DocumentCode :
738031
Title :
Statistics of 
Random Variables and Their Applications in Wireless Multihop Relaying and Multiple Scattering Channels
Author :
Kezhi Wang ; Tian Wang ; Yunfei Chen ; Alouini, Mohamed-Slim
Author_Institution :
Sch. of Eng., Univ. of Warwick, Coventry, UK
Volume :
64
Issue :
6
fYear :
2015
fDate :
6/1/2015 12:00:00 AM
Firstpage :
2754
Lastpage :
2759
Abstract :
Exact results for the probability density function (PDF) and cumulative distribution function (CDF) of the sum of ratios of products (SRP) and the sum of products (SP) of independent α-μ random variables (RVs) are derived. They are in the form of 1-D integral based on the existing works on the products and ratios of α-μ RVs. In the derivation, generalized Gamma (GG) ratio approximation (GGRA) is proposed to approximate SRP. Gamma ratio approximation (GRA) is proposed to approximate SRP and the ratio of sums of products (RSP). GG approximation (GGA) and Gamma approximation (GA) are used to approximate SP. The proposed results of the SRP can be used to calculate the outage probability (OP) for wireless multihop relaying systems or multiple scattering channels with interference. The proposed results of the SP can be used to calculate the OP for these systems without interference. In addition, the proposed approximate result of the RSP can be used to calculate the OP of the signal-to-interference ratio (SIR) in a multiple scattering system with interference.
Keywords :
approximation theory; probability; radiofrequency interference; relay networks (telecommunication); α-μ random variable statistics; 1D integral; CDF; GG approximation; GGA; GGRA; PDF; SRP approximation; cumulative distribution function; generalized Gamma ratio approximation; multiple-scattering channel-interference; outage probability; probability density function; signal-to-interference ratio; sum-of-ratio-of-products; wireless multihop relaying systems; Approximation methods; Fading; Random variables; Receivers; Scattering; Signal to noise ratio; Wireless communication; $alpha-mu$ random variables (RVs); Generalized Gamma ratio approximation (GGRA); interference; multihop relaying; multiple scattering;
fLanguage :
English
Journal_Title :
Vehicular Technology, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9545
Type :
jour
DOI :
10.1109/TVT.2014.2345258
Filename :
6870456
Link To Document :
