Detection of relevant information in intrinsic mode functions

Roberto Sebastián Hernández Santander, Esperanza Camargo Casallas
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Abstract

The empirical mode decomposition (EMD) decomposes a local and adaptive time series into a finite set of intrinsic mode functions (IMF), AM-FM signals that allow to represent a non-linear and non-stationary model with the advantage of not losing the underlying meaning. This study examines time series of sEMG measurements for a case study of healthy individuals with carpal tunnel syndrome. Due to the amount of multiple levels of detail, all around a central frequency and evoked by the number of IMFs obtained through EMD, the informational contribution of each at the intermodal and interindividual level is studied through Shannon entropy to establish a general framework of spectral study given Hilbert Huang's (HHT) transformation to remarkable degrees of information. The results show that the latest IMFs have more disordered states even when they engage in apparently regular behavior, agglomerate more time-frequency information, and in the same way, concentrate more differentiable characteristics for a process of individualization of patterns.
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内在模式函数中相关信息的检测
经验模态分解(EMD)将局部和自适应时间序列分解为一组有限的固有模态函数(IMF), AM-FM信号允许表示非线性和非平稳模型,具有不失去潜在意义的优势。本研究检查了腕管综合征健康个体的表面肌电信号测量时间序列。由于围绕中心频率和由EMD获得的imf数量引起的多个细节层次的数量,因此通过香农熵研究每个层次在多式联运和个体间水平上的信息贡献,以建立频谱研究的一般框架,并给出Hilbert Huang (HHT)变换的显著信息程度。结果表明,最新的国际货币基金组织在表现出明显的规则行为时,其无序状态也更多,聚集了更多的时频信息,同样地,集中了更多的可微分特征,形成了一个模式个性化的过程。
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