基于FRFT的线性调频信号欠采样快速检测方法  

Fast Detection of LFM Signal Based on FRFT and Sub-Nyquist Sampling

作　　者：仇兆炀[1] 陈蓉[1,2] 汪一鸣[1,2] 

机构地区：[1]苏州大学电子信息学院,江苏苏州215006 [2]通信系统信息控制技术国家级重点实验室,浙江嘉兴314001

出　　处：《电子学报》2012年第11期2165-2170,共6页Acta Electronica Sinica

基　　金：国家自然科学基金(No.60872003;61071214);国防科技重点实验室基金(No.9140C1301031001);高等学校博士学科点专项科研基金(No.20093201110005)

摘　　要：采用分数阶Fourier变换对线性调频信号(Linear Frequency Modulation,LFM)进行检测与参数估计时,由于信号的特征未知,需要运用二维搜索方法确定分数阶Fourier变换的最佳旋转角度.该方法运算量巨大.为减少运算量,本文推导了欠采样前后LFM信号的分数阶Fourier变换最佳能量聚集旋转角度关系,证明了无噪LFM信号的调频率估计可以完全不受Nyquist采样定理的限制;通过推导分析欠采样含噪LFM信号在最佳分数阶Fourier域的信噪比,给出了欠采样倍数M对LFM信号检测的影响及其选取原则;最终提出一种基于欠采样理论的LFM信号快速检测方法.实验结果表明,当M选取合适时,利用原始信号的欠采样样本即可对LFM信号实现有效检测,快速确定其调频率.The relationship between the optimal rotation angle of fractional Fourier transform（FRFT）of the undersampled signal and that of the original signal was studied.It was proved that the chirp-rate of noiseless linear frequency modulation（LFM）signal can be estimated correctly even though the signal was undersampled.By deducing and analyzing the signal to noise ratio（SNR）in the optimal fractional Fourier domain,the impact of subsampling rate on detection of LFM signal was discussed.Finally,a novel method was proposed to realize fast detection of LFM signal.Simulation results show that when the subsampling rate is set properly,the detection and parameter estimation of LFM signal can be realized rapidly by applying FRFT to the undersampled signal.

关 键 词：欠采样 分数阶FOURIER变换 线性调频信号 最佳旋转角度 信噪比 

分 类 号：TP957.51[自动化与计算机技术]