Theoretical analysis and comparison of the Hilbert transform decomposition methods

This article considers the empirical mode decomposition pioneered by Huang together with the Hilbert vibration decomposition method. Both methods are intended for extracting simple components using the varying instantaneous frequency and amplitude from multicomponent non-stationary signals. The common properties of and the differences between the two methods are taken into account. (c) 2007 Elsevier Ltd. All rights reserved.