MATLAB Implementation of Hilbert-Huang Transform with EMD, HHT, and Marginal Spectrum Analysis

This MATLAB program implements the Hilbert-Huang Transform (HHT) for advanced signal processing applications. The implementation includes core components such as Empirical Mode Decomposition (EMD) for signal decomposition into intrinsic mode functions (IMFs), Hilbert spectral analysis for time-frequency representation, and marginal spectrum calculation for frequency distribution analysis. The code provides multiple practical examples demonstrating various applications of HHT in signal processing and vibration analysis. Key implementation features include adaptive signal decomposition algorithms, Hilbert transform processing for instantaneous frequency calculation, and spectral analysis routines with proper boundary handling. Additional functionality includes comprehensive data visualization tools for plotting IMF components, Hilbert spectra, and marginal spectra. The program also incorporates result analysis capabilities for quantitative assessment of signal characteristics. The codebase contains detailed documentation and extensive comments throughout, enabling users to easily understand the implementation methodology and perform custom modifications for specific research requirements. The implementation utilizes MATLAB's signal processing toolbox for efficient computation and includes optimized algorithms for handling non-stationary signals. Overall, this represents a robust, user-friendly, and extensible MATLAB tool suitable for various signal processing tasks, particularly in vibration analysis, biomedical signal processing, and non-stationary signal characterization.