Author ORCID Identifier
Stergiou - https://orcid.org/0000-0002-9737-9939
Document Type
Article
Publication Date
5-27-2020
Abstract
The calculation of the largest Lyapunov exponent (LyE) requires the reconstruction of the time series in an N-dimensional state space. For this, the time delay (Tau) and embedding dimension (EmD) are estimated using the Average Mutual Information and False Nearest Neighbor algorithms. However, the estimation of these variables (LyE, Tau, EmD) could be compromised by prior filtering of the time series evaluated. Therefore, we investigated the effect of filtering kinematic marker data on the calculation of Tau, EmD and LyE using several different computational codes. Kinematic marker data were recorded from 37 subjects during treadmill walking and filtered using a low pass digital filter with a range of cut-off frequencies (23.5–2Hz). Subsequently, the Tau, EmD and LyE were calculated from all cut-off frequencies. Our results demonstrated that the level of filtering affected the outcome of the Tau, EmD and LyE calculations for all computational codes used. However, there was a more consistent outcome for cut-off frequencies above 10 Hz which corresponded to the optimal cut-off frequency that could be used with this data. This suggested that kinematic data should remain unfiltered or filtered conservatively before calculating Tau, EmD and LyE.
Journal Title
Computers in Biology and Medicine
Volume
122
Recommended Citation
Raffalt, P.C., Senderling, B., & Stergiou, N. (2020, May 27)Filtering affects the calculation of the largest Lyapunov exponent. Computers in Biology and Medicine, 122. https://doi.org/10.1016/j.compbiomed.2020.103786
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Comments
This is an Accepted Manuscript of an article published by Elsevier in Computers in Biology and Medicine on May 27, 2020, available online: https://doi.org/10.1016/j.compbiomed.2020.103786