Two-dimensional harmonics retrieval in correlative multiplication and additive noise

The problem of two-dimensional (2-D) harmonics retrieval in correlative zero-mean multiplicative and additive noise is presented. First, we defined the cross-mixing of 2-D stochastic process, which can depict the correlative relationship of the multiplicative and additive noise. Second, a special 2-D fourth-order time-average moment spectrum is defined to estimate frequency of harmonics. This method needn´t constrain the distribution and the color of noise. The effectiveness of our methods is demonstrated through some simulation examples.