• DocumentCode
    1379368
  • Title

    A Karhunen-Loeve-like expansion for 1/f processes via wavelets

  • Author

    Wornell, Gregory W.

  • Author_Institution
    Res. Lab. of Electron., MIT, Cambridge, MA
  • Volume
    36
  • Issue
    4
  • fYear
    1990
  • fDate
    7/1/1990 12:00:00 AM
  • Firstpage
    859
  • Lastpage
    861
  • Abstract
    While so-called 1/f or scaling processes emerge regularly in modeling a wide range of natural phenomena, as yet no entirely satisfactory framework has been described for the analysis of such processes. Orthonormal wavelet bases are used to provide a new construction for nearly 1/f processes from a set of uncorrelated random variables
  • Keywords
    random processes; 1/f processes; Karhunen-Loeve-like expansion; orthonormal wavelet bases; scaling processes; uncorrelated random variables; Band pass filters; Councils; Fourier transforms; Frequency measurement; Information filtering; Information filters; Monitoring; Multiresolution analysis; Random variables; Signal resolution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.53745
  • Filename
    53745