Wang, Kezhi, Wang, Tian, Chen, Yunfei and Alouini, Mohamed-Slim (2015) Statistics of α - μ random variables and their applications in wireless multihop relaying and multiple scattering channels. IEEE Transactions on Vehicular Technology, 64 (6). pp. 2754-2759. doi:10.1109/TVT.2014.2345258 ISSN 0018-9545.

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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.

Item Type:	Journal Article
Alternative Title:	Statistics of \alpha -\mu random variables and their applications in wireless multihop relaying and multiple scattering channels
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:	Faculty of Science, Engineering and Medicine > Engineering > Engineering
Library of Congress Subject Headings (LCSH):	Wireless communication systems
Journal or Publication Title:	IEEE Transactions on Vehicular Technology
Publisher:	IEEE
ISSN:	0018-9545
Official Date:	June 2015
Dates:	Date Event June 2015 Published
Volume:	64
Number:	6
Page Range:	pp. 2754-2759
DOI:	10.1109/TVT.2014.2345258
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	10 February 2016
Date of first compliant Open Access:	10 February 2016

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