Cubic nonlinear coupling estimation in correlative multiplicative noise

Abstract

A special four-order time-average moment spectrum approach is proposed for estimating cubic nonlinear coupling. It can be applied to obtain the coupled and coupling frequencies in the noise that any mean multiplicative and additive noises are mutually independent, the multiplicative noises are correlative. In the meantime, this method needn't constrain the distribution and the color noises. Simulation examples illustrate the algorithms.