降噪稀疏阵列的多信号接收功率-波达方向联合估计  

Joint estimation of multi-signal signal receive power-direction of arrival using denoised sparse array

作　　者：王纯[1] 高于晰 WANG Chun;GAO Yu-xi(College oflnformation and Control Engineering,Xi'an University of Architecture and Technology,Xi'an 710055,China)

机构地区：[1]西安建筑科技大学信息与控制工程学院,西安710055

出　　处：《吉林大学学报（工学版）》2022年第5期1137-1144,共8页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(61803294)。

摘　　要：针对由于电磁环境日益复杂且受阵列阵元数目的限制,致使基于均匀放置的阵列构型无法满足多信号参数联合估计对自由度需求的问题,提出了一种采用降噪稀疏阵列的多信号入射功率-波达方向(DOA)联合估计方法。首先,利用Khatri-Rao积的性质将稀疏Nested阵列扩展为虚拟均匀线阵,从而获得超自由度;其次,根据Vandermonde矩阵结构选取对应虚拟阵元的接收数据进行Toeplitz矩阵重构,得到虚拟阵列的伪协方差矩阵,并对其进行降噪处理,降低噪声对功率估计的影响;最后,结合信号空域功率谱与信号子空间和噪声子空间的正交性实现多信号入射功率-DOA的联合估计。实验结果表明:使用该方法能超自由度地实现多个信号的入射功率和DOA的联合估计,且在低快拍和低信噪比条件下仍有较好的性能。Due to the increasing complexity of the electromagnetic environment and the limitation of the number of array elements,the array configuration based on uniform placement can not meet the requirements of joint estimation of multi signal parameters.To solve the above problems,a joint estimation method of multi-signal incident power and direction of arrival(DOA)using denoised sparse array is proposed.Firstly,sparse nested array is extended to virtual uniform linear array by using the property of Khatri-Rao product to obtain super degree of freedom;secondly,according to the Vandermonde matrix structure,the received data of the corresponding virtual array element is selected to reconstruct the Toeplitz matrix to obtain the pseudo covariance matrix of the virtual array,and the noise is reduced to reduce the impact of noise on power estimation;finally,combined signal spatial power spectrum with the orthogonality of signal subspace and noise subspace realizes the joint estimation of multiple receive signal power-DOA.The experimental results show that the proposed method can realize the joint estimation of the incident power and DOA of multiple signals with super degree of freedom,and has good performance under the conditions of low snapshot and low signal-to-noise ratio.

关 键 词：参数联合估计 Nested阵列 Toeplitz矩阵重构 入射功率 波达方向估计 

分 类 号：TN911.7[电子电信—通信与信息系统]