The Perfection of Wigner-Ville Distribution for Time-Frequency Analysis

This article presents an exceptional implementation of the Wigner-Ville Distribution for time-frequency analysis. The distribution serves as a perfect analytical tool that enables comprehensive characterization of signal properties and variations through joint time-frequency examination. The algorithm employs quadratic time-frequency representations to capture both temporal and spectral information simultaneously, utilizing kernel functions to minimize cross-term interference while maintaining high resolution. In practical applications, this distribution allows researchers to precisely analyze signal behaviors across different time instances and frequency components. The implementation includes advanced features such as window function optimization, cross-term reduction techniques, and adaptive parameter selection for various signal types. The code structure incorporates efficient computation methods using Fast Fourier Transforms (FFT) and handles both analytic signals and real-valued signals with proper pre-processing. If you are interested in advanced signal processing techniques, we invite you to download our optimized distribution implementation to gain deeper insights into the principles and application scenarios of time-frequency analysis. The package includes demonstration scripts showcasing applications in vibration analysis, biomedical signal processing, and communication system characterization.