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浅海波导中低频声场干涉简正模态的判别

孟瑞洁 周士弘 李风华 戚聿波

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浅海波导中低频声场干涉简正模态的判别

孟瑞洁, 周士弘, 李风华, 戚聿波

Identification of interference normal mode pairs of low frequency sound in shallow water

Meng Rui-Jie, Zhou Shi-Hong, Li Feng-Hua, Qi Yu-Bo
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  • 浅海波导中, 低频宽带声场中干涉简正模特性可用于声源定位和环境参数反演, 然而实际应用中由于存在声源位置不确知、某些简正模激发较弱、模型参数选取失配等因素的制约, 导致干涉简正模阶数的判别存在问题. 结合水平线列阵应用, 根据阵列接收信号中干涉简正模成分的波束输出角度与距离无关但与干涉简正模阶数和频率相关的波导固有频散特性, 提出了一种基于阵元域接收信号自相关函数WARPING变换过滤干涉简正模, 进而对其波束输出角度进行模基匹配判别简正模阶数的方法. 利用2011年北黄海海域声学实验中坐底布放的32元水平线列阵接收的爆炸声脉冲信号, 对方法进行了验证. 并由仿真数据分析了声速剖面、海底参数和水深等参数失配及信噪比对方法性能的影响. 结果表明水深变化14%以上对干涉简正模波束输出角度的提取值影响最大, 可引起方法失效; 声速剖面和海底参数在一定失配范围内对方法性能的影响可忽略; 方法要求单阵元信噪比大于2 dB.
    The interference characteristics of normal modes in low-frequency broadband sound can be applied to source localization and environmental parameter inversion in shallow water. However, the identification ambiguity of interference normal mode pairs generally occurs in practical applications due to unknown source position, some weakly-excited normal modes, mismatched environmental model, etc. For the applications of a horizontal line array, a model-based processing approach is proposed to determine the orders of the interference normal mode pairs based on the intrinsic dispersion characteristics of interference normal mode pairs in the received signals and the range-independent properties of the array beam output angles. Firstly, the normal mode pair filtering is achieved by using the WARPING transform of the signal autocorrelation function in the element domain of the horizontal line array. Then, the arrival angles of the filtered interference normal mode pairs are estimated by using array beamforming. Finally, the estimated beam output angles are matched with the replica values computed by sound field model. The approach is verified by using the explosive pulse signals received by the seafloor-deployed 32-element horizontal line array at the North Yellow Sea in 2011. Furthermore, some simulations are involved to analyze the effects of environmental parameter mismatches including water sound speed profile, sea bottom parameters and water depth on the identification performance of interference normal mode pairs. The results show that the water depth is a major factor influencing the extracted values of the beam output angles of interference normal mode pairs. The approach might fail when the water depth mismatch exceeds 14% of the practical value. However, the effects of water sound speed profile mismatch and sea bottom parameters mismatch are negligible. The effect of signal-to-noise ratio in the element domain on a horizontal line array is also simulated in order to analyze the limitation of identification performance, which shows that the required signal-to-noise ratio in the element domain should be more than 2 dB.
      通信作者: 周士弘, shih_zhou@mail.ioa.ac.cn
    • 基金项目: 中国科学院前沿科学重点研究项目(批准号: QYZDY-SSW-SLH005)和国家自然科学基金(批准号: 11804362, 11804364)资助的课题.
      Corresponding author: Zhou Shi-Hong, shih_zhou@mail.ioa.ac.cn
    • Funds: Project supported by the State Key Program for Frontier Science Research of Chinese Academy of Sciences, China (Grant No. QYZDY-SSW-SLH005) and the National Natural Science Foundation of China (Grant Nos. 11804362, 11804364).
    [1]

    Bonnel J, Nicolas B, Mars J I, Walker S C 2010 J. Acoust. Soc. Am. 128 719Google Scholar

    [2]

    Bonnel J, Chapman N R 2011 J. Acoust. Soc. Am. 130 EL101Google Scholar

    [3]

    牛海强, 何利, 李整林, 张仁和, 南明星 2014 声学学报 39 1

    Niu H Q, He L, Li Z L, Zhang R H, Nan M X 2014 Acta Acoust. 39 1

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    Li Z L, Zhang R H 2007 Chin. Phys. Lett. 24 471Google Scholar

    [5]

    Li F H, Zhang B, Guo Y G 2014 Chin. Phys. Lett. 31 47

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    Bonnel J, Ying-Tsong L, Eleftherakis D, Goff J A, Dosso S, Chapman R, Miller J H, Potty G R 2018 J. Acoust. Soc. Am. 143 405Google Scholar

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    李佳蔚, 鹿力成, 郭圣明, 马力 2017 物理学报 66 204301Google Scholar

    Li J W, Lu L C, Guo S M, Ma L 2017 Acta Phys. Sin. 66 204301Google Scholar

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    Lopatka M, Touzé G L, Nicolas B, Cristol X, Mars J I, Fattaccioli D 2010 J. Adv. Signal Proc. 2010 304103Google Scholar

