基于FRFT的非线性调频信号双特征检测方法

强噪声中的未知非线性调频信号检测一直是实际检测领域中的一个难点问题.非线性调频信号的相位历史是关于时间的未知平滑函数,并且该函数不能或者很难用少量参数来建模.由于相位模型的缺失,我们提出一种基于接连分数阶Fourier变换和双特征检测的非参数化检测方法.检测方案包含3部分:首先,计算一个周期内接连角度的分数阶Fourier变换,将这些不同角度的变换结果构造成二维图像;然后,利用硬阈值处理获得二值图像,并利用多重中值滤波来去除该二值图像中的孤立噪声点,从而获得精炼的二值图像;最后,根据精炼图像提取2个互补的检测统计量,并通过双特征检测器判决目标是否存在.本文针对3类不同阶的多项式相位信号以及正弦相位信号的对比实验结果表明,提出的方法是有效且鲁棒的,并且获得了满意的检测性能.

Double-characters detection of nonlinear frequency modulated signals based on FRFT

In many practical applications,signals to be detected are unknown nonlinear frequency modulated (FM) and are corrupted by strong noise.The phase histories of the nonlinear FM signals are assumed to be unknown smooth functions of time,which are usually poorly modeled or cannot be modeled at all by a small number of parameters.Because of the lack of phase model,a nonparametric detection method is proposed based on successive fractional Fourier transform and double-characters detection.The detection process go...