基于多均匀圆阵的中心对称平滑算法
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摘要
根据均匀圆阵的中心对称特性,通过对中心对称子阵接收数据的反相处理,提出了一种应用于二维相干信号测向的中心对称平滑算法.算法提高了阵元的复用率,降低了所需阵元数,理论上该算法适用任意子阵结构.一些具有中心对称性结构的特殊阵列,其内部能够构造出虚拟子阵,在该类阵列中应用文中算法可减少所需的物理子阵数量.以多均匀圆阵为例,给出了算法的分析过程与计算方法,仿真结果验证了算法的正确性.
According to central symmetry properties of uniform circular array,through phase reverse processing of received data from centrosymmetric sub-arrays,a central symmetry smoothing algorithm which is applied to 2 D direction-finding of coherent signals is proposed. The reuse rate of sensors is improved in this algorithm,and the number of sensors required is reduced. This method can be applied to all structure of sub-array in theory. Virtual sub-arrays can be constructed in some specific arrays with centrosymmetric structure. The requirement of physical sub-array number for smoothing can be reduced by applying the algorithm to this type of arrays. Considering the case of multi-UCA,the analysis process and the calculation method of this algorithm are presented. Correctness of the algorithm is verified by the simulation results.
According to central symmetry properties of uniform circular array,through phase reverse processing of received data from centrosymmetric sub-arrays,a central symmetry smoothing algorithm which is applied to 2 D direction-finding of coherent signals is proposed. The reuse rate of sensors is improved in this algorithm,and the number of sensors required is reduced. This method can be applied to all structure of sub-array in theory. Virtual sub-arrays can be constructed in some specific arrays with centrosymmetric structure. The requirement of physical sub-array number for smoothing can be reduced by applying the algorithm to this type of arrays. Considering the case of multi-UCA,the analysis process and the calculation method of this algorithm are presented. Correctness of the algorithm is verified by the simulation results.
引文
[1]闫锋刚,沈毅,刘帅,等.高效超分辨波达方向估计算法综述[J].系统工程与电子技术,2015,37(7):1465-1475.YAN Fenggang,SHEN Yi,LIU Shuai,et al. Overview of efficient algorithms for super-resolution DOA estimates[J]. Journal of Systems Engineering and Electronics,2015,37(7):1465-1475.(in Chinese)
[2]管振辉,张冰,王建华.电扫描恒差比幅测向体制侦察机天线方位图数据的自动定制[J].华东船舶工业学院学报(自然科学版),2001,15(1):15-18.GUAN Zhenhui,ZHANG Bing,WANG Jianhua. Automatic customization of antenna pattern data used in electic scanning constant difference amplitude comparison direction finding system[J]. Journal of East China Shipbuilding Institute(Natural Sciences),2001,15(1):15-18.(in Chinese)
[3] SHAN T J,WAX M,KAILATH T. On spatial smoothing for direction-of-arrival estimation of coherent signals[J]. IEEE Transactions on Acoustics Speech and Signal,1985,33(8):806-811.
[4] SCHMIDT R. Multiple emitter location and signal parameter estimation[J]. IEEE Transactions on Antennas and Propagation,1986,34(3):276-280. DOI:10. 1109/tap. 1986. 1143830.
[5]王建勋.基于均匀圆阵的解相干算法研究[D].哈尔滨:哈尔滨工业大学,2015.
[6] QIAN C,HUANG L,ZENG W J,et al. Direction-ofarrival estimation for coherent signals without knowledge of source number[J]. IEEE Sensors Journal,2014,14(9):3267-3273. DOI:10. 1109/jsen.2014. 2327633.
[7] REN S,MA X,YAN S,et al. 2-D unitary ESPRIT-like direction-of-arrival(DOA)estimation for coherent signals with a uniform rectangular array[J]. Sensors,2013,13(4):4272-4288. DOI:10.3390/s130404272.
[8]刘志刚,汪晋宽,王福利.虚拟空间平滑算法[J].电子学报,2007,35(9):1762-1765.LIU Zhigang,WANG Jinkuan,WANG Fuli. Virtual spatial smoothing algorithm[J]. ACTA Electronica Sinica,2007,35(9):1762-1765.(in Chinese)
[9] LOK A T Y,ALIYAZICIOGLU Z,HWANG H K.Multiple signal detection using the ESPRIT algorithm[J]. Lecture Notes in Engineering&Computer Science,2010,2184(1):1910-1914.
