MATLAB Implementation of Bispectrum Diagonal Slice for 1½-Dimensional Signal Extraction

Bispectrum diagonal slice is a method used for extracting 1½-dimensional signals. This technique enables better understanding of signal properties and characteristics by analyzing higher-order statistical moments. The bispectrum diagonal slice has broad application areas including signal processing, communication systems, radar technology, and various other fields. Through bispectrum diagonal slice analysis of signals, we can obtain more comprehensive signal information, thereby facilitating improved research and practical applications.

MATLAB implementation typically involves calculating the third-order cumulant of the signal followed by two-dimensional Fourier transformation. Key functions include bispecd for bispectrum estimation and diagonal slice extraction algorithms that reduce computational complexity while preserving phase coupling information. The implementation handles complex-valued signals and provides options for different windowing functions to control spectral leakage. This approach is particularly valuable for analyzing non-Gaussian and non-linear signals where traditional power spectrum analysis may be insufficient.

Therefore, bispectrum diagonal slice represents a crucial signal processing method with significant importance for extracting 1½-dimensional signals, especially in applications requiring higher-order statistical analysis and phase information preservation.