HHT (Hilbert-Huang Transform)

This document provides a comprehensive explanation of the Empirical Mode Decomposition (EMD) method, which enables analysis and visualization of discrete signals. The implementation involves decomposing signals into Intrinsic Mode Functions (IMFs) through a sifting process that iteratively extracts oscillatory components. Subsequently, Fourier Transform (FFT) algorithms are applied to each IMF for frequency-domain analysis, while the Hilbert transform generates instantaneous frequency data for time-frequency representation. Key computational steps include: 1) Signal preprocessing and boundary handling, 2) Iterative sifting with stopping criteria, 3) IMF validation checks, and 4) Hilbert spectral computation. These analytical techniques facilitate deeper understanding of signal characteristics and behavioral patterns, enabling comparative studies with other datasets to track signal variations and trends. Consequently, EMD-based analysis finds extensive applications across disciplines including electronic engineering, signal processing, and biomedical research.