• DocumentCode
    2466376
  • Title

    Analysis of 1/f processes

  • Author

    Shusterman, E. ; Feder, M.

  • Author_Institution
    Dept. of Electr. Eng. Syst., Tel Aviv Univ., Israel
  • fYear
    1996
  • fDate
    18-21 Jun 1996
  • Firstpage
    201
  • Lastpage
    204
  • Abstract
    1/f processes can be very useful in modeling processes with long term correlation. We propose a simple yet efficient algorithm for analysis and synthesis of these processes. Unlike previous techniques, our analysis procedure generates uncorrelated decomposition coefficients for the 1/f process. This is done by taking into account, and then removing, the residual correlation between the wavelet components. The analysis procedure is the major contribution of this work. The proposed synthesis algorithm, which is a by-product of the proposed analysis algorithm, is competitive with other techniques. These procedures can be very useful in different fractal signal processing applications
  • Keywords
    correlation methods; fractals; signal processing; signal synthesis; stochastic processes; wavelet transforms; 1/f processes; analysis algorithm; analysis procedure; fractal signal processing applications; long term correlation; residual correlation; stochastic self similar process; synthesis algorithm; uncorrelated decomposition coefficients; wavelet components; Equations; Filters; Frequency; Signal analysis; Signal synthesis; Wavelet analysis; Wavelet coefficients; Wavelet transforms; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
  • Conference_Location
    Paris
  • Print_ISBN
    0-7803-3512-0
  • Type

    conf

  • DOI
    10.1109/TFSA.1996.547216
  • Filename
    547216