Title :
Transmit selection in spatial multiplexing systems
Author :
Gore, Dhananjay A. ; Heath, Robert W., Jr. ; Paulraj, Arogyaswami J.
Author_Institution :
Inf. Syst. Lab., Stanford Univ., CA, USA
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.
Keywords :
MIMO systems; Monte Carlo methods; correlation methods; error statistics; matrix algebra; multiplexing; transmitting antennas; MIMO communication links; Monte Carlo simulations; Wishart matrix analysis; ZF receiver; average error probability minimization; channel statistics; ergodic capacity maximization; inverted transmit correlation matrix; signal-to-noise ratio; transmit antenna selection; weighted Chi-squared variable; zero forcing spatial multiplexing system; Costs; MIMO; Radio frequency; Rayleigh channels; Receiving antennas; Scattering; Signal to noise ratio; Statistics; Transmitters; Transmitting antennas;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2002.805517
