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DETERMINISM TEST AND NOISE ESTIMATE FOR A COMPLEX TIME SERIES

机译:复杂时间序列的确定性测试和噪声估计

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摘要

We address the issue of recognizing determinism in a time series. Specifically, we employ the method of singular-value decomposition (SVD) to derive the eigenvalue spectra of the trajectory matrices constructed from a number of scalar time series, mainly white noise and chaotic signals, where a very large embedding dimension is used. The results suggest that the SVD eigenvalue spectrum can be employed as a measure of determinism and an estimate for the strength of a noise contained in the time series can be deduced. [References: 18]
机译:我们解决了按时间序列识别确定性的问题。具体来说,我们采用奇异值分解(SVD)的方法来推导由许多标量时间序列(主要是白噪声和混沌信号)构成的轨迹矩阵的特征值谱,其中使用了很大的嵌入维。结果表明,可以将SVD特征值谱用作确定性的量度,并可以推断出时间序列中包含的噪声的强度。 [参考:18]

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