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

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.