Estimation of time delay by coherence analysis
0301 basic medicine
03 medical and health sciences
Physics - Data Analysis, Statistics and Probability
FOS: Physical sciences
Medical Physics (physics.med-ph)
Physics - Medical Physics
Data Analysis, Statistics and Probability (physics.data-an)
DOI:
10.1016/j.physa.2004.11.043
Publication Date:
2004-12-17T18:29:42Z
AUTHORS (5)
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��ssler 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.<br/>21 pages, 8 figures, elstart.cls file included. Accepted for publication in Physica A<br/>
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