Estimation of time delay by coherence analysis

@article{citeulike:391999, 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 Rossler 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.}, author = {Govindan, R. B. and Raethjen, J. and Kopper, F. and Claussen, J. C. and Deuschl, G. }, citeulike-article-id = {391999}, doi = {10.1016/j.physa.2004.11.043}, journal = {Physica A: Statistical and Theoretical Physics}, keywords = {delay, time}, month = {May}, number = {2-4}, pages = {277--295}, posted-at = {2005-11-13 18:21:38}, priority = {2}, title = {Estimation of time delay by coherence analysis}, url = {http://dx.doi.org/10.1016/j.physa.2004.11.043}, volume = {350}, year = {2005} }

TY - JOUR ID - citeulike:391999 L3 - citeulike-article-id:391999 TI - Estimation of time delay by coherence analysis JF - Physica A: Statistical and Theoretical Physics VL - 350 IS - 2-4 SP - 277 EP - 295 N2 - 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 Rossler 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. KW - delay KW - time AU - Govindan, RB AU - Raethjen, J AU - Kopper, F AU - Claussen, JC AU - Deuschl, G PY - 2005/05/15/ UR - http://dx.doi.org/10.1016/j.physa.2004.11.043 ER -