Closed-form expressions for the outage and ergodic Shannon capacity of MIMO MRC systems

Author

Maaref, Amine ; AÏssa, Sonia

Author_Institution

Univ. of Quebec, Montreal, Que., Canada

Volume

53

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

1092

Lastpage

1095

Abstract

Transmit-beamforming (TB) over multiple-input multiple-output (MIMO) fading channels steers the transmit power in the receiver´s direction, so as to maximize the output signal-to-noise ratio (SNR) after maximal ratio combining (MRC) at the receiver. This letter proposes a simple algorithm that allows evaluating an exact and tractable expression for the probability density function of the SNR at the output of the TB receiver, subject to Rayleigh fading. The latter enables the derivation of closed-form expressions for the outage and ergodic capacity of MIMO MRC systems under Rayleigh fading, thereby avoiding the need for time-consuming numerical integrations or Monte Carlo simulations.

Keywords

MIMO systems; Monte Carlo methods; Rayleigh channels; antenna arrays; beam steering; diversity reception; integration; probability; receiving antennas; MIMO MRC systems; Monte Carlo simulations; Rayleigh fading; ergodic Shannon capacity; maximal ratio combining; multiple-input multiple-output fading channels; outage Shannon capacity; output signal-to-noise ratio; probability density function; receiver direction; time-consuming numerical integrations; transmit power; transmit-beamforming receiver; Closed-form solution; Diversity reception; Fading; MIMO; Probability density function; Random variables; Rayleigh channels; Receiving antennas; Signal to noise ratio; Wireless communication; Beamforming; Rayleigh fading; ergodic capacity; maximal ratio combining (MRC); multiple-input multiple-output (MIMO) systems; outage capacity;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2005.851564

Filename

1468426