• DocumentCode
    755454
  • Title

    Autoregressive spectral estimation in additive noise

  • Author

    Gingras, Donald F. ; Masry, Elias

  • Author_Institution
    US Naval Ocean Syst. Center, San Diego, CA, USA
  • Volume
    36
  • Issue
    4
  • fYear
    1988
  • fDate
    4/1/1988 12:00:00 AM
  • Firstpage
    490
  • Lastpage
    501
  • Abstract
    The estimation of the spectral density of a discrete-time stationary Gaussian autoregressive process AR (p) from a finite set of noise observations is considered. A modified spectral estimator based on the high-order Yule-Walker equations is considered. Joint asymptotic normality of this spectral estimator is established; a precise asymptotic expression for the covariance matrix of the limiting distribution is obtained. The special case of AR(1) plus noise is considered in some detail
  • Keywords
    random noise; random processes; spectral analysis; Gaussian autoregressive process; additive noise; asymptotic expression; autoregressive spectral estimation; covariance matrix; discrete-time stationary process; high-order Yule-Walker equations; limiting distribution; noise observations; Additive noise; Autoregressive processes; Covariance matrix; Equations; Gaussian noise; H infinity control; Limiting; Parameter estimation; Signal processing; Signal to noise ratio;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/29.1553
  • Filename
    1553