Practical signaling with vanishing pilot-energy for large noncoherent block-fading MIMO channels

Authors:
Keigo Takeuchi;Ralf R. Müller;Mikko Vehkaperä;Toshiyuki Tanaka
Affiliations:
Dept Information & Communication Engineering, University of Electro-Communications, Tokyo, Japan;Dept Elec. & Telecommun., Norwegian University of Science and Technology, Trondheim, Norway;Dept Elec. & Telecommun., Norwegian University of Science and Technology, Trondheim, Norway;Graduate School of Informatics, Kyoto University, Kyoto, Japan
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Year:
2009

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Abstract

We propose a randomly-biased quadrature phase shift keying (QPSK) signaling scheme for a noncoherent Rayleigh block-fading multiple-input multiple-output (MIMO) channel. In order to optimize a prior of bias, we evaluate a lower bound of the spectral efficiency of the noncoherent MIMO channel with randomly-biased QPSK signaling in the large-system limit, by using the replica method. Our main result is that randomly-biased QPSK signaling with vanishing bias is optimal in the large-system limit for any signal-to-noise ratio.