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

fYear

2007

fDate

10-13 Dec. 2007

Firstpage

1

Lastpage

5

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICICS.2007.4449606

Filename

4449606