Statistics of α-μ Random Variables and Their Applications in Wireless Multihop Relaying and Multiple Scattering Channels

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. ISSN 0018-9545

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Official URL: http://dx.doi.org/10.1109/TVT.2014.2345258

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: Article
Subjects: G400 Computer Science
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: Becky Skoyles
Date Deposited: 27 Jun 2018 12:04
Last Modified: 27 Jun 2018 12:04
URI: http://nrl.northumbria.ac.uk/id/eprint/34729

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