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    王冬, 郭良浩, 刘建军, 戚聿波 2016 物理学报 65 104302Google Scholar

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    Bonnel J, Thode A 2013 J. Acoust. Soc. Am. 19 070066

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    戚聿波, 周士弘, 张仁和, 张波, 任云 2014 物理学报 63 044303Google Scholar

    Qi Y B, Zhou S H, Zhang R H, Zhang B, Ren Y 2014 Acta Phys. Sin. 63 044303Google Scholar

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    李晓曼, 张明辉, 张海刚, 朴胜春, 刘亚琴, 周建波 2017 物理学报 66 094302Google Scholar

    Li X M, Zhang M H, Zhang H G, Piao S C, Liu Y Q, Zhou J B 2017 Acta Phys. Sin. 66 094302Google Scholar

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    李晓曼, 朴胜春, 张明辉, 刘亚琴, 周建波 2017 物理学报 66 184301Google Scholar

    Li X M, Piao S C, Zhang M H, Liu Y Q, Zhou J B 2017 Acta Phys. Sin. 66 184301Google Scholar

    [14]

    Zhou S H, Qi Y B, Ren Y 2014 Sci. China-Phys. Mech. Astron. 57 225Google Scholar

    [15]

    Baraniuk R G, Jones D L 1995 IEEE Trans. Signal Process. 43 2269Google Scholar

    [16]

    Touzé L, Nicolas B, Mars J I, Lacoume J L 2009 IEEE Trans. Signal Process. 57 1783Google Scholar

    [17]

    戚聿波, 周士弘, 张仁和, 任云 2015 物理学报 64 074301Google Scholar

    Qi Y B, Zhou S H, Zhang R H, Ren Y 2015 Acta Phys. Sin. 64 074301Google Scholar

    [18]

    戚聿波, 周士弘, 张仁和 2016 物理学报 65 134301Google Scholar

    Qi Y B, Zhou S H, Zhang R H 2016 Acta Phys. Sin. 65 134301Google Scholar

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    Jensen F B, Kuperman W A, Porter M B, Schmidt H 2011 Computational Ocean Acoustics (2nd Ed.) (NewYork: Springer) p408

    [20]

    Bender C M, Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill) p276

    [21]

    戚聿波, 周士弘, 任云, 刘建军, 王德俊, 冯希强 2015 声学学报 40 144

    Qi Y B, Zhou S H, Ren Y, Liu J J, Wang D J, Feng X Q 2015 Acta Acoust. 40 144

    [22]

    Porter M B 1991 The KRAKEN Normal Mode Program (La Spezia: SACLANT Undersea Research Centre) p1

  • 图 1  不同源深时接收信号自相关函数WARPING变换谱图 (a)源深33 m; (b)源深60 m

    Fig. 1.  WARPING transform spectral of received signal autocorrelation functions at different source depths: (a) Source depth 33 m; (b) source depth 60 m.

    图 2  干涉简正模波束输出角度理论值与提取值的对比

    Fig. 2.  Comparison of beam output angles between the theoretical and extracted values of the interference normal mode pairs.

    图 3  声速剖面

    Fig. 3.  Sound speed profile.

    图 4  WARPING变换频谱 (a)全部信号; (b)距离25.26 km 处接收的数据

    Fig. 4.  WARPING transform spectrum: (a) All signals; (b)the signal at range of 25.26 km.

    图 5  距离25.26 km处信号两组干涉简正模成分波束输出角度提取值与理论值的对比 (a)第一组干涉简正模; (b)第二组干涉简正模

    Fig. 5.  Comparison of the measured and computed beam output angles of the normal mode pairs at the range of 25.26 km: (a) The first normal mode pair; (b) the second normal mode pair.

    图 6  (1, 2)阶干涉简正模判别结果及其概率 (a)判别结果; (b)概率统计结果

    Fig. 6.  The discrimination of normal mode pair (1, 2) and its probability: (a) The discrimination of result; (b) probability.

    图 8  (1, 4)阶干涉简正模判别结果及其概率 (a)判别结果; (b)概率统计结果

    Fig. 8.  The discrimination of normal mode pair (1, 4) and its probability: (a) The discrimination of result; (b) probability.

    图 7  (1, 3)阶干涉简正模判别结果及其概率 (a)判别结果; (b)概率统计结果

    Fig. 7.  The discrimination of normal mode pair (1, 3) and its probability: (a) The discrimination of result;(b)probability.

    图 9  环境参数失配对(1,2)阶干涉简正模波束输出角度值的影响 (a)海水声速剖面失配; (b)海底参数失配; (c)海深失配

    Fig. 9.  The effect of environmental parameter mismatches on the beam output angles of the normal mode pair (1,2): (a)Sound speed profile mismatch; (b) sea bottom parameter mismatch; (c)water depth mismatch.

