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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
[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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[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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