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Aiming at the passive impulse wideband source range problem in shallow water waveguides, a passive source range method with single hydrophone which is applied to the shallow water waveguide with a bottom of liquid semi-infinite space is presented in this paper by combining the group delay theory and warping transformation. The receive signal is composed of several normal modes, and each mode represents many characteristics of the waveguide environment. Warping transformation is a good tool which can achieve the separation and extraction of normal modes from the received signal, and it is also an unitary and reversible transformation, so the warped signal of each normal mode can be recovered completely. The dispersion curves of normal modes can be extracted by warping transformation, and the relation between arrival time and frequency of each order normal mode can also be calculated, and then the time delay of arriving hydrophone between arbitrary two different normal modes is obtained. According to the group delay theory, different order normal mode has different arrival time at the same frequency, and the arrival time of normal mode is determined at its group speed when the distance between the source and hydrophone is certain. So the propagation range can be estimated when the time delay and the slow group speed difference between two different normal modes are known. When the waveguide environmental parameters are known, the slow group speed difference of arbitrary two normal modes can be calculated by KRAKEN. However, when the bottom parameters are unknown, the bottom reflection phase shift parameter is an important parameter describing the acoustic parameters of the bottom, and it contains nearly all the bottom information, what is more, the bottom reflection phase shift parameter is also a parameter that can be extracted by some experimental data easily. When the depth and the average sound speed of the water column are known, the slow group speed difference between two order normal modes can be represented by the seafloor phase shift parameter. Therefore, the source range can be represented by the bottom reflection phase shift parameter, the sea depth and the mean sound speed in the waveguide, and under this condition, the source location can be estimated by one single hydrophone. The effectiveness and accuracy of the method are proved by the numerical simulation results and sea experimental data processing, in which the signals are both received by a single hydrophone. The sea experimental data contain linear frequency modulation impulse source signal and explosion sound source signal, and the mean relative error of range estimation is less than 10%.
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Keywords:
- phase shift parameter /
- warping transformation /
- group delay /
- passive range
[1] Li Q Q 2016 Chin. Phys. Lett. 33 034301
[2] Li Q Q, Li Z L, Zhang R H 2013 Chin. Phys. Lett. 30 024301
[3] Hassab J 1983 IEEE J. Oceanic Eng. 8 136
[4] Zhao Z D, Wang N, Gao D Z, Wang H Z 2010 Chin. Phys. Lett. 27 064301
[5] Bonnel J, Chapman N R 2011 J. Acoust. Soc. Am. 130 101
[6] Brown J C, Hodgins D A, Miller P J O 2006 J. Acoust. Soc. Am. 119 EL34
[7] Ioana C, Quinquis A, Stephan Y 2006 IEEE J. Oceanic Eng. 31 628
[8] Bonnel J, Dosso S E, Chapman R N 2013 J. Acoust. Soc. Am. 134 120
[9] Zeng J, Chapman N R, Bonnel J 2013 J. Acoust. Soc. Am. 134 394
