dorsal/arxiv
View SchemaEstimation of time delay by coherence analysis
| Authors | R. B. Govindan, J. Raethjen, F. Kopper, J. C. Claussen, G. Deuschl |
|---|---|
| Categories | |
| ArXiv ID | physics/0411141 |
| URL | https://arxiv.org/abs/physics/0411141 |
| DOI | 10.1016/j.physa.2004.11.043 |
Abstract
Using coherence analysis (which is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) we estimate the time delay between two signals. This method is suitable for time delay estimation of narrow band coherence signals for which the conventional methods cannot be reliably applied. We show by analysing coupled R\"ossler attractors with a known delay, that the method yields satisfactory results. Then, we apply this method to human pathologic tremor. The delay between simultaneously measured traces of Electroencephalogram (EEG) and Electromyogram (EMG) data of subjects with essential hand tremor is calculated. We find that there is a delay of 11-27 milli-seconds ($ms$) between the tremor correlated parts (cortex) of the brain (EEG) and the trembling hand (EMG) which is in agreement with the experimentally observed delay value of 15 $ms$ for the cortico-muscular conduction time. By surrogate analysis we calculate error-bars of the estimated delay.
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"abstract": "Using coherence analysis (which is an extensively used method to study the\ncorrelations in frequency domain, between two simultaneously measured signals)\nwe estimate the time delay between two signals. This method is suitable for\ntime delay estimation of narrow band coherence signals for which the\nconventional methods cannot be reliably applied. We show by analysing coupled\nR\\\"ossler attractors with a known delay, that the method yields satisfactory\nresults. Then, we apply this method to human pathologic tremor. The delay\nbetween simultaneously measured traces of Electroencephalogram (EEG) and\nElectromyogram (EMG) data of subjects with essential hand tremor is calculated.\nWe find that there is a delay of 11-27 milli-seconds ($ms$) between the tremor\ncorrelated parts (cortex) of the brain (EEG) and the trembling hand (EMG) which\nis in agreement with the experimentally observed delay value of 15 $ms$ for the\ncortico-muscular conduction time. By surrogate analysis we calculate error-bars\nof the estimated delay.",
"arxiv_id": "physics/0411141",
"authors": [
"R. B. Govindan",
"J. Raethjen",
"F. Kopper",
"J. C. Claussen",
"G. Deuschl"
],
"categories": [
"physics.data-an",
"physics.med-ph"
],
"doi": "10.1016/j.physa.2004.11.043",
"title": "Estimation of time delay by coherence analysis",
"url": "https://arxiv.org/abs/physics/0411141"
},
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