Signal recovery method based on co-prime array

作     者：Shuang Qiu Weixing Sheng Xiaofeng Ma Yubing Han Renli Zhang 

作者机构：School of Electronic and Optical EngineeringNanjing University of Science and TechnologyNanjing 210094China 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2017年第28卷第2期

页      面：224-234页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 

基　　金：supported by the National Natural Science Foundation of China(11273017 61401207 61471196 61501240) the College Graduate Scientific Research Innovation Fund in Jiangsu Province of China(KYLX16_0447) 

主　　题：Compressed sensing Maximum likelihood Maximum likelihood estimation Recovery Signal reconstruction Signal to noise ratio 

摘      要：A signal waveform recovery method based on the co-prime array is investigated to extract the waveform of the desired signal from spatial interferences in narrowband scenarios. The direction of arrivals (DOAs) of the desired signal and interference signals are estimated with the compressive sensing approach based on angle grids, and the signal power together with the noise power are estimated. Thereafter, a modified steepest descent (SD) method is derived to recover the waveform of the desired signal and interferences utilizing the estimated power and directions. The recovered waveform of the desired signal is the output of the proposed method. The situation in which the signals are not on the predefined angle grids is also considered. The DOAs estimated via the predefined angle grids are corrected based on the maximum likelihood (ML) angle estimation. Compared to the existing beamforming methods on co-prime array, the proposed method can obtain the waveform of the desired signal. Simulation results demonstrate that the proposed method can achieve good performance in signal waveform recovery and output signal to noise ratio. © 2017 Beijing Institute of Aerospace Information.