    图 10  信噪比对干涉简正模成分波束输出角度提取值的影响 (a)角度差均方根值与信噪比关系; (b) 2 dB时角度提取值与理论值

    Fig. 10.  The effect of SNR on the beam output angles of the normal mode pair: (a) The mean square error of the angle varies with SNR; (b) the extracted and theretical values at 2 dB.

    表 1  海底底质参数选择

    Table 1.  Sea bottom parameters

    海底声速/m·s–1海底密度/g·cm–3吸收系数/dB·λ–1
    15301.200.30
    15501.500.20
    16061.650.09
    17001.800.05
    下载: 导出CSV
  • [1]

    Bonnel J, Nicolas B, Mars J I, Walker S C 2010 J. Acoust. Soc. Am. 128 719Google Scholar

    [2]

    Bonnel J, Chapman N R 2011 J. Acoust. Soc. Am. 130 EL101Google Scholar

    [3]

    牛海强, 何利, 李整林, 张仁和, 南明星 2014 声学学报 39 1

    Niu H Q, He L, Li Z L, Zhang R H, Nan M X 2014 Acta Acoust. 39 1

    [4]

    Li Z L, Zhang R H 2007 Chin. Phys. Lett. 24 471Google Scholar

    [5]

    Li F H, Zhang B, Guo Y G 2014 Chin. Phys. Lett. 31 47

    [6]

    Bonnel J, Ying-Tsong L, Eleftherakis D, Goff J A, Dosso S, Chapman R, Miller J H, Potty G R 2018 J. Acoust. Soc. Am. 143 405Google Scholar

    [7]

    李佳蔚, 鹿力成, 郭圣明, 马力 2017 物理学报 66 204301Google Scholar

    Li J W, Lu L C, Guo S M, Ma L 2017 Acta Phys. Sin. 66 204301Google Scholar

    [8]

    Lopatka M, Touzé G L, Nicolas B, Cristol X, Mars J I, Fattaccioli D 2010 J. Adv. Signal Proc. 2010 304103Google Scholar

    [9]

    王冬, 郭良浩, 刘建军, 戚聿波 2016 物理学报 65 104302Google Scholar

    Wang D, Guo L H, Liu J J, Qi Y B 2016 Acta Phys. Sin. 65 104302Google Scholar

    [10]

    Bonnel J, Thode A 2013 J. Acoust. Soc. Am. 19 070066

    [11]

    戚聿波, 周士弘, 张仁和, 张波, 任云 2014 物理学报 63 044303Google Scholar

    Qi Y B, Zhou S H, Zhang R H, Zhang B, Ren Y 2014 Acta Phys. Sin. 63 044303Google Scholar

    [12]

    李晓曼, 张明辉, 张海刚, 朴胜春, 刘亚琴, 周建波 2017 物理学报 66 094302Google Scholar

    Li X M, Zhang M H, Zhang H G, Piao S C, Liu Y Q, Zhou J B 2017 Acta Phys. Sin. 66 094302Google Scholar

    [13]

    李晓曼, 朴胜春, 张明辉, 刘亚琴, 周建波 2017 物理学报 66 184301Google Scholar

    Li X M, Piao S C, Zhang M H, Liu Y Q, Zhou J B 2017 Acta Phys. Sin. 66 184301Google Scholar

    [14]

    Zhou S H, Qi Y B, Ren Y 2014 Sci. China-Phys. Mech. Astron. 57 225Google Scholar

    [15]

    Baraniuk R G, Jones D L 1995 IEEE Trans. Signal Process. 43 2269Google Scholar

    [16]

    Touzé L, Nicolas B, Mars J I, Lacoume J L 2009 IEEE Trans. Signal Process. 57 1783Google Scholar

    [17]

    戚聿波, 周士弘, 张仁和, 任云 2015 物理学报 64 074301Google Scholar

    Qi Y B, Zhou S H, Zhang R H, Ren Y 2015 Acta Phys. Sin. 64 074301Google Scholar

    [18]

    戚聿波, 周士弘, 张仁和 2016 物理学报 65 134301Google Scholar

    Qi Y B, Zhou S H, Zhang R H 2016 Acta Phys. Sin. 65 134301Google Scholar

    [19]

    Jensen F B, Kuperman W A, Porter M B, Schmidt H 2011 Computational Ocean Acoustics (2nd Ed.) (NewYork: Springer) p408

    [20]

    Bender C M, Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill) p276

    [21]

    戚聿波, 周士弘, 任云, 刘建军, 王德俊, 冯希强 2015 声学学报 40 144

    Qi Y B, Zhou S H, Ren Y, Liu J J, Wang D J, Feng X Q 2015 Acta Acoust. 40 144

    [22]

    Porter M B 1991 The KRAKEN Normal Mode Program (La Spezia: SACLANT Undersea Research Centre) p1

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出版历程
  • 收稿日期:  2019-02-20
  • 修回日期:  2019-04-23
  • 上网日期:  2019-07-01
  • 刊出日期:  2019-07-05

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