从生物时间序列中重建相空间:光容积脉搏波信号案例研究

J. de Pedro-Carracedo, D. Fuentes-Jiménez, A. Ugena, A. Gonzalez-Marcos
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引用次数: 18

摘要

在生物时间序列的分析中,状态空间包含一个框架,用于研究具有想必确定性特性的系统。然而,生理实验通常捕获可观察到的,或者换句话说,捕获表征所研究的生理系统的时间响应的一系列标量测量;在任何时候构成系统状态的动态变量都是不可用的。因此,只有从获得的观测中重建状态向量才能模拟底层系统的不同状态。这就是所谓的状态空间的重建,在现实世界的信号中称为相空间,目前只有使用延迟的方法才能令人满意地解决。每个状态向量由m个分量组成,从延迟时间t的连续观测中提取。状态向量所描述的几何结构的形态及其性质取决于所选择的参数t和m。所研究系统的真实动力学取决于参数t和m的正确确定。只有这样才能推导出具有真正物理意义的特征。揭示可靠地识别生理系统动态复杂性的方面。作为一个案例研究,在这项工作中提出的生物信号是光电容积描记(PPG)信号。我们发现,所有被分析对象的m都是5,t取决于它评估的时间间隔。Henon图和Lorenz流用于促进对应用技术的更直观的理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Phase Space Reconstruction from a Biological Time Series: A Photoplethysmographic Signal Case Study
In the analysis of biological time series, the state space comprises a framework for the study of systems with presumably deterministic properties. However, a physiological experiment typically captures an observable, or, in other words, a series of scalar measurements that characterize the temporal response of the physiological system under study; the dynamic variables that make up the state of the system at any time are not available. Therefore, only from the acquired observations should state vectors reconstructed to emulate the different states of the underlying system. It is what is known as the reconstruction of the state space, called phase space in real-world signals, for now only satisfactorily resolved using the method of delays. Each state vector consists of m components, extracted from successive observations delayed a time t. The morphology of the geometric structure described by the state vectors, as well as their properties, depends on the chosen parameters t and m. The real dynamics of the system under study is subject to the correct determination of the parameters t and m. Only in this way can be deduced characteristics with true physical meaning, revealing aspects that reliably identify the dynamic complexity of the physiological system. The biological signal presented in this work, as a case study, is the PhotoPlethysmoGraphic (PPG) signal. We find that m is five for all the subjects analyzed and that t depends on the time interval in which it evaluates. The Henon map and the Lorenz flow are used to facilitate a more intuitive understanding of applied techniques.
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