M-File for Computing 3D HHT Time-Frequency Spectrogram

The latest version of the M-file for computing three-dimensional HHT time-frequency spectrograms provides significant analytical value for signal processing applications. This implementation utilizes the Empirical Mode Decomposition (EMD) algorithm to decompose signals into intrinsic mode functions (IMFs), followed by the Hilbert transform to generate precise time-frequency distributions. The code features adaptable parameter configurations, allowing users to customize frequency resolution through adjustable sampling rates and modify window sizes for optimal time-frequency localization. Key functions include automated IMF extraction, instantaneous frequency calculation, and 3D visualization routines using MATLAB's surface plotting capabilities. Engineered with modular architecture, the script supports batch processing of multiple signals and includes error handling for edge cases. Researchers in fields such as vibration analysis, seismic signal processing, and biomedical engineering can leverage this tool to extract meaningful patterns from non-stationary data, with particular utility for analyzing nonlinear and non-stationary signals where traditional Fourier-based methods prove inadequate. The implementation includes performance optimizations for large datasets and provides commented code sections explaining the mathematical basis of each processing stage, ensuring both practical usability and educational value.