Cubic nonlinear coupling estimation using cyclic statistics in correlative multiplicative noise

The problem of concern here is parameter estimation of harmonics in the presence of cubic nonlinear coupling. Cyclic statistics are employed to estimate the frequencies of harmonics in mutually correlative multiplicative noise of any mean, which is independent of additive noise of any mean. We define a special slice of the sixth-order time-average moment spectrum. It can be applied to obtain the coupled and coupling frequencies. This method needn´t constrain the distribution and color of noise. Simulation examples illustrate the algorithms.