基于非均匀线列阵的多目标DOA估计
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摘要
针对空间欠采样下多个窄带信号方位估计问题,提出了一种基于非均匀线列阵的多目标波到达方向(direction-of-arrival,DOA)估计方法。非均匀线列阵由多个均匀线列阵组成,给出了多目标DOA估计时多个均匀线列阵阵元间距间需满足的几何条件。利用闭合形式解的同时估计多个实数的广义稳健中国剩余定理解方位角模糊,减少了重构算法的运算量。仿真实例表明提出的非均匀线列阵可以在空间欠采样情况下对多个窄带信号进行方位估计,且精度高、稳健性好。
In this paper, we propose a new approach to estimating direction of arrivals(DOAs) of multiple narrowband signals with sub-Nyquist spatial sampling based on non-uniform linear array. A new model of non-uniform linear array was established, which consists of several ULAs and its geometry condition for DOA estimation was obtained based onGeneralized Robust Chinese Remainder Theorem(GRCRT) for multiple numbers. What's more, a closed-form GRCRT for multiple numbers was applied for DOA ambiguity resolution, which solves the problem of large computational complexity. The simulation results show preliminarily that our new approach based on non-uniform linear array can indeed accurately and robustly estimate DOAs of multiple narrowband signals.
In this paper, we propose a new approach to estimating direction of arrivals(DOAs) of multiple narrowband signals with sub-Nyquist spatial sampling based on non-uniform linear array. A new model of non-uniform linear array was established, which consists of several ULAs and its geometry condition for DOA estimation was obtained based onGeneralized Robust Chinese Remainder Theorem(GRCRT) for multiple numbers. What's more, a closed-form GRCRT for multiple numbers was applied for DOA ambiguity resolution, which solves the problem of large computational complexity. The simulation results show preliminarily that our new approach based on non-uniform linear array can indeed accurately and robustly estimate DOAs of multiple narrowband signals.
引文
[1] F Athley. Optimization of element positions for direction finding with sparse arrays[C]. Statistical Signal Processing, 2001. Proceedings of the, IEEE Signal Processing Workshop on. IEEE, 2001:516-519.
[2] Y I Abramovich, et al. Comparison of DOA estimation performance for various types of sparse antenna array geometries[C]. Eusipco-96 Processing, 1996:1-4.
[3] Hui Chen, Yong-Liang Wang, Shan-Hu Wan. Performance improvement of estimation direction-of-arrival via array geometry arrangement[J]. Antennas and Propagation Society International Symposium. IEEE, 1999(3):1600-1603.
[4] 朱维杰,孙进才. 具有频率不变波束图的非均匀线列宽带基阵设计[J]. 数据采集与处理, 2003,18(1):78-82.
[5] 方华,吴国清,马力. 线列阵甚宽频带恒定束宽的数字实现方法[J]. 应用声学, 2006,25(4):222-228.
[6] 郭祺丽,孙超. 一种改进的非均匀线列阵宽带波束形成方法[J]. 计算机仿真, 2011,28(9):109-113.
[7] 李绍滨,林磊,胡航. Y形阵列宽带信号二维来波方向估计[J]. 哈尔滨工业大学学报, 2012,44(1):67-70.
[8] 梁红,张琦,杨长生. 广义稳健中国剩余定理及其在空间欠采样信号DOA估计中的应用[J]. 西北工业大学学报, 2010,28(3): 409-414.
[9] 梁红,张恒. 空时欠采样下多目标频率和方位联合估计新方法[J]. 西北工业大学学报, 2012,30(5):694-698.
[10] Li Xiao-Wei, Xia Xiang-Gen. A Fast robust Chinese Remainder Theorem based phase unwrapping algorithm[J]. IEEE Signal Processing Letters, 2008, 15:665-668.
[11] Li Xiao-Wei, Liang Hong, Xia Xiang-Gen. A robust Chinese Remainder Theorem with its applications in frequency estimation from undersampled waveforms[J]. IEEE Transactions on Signal Processing, 2009,57(11):4314-4322.
[12] Wang Wen-Jie, Xia Xiang-Gen. A closed-Form robust Chinese Remainder Theorem and its performance analysis[J]. IEEE Transactions on Signal Processing, 2010,58(11):5655-5666.
[2] Y I Abramovich, et al. Comparison of DOA estimation performance for various types of sparse antenna array geometries[C]. Eusipco-96 Processing, 1996:1-4.
[3] Hui Chen, Yong-Liang Wang, Shan-Hu Wan. Performance improvement of estimation direction-of-arrival via array geometry arrangement[J]. Antennas and Propagation Society International Symposium. IEEE, 1999(3):1600-1603.
[4] 朱维杰,孙进才. 具有频率不变波束图的非均匀线列宽带基阵设计[J]. 数据采集与处理, 2003,18(1):78-82.
[5] 方华,吴国清,马力. 线列阵甚宽频带恒定束宽的数字实现方法[J]. 应用声学, 2006,25(4):222-228.
[6] 郭祺丽,孙超. 一种改进的非均匀线列阵宽带波束形成方法[J]. 计算机仿真, 2011,28(9):109-113.
[7] 李绍滨,林磊,胡航. Y形阵列宽带信号二维来波方向估计[J]. 哈尔滨工业大学学报, 2012,44(1):67-70.
[8] 梁红,张琦,杨长生. 广义稳健中国剩余定理及其在空间欠采样信号DOA估计中的应用[J]. 西北工业大学学报, 2010,28(3): 409-414.
[9] 梁红,张恒. 空时欠采样下多目标频率和方位联合估计新方法[J]. 西北工业大学学报, 2012,30(5):694-698.
[10] Li Xiao-Wei, Xia Xiang-Gen. A Fast robust Chinese Remainder Theorem based phase unwrapping algorithm[J]. IEEE Signal Processing Letters, 2008, 15:665-668.
[11] Li Xiao-Wei, Liang Hong, Xia Xiang-Gen. A robust Chinese Remainder Theorem with its applications in frequency estimation from undersampled waveforms[J]. IEEE Transactions on Signal Processing, 2009,57(11):4314-4322.
[12] Wang Wen-Jie, Xia Xiang-Gen. A closed-Form robust Chinese Remainder Theorem and its performance analysis[J]. IEEE Transactions on Signal Processing, 2010,58(11):5655-5666.
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