Retrieval of two-dimensional self-coupled harmonics in non-zero mean multiplicative noise

The problem of two dimensional nonlinear self coupled harmonics in multiplicative noise and additive noise is analyzed by two dimensional cyclic statistics. Two dimensional time average polyspectra and two dimensional scaled polyperiodograms are introduced to analyze kth order self coupled harmonics. Through the simulation examples of extracting the self coupling harmonics of quadratic and cubic self coupled harmonics, it shows that this algorithm is efficient in extracting self coupling harmonics of self coupled harmonics.