Asymptotic SER and Outage Probability of MIMO MRC in Correlated Fading

Author

Jin, Shi ; McKay, Matthew R. ; Gao, Xiqi ; Collings, Iain B.

Author_Institution

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

Volume

14

Issue

1

fYear

2007

Firstpage

9

Lastpage

12

Abstract

This letter derives the asymptotic symbol error rate (SER) and outage probability of multiple-input multiple-output (MIMO) maximum ratio-combining (MRC) systems. We consider Rayleigh fading channels with both transmit and receive spatial correlation. Our results are based on new asymptotic expressions that we derive for the p.d.f. and c.d.f. of the maximum eigenvalue of positive-definite quadratic forms in complex Gaussian matrices. We prove that spatial correlation does not affect the diversity order but that it reduces the array gain and hence increases the SER in the high SNR regime

Keywords

MIMO communication; Rayleigh channels; diversity reception; eigenvalues and eigenfunctions; error statistics; probability; MIMO; MRC; Rayleigh fading channel; SER; asymptotic symbol error rate; eigenvalue; maximum ratio-combining system; multiple-input multiple-output system; positive-definite quadratic form; probability; receive spatial correlation; transmit spatial correlation; 3G mobile communication; Australia; Diversity reception; Eigenvalues and eigenfunctions; Error analysis; Fading; Laboratories; MIMO; Matrix decomposition; Rayleigh channels; Correlation; Rayleigh channels; maximal ratio combining (MRC); multiple-input multiple-output (MIMO);

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2006.881512

Filename

4035705