• DocumentCode
    892083
  • Title

    A geometric approach to the maximum likelihood spectral estimator for sinusoids in noise

  • Author

    Foias, C. ; Frazho, Arthur E. ; Sherman, Peter J.

  • Author_Institution
    Dept. of Math., Indiana Univ., Bloomington, IN, USA
  • Volume
    34
  • Issue
    5
  • fYear
    1988
  • fDate
    9/1/1988 12:00:00 AM
  • Firstpage
    1066
  • Lastpage
    1070
  • Abstract
    The problem of estimating sinusoids that have been corrupted by additive stationary noise is addressed. It is shown how the Naimark dilation for the data correlation sequence can be used to provide additional insight into some fundamental results on orthogonal polynomials and to give a new interpretation of the maximum-likelihood (ML) spectral estimator
  • Keywords
    correlation methods; noise; polynomials; spectral analysis; Naimark dilation; additive stationary noise; data correlation sequence; geometric approach; maximum likelihood spectral estimator; noise; orthogonal polynomials; sinusoids; Additive noise; Colored noise; Frequency estimation; H infinity control; Hilbert space; Maximum likelihood estimation; Polynomials; Signal to noise ratio; Working environment noise; Yield estimation;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.21232
  • Filename
    21232