Hilbert-Huang Transform: Comprehensive Source Code with Detailed Implementation

The following source code provides a comprehensive implementation of the Hilbert-Huang Transform (HHT), with detailed explanations for each processing stage to assist beginners in understanding this adaptive time-frequency analysis method. The code demonstrates key algorithmic components including empirical mode decomposition (EMD) for signal sifting and Hilbert spectral analysis for instantaneous frequency calculation. Each function is thoroughly documented with implementation approaches, such as the stopping criteria for intrinsic mode function extraction and the Hilbert transform application procedure. Additionally, users can reference related tutorials and sample codes to better understand and apply this transformation algorithm. For practical validation, we recommend running this source code on various datasets to explore and verify its performance characteristics and accuracy in different signal processing scenarios. These extended resources aim to provide a holistic learning experience for mastering the Hilbert-Huang Transform methodology.