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

L. Zhang, S. T. Liu, C. Yu

Research output: Contribution to journalArticleResearchpeer-review

3 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
Externally publishedYes

Keywords

  • Control
  • Fractal
  • Wavelet

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