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基于两层压缩感知的频率-角度联合估计方法
魏爽1,2, 陶春贵2, 李莉1, 蒋德富2
1.上海师范大学 信息与机电工程学院, 上海 200234;2.河海大学 计算机与信息学院, 南京 211100
摘要:
介绍了一种基于两层压缩感知的频率/角度联合估计方法,第一层压缩感知算法采用单快拍模型求解方向波数,第二层压缩感知算法利用方向波数形成的参数逆矩阵求解频率参数,以此求得角度.为验证所提方法的性能,利用3路不同频率和角度的信号分别在不同信噪比(SNR)、快拍条件下对信源频率/角度进行估计.仿真实验结果表明:该方法在少快拍条件下可对信源的频率和角度进行精确估计.
关键词:  两层压缩感知  频率估计  角度估计  方向波数  信源定位
DOI:10.3969/J.ISSN.1000-5137.2018.02.007
分类号:TN911
基金项目:国家自然科学基金(61401145);江苏省自然科学基金(BK20140858)
Frequency and DOA joint estimation method based on two-layer compressed sensing
Wei Shuang1,2, Tao Chungui2, Li Li1, Jiang Defu2
1.The College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China;2.College of Computer and Information, Hohai University, Nanjing 211100, China
Abstract:
A frequency and angle joint estimation method based on two-layer compressed sensing is introduced.The first layer uses single snapshot model to solve the direction wave number,and the second layer uses the inverse of the parameter matrix to solve the frequencies,so as to obtain angel parameters.In order to verify the performance of the proposed method,signals of three different frequencies and angles were used to estimate the source frequency/angle under different singal noise ratio (SNR) and snapshot conditions.Experiments results show that in the condition of few snapshots,the proposed method can obtain the accurate estimation of the source frequency and angle.
Key words:  two-layers compressed sensing  frequency estimation  angel estimation  directional wave number  source location