Ordered Eigenvalues of Complex Noncentral Wishart Matrices and Performance Analysis of SVD MIMO Systems

Author

Jin, Shi ; Gao, Xiqi ; McKay, Matthew R.

Author_Institution

Nat. Mobile Commun. Res. Lab., Southeast Univ., Nanjing

fYear

2006

fDate

9-14 July 2006

Firstpage

1564

Lastpage

1568

Abstract

We derive new closed-form expressions for the marginal cumulative distribution function (c.d.f.) and marginal probability density function (p.d.f.) of the ordered eigenvalues of complex noncentral Wishart matrices. These results are used to analyze the performance of singular value decomposition (SVD) based MIMO systems in Ricean fading channels. New expressions are derived for the exact symbol error rate (SER), as well as the diversity order and array gain. Our results show that the global SER performance is dominated by the subchannel SER corresponding to the minimum channel singular value. Numerical results are presented to validate the theoretical analysis

Keywords

MIMO systems; Rician channels; diversity reception; eigenvalues and eigenfunctions; error statistics; singular value decomposition; Ricean fading channels; SER; SVD MIMO systems; array gain; complex noncentral Wishart matrices; diversity order; exact symbol error rate; marginal cumulative distribution function; marginal probability density function; minimum channel singular value; ordered eigenvalues; singular value decomposition; Closed-form solution; Distribution functions; Eigenvalues and eigenfunctions; Error analysis; Fading; MIMO; Matrix decomposition; Performance analysis; Probability density function; Singular value decomposition;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2006 IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

1-4244-0505-X

Electronic_ISBN

1-4244-0504-1

Type

conf

DOI

10.1109/ISIT.2006.261539

Filename

4036230