Control effects of Morlet wavelet term on Weierstrass-Mandelbrot function model

Li Zhang, Shutang Liu, Chenglong Yu

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    In this paper, we have investigated the control problem of the Weierstrass-Mandelbrot function model with Morlet wavelet term. Based on the corollary for its convergence, we have formulated several theorems about the monotonous effects of Morlet wavelet term on scope of the series. In addition, effects of Morlet wavelet term on two important statistical characteristics: multifractality and Hurst exponent have been calculated. We have used simulation examples to illustrate the control effects.

    Original languageEnglish
    Pages (from-to)867-874
    Number of pages8
    JournalIndian Journal of Physics
    Volume88
    Issue number8
    DOIs
    Publication statusPublished - Aug 2014

    Keywords

    • Control
    • Fractal
    • Wavelet

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