| The Empirical Mode Decomposition method is a process for real signals which produces Intrinsic Mode Functions from which an energy-frequency representation of the signal may be obtained by simple application of the Hilbert transform. The beauty of this method to generate monocomponents from redundant representations is in its simplicity and effectiveness.; In order to understand this process and to lay the foundation for developing an approximation theoretic framework for the redundant representations that arise, it is necessary to better understand the basic elemental components, that is the Intrinsic Mode Functions, in which the representations are expressed.; The present work provides an characterization of the Intrinsic Mode components and energy-frequency decompositions based on that characterization. Properties related to the instantaneous frequency and the instantaneous bandwidth of the new polar representations are also studied, as well as the polar representation produced by the Hilbert transform. |
