Statistical Analysis of the Smallest Singular Value in Ricean Fading MIMO Channels

Author

Jin, Shi ; Fu, Tuo ; Gao, Xiqi

Author_Institution

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

Volume

2

fYear

2006

fDate

25-28 June 2006

Firstpage

640

Lastpage

644

Abstract

Using results from multivariate statistical theory, we first derive new expressions of cumulative distribution function (CDF) of the smallest singular value of Ricean fading MIMO channels with arbitrary rank channel means. Then we investigate the corresponding distributions of some special cases, such as independent and identically distributed (i.i.d.) Rayleigh fading and rank-1 Ricean fading MIMO channels. The formulas of smallest eigenvalue of probability density function (PDF) for complex Wishart matrices are also provided. These new statistical results are then applied to the performance analysis of MIMO systems. Finally, numerical results that confirm the theoretical analysis are presented

Keywords

MIMO communication; Rayleigh channels; Rician channels; eigenvalues and eigenfunctions; matrix algebra; statistical analysis; MIMO systems performance analysis; PDF; Ricean fading MIMO channels; arbitrary rank channel mean matrices; complex Wishart matrices; cumulative distribution function; eigenvalue; identical distributed Rayleigh fading; multivariate statistical theory; probability density function; singular value; statistical analysis; AWGN; Eigenvalues and eigenfunctions; Fading; MIMO; Mobile communication; Random variables; Rayleigh channels; Receiving antennas; Statistical analysis; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems Proceedings, 2006 International Conference on

Conference_Location

Guilin

Print_ISBN

0-7803-9584-0

Electronic_ISBN

0-7803-9585-9

Type

conf

DOI

10.1109/ICCCAS.2006.284739

Filename

4063980