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实际采集到的信号中常常含有与信号频谱相同的延时噪声分量,难以用常规的滤波方法剔除。针对延时噪声干扰的特点,依据分数阶傅里叶变换(FRFT)的时移特性和乘积变换延时特性,提出了一个信号与同频噪声分离的时滞模型,通过对含噪信号进行相应的分数阶傅里叶变换,在变换域上可不断加大信号与同频噪声的距离,距离的增加与迭代次数成正比,从而能较好地分离同频干扰。实验中,对分数阶傅里叶变换的分离效果进行了仿真演示。
The actual collected signal often contains the same delay noise component as the signal spectrum, which is difficult to eliminate with the conventional filtering method. According to the characteristics of delayed noise interference, a time-delay model is proposed based on the time-varying characteristics of Fractional Fourier Transform (FRFT) and the product transform delay characteristics. By separating the noisy signals, In the transform domain, the distance between the signal and the same frequency noise can be continuously increased. The increase of the distance is proportional to the number of iterations, so that the co-channel interference can be well separated. In the experiment, the separation effect of Fractional Fourier Transform was simulated.