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

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    Type
    Article
    Authors
    Wang, Kezhi
    Wang, Tian
    Chen, Yunfei
    Alouini, Mohamed-Slim cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Communication Theory Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2014-08-01
    Online Publication Date
    2014-08-01
    Print Publication Date
    2015-06
    Permanent link to this record
    http://hdl.handle.net/10754/565857
    
    Metadata
    Show full item record
    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. © 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.2014.2345258
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Vehicular Technology
    DOI
    10.1109/TVT.2014.2345258
    ae974a485f413a2113503eed53cd6c53
    10.1109/TVT.2014.2345258
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Electrical and Computer Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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