Title :
Bivariate gamma distribution from complex inverse wishart matrix
Author :
Xu, Rongtao ; Zhong, Zhangdui ; Chen, Jiann-Mou ; Ai, Bo
Author_Institution :
State Key Lab. of Rail Traffic Control & Safety, Beijing Jiaotong Univ., Beijing
fDate :
2/1/2009 12:00:00 AM
Abstract :
In this letter, a new form of bivariate gamma distribution is proposed from the complex inverse Wishart matrix. We have derived the closed-form expressions for the probability density function and the joint central moments of this bivariate gamma distribution. Finally, the analytical results are used to obtain the outage probability for a multiple-input multiple-output wireless communication systems with two transmit antennas.
Keywords :
MIMO communication; antenna arrays; gamma distribution; matrix algebra; transmitting antennas; bivariate gamma distribution; closed-form expressions; complex inverse Wishart matrix; joint central moments; multiple-input multiple-output wireless communication systems; outage probability; probability density function; transmit antennas; Closed-form solution; Covariance matrix; Fading; Helium; Laboratories; MIMO; Probability density function; Rail transportation; Transmitting antennas; Wireless communication; Bivariate gamma distribution, inverse complex Wishart matrix, MIMO systems, outage probability;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2009.081552
