• DocumentCode
    1472216
  • Title

    Eigen-Inference for Energy Estimation of Multiple Sources

  • Author

    Couillet, Romain ; Silverstein, Jack W. ; Bai, Zhidong ; Debbah, Mérouane

  • Author_Institution
    Dept. of Syst. Sci., SUPELEC, Gif-sur-Yvette, France
  • Volume
    57
  • Issue
    4
  • fYear
    2011
  • fDate
    4/1/2011 12:00:00 AM
  • Firstpage
    2420
  • Lastpage
    2439
  • Abstract
    In this paper, a new method is introduced to blindly estimate the transmit power of multiple signal sources in multiantenna fading channels, when the number of sensing devices and the number of available samples are sufficiently large compared to the number of sources. Recent advances in the field of large dimensional random matrix theory are used that result in a simple and computationally efficient consistent estimator of the power of each source. A criterion to determine the minimum number of sensors and the minimum number of samples required to achieve source separation is then introduced. Simulations are performed that corroborate the theoretical claims and show that the proposed power estimator largely outperforms alternative power inference techniques.
  • Keywords
    antenna arrays; blind source separation; fading channels; matrix algebra; random processes; statistical analysis; alternative power inference techniques; blindly estimate; consistent estimator; eigen-inference; energy estimation; large dimensional random matrix theory; multiantenna fading channels; multiple signal sources; multiple sources; power estimator; sensing devices; source separation; transmit power; Covariance matrix; Eigenvalues and eigenfunctions; Estimation; Receiving antennas; Sensors; Transforms; Transmitting antennas; Cognitive radio; G-estimation; power estimation; random matrix theory; statistical inference;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2109990
  • Filename
    5730563