Complete MATLAB Implementation of Hilbert-Huang Transform (HHT)

In this article, I present a comprehensive MATLAB implementation of the Hilbert-Huang Transform (HHT), a powerful tool for analyzing nonlinear and non-stationary signals. The HHT combines concepts from the Hilbert transform and Empirical Mode Decomposition (EMD) to reveal time-frequency characteristics and local oscillation patterns within signals. Our MATLAB program implements the complete HHT workflow including signal preprocessing, EMD decomposition to extract Intrinsic Mode Functions (IMFs), and Hilbert spectral analysis. The code features optimized algorithms for sifting processes, instantaneous frequency calculation, and energy distribution visualization. This carefully designed and validated implementation ensures accuracy and reliability in signal analysis. Researchers can easily modify and customize the program to suit specific research needs or application domains. The implementation includes key functions for boundary handling, stopping criteria optimization, and spectral resolution adjustment. We hope this program enhances your understanding and analysis of signal data through robust HHT processing!