一种定量估计混沌信号中信噪比的方法

A Method for Estimate the Signal to Noise Ratio (SNR) of Chaotic Signals

通过对混沌信号的相空间重构分析，建立了一个与信噪比极其相关的统计量：用信号标准差标准化后的重构吸引子中轨迹的平均分离距离．仿真试验结果显示，对较短的混沌时间序列，该统计量可以被用作定量估计被噪声污染的混沌信号的信噪比的一个工具。

This paper established a statistic which is colsely related to the signal to noise ratio (SNR) of chaot ic signals: The average divergence distance (ADD) of the trajectories of a reconstructed attractor that is normalized by the variance of the signal. the simulation results show that this statistic can be used as a tool to quantitatively estimate the SNR of the noise corupted chaotic signal, even when it is short.