基于三维交叉阵的相干分布式信号源DOA估计
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摘要
研究了相干分布式信号源的二维中心波达方向估计(Direction of arrival,DOA)。利用三维交叉阵的对称特性,用求根的方法和广义ESPRIT算法分别估计出相干分布式信号源的中心俯仰角和中心方位角。所提算法无需知道相干分布式信号源的角信号分布函数,并且只需要一维谱搜索。此外,非圆信号的引入使得算法获得了更高的估计精度。计算机仿真验证了算法的有效性。
We consider the two?dimensional(2D) central direction of arrival(DOA) estimation of coherently distributed(CD)source. Making use of the symmetric property of the three?axis crossed array,the rooting method and the generalized ESPRIT algorithm are applied to estimate the central elevation angle and central azimuth angle of the CD source,respectively. The proposed algorithm estimates the 2D DOA independently of deterministic angular distribution function of the distributed source,and requires only one dimensional search. Moreover, the high estimation accuracy is obtained with the help of noncircular signal. Computer simulations show the efficiency of the proposed algorithm.
We consider the two?dimensional(2D) central direction of arrival(DOA) estimation of coherently distributed(CD)source. Making use of the symmetric property of the three?axis crossed array,the rooting method and the generalized ESPRIT algorithm are applied to estimate the central elevation angle and central azimuth angle of the CD source,respectively. The proposed algorithm estimates the 2D DOA independently of deterministic angular distribution function of the distributed source,and requires only one dimensional search. Moreover, the high estimation accuracy is obtained with the help of noncircular signal. Computer simulations show the efficiency of the proposed algorithm.
引文
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[2] Schmidt R O. Multiple emitter location and signal parameter estimation[J]. IEEE Trans Antenna Propag, 1986, 34(3):276?280.
[3] Roy R, Kailath T. ESPRIT—A subspace rotation approach to estimation of parameters of cissoids and noise[J]. IEEE Trans Acoust, Speech, Signal Process, 1986, 34(10):1340?1342.
[4] Valaee S, Champagne B, Kabal P. Parametric localization of distributed sources[J]. IEEE Trans Signal Process, 1995, 43(9):2144?2153.
[5] Raich R, Goldberg J, Messer H. Bearing estimation for a distributed source:Modeling, inherent accuracy limitations and algorithms[J]. IEEE Trans Signal Process, 2000, 48(2):429?441.
[6] Wan Q, Peng Y. Low?complexity estimator for four?dimensional parameters under a reparameterised distributed source model[J]. IEEE Proc, Radar, Sonar Navig, 2001, 148(6):313?317.
[7] Lee J, Song I, Kwon H, et al. Low?complexity estimation of 2D DOA for coherently distributed sources[J]. Signal Process,2003, 83(8):1789?1802.
[8] Nam J G, Lee S H, Lee K K. 2?D nominal angle estimation of multiple coherently distributed sources in a uniform circular array[J]. IEEE Antennas Wireless Propag Lett, 2014, 13:415?418.
[9]彭涛,唐斌.一种分布式信号源的参数估计算法[J].电子科技大学学报, 2005, 34(5):661?664.Peng Tao, Tang Bin. An approach on parameters estimation of distributed source[J]. Journal of University Electronic Science and Technology of China, 2005, 34(5):661?664.
[10]万群,杨万麟.分布式信号源波达方向估计方法[J].电子科技大学学报, 2001, 30(1):1?5.Wan Qun, Yang Wanlin. An approach for direction of arrival estimation of distributed source[J]. Journal of University Electronic Science and Technology of China, 2001, 30(1):1?5.
[11] Charge P, Wang Y, Saillard J. A non?circular sources direction finding method using polynomial rooting[J]. Signal Process,2001, 81(8):1765?1770.
[12] Delmas J P. Asymptotically minimum variance second?order estimation for noncircular signal with application to DOA estimation[J]. IEEE Trans Signal Process, 2004, 52(5):1235?1241.
[13] Delmas J P, Abeida H. Stochastic Cramer?Rao bound for noncircular signals with application to DOA estimation[J]. IEEE Trans Signal Process, 2004, 52(11):3192?3199.
[14] Abeida H, Delmas J P. MUSIC?like estimation of direction of arrival for noncircular sources[J]. IEEE Trans Signal Process,2006, 54(7):2678?2690.
[15] Haardt M, Romer F. Enhancements of unitary ESPRIT for non?circular sources[C]//Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing(ICASSP). Montreal, Canada:IEEE, 2013:3986?3990.
[16] Shi Y, Huang L, Qian C, et al. Direction?of?arrival estimation for noncircular sources via structured least square?based ESPRIT using three?axis crossed array[J]. IEEE Trans Aerosp Electron Syst, 2015, 51(2):1267?1278.
[17]郑春弟,冯大政,雷革.一种利用非圆信号特点的实值DOA估计算法[J].数据采集与处理,2009, 24(2):193?197.Zheng Chundi, Feng Dazheng, Lei Ge. A real-value DOA estimation algorithm using the characteristics of non?circular signals[J]. Journal of Data Acquisition and Processing,2009, 24(2):193?197.
