Operation of the Hilbert-Huang Transform: basic overview with examples

Abstract

This learning object provides a simple explanation of the operation of the Hilbert-Huang transform. This is a tool which has been employed with success in the signal processing field and, more especifically, in the analysis of non-stationary signals. The work reviews the mathematical bases of the transform and it focuses on its operation. It describes its two main parts: Empirical Mode Decomposition algorithm and the Hilbert Spectral Analysis. Several simple examples illustrating the operation of the transform are also provided.