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

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

LanguageEnglish
Pages867-874
Number of pages8
JournalIndian Journal of Physics
Volume88
Issue number8
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Control
  • Fractal
  • Wavelet

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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