[10]毛维平,李国林,粘朋雷,等.双圆阵模式空间二维解相干[J].火力与指挥控制,2015,40(1):19-23.MAO Weiping,LI Guolin,NIAN Penglei,et al. Twodimensional de-coherent mode-space method based on UCA[J]. Fire Control&Command Control,2015,40(1):19-23.(in Chinese)
[11] PILLAI S U,KWON B H. Forward/backward spatial smoothing techniques for coherent signal identification[J]. IEEE Transactions on Acoustics Speech and Signal Processing,1989,37(1):8-15. DOI:10. 1109/29. 17496.
[12]谈文韬,林明,黎仁刚.奇偶阵元数均匀圆阵测向性能研究[J].现代雷达,2016,38(11):24-29.TAN Wentao,LIN Ming,LI Rengang. A study on the direction-finding performance of uniform circular array with odd and even numbered sensors[J]. Modern Radar,2016,38(11):24-29.(in Chinese)
[2]管振辉,张冰,王建华.电扫描恒差比幅测向体制侦察机天线方位图数据的自动定制[J].华东船舶工业学院学报(自然科学版),2001,15(1):15-18.GUAN Zhenhui,ZHANG Bing,WANG Jianhua. Automatic customization of antenna pattern data used in electic scanning constant difference amplitude comparison direction finding system[J]. Journal of East China Shipbuilding Institute(Natural Sciences),2001,15(1):15-18.(in Chinese)
[3] SHAN T J,WAX M,KAILATH T. On spatial smoothing for direction-of-arrival estimation of coherent signals[J]. IEEE Transactions on Acoustics Speech and Signal,1985,33(8):806-811.
[4] SCHMIDT R. Multiple emitter location and signal parameter estimation[J]. IEEE Transactions on Antennas and Propagation,1986,34(3):276-280. DOI:10. 1109/tap. 1986. 1143830.
[5]王建勋.基于均匀圆阵的解相干算法研究[D].哈尔滨:哈尔滨工业大学,2015.
[6] QIAN C,HUANG L,ZENG W J,et al. Direction-ofarrival estimation for coherent signals without knowledge of source number[J]. IEEE Sensors Journal,2014,14(9):3267-3273. DOI:10. 1109/jsen.2014. 2327633.
[7] REN S,MA X,YAN S,et al. 2-D unitary ESPRIT-like direction-of-arrival(DOA)estimation for coherent signals with a uniform rectangular array[J]. Sensors,2013,13(4):4272-4288. DOI:10.3390/s130404272.
[8]刘志刚,汪晋宽,王福利.虚拟空间平滑算法[J].电子学报,2007,35(9):1762-1765.LIU Zhigang,WANG Jinkuan,WANG Fuli. Virtual spatial smoothing algorithm[J]. ACTA Electronica Sinica,2007,35(9):1762-1765.(in Chinese)
[9] LOK A T Y,ALIYAZICIOGLU Z,HWANG H K.Multiple signal detection using the ESPRIT algorithm[J]. Lecture Notes in Engineering&Computer Science,2010,2184(1):1910-1914.
[10]毛维平,李国林,粘朋雷,等.双圆阵模式空间二维解相干[J].火力与指挥控制,2015,40(1):19-23.MAO Weiping,LI Guolin,NIAN Penglei,et al. Twodimensional de-coherent mode-space method based on UCA[J]. Fire Control&Command Control,2015,40(1):19-23.(in Chinese)
[11] PILLAI S U,KWON B H. Forward/backward spatial smoothing techniques for coherent signal identification[J]. IEEE Transactions on Acoustics Speech and Signal Processing,1989,37(1):8-15. DOI:10. 1109/29. 17496.
[12]谈文韬,林明,黎仁刚.奇偶阵元数均匀圆阵测向性能研究[J].现代雷达,2016,38(11):24-29.TAN Wentao,LIN Ming,LI Rengang. A study on the direction-finding performance of uniform circular array with odd and even numbered sensors[J]. Modern Radar,2016,38(11):24-29.(in Chinese)