时-空欠采样下多个信号的频率和DOA联合估计  

Joint estimation of frequency and DOA of multiple signals with spatiotemporal undersampling

作　　者：郜丽鹏[1] 李佳林 GAO Lipeng;LI Jialin(College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学信息与通信工程学院,黑龙江哈尔滨150001

出　　处：《应用科技》2019年第3期25-32,共8页Applied Science and Technology

基　　金：总装预研重点基金项目(61404150101);上海航天科技创新基金项目(SAST2017-068)

摘　　要：针对时-空欠采样条件下多个入射信号的频率和波达方向(DOA)联合估计问题,提出了基于中国余数定理(CRT)的估计算法。利用稀疏分布的非均匀线阵对同时到达的多个入射信号进行多路的并行欠采样,借助AM估计器的谱校正,得到精确的谱峰位置余数和相位差余数。通过改进的重构多个整数的中国余数定理得到频率的估计值,并且根据该频率估计值和频率估计过程中的谱峰位置余数对多个信号和多组相位差余数进行配对,再通过闭式中国余数定理解决相位模糊问题,完成DOA估计。仿真结果验证了该算法的顽健性和高精度,并且阵列一次并行欠采样的样本同时为频率和DOA估计所用,算法耗时短,表明了其实际工程应用前景。Aiming at the joint estimation of frequency and direction of arrival(DOA)of multiple incident signals under spatio-temporal undersampling condition,this paper proposes an estimation algorithm based on Chinese remainder theorem(CRT).Firstly,multi-path parallel undersampling is performed on multiple incident signals arriving at the same time by sparsely distributed non-uniform linear array.By means of spectrum correction of AM estimator,accurate spectral peak position remainder and phase difference remainder are obtained,and by the improved Chinese remainder theorem of the reconstructed multiple integers an estimate of frequency is obtained.And according to the frequency estimation value and the spectral peak position remainder in the process of frequency estimation,multiple signals and multiple sets of phase difference residues are paired,and then the phase ambiguity problem is solved by the closed Chinese remainder theorem,and thereby DOA estimation is completed.The simulation results verify the robustness and high precision of the algorithm,and the samples of one parallel under-sampling are used for both frequency and DOA estimation.The algorithm takes less time,which indicates its practical engineering application prospects.

关 键 词：多信号 欠采样 中国余数定理 频率估计 波达方向 参数配对 相位模糊 联合估计 

分 类 号：TN911.7[电子电信—通信与信息系统]