Estimating the phase of synchronized oscillators.
Estimating the phase of synchronized oscillators.
复制标题
估计同步振荡器的相位。
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
J. Guckenheimer
中科院分区：
文献类型：
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作者：
Shai Revzen;J. Guckenheimer
锁相振荡器的集合的状态由单个相位变量或循环坐标确定。本文提出了一种计算方法，相位，估计相位锁定振荡器的相位从有限数量的多变量数据存在噪声和测量误差。测量被假定为多维时间序列的集合。每个系列由相同或相似系统的几个循环组成。每个系统中的振子并不假定是相同的。使用多变量输入的噪声协方差的测量，来自系统中的各个振荡器的数据被组合以减小整个系统的相位估计的方差。该算法的有效性证明了实验和模型数据从生物力学蟑螂运行和模拟振荡器具有不同程度的噪声。
The state of a collection of phase-locked oscillators is determined by a single phase variable or cyclic coordinate. This paper presents a computational method, Phaser, for estimating the phase of phase-locked oscillators from limited amounts of multivariate data in the presence of noise and measurement errors. Measurements are assumed to be a collection of multidimensional time series. Each series consists of several cycles of the same or similar systems. The oscillators within each system are not assumed to be identical. Using measurements of the noise covariance for the multivariate input, data from the individual oscillators in the system are combined to reduce the variance of phase estimates for the whole system. The efficacy of the algorithm is demonstrated on experimental and model data from biomechanics of cockroach running and on simulated oscillators with varying levels of noise.