MATLAB Implementation of Bispectral Analysis with Order Determination

When performing bispectral analysis in MATLAB, in addition to using higher-order cumulants for order determination, one can implement the maximum adjacent singular value difference method for robust order selection. The algorithm involves computing the singular value decomposition of the covariance matrix and identifying the optimal order where the difference between consecutive singular values reaches its maximum. For comprehensive result visualization, the implementation should generate multiple graphical representations including contour plots to display amplitude distributions, bispectral plots for frequency domain analysis, phase diagrams to show phase relationships, and slice plots for detailed cross-sectional views. These visualizations utilize MATLAB's plotting functions such as contour, surf, and plot3, and are essential for deeper understanding of the analysis results' characteristics and implications. The code typically involves signal preprocessing, cumulant calculation, FFT operations, and customized plotting routines with proper axis labeling and colormap selection for enhanced clarity.