Title :
On some applications of the distribution of ordered eigenvalues of wishart matrices
Author :
Kwan, Raymond ; Leung, Cyril ; Ho, Paul
Author_Institution :
Univ. of Bedfordshire, Luton
Abstract :
The marginal distributions of arbitrarily ranked eigenvalues of the Wishart matrix are derived in (R. Kwan et al, 2007). In this paper, the result is used to obtain a simple, exact analytical expression for the average symbol error rate (ASER) in a multiple-input, multiple-output (MIMO) system with multiple beamforming (MB) in a Rayleigh fading environment. A good approximation to the outage probability (OP) of the system is also provided. The results show that both ASER and OP are important performance measures in the analysis of MB-MIMO systems. The result in (R. Kwan et al, 2007) is also used to study the ergodic capacity of MIMO systems which use antenna subset selection.
Keywords :
MIMO communication; Rayleigh channels; approximation theory; eigenvalues and eigenfunctions; matrix algebra; statistical distributions; Rayleigh fading environment; Wishart matrices; antenna subset selection; arbitrarily ranked eigenvalues; average symbol error rate; marginal distributions; multiple beamforming; multiple-input, multiple-output system; ordered eigenvalues; outage probability approximation; Application software; Computer networks; Design engineering; Distributed computing; Eigenvalues and eigenfunctions; Error analysis; Integral equations; MIMO; Rayleigh channels; Wireless networks;
Conference_Titel :
Information, Communications & Signal Processing, 2007 6th International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0982-2
Electronic_ISBN :
978-1-4244-0983-9
DOI :
10.1109/ICICS.2007.4449606
