基于分数阶傅里叶变换的滤波

Filtering Based on Fractional Fourier Transform

分数阶傅里叶变换是一种较好的滤波处理工具。利用分数阶傅里叶变换进行滤波处理是基于时频平面旋转的信号滤波方法,即将信号在时频平面上旋转特定的角度,使得信号在新的时频平面上退化为单频正弦信号。基本思路是利用分数阶傅里叶变换对信号进行旋转分离,从而达到抑制噪声的目的。分离出的信号通过对时频平面的反向旋转,恢复出原信号。通过对算法的分析论证,分数阶傅里叶域滤波算法性能优于其他滤波算法。仿真结果表明,该方法不仅效果明显,而且信号失真小。和其它滤波算法相比,计算复杂度低更容易实现。

FRFT（Fractional Fourier Transform）is a good filtering processing tool.Using FRFT to process the signal is a signal filtering method that based on the time-frequency plane rotary.From the signal in the time-frequency plane rotation specific angle,the signal is made degradation in the new time-frequency planefor single frequencysine signal to do processing,making signal-noise separation.A reverse rotation recovers the singal without noise.Through the argumentation and the simulation results,this method not only has obvious offect but also is simple,and has small amount of calculation.Compared with other fiteringalgorithm,this algorithm has low computation and is easy to implement.