Cubic Nonlinear Phase Coupling Analyse of Two-Dimensional Harmonic Base on Quaternion

Aimed at the need of frequency pairing for complex model, this paper defines four-order cumulant of two dimensional harmonic model based on quaternion and analyzes two-dimensional cubic nonlinear phase coupling. Meanwhile, the paper advances the corresponding estimation arithmetic of the coupling and coupled frequency pairs in quaternion domain. The method avoids the possible false frequency pairing and imbalance of two dimensional frequency estimation precision during the process of frequency pairing with complex model. Experiments show that our method is effective