Analysis of the Intrinsic Mode Functions

The Empirical Mode Decomposition is a process for signals which produces Intrinsic Mode Functions from which instantaneous frequencies may be extracted by simple application of the Hilbert transform. The beauty of this method to generate redundant representations is in its simplicity and its effectiveness. Our study has two objectives first, to provide an alternate characterization of the Intrinsic Mode components into which the signal is decomposed and second, to better understand the resulting polar representations, specifically the ones which are produced by the Hilbert transform of these intrinsic modes.