Time-Frequency Analysis using Four-Component Gaussian Envelope Signals

Resource Overview

Utilizing four-component Gaussian envelope signals for time-frequency analysis, comparing resolution and cross-term interference among STFT, WVD, and CWD methods. Includes simulation code and MATLAB time-frequency analysis toolbox with implementation notes. Toolbox usage recommendations reference "MATLAB Time-Frequency Analysis Technology and Its Applications - Ge Zhexue", with the book's source code included in the package for practical integration.

Detailed Documentation

This project demonstrates time-frequency analysis using four-component Gaussian envelope signals to compare the resolution and cross-term interference characteristics of Short-Time Fourier Transform (STFT), Wigner-Ville Distribution (WVD), and Choi-Williams Distribution (CWD). The implementation includes complete simulation code with MATLAB's time-frequency analysis toolbox integration. Key algorithms feature Gaussian windowing functions for component separation and Cohen's class distribution parameters for optimal time-frequency localization. For toolbox implementation guidance, consult "MATLAB Time-Frequency Analysis Technology and Its Applications - Ge Zhexue". The accompanying source code from this reference book is included in the compressed package, providing ready-to-use functions for signal generation, kernel optimization, and visualization of time-frequency representations.