• DocumentCode
    3005500
  • Title

    Asymptotic properties of high-order Yule-Walker estimates of frequencies of multiple sinusoids

  • Author

    Stoica, P. ; Friedlander, B. ; Söderström, T.

  • Author_Institution
    Institutul Polytechnic Bucuresti, Bucharest, Romania
  • Volume
    11
  • fYear
    1986
  • fDate
    31503
  • Firstpage
    609
  • Lastpage
    612
  • Abstract
    The asymptotic properties of the high-order Yule-Walker (HOYW) estimator of sinusoidal frequencies are analyzed. An explicit formula for the covariance matrix of the HOYW frequency estimation error is derived. The effects of the number of equations, the model order and a certain weighting matrix are investigated analytically. The optimally weighted HOYW estimator is described. The analysis motivates using an overdetermined and high-order Yule-Walker estimator.
  • Keywords
    Automatic control; Contracts; Control system analysis; Covariance matrix; Difference equations; Frequency estimation; Matrix decomposition; Milling machines; Polynomials; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '86.
  • Type

    conf

  • DOI
    10.1109/ICASSP.1986.1169013
  • Filename
    1169013