基于Hilbert-Huang变换的水下爆炸声信号分析
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摘要
为了研究水下爆炸声信号的特征,进行了水下爆炸试验,并基于Hilbert-Huang变换(HHT)法对试验数据进行处理,得到了水下爆炸声信号的Hilbert谱。根据Hilbert谱对水下爆炸声信号进行分析,并对能量局部极值点的形成机理进行了探讨。结果表明,Hilbert谱能够清晰地表示出水下爆炸声信号的频率分布规律和能量的时频特性,局部极值点的形成是由于声线轨迹和海底相互作用的结果。
A test was conducted to study the characteristics of underwater explosion acoustic signals.The test data are processed in this paper with the Hilbert-Huang transform(HHT) method to obtain the Hilbert spectrum.According to the Hilbert spectrum,the underwater explosion acoustic signals are analyzed,and the formation mechanism of local energy extreme point is discussed.The results indicate that the Hilbert spectrum can show the frequency distribution and the time-frequency characteristic of energy of the underwater explosion acoustic signals.Local energy extreme point is formed due to interaction of acoustic ray trajectories and sea bottom.
A test was conducted to study the characteristics of underwater explosion acoustic signals.The test data are processed in this paper with the Hilbert-Huang transform(HHT) method to obtain the Hilbert spectrum.According to the Hilbert spectrum,the underwater explosion acoustic signals are analyzed,and the formation mechanism of local energy extreme point is discussed.The results indicate that the Hilbert spectrum can show the frequency distribution and the time-frequency characteristic of energy of the underwater explosion acoustic signals.Local energy extreme point is formed due to interaction of acoustic ray trajectories and sea bottom.
引文
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[9]石春香,罗奇峰.时程信号的Hilbert-Huang变换与小波分析[J].地震学报,2003,25(4):398-405.Shi Chun-xiang,Luo Qi-fen.Hilbert-Huang Transform and Wavelet Analysis of Time History Signal[J].Acta Seis-mologica Sinica,2003,25(4):398-405.
[10]Huang N E,Shen Z,Long S R,et al.The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Non-stationary Time Series Analysis[J].Proceeding of the Royal Society A,1998,454(1971):899-995.
[11]Huang N E,Shen Z,Long S R,et al.A New View of Non-linear Water Waves:the Hilbert Spectrum[C]//Annual Review of Fluid Mechanics,1999,31:417-457.
[12]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.Huang Da-ji,Zhao Jin-ping,SU Ji-lan.Practical Implementa-tion of the Hilbert-Huang Transform Algorithm[J].Acta Ocea-nologica Sinica,2003,25(1):1-11.
[2]尤里克.工程水声原理[M].洪申,译.北京:国防工业出版社,1972.
[3]Urick R J.Backscattering of Explosive Sound from theDeep-Sea Bed[J].The Journal of the Acoustical Society ofAmerica,1962,34(11):1721-1724.
[4]Marsh H W.Underwater Sound Propagation in the ArcticOcean[J].The Journal of the Acoustical Society of America,1962,35(4):552-563.
[5]尚德江,张仁和.新型宽带爆炸声源及海底参数反演[J].声学技术,2003,22(z2):158-160.Shang De-jiang,Zhang Ren-he.Geoacoustic Inversion by Using the New Kind of Broadband Bomb Signals[J].Tech-nical Acoustics,2003,22(z2):158-160.
[6]Peter G Cable,Thomas W Yudichak,Yevgenity Dorfman,et al.On Shallow-Water Bottom Reverberation Frequency De-pendence[J].IEEE Journal of Oceanic Engineering,2006,31(1):145-155.
[7]赵梅,胡长青.由爆炸声源及传播损失反演海底声学参数[J].声学技术,2009,28(2):104-108.Zhao Mei,Hu Chang-qing.Sea-bed Acoustic Parameters In-version by Explosive Sources and Transmission Loss[J].Technical Acoustics,2009,28(2):104-108.
[8]吴成,廖莎莎,李华新,等.基于Matlab方法水下爆炸声信号的特征提取及其分析[J].北京理工大学学报,2008,28(10):851-855.Wu Cheng,Liao Sha-sha,Li Hua-xin,et al.Extraction and Analysis of the Features of Underwater Explosion Signal Based on the Malab Method[J].Transactions of Beijing Institute of Technology,2008,28(10):851-855.
[9]石春香,罗奇峰.时程信号的Hilbert-Huang变换与小波分析[J].地震学报,2003,25(4):398-405.Shi Chun-xiang,Luo Qi-fen.Hilbert-Huang Transform and Wavelet Analysis of Time History Signal[J].Acta Seis-mologica Sinica,2003,25(4):398-405.
[10]Huang N E,Shen Z,Long S R,et al.The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Non-stationary Time Series Analysis[J].Proceeding of the Royal Society A,1998,454(1971):899-995.
[11]Huang N E,Shen Z,Long S R,et al.A New View of Non-linear Water Waves:the Hilbert Spectrum[C]//Annual Review of Fluid Mechanics,1999,31:417-457.
[12]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.Huang Da-ji,Zhao Jin-ping,SU Ji-lan.Practical Implementa-tion of the Hilbert-Huang Transform Algorithm[J].Acta Ocea-nologica Sinica,2003,25(1):1-11.
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