Multifractal Analysis of Imprecise Data: Badii-Politi and Correlation Integral Approaches.

Abstract

Analytic and numerical implementations of the correlation integral and the Badii. Politi multifractal analysis algorithms are described and applied to machine precision and imprecise model multifractal data. The correlation integral technique yields good results for machine precision data and for data with 1 percent random errors. The standard numerical Badii-Politi algorithm did not yield satisfactory results for data with 0.05 percent or larger random errors. However, the present results suggest that a natural generalization of the Badii-Politi approach along the lines suggested by Kostelich and Swinney can be applied to the analysis of imprecise fractal data. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1995
Accession Number
ADA299158

Entities

People

  • Lawrence V. Meisel
  • Marc A. Johnson

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Integrals
  • Precision
  • Standards

Fields of Study

  • Physics

Readers

  • Aerospace Propulsion Engineering.
  • Neural Network Machine Learning.
  • Regression Analysis.