基于FRFT的多LFM信号的分离及参数估计

线性调频（LFM）信号在某个阶次的FRFT域中具有能量聚集性,根据这一特性采用分数阶傅里叶变换（FRFT,Fractional Fourier Transform）来分离多个未知任何先验参数的LFM信号,通过在FRFT域搜索峰值点来检测并分离出LFM信号,并用相关系数对分离效果进行了评价。针对二维搜索峰值点的计算复杂性,提出了曲线拟合优化技术来进行FRFT模值检测,把二维搜索转化为一维曲线拟合问题,并介绍了高斯混合模型近似FRFT模值分布。计算机仿真表明,这一方法极大地降低了计算复杂度,对多分量LFM信号进行了有效的分离及参数估计。

Multi-LFM Signal Separation and Parameter Estimation based on FRFT

Taking advantage of the energy concentration property of LFM signal in the fractional Fourier transform domain,the multi-component LFM signal separation technology based on the fractional Fourier transform is proposed in this paper.It detects the LFM signal by searching the peak in FRFT domain and separates this signal from the domain quickly.The separation effect is evaluated by the correlation coefficient.For the complexity of the 2D peak searching algorithm,the curve-fitting optimization technique is als...