Title :
On the Bivariate and Trivariate Rician Distributions
Author :
Dharmawansa, K.D.P. ; Rajatheva, R.M.A.P. ; Ahmed, K.M.
Author_Institution :
Asian Inst. of Technol., Telecommun. Field of Study, Klong Luang
Abstract :
Exact expression for the joint density of the trivariate Rician variables is not available in the open literature. In this paper, we derive new infinite series representations for the joint probability density function (pdf) and the joint cumulative distribution function (cdf) of three correlated Rician random variables. The cdf and chf of bivariate Rician density are also derived as special cases of the trivariate case. The most celebrated Millers approach is used here in deriving the trivariate Rician distribution . Bounds on the error resulting from truncating the infinite series are also presented.
Keywords :
Rician channels; radio networks; statistical distributions; Millers approach; Rician density; Rician random variables; bivariate Rician distributions; infinite series representations; joint cumulative distribution function; joint probability density function; trivariate Rician distributions; Covariance matrix; Distribution functions; Nakagami distribution; Performance analysis; Probability density function; Random variables; Rayleigh channels; Rician channels; Weibull distribution; Weibull fading channels;
Conference_Titel :
Vehicular Technology Conference, 2006. VTC-2006 Fall. 2006 IEEE 64th
Conference_Location :
Montreal, Que.
Print_ISBN :
1-4244-0062-7
Electronic_ISBN :
1-4244-0063-5
DOI :
10.1109/VTCF.2006.415
