针对宽带连续声信号简正波模态混叠问题,提出了一种基于水听器阵列的目标方位估计与频率-波数(Frequency-Wavenumber, F-K)变换相结合的简正波分离方法,通过设置海底水平线列阵接收目标连续声信号,利用阵列先行对目标方位进行搜索估计,根据得到的目标方位角计算信号到达各阵元的时延,并对阵列接收到的时间-距离二维信号矩阵进行时间修正,通过F-K变换将修正后的信号从时间-距离域转换至频率-波数域,在频率-波数域内实现连续声信号简正波各阶模态的分离。仿真实验验证了时频分析方法的局限性以及所提出方法的可行性,按照声源特征设置满足F-K变换频率域分辨率和波数域分辨率要求的海底水平线列阵。该方法可在声速恒定波导和实测浅海波导信噪比大于5 dB的条件下,分离距阵列20 km处目标100~200 Hz宽带声信号持续10 s以内简正波的各阶模态。
To address the issue of mode aliasing in broadband continuous acoustic signals, a method for separating normal modes based on a hydrophone array for target direction estimation combined with Frequency-Wavenumber (F-K) transformation has been proposed. This method involves deploying a horizontal line array on the seabed to receive continuous acoustic signals from the target. The array first searches for and estimates the target's direction. Using the estimated azimuth angle, the time delays of the signals arriving at each array element are computed. The time domain matrix of the received time-distance signals is then corrected, and the corrected signals are transformed from the time-distance domain to the frequency-wavenumber domain using F-K transformation. In the frequency-wavenumber domain, separation of the various modes of the continuous acoustic signal is achieved.Simulation experiments validate the limitations of time-frequency analysis methods and demonstrate the feasibility of the proposed approach. A horizontal line array on the seabed is configured according to the characteristics of the sound source to meet the resolution requirements for the frequency and wavenumber domains during F-K transformation. This method can effectively separate the normal modes of broadband acoustic signals in the frequency range of 100-200 Hz, received from a target located 20 km from the array, for durations of up to 10 seconds, under conditions of constant sound speed in a waveguide and signal-to-noise ratios greater than 5 dB in measured shallow-water waveguides.
2025,47(8): 107-113 收稿日期:2024-6-21
DOI:10.3404/j.issn.1672-7649.2025.08.018
分类号:TB565.1
作者简介:杜思奇(1998-),男,硕士研究生,研究方向为水声技术与应用
参考文献:
[1] NEILSEN T B , WESTWOOD E K , UDAGAWA T . Mode function extraction from a VLA using singular value decomposition[J]. The Journal of the Acoustical Society of America, 1997, 101(5): 3025.
[2] NEILSEN T B , WESTWOOD E K . Extraction of acoustic normal mode depth functions using vertical line array data[J]. Journal of the Acoustical Society of America, 2002, 111(2): 748.
[3] 杨怡青. 短垂直阵简正波分解新方法的研究及其在声源定位中的应用[D]. 中国科学院声学研究所, 1994.
[4] YANG T C. A method of range and depth estimation by modal decomposition[J]. Journal of the Acoustical Society of America, 1987, 82(5): 1736-1745.
[5] YANG T C. Effectiveness of mode filtering: A comparison of matched-field and matched-mode processing[J]. The Journal of the Acoustical Society of America, 1990, 87(5): 2072-2084.
[6] 张德明, 李整林, 张仁和. 基于自适应时频分析的海底参数反演[J]. 声学学报, 2005, 30(5): 415-419.
[7] 李宁, 韩东, 张浩, 等. 基于时频分布图相似度匹配的水下声源定位方法[J]. 舰船电子工程, 2023(11): 184-188.
[8] LU LC, MA L. Analysis of waveguide time-frequency based on Warping transform[J]. Acta Physica Sinica, 2015, 64(2): 297–302.
[9] 牛海强, 张仁和, 李整林. 典型浅海波导中的warping变换[J]. 声学技术, 2013, 32(S1): 65-66.
[10] LU L C, MA L. 基于Warping变换的波导时频分析[J]. Acta Physica Sinica, 2015, 64(2): 297-302.
[11] 梁玉权, 周士弘, 宫在晓, 等. 水平阵信号压缩感知用于简正波分离[J]. 声学学报, 2020, 45(5): 609-624.
[12] GAO D Z, WANG N, WANG H Z. A dedispersion transform for sound propagation in shallow water waveguide[J]. Journal of Computational Acoustics, 2010, 18(3): 245-257.
[13] 郭晓乐, 杨坤德, 马远良, 等. 一种基于简正波模态消频散变换的声源距离深度估计方法[J]. 物理学报, 2016, 65(21): 213-222.
[14] 祝捍皓, 朱军, 郑广学, 等. 一种浅海声简正波近场分离方法[J]. 声学学报, 2019, 44(1): 39-48.
[15] 魏尚飞, 韩东, 杨美娇, 等. 基于模态滤波的水下声源深度估计方法[J]. 电声技术, 2021, 45(8): 9-17.