A Method of Evaluating the Signal to Noise Ratio Based on Duffing Time Series

In order to evaluate the signal to noise ratio quickly in the Duffing time series which contains noise, reconstructed phase space, which is based on Duffing time series, is adopted to overcome the difficulty. Calculate the statistics which is got from, then study the relationship between and, at last find a kind of effective evaluated method. Through the data imitation, the result is that average divergence distance attenuates with signal to noise ratio in the style of exponent. Through the simulation verification, proportional error of the evaluated SNR is no more than 1%. It is very important to detect weak signal in the field of signal disposal.