论文部分内容阅读
为了得到在物理上有意义的瞬时频率 ,必须把基于信号全局性的限制条件修改为局部的限制条件 ,并且把这些条件转换成物理上可实现的步骤。首先讨论了用希尔伯特变换定义的瞬时频率的定义 ,然后介绍了一种新的瞬时频率估计方法。该方法利用局域波分解方法 ,把复杂的信号分解成有限个基本模式分量 ,从而使由希尔伯特变换定义的瞬时频率具有实际物理意义。由于该方法是基于信号局部特征的 ,因此适用于非线性、非平稳信号的处理。最后指出了这一方法研究的有关问题。
In order to obtain physically meaningful instantaneous frequencies, it is necessary to modify the global constraints based on the signal to local constraints and translate these conditions into physically achievable steps. Firstly, the definition of instantaneous frequency defined by Hilbert transform is discussed, and then a new method of instantaneous frequency estimation is introduced. The method decomposes the complex signal into a few basic mode components by using the method of local wave decomposition, so that the instantaneous frequency defined by the Hilbert transform has practical physical meaning. Because this method is based on the local characteristics of the signal, it is suitable for the processing of nonlinear and non-stationary signals. Finally, the author points out the related problems of this method research.