Trispectrum Mixed-Phase Wavelet Estimation

This article focuses on trispectrum mixed-phase wavelet estimation, a method commonly applied in geophysical exploration. I am sharing the MATLAB source code for this algorithm to assist geophysical researchers in their work. The implementation leverages three key toolboxes: hosa, hos_2, and S4M, which provide essential functions for higher-order statistical analysis and spectral computation. These toolboxes facilitate efficient calculation of fourth-order cumulants and trispectral analysis required for mixed-phase wavelet extraction. When applying this method, careful attention should be paid to parameter selection, particularly in determining optimal spectrum estimation windows and convergence thresholds. The code structure includes modules for data preprocessing, trispectrum calculation, and phase reconstruction algorithms. For comprehensive understanding, I recommend consulting relevant technical literature on higher-order statistics applications. This contribution aims to provide practical implementation insights and computational tools for geophysical professionals working with complex phase characteristics in seismic signal processing.