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Transmit selection in spatial multiplexing systems
Gore, D.A.   Heath, R.W., Jr.   Paulraj, A.J.  
Inf. Syst. Lab., Stanford Univ., CA, USA;

This paper appears in: Communications Letters, IEEE
Publication Date: Nov 2002
Volume: 6,  Issue: 11
On page(s): 491- 493
ISSN: 1089-7798
INSPEC Accession Number: 7464060
Digital Object Identifier: 10.1109/LCOMM.2002.805517
Current Version Published: 2002-12-10

Abstract
In this letter we solve the transmit antenna selection problem for a zero forcing spatial multiplexing system with knowledge of the channel statistics at the transmitter. We show through Wishart matrix analysis that the signal-to-noise ratio on the kth stream is a weighted Chi-squared variable with the weight equal to-the kth diagonal entry of the inverted transmit correlation matrix. We use this result to develop selection algorithms for two cases-maximizing ergodic capacity and minimizing the average probability of error. Monte Carlo simulations illustrate potential performance improvements.

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