Solution to the Mode Mixing Problem in Two Harmonic Signals: Empirical Wavelet Transform

Abstract

Empirical Wavelet Transform and Empirical Mode Decomposition are two powerful adaptive signal decomposition techniques. Although widely used, EMD method has some limitations in decomposing signals where amplitudefrequency ranges are too close to each other. The aim of present paper is to review existing knowledge base for mode mix problem of two harmonics decomposition and introduce its solution using EWT for this topic. In this paper, the EWT decomposition is compared with the conventional EMD by numerical examples and the results of EWT decomposition are compared to original signal parameters such as energy, phase and amplitude. Finally, it is concluded from the parameters that EWT efficiently detects the components of the signals where EMD suffers mode mixing.