提出了一种基于多尺度线调频基信号稀疏分解的多分量多项式相位信号分离和瞬时频率估计方法.该方法采用多尺度的线调频基函数对多分量多项式相位信号进行投影分解,通过从不同的时间支撑区内投影系数最大的基函数中寻找出使分解信号能量最大的基元函数组合,逐次获得信号包含的能量最大的多项式相位信号分量,从而实现多分量多项式相位信号的分离,而从基元函数连接形成的频率曲线则可获得多项式相位信号分量瞬时频率的估计.仿真信号分析表明,本文方法能在信噪比较低情况下有效分离多分量多项式相位信号中包含的多项式相位信号分量,准确地估计其瞬时频率.
An approach based on multi-scale chirplet sparse signal decomposition is proposed to separate the multicomponent polynomial phase signals,and estimate the instantaneous frequency of polynomial phase signal component.This method projects the multicomponent polynomial phase signals onto the multi-scale chirplet base functions.Through the different support regions of time in which the projection coefficient is the largest,this method can separate the polynomial phase signal component with the largest energy from the multicomponent polynomial phase signals.The frequency curve which connects the basic functions is the estimation of instantaneous frequency of the separated polynomial phase signal component.Simulation example show that this method can separate the components of the Multicomponent Polynomial phase signals in Low Signal-to-Noise Ratio Condition effectively,and estimate the instantaneous frequency accurately.