• DocumentCode
    1677002
  • Title

    Modeling of a generalized Brownian motion based on wavelet — Computer technology

  • Author

    Chkheidze, I. ; Tokadze, L. ; Okromtchedlishvili, S.

  • Author_Institution
    Georgian Tech. Univ., Tbilisi, Georgia
  • fYear
    2012
  • Firstpage
    1
  • Lastpage
    2
  • Abstract
    In the present work the simple way of modeling of the generalized Brownian motion on the basis of Wavelet technologies is offered. It is realized in the program Mathcad environment; using concept of the generalized Brownian motion, it is possible to define nature of researched process. It can possess persistentny or antipersistentny properties; the indicator of H characterizes dimension (crenation) temporary series: antipersistentnost possesseshas high dimension (H<;0.5), while (H>0.5) has low dimension; the signals for which H>0.5 should be related to group chaotically - determined signals (Fractal Signals), which are the carriers both determinedand random properties.
  • Keywords
    Brownian motion; time series; wavelet transforms; Mathcad environment; antipersistentny property; fractal signal; generalized Brownian motion modeling; group chaotically determined signal; persistentny property; wavelet technology; Wavelet computer technology; antipersistentny andpersistentny process; generalized Brownian motion; modeling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
  • Conference_Location
    Baku
  • Print_ISBN
    978-1-4673-4500-2
  • Type

    conf

  • DOI
    10.1109/ICPCI.2012.6486376
  • Filename
    6486376