Hilbert-Huang Transform Source Code Implementation

This documentation provides the complete source code implementation of the Hilbert-Huang Transform (HHT). The program offers robust signal analysis and processing capabilities through two key algorithmic components: Empirical Mode Decomposition (EMD) for signal decomposition into Intrinsic Mode Functions (IMFs), and Hilbert spectral analysis for time-frequency characterization. The code architecture includes core functions for handling non-stationary and nonlinear signals, implementing the sifting process to extract meaningful IMFs, and calculating instantaneous frequency spectra. Users can leverage this implementation to transform raw signals into time-frequency representations, enabling detailed investigation of signal characteristics and patterns through customizable parameter settings. The modular design allows for straightforward modifications and extensions to accommodate specific application requirements. Key functions include boundary condition handling, stopping criteria configuration for the sifting process, and Hilbert spectrum visualization. This implementation serves as a valuable resource for researchers and engineers working on advanced signal processing projects, providing both practical tools and conceptual insights for exploring complex signal behaviors. Enhancements can be easily integrated through additional signal preprocessing modules, alternative decomposition algorithms like Ensemble EMD, or customized spectral analysis methods to suit specialized research needs.