Hilbert-Huang Transform: Complete Source Code and Implementation Guide

In this article, we provide the complete source code for implementing the Hilbert-Huang Transform (HHT). This comprehensive code package will help you better understand and apply the HHT algorithm in practical applications. We break down each computational step with detailed explanations and corresponding code examples, including: - Empirical Mode Decomposition (EMD) implementation for signal decomposition into intrinsic mode functions (IMFs) - Hilbert spectral analysis algorithm for instantaneous frequency calculation - Boundary handling techniques and stopping criteria for EMD iterations - Signal reconstruction and residual analysis methods The code demonstrates key functions for signal processing, including: • IMF extraction using sifting process with cubic spline interpolation • Hilbert transform application using FFT-based computational methods • Instantaneous frequency and amplitude calculation through analytic signal construction By utilizing this source code, you'll be able to implement the complete Hilbert-Huang Transform pipeline and leverage its powerful time-frequency analysis capabilities in your projects. The implementation includes robust error handling and parameter optimization for various signal types. We hope this resource proves valuable for your signal processing and data analysis applications!