用于混沌信噪分离的Neymark分解法的适用性研究

从几何投影的角度阐述了Neymark分解的空间物理意义．并用能量分布的观点解释了该方法实现噪声抑制的内在机理，然后通过几个典型的混沌信号在不同类型的噪声背景下的处理结果，说明了Neymark分解法在实现混沌信号与噪声分离时的局限性．指出了该方法的噪声抑制效果与目标信号和背景噪声在嵌入相空间中能量分布状况之间的关系，最后在此基础上总结出了空间投影类方法实现信噪分离的适用范围，从而为今后选择合适的混沌信号处理方法提供了依据。

Research on Availability of Neymark Decomposition Applied to Separated Chaos Signal from Noise

From the view of geometrical projection, the physical significance of Neymark decomposition is described and its internal denoising mechanism is clarified by the standpoint of energy distribution. By dealing with some typical chaos signals in varied noise background, the limitation of using Neymark to reduce noise is explained and the relationship between the effectiveness of denoising by Neymark and energy distribution of target signal and background noise in embedded phase space is pointed out. Finally, based on the simulational result, the application scope of such kind of space projection method is summarized and a foundation of choosing appropriate method for processing chaos signal is provided.