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Bounds and approximations on the ergodic mutual information of spatially correlated Nakagami‐ m MIMO channels
Author(s) -
Guimarães Antonio Alisson P.,
Kountouris Marios,
Cavalcante Charles Casimiro
Publication year - 2016
Publication title -
transactions on emerging telecommunications technologies
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.366
H-Index - 47
ISSN - 2161-3915
DOI - 10.1002/ett.3032
Subject(s) - ergodic theory , mutual information , fading , nakagami distribution , unitary state , channel (broadcasting) , mathematics , mimo , transmitter , channel state information , statistical physics , random variable , information theory , computer science , topology (electrical circuits) , telecommunications , statistics , physics , wireless , mathematical analysis , combinatorics , political science , law
In this paper, the ergodic mutual information of point‐to‐point multi‐antenna systems with spatially correlated Nakagami‐ m fading channel is studied. We consider that no channel knowledge is available at the transmitter side, while the receiver has perfect channel state information. Using the unitary‐independent‐unitary framework, tools from majorisation theory, and recent results on the sum of independent Gamma random variables with different parameters, we derive new analytical closed‐form bounds and tight approximations to the ergodic mutual information in spatially correlated multi‐antenna channels. Our analytical expressions are verified through Monte Carlo simulations, and their effectiveness is compared with prior results in the literature. Copyright © 2016 John Wiley & Sons, Ltd.