Estimating hurst exponent with wavelet packet

Zhiguo Wang*, Dechun Guo, Xi Li, Yuanchun Fei

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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Abstract

Applied in many areas, from original hydrology to modern computer networking, Hurst exponent provides us with an indicator that the analyzed data is a completely random process or has underlying trends. But a good estimation of Hurst exponent remains complicated as R/S algorithm shows. Recurring to fractal mathematics, especially the research on fractal Brownian motion (fBm), wavelet packet transform is introduced to estimate Hurst exponent. Compared with wavelet transform and other estimating methods, the wavelet packet algorithm is found able to provide more accurate result. And another advantage of wavelet packet is the extensive choice of available analyzing wavelet filter functions.

Original languageEnglish
Title of host publication2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design, CAIDC
DOIs
Publication statusPublished - 2006
Event2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design, CAIDC - Hangzhou, China
Duration: 17 Nov 200619 Nov 2006

Publication series

Name2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design, CAIDC

Conference

Conference2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design, CAIDC
Country/TerritoryChina
CityHangzhou
Period17/11/0619/11/06

Keywords

  • FBm
  • Hurst exponent
  • R/S
  • Wavelet packet

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Wang, Z., Guo, D., Li, X., & Fei, Y. (2006). Estimating hurst exponent with wavelet packet. In 2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design, CAIDC Article 4127049 (2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design, CAIDC). https://doi.org/10.1109/CAIDCD.2006.329420