[18]孙心宇,周建江.非圆传播算子DOA估计算法[J].数据采集与处理, 2013, 28(3):313?318.Sun Xinyu, Zhou Jianjiang. Non-circular propagation operator DOA estimation algorithm[J]. Journal of Data Acquisition and Processing,2013, 28(3):313?318.
[19] Gradshteyn I S, Ryzhik I M. Table of integrals, series, and products[M]. Orlando, FL:Academic Press, 1980.
[20] Gao F, Gershman A B. A generalized ESPRIT approach to direction?of?arrival estimation[J]. IEEE Signal Process Lett, 2005,12(3):254?257.
[2] Schmidt R O. Multiple emitter location and signal parameter estimation[J]. IEEE Trans Antenna Propag, 1986, 34(3):276?280.
[3] Roy R, Kailath T. ESPRIT—A subspace rotation approach to estimation of parameters of cissoids and noise[J]. IEEE Trans Acoust, Speech, Signal Process, 1986, 34(10):1340?1342.
[4] Valaee S, Champagne B, Kabal P. Parametric localization of distributed sources[J]. IEEE Trans Signal Process, 1995, 43(9):2144?2153.
[5] Raich R, Goldberg J, Messer H. Bearing estimation for a distributed source:Modeling, inherent accuracy limitations and algorithms[J]. IEEE Trans Signal Process, 2000, 48(2):429?441.
[6] Wan Q, Peng Y. Low?complexity estimator for four?dimensional parameters under a reparameterised distributed source model[J]. IEEE Proc, Radar, Sonar Navig, 2001, 148(6):313?317.
[7] Lee J, Song I, Kwon H, et al. Low?complexity estimation of 2D DOA for coherently distributed sources[J]. Signal Process,2003, 83(8):1789?1802.
[8] Nam J G, Lee S H, Lee K K. 2?D nominal angle estimation of multiple coherently distributed sources in a uniform circular array[J]. IEEE Antennas Wireless Propag Lett, 2014, 13:415?418.
[9]彭涛,唐斌.一种分布式信号源的参数估计算法[J].电子科技大学学报, 2005, 34(5):661?664.Peng Tao, Tang Bin. An approach on parameters estimation of distributed source[J]. Journal of University Electronic Science and Technology of China, 2005, 34(5):661?664.
[10]万群,杨万麟.分布式信号源波达方向估计方法[J].电子科技大学学报, 2001, 30(1):1?5.Wan Qun, Yang Wanlin. An approach for direction of arrival estimation of distributed source[J]. Journal of University Electronic Science and Technology of China, 2001, 30(1):1?5.
[11] Charge P, Wang Y, Saillard J. A non?circular sources direction finding method using polynomial rooting[J]. Signal Process,2001, 81(8):1765?1770.
[12] Delmas J P. Asymptotically minimum variance second?order estimation for noncircular signal with application to DOA estimation[J]. IEEE Trans Signal Process, 2004, 52(5):1235?1241.
[13] Delmas J P, Abeida H. Stochastic Cramer?Rao bound for noncircular signals with application to DOA estimation[J]. IEEE Trans Signal Process, 2004, 52(11):3192?3199.
[14] Abeida H, Delmas J P. MUSIC?like estimation of direction of arrival for noncircular sources[J]. IEEE Trans Signal Process,2006, 54(7):2678?2690.
[15] Haardt M, Romer F. Enhancements of unitary ESPRIT for non?circular sources[C]//Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing(ICASSP). Montreal, Canada:IEEE, 2013:3986?3990.
[16] Shi Y, Huang L, Qian C, et al. Direction?of?arrival estimation for noncircular sources via structured least square?based ESPRIT using three?axis crossed array[J]. IEEE Trans Aerosp Electron Syst, 2015, 51(2):1267?1278.
[17]郑春弟,冯大政,雷革.一种利用非圆信号特点的实值DOA估计算法[J].数据采集与处理,2009, 24(2):193?197.Zheng Chundi, Feng Dazheng, Lei Ge. A real-value DOA estimation algorithm using the characteristics of non?circular signals[J]. Journal of Data Acquisition and Processing,2009, 24(2):193?197.
[18]孙心宇,周建江.非圆传播算子DOA估计算法[J].数据采集与处理, 2013, 28(3):313?318.Sun Xinyu, Zhou Jianjiang. Non-circular propagation operator DOA estimation algorithm[J]. Journal of Data Acquisition and Processing,2013, 28(3):313?318.
[19] Gradshteyn I S, Ryzhik I M. Table of integrals, series, and products[M]. Orlando, FL:Academic Press, 1980.
[20] Gao F, Gershman A B. A generalized ESPRIT approach to direction?of?arrival estimation[J]. IEEE Signal Process Lett, 2005,12(3):254?257.