, 2018 - 2:28:06 PM

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Jakob Hoydis, Romain Couillet, Pablo Piantanida. The Second-Order Coding Rate of the MIMO Quasi-Static Rayleigh Fading Channel. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2015, 61 (12), pp.6591 - 6622. ⟨10.1109/TIT.2015.2490066⟩. ⟨hal-01257572⟩

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