Complete Process of Empirical Mode Decomposition (EMD) with Hilbert Spectrum and Marginal Spectrum Analysis

This documentation presents a complete workflow for Empirical Mode Decomposition (EMD) implementation, incorporating both Hilbert spectrum analysis and marginal spectrum computation. The MATLAB source code can be directly copied and executed without modifications, providing immediate functionality. The implementation comprehensively covers all essential algorithmic steps, including: signal preprocessing, iterative sifting process for Intrinsic Mode Functions (IMFs) extraction, Hilbert transform application for instantaneous frequency calculation, and spectral density estimation for margin spectrum generation. Key functions implemented include boundary condition handling, extremum point detection, envelope fitting using cubic spline interpolation, and stopping criterion evaluation for optimal IMF extraction. The code structure ensures proper handling of signal residues and provides visualization capabilities for both temporal and frequency-domain analysis results.