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In shallow water exist the stable and significant interference characteristics of low frequency sound propagation, which contain the information of the sound source state and waveguide peculiarity. A simplified mapping method for describing the scalar and vector sound field interference structure radiated by a moving target, and an indicatory mechanism of the target state implicated in the energy distribution of the mapping domain are investigated in this paper. The mapping characteristics of two-dimensional Fourier transform of the vector sound field time (space) frequency interference spectrum are analyzed theoretically. Relations among waveguide invariant, range-rate, heading angle, and energy ridge slope of the mapping domain for time-frequency interference spectrum produced by a uniformly moving target are derived. Indication of target attacking or moving away, and the degree of threatening through symbols or the absolute value change of mapping domain’s ridge slope are demonstrated. Then numerical simulation and sea trial research are carried out. Experimental results with theoretical analysis and simulation results are in good agreement with each other. Research results show that the scalar and vector field time (space) frequency interference structure can be simplified by the two-dimensional Fourier transform. The mapping domain ridges, range-rate, heading angle and waveguide invariant show an analytic relationship among them. Variation embodied in the form of scalar and vector field interference structure obtained after mapping are more consistent with each other. The ridge of mapping domain can indicate the moving state of target concisely.
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Keywords:
- indicatory characteristics for target move state /
- two-dimensional Fourier transform /
- waveguide invariant /
- acoustic interference structure
[1] Kuperman W A, Song H C 2012 AIP Conference Proceedings of Advances in Ocean Acoustics Beijing, China, May 1–3, 2012 p69
[2] Zhang R H, Li Z L, Peng Z H, Li F H 2012 AIP Conference Proceedings of Advances in Ocean Acoustics Beijing, China, May 1–3, 2012 p16
[3] Li Q H 2012 AIP Conference Proceedings of Advances in Ocean Acoustics Beijing, China, May 1–3, 2012 p83
[4] Brekhovskikh L M, Lysanov Y P 2002 Fundamentals of Ocean Acoustics (New York: Springer-Verlag)
[5] Gershman S G, Tuzhilkin Yu I 1965 Sov. Phys. Acoust. 1 34
[6] Weston D E 1972 J. Sound. Vib. 21 57
[7] Chuprov S D 1982 Interference structure of a Sound Field in a Layered Ocean, in Brekhovskih L M, Andreevoi L B (ed) Ocean Acoustics. Current State pp71–91
[8] Burenkov S V 1989 Soviet Physical Acoustics 35 465
[9] Grachev C A 1993 Soviet Physical Acoustics 39 33
[10] Kuz’kin C A 1999 Soviet Physical Acoustics 45 224
[11] D’Spain G L, Kuperman W A 1999 J. Acoust. Soc. Am. 106 2454
[12] D’Spain G L, Williams D P, Kuperman W A, 2002 AIP Conference Proceedings of Ocean acoustic interference phenomena and signal processing San Francisco, California, May 1–3, 2002 p171
[13] Li Q H, Wang L, Wei C H, Li Y, Ma X J, Yu H C 2011 Acta Acustica 36 253 (in Chinese) [李启虎, 王磊, 卫翀华, 李嶷, 马雪洁, 于海春 2011 声学学报 36 253]
[14] Dall’Osto D R, Dahl P H, Chol J W 2012 J. Acoust. Soc. Am. 127 2023
[15] Yu Y, Hui J Y, Zhao A B, Sun G C, Teng C 2008 Acta Phys. Sin. 57 5742 (in Chinese) [余赟, 惠俊英, 赵安邦, 孙国仓, 滕超 2008 57 5742]
[16] Yu Y, Hui J Y, Chen Y, Sun G C, Teng C 2009 Acta Phys. Sin. 58 6335 (in Chinese) [余赟, 惠俊英, 陈阳, 孙国仓, 滕超 2009 58 6335]
[17] Yu Y, Hui J Y, Chen Y, Sun G C, Teng C 2012 Acta Phys. Sin. 61 054303 (in Chinese) [余赟, 惠俊英, 陈阳, 惠娟, 殷敬伟 2012 61 054303]
[18] Rakotonariv S T, Kuperman W A 2012 J. Acoust. Soc. Am. 132 2218
[19] Ren Q Y, Hermand J P 2013 J. Acoust. Soc. Am. 133 82
[20] Lin W S 2013 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [林旺生 2013 博士学位论文(哈尔滨: 哈尔滨工程大学)]
