Abstract：Using liquid-solid coupling vibration model of the target echo generation mechanism and deriving coupled vibration formula, the target echo expression in the conditions of single and multiple excitation sources is drawn. The target echo generation mechanism is analyzed from a new point of view by building the target model in using a random process ARX models. Multi-input single-output ARX model is used to build target echo test model in shallow water environment. Ultimately, the target direct incident and direct echo are solved. The influence of multi-channel path is eliminated effectively. Measurement results equivalent to the free field is obtained. The effectiveness of the algorithm is verified by a pool experiments finally.
[1] Abraham D A, Willett P K. Active sonar detection in shallow water using the Page test[J]. Oceanic Engineering, IEEE Journal of, 2002, 27(1): 35-46.
[2] Chen Q, Xu W, Pan X, et al. Wideband multipath rejection for shallow water synthetic aperture sonar imaging[J]. IET radar, sonar & navigation, 2009, 3(6): 620-629.
[3] Xu B, Zhang H, Zeng L, et al. Application of parameter-induced stochastic resonance to target detection in shallow-water reverberation[J]. Applied Physics Letters, 2007, 91(9): 091908.
[4] Sarkissian A. Extraction of a target scattering response from measurements made over long ranges in shallow water[J]. The Journal of the Acoustical Society of America, 1997, 102(2): 825-832.
[5] Harrison C H, Nielsen P L. Multipath pulse shapes in shallow water: Theory and simulation[J]. The Journal of the Acoustical Society of America, 2007, 121(3): 1362-1373.
[6] 何祚镛, 赵玉芳. 声学理论基础[M]. 北京. 国防工业出版社. 1981. 5-28.
[7] 嵇英华, 刘清主编. 电路分析[M]. 北京. 电子工业出版社. 2014.
[8] 信号与系统[M]. 西安. 西安交通大学出版社. 1998. 471-477.
[9] 潘仲明. 随机信号与系统[M]. 北京. 国防工业出版社. 2013. 214-225.
[10] Namias V. The fractional Fourier transform and its applicationin quantum mechanics[J]J Inst Appl Math, 1980,(2)
