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针对水声矢量信号处理框架中的高速运动目标低信噪 比小快拍条件下的稳健高分辨方位估计问题, 将压缩感知技术应用于水声矢量信号空间谱估计模型中. 结合声矢量传感器结构特性, 探讨了基于声压振速联合处理的广义时域滤波方法; 结合矩阵空域预滤波理论, 设计了基于阻带约束通带均方误差最大值最小的空域滤波器, 研究了矢量声纳空域预滤波方法; 结合以上分析, 提出了基于压缩感知技术的时空联合滤波高分辨方位估计方法, 给出了方法的数学模型、物理解释及具体实施步骤.理论分析和计算机仿真试验表明, 新方法对于小快拍数 条件下的矢量声纳高速运动目标高分辨方位估计问题, 具有较低的双目标分辨门限和较高的估计精度, 有着良好的应用前景.湖上试验验证了方法的有效性.Based on high speed moving target robust high-resolution direction of arrival (DOA) estimation problem under low signal-to-noise ratio and a small number of snapshots in the underwater acoustic vector signal processing framework, a novel spatial spectrum model combined with compressive sensing method is proposed. By studying the acoustic vector sensor structure, a generalized temporal filtering method based on sound pressure and particle velocity combined treatment is presented. According to the matrix spatial prefiltering theory, a new spatial filter with stopband constraint and mean square error min-max principle in passband is proposed which is used as vector sonar spatial prefiltering algorithm. Based on the methods above, a novel time-space domain jointly filtering high-resolution DOA estimation algorithm based on compressive sensing is proposed. The mathematical model, physical interpretation, and specific implement are explained in detail. Theoretical analysis and computer simulation results show that the new method has a lower dual-target distinguishing threshold and a higher estimation accuracy in solving the vector sonar high speed moving target robust DOA estimation problem under a small number of snapshots (single snapshot) condition. The higher robustness and better results of the proposed method are verified in the lake experiment.
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Keywords:
- acoustic vector sensor /
- DOA estimation /
- time-space filter /
- compressive sensing
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[2] Hui J Y, Liu H, Yu H B, Fan M Y 2000 Acta Acustica 25 303 (in Chinese) [惠俊英, 刘宏, 余华兵, 范敏毅 2000 声学学报 25 303]
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[7] Chen X H 2004 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [陈新华 2004 博士学位论文 (哈尔滨: 哈尔滨工程大学)]
[8] Schmidt R O 1986 IEEE Trans. on AP 34 276
[9] Capon J 1969 Proceedings of the IEEE 57 1408
[10] Roy R, Kailath T 1989 IEEE Trans. on ASAP 37 984
[11] Sarkar T K, Sangruji N 1989 IEEE Trans. on ASAP 37 940
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[13] Sarkar T K, Koh J, Adve R, Schneible R A, Wicks M C, Choi S, Salazar-Palma M 2000 Antennas and Propagation Magazine 42 39
[14] Sarkar T K, Sangruji N, Micheal C W 1998 Digital Signal Processing 8 114
[15] Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289
[16] Candes E J, Walkin M B 2008 IEEE Signal Processing Magazine 25 21
[17] Candes E J, Romberg, Tao T 2006 IEEE Trans. Inform. Theory 52 489
[18] Candes E J, Tao T 2006 IEEE Trans. Inform. Theory 52 5406
[19] Candes E J, Romberg, Tao T 2006 Comm. Pure Appl. Math. 59 1207
[20] Malioutov D M 2003 M. S. Dissertation (Cambridge: Massachusetts Institute of Technology)
[21] Malioutov D M, Cetin M, Willsky A S 2005 IEEE Trans. on SP 53 3010
[22] Fu J S 2012 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [付金山 2012 博士学位论文 (哈尔滨: 哈尔滨工程大学)]
[23] Yan S F, Ma Y L 2006 Sci. China Inf. Sci. 36 153 (in Chinese) [鄢社锋, 马远良 2006 中国科学·信息科学 36 153]
[24] Gershman A B 1998 IEEE Trans. on SP. 44 361
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[1] Nehorai A, Paldi E 1994 IEEE Trans. on SP 42 2481
[2] Hui J Y, Liu H, Yu H B, Fan M Y 2000 Acta Acustica 25 303 (in Chinese) [惠俊英, 刘宏, 余华兵, 范敏毅 2000 声学学报 25 303]
[3] Shi J, Yang D S, Shi S G 2012 Acta Phys. Sin. 61 4302 (in Chinese) [时洁, 杨德森, 时胜国 2012 61 4302]
[4] Yang S E 2003 J. Harbin Engin. Univ. 24 591 (in Chinese) [杨士莪 2003 哈尔滨工程大学学报 24 591]
[5] Wu Y Q 2011 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [吴艳群 2011 博士学位论文 (长沙: 国防科学技术大学)]
[6] Sun G Q, Li Q H 2004 Acta Acustica 29 491 (in Chinese) [孙贵青, 李启虎 2004 声学学报 24 491]
[7] Chen X H 2004 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [陈新华 2004 博士学位论文 (哈尔滨: 哈尔滨工程大学)]
[8] Schmidt R O 1986 IEEE Trans. on AP 34 276
[9] Capon J 1969 Proceedings of the IEEE 57 1408
[10] Roy R, Kailath T 1989 IEEE Trans. on ASAP 37 984
[11] Sarkar T K, Sangruji N 1989 IEEE Trans. on ASAP 37 940
[12] Sarkar T K 2003 Smart Antennas (1st Ed.) (New Jersey: John Wiley & Sons Inc.) p52
[13] Sarkar T K, Koh J, Adve R, Schneible R A, Wicks M C, Choi S, Salazar-Palma M 2000 Antennas and Propagation Magazine 42 39
[14] Sarkar T K, Sangruji N, Micheal C W 1998 Digital Signal Processing 8 114
[15] Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289
[16] Candes E J, Walkin M B 2008 IEEE Signal Processing Magazine 25 21
[17] Candes E J, Romberg, Tao T 2006 IEEE Trans. Inform. Theory 52 489
[18] Candes E J, Tao T 2006 IEEE Trans. Inform. Theory 52 5406
[19] Candes E J, Romberg, Tao T 2006 Comm. Pure Appl. Math. 59 1207
[20] Malioutov D M 2003 M. S. Dissertation (Cambridge: Massachusetts Institute of Technology)
[21] Malioutov D M, Cetin M, Willsky A S 2005 IEEE Trans. on SP 53 3010
[22] Fu J S 2012 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [付金山 2012 博士学位论文 (哈尔滨: 哈尔滨工程大学)]
[23] Yan S F, Ma Y L 2006 Sci. China Inf. Sci. 36 153 (in Chinese) [鄢社锋, 马远良 2006 中国科学·信息科学 36 153]
[24] Gershman A B 1998 IEEE Trans. on SP. 44 361
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