Title :
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
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;
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
DOI :
10.1109/ICCCAS.2006.284739
