A procedure to Estimate the Fractal Dimension of Waveforms
Carlos Sevcik
TL;DR
This paper presents a method to estimate the fractal dimension of waveforms by transforming sampled data into a unit square, enabling analysis of their complexity.
Contribution
It introduces a novel procedure for calculating the approximate fractal dimension from waveform data through a specific transformation.
Findings
Effective estimation of fractal dimension demonstrated
Method applicable to various waveform types
Provides a new tool for analyzing waveform complexity
Abstract
A method is described for calculating the approximate fractal dimension from a set of N values y sampled from a waveform between time zero and t. The waveform was subjected to a double linear transformation that maps it into a unit square.
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Taxonomy
TopicsScientific Research and Discoveries · Neural Networks and Applications · Complex Systems and Time Series Analysis