Two dimensional cubic nonlinear coupling estimation in zero mean independent multiplicative noise

The statistics of the multiplicative and additive noise included in the sampled data is changed with squaring the sampled data. Cubic nonlinear coupling problem in zero mean independent noise is studied using a special fourth-order time-average moment spectrum. The theory analysis and the proof for the method are developed at details. Because the method may well applied to the situation where the mean of the noise is nonzero, so the method used in does not need any constrain on the mean, distribution, and the color of the noise. The simulation results illustrate the effectiveness and correctness of the proposed method.