Abstract:
Four methods for estimating the fractal dimension, namely, relative dispersion, correlation, rescaled range, and Fourier (spectral) analysis, are described. Modifications...Show MoreMetadata
Abstract:
Four methods for estimating the fractal dimension, namely, relative dispersion, correlation, rescaled range, and Fourier (spectral) analysis, are described. Modifications of these methods for use on self-similar or self-affine signals are presented. It is found that correlation analysis and rescaled range analysis yield seriously biased results under many circumstances. Relative dispersion analysis is well suited for long signals. Spectral analysis gives the least biased results, and also has lowest variance in the estimates of the fractal dimension.<>
Published in: IEEE Engineering in Medicine and Biology Magazine ( Volume: 11, Issue: 2, June 1992)
DOI: 10.1109/51.139038
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Time Series ,
- Histogram ,
- Variance Estimates ,
- Power-law ,
- White Noise ,
- Brownian Motion ,
- Estimation Procedure ,
- Double Logarithmic ,
- Osteopontin ,
- Dispersive Analysis ,
- Subintervals ,
- Fourier Analysis ,
- Measurement Resolution ,
- Fractal Dimension ,
- Power-law Function ,
- Preset Value ,
- Autocorrelation Coefficient ,
- Nile River ,
- Brownian Noise ,
- Fractional Brownian Motion ,
- Correlation Analysis ,
- Consecutive Values ,
- Dimension Estimation ,
- Straight Line ,
- Signal Length ,
- Signal State ,
- Time Span
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Time Series ,
- Histogram ,
- Variance Estimates ,
- Power-law ,
- White Noise ,
- Brownian Motion ,
- Estimation Procedure ,
- Double Logarithmic ,
- Osteopontin ,
- Dispersive Analysis ,
- Subintervals ,
- Fourier Analysis ,
- Measurement Resolution ,
- Fractal Dimension ,
- Power-law Function ,
- Preset Value ,
- Autocorrelation Coefficient ,
- Nile River ,
- Brownian Noise ,
- Fractional Brownian Motion ,
- Correlation Analysis ,
- Consecutive Values ,
- Dimension Estimation ,
- Straight Line ,
- Signal Length ,
- Signal State ,
- Time Span
