非高斯有色噪声背景下二维谐波频率估计的累积量投影方法

针对非高斯有色噪声中的二维谐波频率估计问题，该文提出了复数线性非高斯过程的二维累积量投影定理。应用该定理并巧妙地构造观测信号的高阶累积量求得非高斯噪声的自相关，并通过求解一个广义特征值对噪声空间进行预白化，然后结合高分辨率的子空间方法二维MUSIC估计得到二维谐波参量。该文方法解决了非高斯有色噪声中的二维谐波频率估计问题，特别地当非高斯噪声为对称分布和谐波信号中存在二次相位耦合时该文方法同样有效。仿真实验验证了该文结论。

Cumulant Projection Method for Two-Dimentional Harmonics Frequency Estimation in Colored Non-Gaussian Noise

The problem of concern here was the two-dimensional (2-D) harmonic frequency estimation in colored non-Gaussian noise.The 2-D cumulant projection theorem of complex linear non-Ganssian process was presented. The noise auto-correlation estimation was obtained based on this theorem by skillfully constructing a high-order cumulant of the complex noisy harmonic.Then a generalized eigen-value problem was solved to prewhiten the noise space.Finally 2-D MUSIC was employed to retrieve the 2-D harmonic frequencies.This method can effectively extract frequencies from colored non-Gaussian noise,even though the noise is symmetrically-distributed or there exists quadratic phase coupling.Theory and algorithm are illustrated by simulation examples.