Two-dimensional harmonics retrieval in correlative multiplication and additive noise

Abstract

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.