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A comparison of waveform fractal dimension algorithms
Abstract
The fractal dimension of a waveform represents a powerful tool for transient detection. In particular, in analysis of electroencephalograms and electrocardiograms, this feature has been used to identify and distinguish specific states of physiologic function. A variety of algorithms are available for the computation of fractal dimension. In this study, the most common methods of estimating the fractal dimension of biomedical signals directly in the time domain (considering the time series as a geometric object) are analyzed and compared. The analysis is performed over both synthetic data and intracranial electroencephalogram data recorded during presurgical evaluation of individuals with epileptic seizures. The advantages and drawbacks of each technique are highlighted. The effects of window size, number of overlapping points, and signal-to-noise ratio are evaluated for each method. This study demonstrates that a careful selection of fractal dimension algorithm is required for specific applications.
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Citations
Cites
Detecting strange attractors in turbulence
Takens, F. (1981) · Lecture Notes in Mathematics · doi:10.1007/bfb0091924 · Cited by 10,459
Cited by
Čukić, M., Stokić, M., Simić, S., & Pokrajac, D. (2020) · Cognitive Neurodynamics · doi:10.1007/s11571-020-09581-x · Cited by 130
Alzheimer's disease and automatic speech analysis: A review
Pulido, M. L. B., Hernández, J. B. A., Ballester, M. Á. F., González, C. M. T., Mekyska, J., & Smékal, Z. (2020) · Expert Systems with Applications · doi:10.1016/j.eswa.2020.113213 · Cited by 120
Pathological assessment of patients’ speech signals using nonlinear dynamical analysis
Vaziri, G., Almasganj, F., & Behroozmand, R. (2010) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2009.10.011 · Cited by 88
Automated classification of swallowing and breadth sounds
Aboofazeli, M., & Moussavi, Z. (2005) · The 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society · doi:10.1109/iembs.2004.1404069 · Cited by 37
Metadata
- Authors
- Esteller, R., Vachtsevanos, G., Echauz, J., & Litt, B.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 2001
- Volume
- 48
- Issue
- 2
- Pages
- 177-183
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2156770021
- Cited by
- 470
- References
- 1
- FWCI
- 0.84
- Type
- journal article
- Language
- en
- Open access
- closed
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