• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Numerically Stable Evaluation of Moments of Random Gram Matrices With Applications

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    07994691.pdf
    Size:
    1.676Mb
    Format:
    PDF
    Description:
    Accepted Manuscript
    Download
    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
    2017-07-31
    Preprint Posting Date
    2017-01-08
    Online Publication Date
    2017-07-31
    Print Publication Date
    2017-09
    Permanent link to this record
    http://hdl.handle.net/10754/625287
    
    Metadata
    Show full item record
    Abstract
    This paper focuses on the computation of the positive moments of one-side correlated random Gram matrices. Closed-form expressions for the moments can be obtained easily, but numerical evaluation thereof is prone to numerical stability, especially in high-dimensional settings. This letter provides a numerically stable method that efficiently computes the positive moments in closed-form. The developed expressions are more accurate and can lead to higher accuracy levels when fed to moment based-approaches. As an application, we show how the obtained moments can be used to approximate the marginal distribution of the eigenvalues of random Gram matrices.
    Citation
    Elkhalil K, Kammoun A, Al-Naffouri TY, Alouini M-S (2017) Numerically Stable Evaluation of Moments of Random Gram Matrices With Applications. IEEE Signal Processing Letters 24: 1353–1357. Available: http://dx.doi.org/10.1109/LSP.2017.2731373.
    Sponsors
    This work was funded by a CRG3 grant from the office of competitive research (OCRF) at KAUST.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Signal Processing Letters
    DOI
    10.1109/LSP.2017.2731373
    arXiv
    1701.02013
    Additional Links
    http://ieeexplore.ieee.org/document/7994691/
    ae974a485f413a2113503eed53cd6c53
    10.1109/LSP.2017.2731373
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2022  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.