TY - JOUR
T1 - An MGF-based unified framework to determine the joint statistics of partial sums of ordered i.n.d. random variables
AU - Nam, Sungsik
AU - Yang, Hongchuan
AU - Alouini, Mohamed-Slim
AU - Kim, Dongin
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (NRF-2014R1A5A1011478). This is an extended version of a paper which was presented at the IEEE International Symposium on Information Theory (ISIT 2013), Istanbul, Turkey, July 2013.
PY - 2014/8
Y1 - 2014/8
N2 - The joint statistics of partial sums of ordered random variables (RVs) are often needed for the accurate performance characterization of a wide variety of wireless communication systems. A unified analytical framework to determine the joint statistics of partial sums of ordered independent and identically distributed (i.i.d.) random variables was recently presented. However, the identical distribution assumption may not be valid in several real-world applications. With this motivation in mind, we consider in this paper the more general case in which the random variables are independent but not necessarily identically distributed (i.n.d.). More specifically, we extend the previous analysis and introduce a new more general unified analytical framework to determine the joint statistics of partial sums of ordered i.n.d. RVs. Our mathematical formalism is illustrated with an application on the exact performance analysis of the capture probability of generalized selection combining (GSC)-based RAKE receivers operating over frequency-selective fading channels with a non-uniform power delay profile. © 1991-2012 IEEE.
AB - The joint statistics of partial sums of ordered random variables (RVs) are often needed for the accurate performance characterization of a wide variety of wireless communication systems. A unified analytical framework to determine the joint statistics of partial sums of ordered independent and identically distributed (i.i.d.) random variables was recently presented. However, the identical distribution assumption may not be valid in several real-world applications. With this motivation in mind, we consider in this paper the more general case in which the random variables are independent but not necessarily identically distributed (i.n.d.). More specifically, we extend the previous analysis and introduce a new more general unified analytical framework to determine the joint statistics of partial sums of ordered i.n.d. RVs. Our mathematical formalism is illustrated with an application on the exact performance analysis of the capture probability of generalized selection combining (GSC)-based RAKE receivers operating over frequency-selective fading channels with a non-uniform power delay profile. © 1991-2012 IEEE.
UR - http://hdl.handle.net/10754/563679
UR - http://arxiv.org/abs/arXiv:1307.8199v2
UR - http://www.scopus.com/inward/record.url?scp=84904968179&partnerID=8YFLogxK
U2 - 10.1109/TSP.2014.2326624
DO - 10.1109/TSP.2014.2326624
M3 - Article
SN - 1053-587X
VL - 62
SP - 4270
EP - 4283
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 16
ER -