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OPTIMAL STBC PRECODING WITH CHANNEL COVARIANCE FEEDBACK FOR MINIMUM ERROR PROBABILITY
 

Summary: OPTIMAL STBC PRECODING 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
10 King's College Rd.
Toronto, ON, M5S 3G4, Canada
Abstract
This paper develops the optimal 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 performance criterion
without solving for the transformation. In this paper, we provide a waterfilling solution for multi-
input single-output (MISO) systems, and present a numerical solution for 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, in terms
of error probability. This conclusion is similar to one reached recently from the capacity-achieving
viewpoint.
Keywords: MIMO, Space-Time Block Coding, beamforming, Linear Precoding.
1 Introduction
In wireless communications, the adverse effects of channel fading can be mitigated by transmission

  

Source: Adve, Raviraj - Department of Electrical and Computer Engineering, University of Toronto

 

Collections: Engineering