Title :
Largest Eigenvalue Statistics of Double-Correlated Complex Wishart Matrices and MIMO-MRC
Author :
McKay, Matthew R. ; Grant, Alex J. ; Collings, Iain B.
Author_Institution :
Sch. of Electr. & Inf. Eng., Sydney Univ., NSW
Abstract :
This paper considers multiple-input multiple-output (MIMO) antenna systems employing transmit beamforming (BF) with maximum ratio combining (MRC) receivers. Rayleigh fading environments are considered, with both transmit and receive spatial correlation. Exact expressions are presented for the probability density function (p.d.f.) of the output signal-to-noise ratio (SNR), as well as the system outage probability. The results are based on efficient closed-form expressions which we derive for the p.d.f. and c.d.f. of the maximum eigenvalue of double-correlated complex Wishart matrices. The results are validated through comparison with Monte-Carlo simulations, and used to examine the effect of spatial correlation on the SNR p.d.f. and the outage probability
Keywords :
MIMO systems; Monte Carlo methods; Rayleigh channels; antenna arrays; array signal processing; correlation methods; eigenvalues and eigenfunctions; matrix algebra; probability; MIMO; MIMO-MRC; Monte-Carlo simulations; Rayleigh fading environments; SNR; antenna systems; double-correlated complex Wishart matrices; eigenvalue statistics; maximum eigenvalue; maximum ratio combining receivers; multiple-input multiple-output; probability density function; signal-to-noise ratio; spatial correlation; system outage probability; transmit beamforming; Array signal processing; Closed-form solution; Eigenvalues and eigenfunctions; MIMO; Probability density function; Rayleigh channels; Receiving antennas; Signal to noise ratio; Statistics; Transmitting antennas;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1660890