[10] Lin Y T, Newhall A E, Lynch J F 2012 J. Acoust. Soc. Am. 131 1798
[11] Zhou S H, Qi Y B, Ren Y 2014 Sci. China:Phys. Mech. Astron. 57 225
[12] Wang D, Guo L H, Liu J J, Qi Y B 2016 Acta Phys. Sin. 65 104302(in Chinese)[王冬, 郭良浩, 刘建军, 戚聿波2016 65 104302]
[13] Qi Y B, Zhou S H, Zhang R H, Zhang B, Zhang Y 2014 Acta Phys. Sin. 63 044303(in Chinese)[戚聿波, 周士弘, 张仁和, 张波, 张云2014 63 044303]
[14] Bonnel J, Gervaise C, Nicolas B, Mars J I 2012 J. Acoust. Soc. Am. 131 119
[15] Bonnel J, Thode A M, Blackwell S B, Kim K, Michael M A 2014 J. Acoust. Soc. Am. 136 145
[16] Zhang R H, Li F H 1999 Sci. China A 29 241(in Chinese)[张仁和, 李风华1999中国科学A辑 29 241]
[17] Wang D Z, Shang E C 2009 Underwater Acoustics (2nd Ed.) (Harbin:Harbin Engineering University Press) pp628-640(in Chinese)[汪德昭, 尚尔昌2009水声学(第二版) (哈尔滨:哈尔滨工程大学出版社)第628–640页]
[18] Bonnel J, Gervaise C, Nicolas B, Mars J I 2010 J. Acoust. Soc. Am. 128 719
[19] Baraniuk R, Jones D 1995 IEEE Trans. Signal Proc. 43 2269
[20] Touze G L, Nicolas B, Mars J I 2009 IEEE Trans. Signal Proc. 57 1783
[21] Niu H Q 2014 Ph. D. Dissertation (Beijing:University of Chinese Academy of Sciences) (in Chinese)[牛海强2014博士学位论文(北京:中国科学院大学)]
[22] Shang E C, Wu J R, Zhao Z D 2012 J. Acoust. Soc. Am. 131 3691
[23] Li X M, Zhang M H, Zhang H G, Piao S C, Liu Y Q, Zhou J B 2017 Acta Phys. Sin. 66 094302(in Chinese)[李晓曼, 张明辉, 张海刚, 朴胜春, 刘亚琴, 周建波2017 66 094302]
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[1] Li Q Q 2016 Chin. Phys. Lett. 33 034301
[2] Li Q Q, Li Z L, Zhang R H 2013 Chin. Phys. Lett. 30 024301
[3] Hassab J 1983 IEEE J. Oceanic Eng. 8 136
[4] Zhao Z D, Wang N, Gao D Z, Wang H Z 2010 Chin. Phys. Lett. 27 064301
[5] Bonnel J, Chapman N R 2011 J. Acoust. Soc. Am. 130 101
[6] Brown J C, Hodgins D A, Miller P J O 2006 J. Acoust. Soc. Am. 119 EL34
[7] Ioana C, Quinquis A, Stephan Y 2006 IEEE J. Oceanic Eng. 31 628
[8] Bonnel J, Dosso S E, Chapman R N 2013 J. Acoust. Soc. Am. 134 120
[9] Zeng J, Chapman N R, Bonnel J 2013 J. Acoust. Soc. Am. 134 394
[10] Lin Y T, Newhall A E, Lynch J F 2012 J. Acoust. Soc. Am. 131 1798
[11] Zhou S H, Qi Y B, Ren Y 2014 Sci. China:Phys. Mech. Astron. 57 225
[12] Wang D, Guo L H, Liu J J, Qi Y B 2016 Acta Phys. Sin. 65 104302(in Chinese)[王冬, 郭良浩, 刘建军, 戚聿波2016 65 104302]
[13] Qi Y B, Zhou S H, Zhang R H, Zhang B, Zhang Y 2014 Acta Phys. Sin. 63 044303(in Chinese)[戚聿波, 周士弘, 张仁和, 张波, 张云2014 63 044303]
[14] Bonnel J, Gervaise C, Nicolas B, Mars J I 2012 J. Acoust. Soc. Am. 131 119
[15] Bonnel J, Thode A M, Blackwell S B, Kim K, Michael M A 2014 J. Acoust. Soc. Am. 136 145
[16] Zhang R H, Li F H 1999 Sci. China A 29 241(in Chinese)[张仁和, 李风华1999中国科学A辑 29 241]
[17] Wang D Z, Shang E C 2009 Underwater Acoustics (2nd Ed.) (Harbin:Harbin Engineering University Press) pp628-640(in Chinese)[汪德昭, 尚尔昌2009水声学(第二版) (哈尔滨:哈尔滨工程大学出版社)第628–640页]
[18] Bonnel J, Gervaise C, Nicolas B, Mars J I 2010 J. Acoust. Soc. Am. 128 719
[19] Baraniuk R, Jones D 1995 IEEE Trans. Signal Proc. 43 2269
[20] Touze G L, Nicolas B, Mars J I 2009 IEEE Trans. Signal Proc. 57 1783
[21] Niu H Q 2014 Ph. D. Dissertation (Beijing:University of Chinese Academy of Sciences) (in Chinese)[牛海强2014博士学位论文(北京:中国科学院大学)]
[22] Shang E C, Wu J R, Zhao Z D 2012 J. Acoust. Soc. Am. 131 3691
[23] Li X M, Zhang M H, Zhang H G, Piao S C, Liu Y Q, Zhou J B 2017 Acta Phys. Sin. 66 094302(in Chinese)[李晓曼, 张明辉, 张海刚, 朴胜春, 刘亚琴, 周建波2017 66 094302]
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