Source Code for Comparing Marginal Spectrum with FFT in HHT Transformation

This text presents source code designed for comparing marginal spectrum with Fast Fourier Transform (FFT) in the context of Hilbert-Huang Transform (HHT). Through personal testing and validation, the generated graphical outputs substantially meet required specifications. The code implementation features core HHT processing stages including empirical mode decomposition for extracting intrinsic mode functions (IMFs), Hilbert spectral analysis for instantaneous frequency calculation, and comparative spectral visualization techniques. For researchers interested in time-frequency analysis, this code provides valuable insights into the relationship between marginal spectrum (derived from HHT) and conventional FFT-based power spectral density. The implementation demonstrates practical signal processing workflows and can serve as a reference for academic projects or engineering applications involving non-stationary signal analysis. Key algorithmic components include: - EMD implementation for adaptive signal decomposition - Hilbert transform processing for instantaneous parameter extraction - Marginal spectrum computation through IMF integration - Side-by-side spectral comparison visualization We hope this resource proves beneficial for your signal processing research and development endeavors.