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E. Riegler, V. Morgenshtern, G. Durisi, S. Lin, B. Sturmfels, H. Bölcskei:
"Noncoherent SIMO Pre-Log via Resolution of Singularities";
Talk: IEEE International Symposium on Information Theory (ISIT), St. Petersburg, Russia; 07-31-2011 - 08-05-2011; in: "Proc. IEEE Int. Symp. Inf. Th.", (2011), 5 pages.

We establish a lower bound on the noncoherent capacity pre-log of a temporally correlated Rayleigh block-fading single-input multiple output (SIMO) channel. Our result holds for arbitrary rank Q of the channel correlation matrix, arbitrary block-length L > Q, and arbitrary number of receive antennas R, and includes the result in Morgenshtern et al. (2010) as a special case. It is well known that the capacity pre-log for this channel in the single-input single-output (SISO) case is given by 1-Q/L, where Q/L is the penalty incurred by channel uncertainty. Our result reveals that this penalty can be reduced to 1/L by adding only one receive antenna, provided that L \geq 2Q - 1 and the channel correlation matrix satisfies mild technical conditions. The main technical tool used to prove our result is Hironaka's celebrated theorem on resolution of singularities in algebraic geometry.

SIMO prelog, capacity, noncoherent

http://publik.tuwien.ac.at/files/PubDat_199686.pdf

Project Head Erwin Herbert Riegler:
Nicht kohärente Übertragungsverfahren für Zeit-Frequenz selektive Mobilfunkkanäle