A New Method to Estimate Additive Noise in Synchronized Oscillations

In this paper we introduced a method to estimate the additive noise in driving signals, this method is grounded on the average deviation rate of response system in a short period. We consider each noise point as a perturbation to initial condition of the chaotic system, and then estimate the evolution of perturbation by seeking the relations between average deviation rate lambda and time T. Lorenz model is presented as an example and we demonstrated that this method is effective on noise reduction.