Hilbert-Huang Transform Code Implementation

This implementation provides detailed functionality for applying the Hilbert-Huang Transform (HHT) to analyze non-stationary signals. The HHT is a powerful mathematical tool that decomposes signals into intrinsic mode functions (IMFs) through the Empirical Mode Decomposition (EMD) algorithm, followed by Hilbert spectral analysis. The code enables extraction of frequency components and provides comprehensive amplitude and phase information for each frequency constituent. Through proper implementation of the sifting process and instantaneous frequency calculation, researchers can gain deeper insights into non-stationary signal characteristics. The transform finds applications across multiple domains including engineering signal processing for vibration analysis and fault detection, as well as financial market analysis for trend identification and volatility assessment. The MATLAB/Python implementation includes functions for boundary handling, IMF criteria validation, and Hilbert spectrum visualization, making it suitable for both academic research and industrial applications.