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Summary: PRECODING OF ORTHOGONAL STBC WITH CHANNEL COVARIANCE FEEDBACK FOR
MINIMUM ERROR PROBABILITY
Yi Zhao, Raviraj Adve and Teng Joon Lim
Dept. of Electrical and Computer Engineering, University of Toronto,
IO King's College Road, Toronto, ON, M5S 3G4, Canada.
E-maikzhaoyi, rsadve, limtj@comm.utoronto.ca
Abstract - This paper develops the linear transformation
(or precoding) of orthogonal space-time block codes (STBC)
for minimizing probability of decoding error, when the
channel covariance matrix is available at the transmitter. We
build on recent work that stated the optimization problem
without solving for the transformation. Specifically, we pro-
vide a closed-form solution for the multi-input single-output
(MISO) systems, and a numerical solution for the multi-
input multi-output (MIMO) systems. Our results confirm
that eigen-beamforming is optimal at low SNR or highly
correlated channels, and full diversity is optimal at high SNR
or weakly correlated channels.
Keywords - MIMO systems, STBC.
1. INTRODUCTION
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