A 2D harmonic model based on the quaternion was constructed, and a special four-order cumulant was defined.The 2D cubic nonlinear phase coupling of additive color Gaussian noises was analyzed.

• 构造了合适的基于四元数的二维谐波模型，根据此模型定义了特殊的四阶累积量切片，分析了加性高斯在有色噪声中的二维三次非线性相位耦合。