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.
