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    Analytical Derivation of the Inverse Moments of One-Sided Correlated Gram Matrices With Applications

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    07398147.pdf
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    Type
    Article
    Authors
    Elkhalil, Khalil cc
    Kammoun, Abla cc
    Al-Naffouri, Tareq Y. cc
    Alouini, Mohamed-Slim cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2016-02-03
    Online Publication Date
    2016-02-03
    Print Publication Date
    2016-05
    Permanent link to this record
    http://hdl.handle.net/10754/595583
    
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    Abstract
    This paper addresses the development of analytical tools for the computation of the inverse moments of random Gram matrices with one side correlation. Such a question is mainly driven by applications in signal processing and wireless communications wherein such matrices naturally arise. In particular, we derive closed-form expressions for the inverse moments and show that the obtained results can help approximate several performance metrics such as the average estimation error corresponding to the Best Linear Unbiased Estimator (BLUE) and the Linear Minimum Mean Square Error (LMMSE) estimator or also other loss functions used to measure the accuracy of covariance matrix estimates.
    Citation
    Analytical Derivation of the Inverse Moments of One-Sided Correlated Gram Matrices With Applications 2016:1 IEEE Transactions on Signal Processing
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Signal Processing
    DOI
    10.1109/TSP.2016.2523451
    arXiv
    1507.00629
    Additional Links
    http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7398147
    ae974a485f413a2113503eed53cd6c53
    10.1109/TSP.2016.2523451
    Scopus Count
    Collections
    Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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