• DocumentCode
    3163809
  • Title

    Metrics for multivariate power spectra

  • Author

    Lipeng Ning ; Xianhua Jiang ; Georgiou, Tryphon T.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA
  • fYear
    2012
  • fDate
    10-13 Dec. 2012
  • Firstpage
    4727
  • Lastpage
    4732
  • Abstract
    This paper builds on earlier work in [1] on metrics for power spectral densities (PSD) of multivariable time-series. We present an approach to quantify dissimilarities aimed at optimal prediction and smoothing. Divergence measures are constructed based on the degradation of prediction-error and smoothing-error variances. These induce Riemannian metrics which generalize earlier results for scalar PSD´s.
  • Keywords
    time series; PSD; Riemannian metrics; divergence measures; multivariable time-series; multivariate power spectra; optimal prediction; power spectral densities; prediction-error variances; smoothing-error variances; Degradation; Geometry; Power measurement; Smoothing methods; Spectral analysis; Technological innovation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
  • Conference_Location
    Maui, HI
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-2065-8
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2012.6426046
  • Filename
    6426046