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    Unified Importance Sampling Schemes for Efficient Simulation of Outage Capacity over Generalized Fading Channels

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    Type
    Article
    Authors
    Rached, Nadhir B.
    Kammoun, Abla cc
    Alouini, Mohamed-Slim cc
    Tempone, Raul cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2015-11-13
    Online Publication Date
    2015-11-13
    Print Publication Date
    2016-03
    Permanent link to this record
    http://hdl.handle.net/10754/582497
    
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    Abstract
    The outage capacity (OC) is among the most important performance metrics of communication systems operating over fading channels. Of interest in the present paper is the evaluation of the OC at the output of the Equal Gain Combining (EGC) and the Maximum Ratio Combining (MRC) receivers. In this case, it can be seen that this problem turns out to be that of computing the Cumulative Distribution Function (CDF) for the sum of independent random variables. Since finding a closedform expression for the CDF of the sum distribution is out of reach for a wide class of commonly used distributions, methods based on Monte Carlo (MC) simulations take pride of price. In order to allow for the estimation of the operating range of small outage probabilities, it is of paramount importance to develop fast and efficient estimation methods as naive Monte Carlo (MC) simulations would require high computational complexity. In this line, we propose in this work two unified, yet efficient, hazard rate twisting Importance Sampling (IS) based approaches that efficiently estimate the OC of MRC or EGC diversity techniques over generalized independent fading channels. The first estimator is shown to possess the asymptotic optimality criterion and applies for arbitrary fading models, whereas the second one achieves the well-desired bounded relative error property for the majority of the well-known fading variates. Moreover, the second estimator is shown to achieve the asymptotic optimality property under the particular Log-normal environment. Some selected simulation results are finally provided in order to illustrate the substantial computational gain achieved by the proposed IS schemes over naive MC simulations.
    Citation
    Unified Importance Sampling Schemes for Efficient Simulation of Outage Capacity over Generalized Fading Channels 2015:1 IEEE Journal of Selected Topics in Signal Processing
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Journal of Selected Topics in Signal Processing
    DOI
    10.1109/JSTSP.2015.2500201
    Additional Links
    http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7328688
    ae974a485f413a2113503eed53cd6c53
    10.1109/JSTSP.2015.2500201
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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