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Three dimensional empirical mode decomposition analysis apparatus, method and article manufacture

机译:三维经验模式分解分析装置,方法和物品的制造

摘要

An apparatus and method of analysis for three-dimensional (3D) physical phenomena. The physical phenomena may include any varying 3D phenomena such as time varying polar ice flows. A repesentation of the 3D phenomena is passed through a Hilbert transform to convert the data into complex form. A spatial variable is separated from the complex representation by producing a time based covariance matrix. The temporal parts of the principal components are produced by applying Singular Value Decomposition (SVD). Based on the rapidity with which the eigenvalues decay, the first 3-10 complex principal components (CPC) are selected for Empirical Mode Decomposition into intrinsic modes. The intrinsic modes produced are filtered in order to reconstruct the spatial part of the CPC. Finally, a filtered time series may be reconstructed from the first 3-10 filtered complex principal components.
机译:分析三维(3D)物理现象的设备和方法。物理现象可以包括任何变化的3D现象,例如随时间变化的极地冰流。通过Hilbert变换传递3D现象的代表,以将数据转换为复杂形式。通过生成基于时间的协方差矩阵,将空间变量与复杂表示分离。主成分的时间部分是通过应用奇异值分解(SVD)产生的。根据特征值衰减的速度,选择前3-10个复杂主成分(CPC)进行经验模式分解为固有模式。对产生的固有模式进行滤波,以重构CPC的空间部分。最后,可以从前3-10个滤波后的复杂主成分中重建滤波后的时间序列。

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