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arXiv · 1303.3400

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

Jakob Hoydis·Romain Couillet·Pablo Piantanida
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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.

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Jakob Hoydis, Romain Couillet, Pablo Piantanida. 2013-03-14. The Second-Order Coding Rate of the MIMO Rayleigh Block-Fading Channel. https://doi.org/10.1109/isit.2013.6620482

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