Wigner-Ville Distribution Function for Time-Frequency Analysis

The Wigner-Ville Distribution function is a widely used method in time-frequency analysis that provides high-resolution time-frequency information and enables instantaneous frequency analysis of signals. This method finds extensive applications in acoustics, biomedical engineering, and communication systems. Implementation typically involves computing the Fourier transform of the signal's autocorrelation function, where key computational steps include signal windowing, cross-term suppression techniques, and proper normalization. The Wigner-Ville distribution helps researchers better understand signal characteristics and extract useful information from complex datasets. Furthermore, this method can be integrated with other signal processing techniques, such as wavelet transforms or empirical mode decomposition, to enhance the accuracy and reliability of time-frequency analysis results. Code implementation often requires careful handling of cross-term artifacts through methods like Choi-Williams distribution or smoothed pseudo-Wigner-Ville distribution to improve practical usability.