[21] Lin W S, Liang G L, Fu J, Zhang G P 2013 Acta Phys. Sin. 62 4301 (in Chinese) [林旺生, 梁国龙, 付进, 张光普 2013 62 4301]
[22] Tao H L, Krolik J 2007 Proceedings of IEEE Oceans Aberdeen, Scotland, June 18–21, 2007 p1
[23] Turgut A, Orr M 2010 J. Acoust. Soc. Am. 127 73
[24] Yu Y, Hui J Y, Ying J W, Hui J, Wang Z J 2011 Acta Acustica 36 258 (in Chinese) [余赟, 惠俊英, 殷敬伟, 惠娟, 王自娟 2011 声学学报 36 258]
[25] Yang T C 2003 J. Acoust. Soc. Am. 113 1342
[26] Rouseff D, Spindel R C 2002 AIP Conference Proceedings of Ocean acoustic interference phenomena and signal processing San Francisco, California, May 1–3, 2002 p137
[27] Baggeroer A B 2002 AIP Conference Proceedings of Ocean acoustic interference phenomena and signal processing San Francisco, California, May 1–3, 2002 p151
[28] An L, Wang Z Q, Lu J R 2008 Journal of Electronics & Information Technology 30 2930 (in Chinese) [安良, 王志强, 陆佶人 2008 电子与信息学报 30 2930]
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[1] Kuperman W A, Song H C 2012 AIP Conference Proceedings of Advances in Ocean Acoustics Beijing, China, May 1–3, 2012 p69
[2] Zhang R H, Li Z L, Peng Z H, Li F H 2012 AIP Conference Proceedings of Advances in Ocean Acoustics Beijing, China, May 1–3, 2012 p16
[3] Li Q H 2012 AIP Conference Proceedings of Advances in Ocean Acoustics Beijing, China, May 1–3, 2012 p83
[4] Brekhovskikh L M, Lysanov Y P 2002 Fundamentals of Ocean Acoustics (New York: Springer-Verlag)
[5] Gershman S G, Tuzhilkin Yu I 1965 Sov. Phys. Acoust. 1 34
[6] Weston D E 1972 J. Sound. Vib. 21 57
[7] Chuprov S D 1982 Interference structure of a Sound Field in a Layered Ocean, in Brekhovskih L M, Andreevoi L B (ed) Ocean Acoustics. Current State pp71–91
[8] Burenkov S V 1989 Soviet Physical Acoustics 35 465
[9] Grachev C A 1993 Soviet Physical Acoustics 39 33
[10] Kuz’kin C A 1999 Soviet Physical Acoustics 45 224
[11] D’Spain G L, Kuperman W A 1999 J. Acoust. Soc. Am. 106 2454
[12] D’Spain G L, Williams D P, Kuperman W A, 2002 AIP Conference Proceedings of Ocean acoustic interference phenomena and signal processing San Francisco, California, May 1–3, 2002 p171
[13] Li Q H, Wang L, Wei C H, Li Y, Ma X J, Yu H C 2011 Acta Acustica 36 253 (in Chinese) [李启虎, 王磊, 卫翀华, 李嶷, 马雪洁, 于海春 2011 声学学报 36 253]
[14] Dall’Osto D R, Dahl P H, Chol J W 2012 J. Acoust. Soc. Am. 127 2023
[15] Yu Y, Hui J Y, Zhao A B, Sun G C, Teng C 2008 Acta Phys. Sin. 57 5742 (in Chinese) [余赟, 惠俊英, 赵安邦, 孙国仓, 滕超 2008 57 5742]
[16] Yu Y, Hui J Y, Chen Y, Sun G C, Teng C 2009 Acta Phys. Sin. 58 6335 (in Chinese) [余赟, 惠俊英, 陈阳, 孙国仓, 滕超 2009 58 6335]
[17] Yu Y, Hui J Y, Chen Y, Sun G C, Teng C 2012 Acta Phys. Sin. 61 054303 (in Chinese) [余赟, 惠俊英, 陈阳, 惠娟, 殷敬伟 2012 61 054303]
[18] Rakotonariv S T, Kuperman W A 2012 J. Acoust. Soc. Am. 132 2218
[19] Ren Q Y, Hermand J P 2013 J. Acoust. Soc. Am. 133 82
[20] Lin W S 2013 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [林旺生 2013 博士学位论文(哈尔滨: 哈尔滨工程大学)]
[21] Lin W S, Liang G L, Fu J, Zhang G P 2013 Acta Phys. Sin. 62 4301 (in Chinese) [林旺生, 梁国龙, 付进, 张光普 2013 62 4301]
[22] Tao H L, Krolik J 2007 Proceedings of IEEE Oceans Aberdeen, Scotland, June 18–21, 2007 p1
[23] Turgut A, Orr M 2010 J. Acoust. Soc. Am. 127 73
[24] Yu Y, Hui J Y, Ying J W, Hui J, Wang Z J 2011 Acta Acustica 36 258 (in Chinese) [余赟, 惠俊英, 殷敬伟, 惠娟, 王自娟 2011 声学学报 36 258]
[25] Yang T C 2003 J. Acoust. Soc. Am. 113 1342
[26] Rouseff D, Spindel R C 2002 AIP Conference Proceedings of Ocean acoustic interference phenomena and signal processing San Francisco, California, May 1–3, 2002 p137
[27] Baggeroer A B 2002 AIP Conference Proceedings of Ocean acoustic interference phenomena and signal processing San Francisco, California, May 1–3, 2002 p151
[28] An L, Wang Z Q, Lu J R 2008 Journal of Electronics & Information Technology 30 2930 (in Chinese) [安良, 王志强, 陆佶人 2008 电子与信息学报 30 2930]
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