Obtaining Time-Frequency Spectrum and Marginal Spectrum Using Hilbert-Huang Transform (HHT)

This article demonstrates how to apply the Hilbert-Huang Transform (HHT) to extract time-frequency spectrum and marginal spectrum from signals. This advanced signal processing technique enables deeper understanding of signal characteristics and dynamic behaviors. We will comprehensively cover the fundamental principles of HHT along with core implementation code that includes key functions for Empirical Mode Decomposition (EMD) and Hilbert spectral analysis. The implementation showcases practical examples with detailed screenshot analysis to illustrate real-world applications. Additionally, we examine HHT's advantages and limitations, along with important considerations for effective signal analysis using this method. The code implementation features adaptive signal decomposition algorithms and instantaneous frequency calculation methods, providing robust tools for non-stationary signal processing. This resource aims to enhance your practical skills and theoretical understanding in modern signal analysis techniques.