• DocumentCode
    1907534
  • Title

    Non-parametric Power Spectrum Estimation with Circular Overlap

  • Author

    Barbe, Kurt ; Schoukens, Johan ; Pintelon, Rik

  • Author_Institution
    Dept. ELEC, Vrije Univ. Brussel, Brussels
  • fYear
    2008
  • fDate
    12-15 May 2008
  • Firstpage
    336
  • Lastpage
    341
  • Abstract
    This paper studies non-parametric power spectrum estimation with circular overlap. Although circular overlap imposes a discontinuity on the stochastic process under investigation; it is shown that for a (Gaussian) ergodic weakly stationary process the power spectrum estimator with circular overlap is asymptotically unbiased. Also the variance decreases due to the overlap. Furthermore, a closed form expression is derived for the lowest reachable variance, with respect to all possible fractions of overlap.
  • Keywords
    Gaussian processes; signal processing; Gaussian ergodic weakly stationary process; circular overlap; digital signal processing; nonparametric power spectrum estimation; stochastic process; Digital signal processing; Frequency; Instrumentation and measurement; Power generation; Signal analysis; Spectral analysis; Speech analysis; Speech recognition; Stochastic processes; Time measurement; Overlap; Power Spectrum; Variance Reduction; Windowing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Instrumentation and Measurement Technology Conference Proceedings, 2008. IMTC 2008. IEEE
  • Conference_Location
    Victoria, BC
  • ISSN
    1091-5281
  • Print_ISBN
    978-1-4244-1540-3
  • Electronic_ISBN
    1091-5281
  • Type

    conf

  • DOI
    10.1109/IMTC.2008.4547057
  • Filename
    4547057