Torre Kjerstin, Delignières Didier
Faculty of Sport Sciences, EA 2991, Motor Efficiency and Deficiency, University Montpellier 1, 700 avenue du Pic saint Loup, 34090, Montpellier, France.
Biol Cybern. 2008 Aug;99(2):159-70. doi: 10.1007/s00422-008-0247-8. Epub 2008 Aug 5.
1/f (beta) noise has been revealed in both self-paced and synchronized tapping sequences, without being consistently taken into consideration for the modeling of underlying timing mechanisms. In this study we characterize variability, short-range, and long-range correlation properties of asynchronies and inter-tap intervals collected in a synchronization tapping experiment, attesting statistically the presence of 1/f (beta) noise in asynchronies. We verify that the linear phase correction model of synchronization tapping in its original formulation cannot account for the empirical long-range correlation properties. On the basis of previous accounts of 1/f (beta) noise in the literature on self-paced tapping, we propose an extension of the original synchronization model by modeling the timekeeping process as a source of 1/f (beta) fluctuations. Simulations show that this '1/f-AR synchronization model' accounts for the statistical properties of empirical series, including long-range correlations, and provides an unifying mechanistic account of 1/f (beta) noise in self-paced and synchronization tapping. This account opens the original synchronization framework to further investigations of timing mechanisms with regard to the serial correlation properties in performed time intervals.
在自定节奏和同步敲击序列中均已发现1/f（β）噪声，但在对潜在计时机制进行建模时，该噪声一直未得到持续的考虑。在本研究中，我们对同步敲击实验中收集的异步性和敲击间隔的变异性、短程和长程相关性特性进行了表征，从统计学上证明了异步性中存在1/f（β）噪声。我们验证了同步敲击的线性相位校正模型在其原始公式中无法解释经验性的长程相关性特性。基于先前关于自定节奏敲击文献中对1/f（β）噪声的描述，我们通过将计时过程建模为1/f（β）波动的来源，对原始同步模型进行了扩展。模拟结果表明，这种“1/f-自回归同步模型”解释了经验序列的统计特性，包括长程相关性，并为自定节奏和同步敲击中的1/f（β）噪声提供了一个统一的机制解释。这一解释为进一步研究执行时间间隔中的序列相关性特性的计时机制打开了原始同步框架。
