• DocumentCode
    1537941
  • Title

    Reflection coefficients of band-limited spectra and band-limited spectrum modeling

  • Author

    Chonavel, Thierry ; Dégerine, Serge

  • Author_Institution
    ENSTBr, Brest, France
  • Volume
    45
  • Issue
    6
  • fYear
    1999
  • fDate
    9/1/1999 12:00:00 AM
  • Firstpage
    2030
  • Lastpage
    2038
  • Abstract
    We study the properties of the reflection coefficients of band-limited spectra. We show that they must belong to simple subsets of the unit disk. Then, the problem of band-limited spectrum modeling is addressed in a more appropriate way than with approaches based on correlation coefficients. In particular, we derive a new band-limited spectrum model for band-limited signals with first correlation coefficients matching the signal ones. The practical behavior of the model is illustrated with an example
  • Keywords
    bandlimited signals; correlation methods; reflection; spectral analysis; band-limited signals; band-limited spectra; band-limited spectrum modeling; correlation coefficients matching; reflection coefficients; trigonometric moment problem; unit disk; Algorithm design and analysis; Autocorrelation; Maximum likelihood estimation; Polynomials; Reflection; Statistics; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.782128
  • Filename
    782128