FM^mlet变换在信号分离中的应用

APPLICATION OF FM^mlet TRANSFORM TO SIGNAL SEPARATION

具有非线性时频关系的多分量信号的频谱占有较宽的频带、并且各信号分量的频谱常常互相交叠,因之难以用常规的滤波方法将各信号分量分离,将信号与背景噪声分离亦非易事。由于FM^m let变换的原子能匹配信号的线性和非线性时变成分,因此本文提出采用FM^m let变换进行信号分离。实际算例结果印证了本文方法的有效性。

Since the rnulticomponent signal with nonlinear time-frequency structures occupies a wide frequency band, and the spectral contents of the signal components may alias, it is therefore difficult to separate the signal components and to separate the signal from background noise. In this paper, a new signal separation method using FMmlet transform is proposed taking the advantage that the atoms of FMmlet transform can match both the linear and nonlinear time-varying structures. Theoretical predictions and numerical experiments show the feasibility of the methodology advocated.