非线性相位耦合的切片谱分析方法

The Slice Spectra Approach to Nonlinear Phase Coupling Analysis

本文提出利用维谱方法对二次相位耦合进行分析，该方法同原有双诸方法相比具有计算量小，执行简便，易于获得较高的分辨率等优点;本文还将二次相位耦合的研究拓广到复数域，根据累积量的不同定义方式得到了不同的结果，最后本文定义了维谱，对另外一种重要的非线性相位耦合──三次相位耦合进行了分析，取得了良好的效果仿真实验验证了文中结论。

Based on the proposal of spectrum approach to quadratic phase coupling analysis,the comparison is made between this new method and the bispectrum method. The spectrum method has much ies calculation burden and is apt to achieve higher resolution ability as well as can be easily performed.Then the analysis of quadratic phase coupling is extended to complex domain, different and interesting results are obtained. At last spectrum method is developed to deal with another kind of nonlinear phase coupling, cubic phase coupling, fine results are obtained. Simulation examples are presented to prove the results of this paper.