Statistics of α-μ Random Variables and Their Applications inWireless Multihop Relaying and Multiple Scattering Channels
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramCommunication Theory Lab
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2014-08-01Online Publication Date
2014-08-01Print Publication Date
2015-06Permanent link to this record
http://hdl.handle.net/10754/565857
Metadata
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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. © 1967-2012 IEEE.Citation
Wang, K., Wang, T., Chen, Y., & Alouini, M.-S. (2015). Statistics of $\alpha-\mu$ Random Variables and Their Applications in Wireless Multihop Relaying and Multiple Scattering Channels. IEEE Transactions on Vehicular Technology, 64(6), 2754–2759. doi:10.1109/tvt.2014.2345258ae974a485f413a2113503eed53cd6c53
10.1109/TVT.2014.2345258