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Implements wavelet based multifractal analysis of 1d signals.

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Introduction

The PyMultiFracs package implements wavelet-based multifractal analysis of 1D signals.

Implemented features:

  • Computation of (1D) multiresolution quantities: wavelet coefficients, wavelet-leaders and p-leaders.

  • Computation of structure functions, cumulants and log-cumulants.

  • Estimation of the multifractal spectrum.

  • Bivariate multifractal analysis.

  • Bootstrap-derived confidence intervals and automated scaling range selection.

  • Outlier detection.

The initial implementation of the code in this package was based on the Wavelet p-Leader and Bootstrap based MultiFractal analysis (PLBMF) Matlab toolbox written by Patrice Abry, Herwig Wendt and colleagues. For a thorough introduction to multifractal analysis, you may access H. Wendt’s PhD thesis available in his website.

To get started, please look at our documentation <user_guide/index>.

Installation

PyMultiFracs may be installed using pip:

pip install pymultifracs

For a complete installation guide, please check documentation <user_guide/installation>.

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