低信噪比下激波信号奇点检测方法
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摘要
针对低信噪比下的激波信号检测问题,利用激波信号奇点在小波变换中的路径传递特征及信号奇点小波系数与噪声小波系数明显幅度差异,提出了一种基于信号奇点的连续小波变换检测算法。仿真实验结果表明,在恒定虚警概率下,该方法检测性能相较于能量检测器能提升约3 dB;实际数据实验结果说明,该方法在-3 dB信噪比下检测性能明显优于能量检测器和传统小波多尺度积检测器。
A continuous wavelet transform detection algorithm based on singularity information is proposed, which is used to detect shock wave signal. It is shown that prior information regarding the singularity of the signal to be detected is efficiently incorporated into the detection problem formulation. Based on the generalized likelihood ratio test, the theoretical analysis and experimental analysis of the detection performance of the algorithm are carried out.The theoretical analysis and simulation experiments show that the proposed detection algorithm can effectively improve the detection performance under low SNR.
A continuous wavelet transform detection algorithm based on singularity information is proposed, which is used to detect shock wave signal. It is shown that prior information regarding the singularity of the signal to be detected is efficiently incorporated into the detection problem formulation. Based on the generalized likelihood ratio test, the theoretical analysis and experimental analysis of the detection performance of the algorithm are carried out.The theoretical analysis and simulation experiments show that the proposed detection algorithm can effectively improve the detection performance under low SNR.
引文
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2 Stoughton R.Measurements of small-caliber ballistic shock waves in air.The Journal of the Acoustical Society of America,1997;102(2):781-787
3王洪刚,李寅,胡海滨.一种基于弹丸激波的矢量脱靶量算法研究.飞行器测控学报,2008;27(5):86—89
4吴松林,杨杰,林晓东等.声定位系统中的弹道波信号分析及弹道矢量计算.探测与控制学报,2009;31(2):54-58
5 Dagrau F,Renier M,Marchiano R et al.Acoustic shock wave propagation in a heterogeneous medium:A numerical simulation beyond the parabolic approximation.The Journal of the Acoustical Society of America,2011;130(1):20-32
6 Lo K W,Ferguson B G.Localization of small arms fire using acoustic measurements of muzzle blast and/or ballistic shock wave arrivals.The Journal of the Acoustical Society of America,2012;132(5):2997-3017
7 Gallin L J,Renier M,Gaudard E et al.One-way approximation for the simulation of weak shock wave propagation in atmospheric flows.The Journal of the Acoustical Society of America,2014;135(5):2559—2570
8刘德耀,陈志菲,郭心伟,宋卫华,鲍明.基于声学传感网络的弹着点定位系统.弹道学报,2017;29(2):85-89
9 Van Trees H L.Detection,estimation,and modulation theory.John Wiley&Sons,2004
10 Sadler B M,Pham T,Sadler L C.Optimal and waveletbased shock wave detection and estimation.The Journal of the Acoustical Society of America,1998;104(2):955—963
11 Volgyesi P,Balogh G,Nad as A et al.Shooter localization and weapon classification with soldier-wearable networked sensors.Proceedings of the 5th International Conference on Mobile Systems,Applications and Services.ACM,2007:113—126
12 Lédeczi A,Nádas A,V(o|¨)lgyesi P et al.Countersniper system for urban warfare.ACM Transactions on Sensor Networks(TOSAN),2005;1(2):153-177
13 Frisch M,Messer H.The use of the wavelet transform in the detection of an unknown transient signal.IEEE Transactions on Information Theory,1992;38(2):892—897
14 Nenadic Z,Burdick J W.Spike detection using the continuous wavelet treansform.IEEE Transcactions on Biomedical Engineering.2005;52(1):74—87
15 Friedlander B,Porat B.Detection of transient signals by the Gabor representation.IEEE Transactions on Acoustics,Speech,and Signal Processing,1989;37(2):169—180
16 Haupt J,Nowak R.Compressive sampling for signal detection.IEEE International Conference on Acoustics,Speech and Signal Processing.2007;3:1509—1512
17 Davenport M A,Boufounos P T,Wakin M B et al.Signal processing with compressive measurements.IEEE Journal of Selected Topics in Signal Processing,2010;4(2):445-460
18李军,侯朝焕.基于多尺度特征的匹配滤波处理.声学学报,2004;29(4):313-318
19徐景峰,韩树平,舒象兰,马鑫,董永峰.非平稳噪声背景下瞬态声脉冲检测新方法.声学学报,2016;41(3):362-370
20 Whitham G B.The behaviour of supersonic flow past a body of revolution,far from the axis.Proceedings of the Royal Society of London A:Mathematical,Physical and Engineering Sciences.The Royal Society,1950;201(1064):89-109
21 Mallat S,Hwang W L.Singularity detection and processing with wavelets.IEEE Transactions on Information Theory,1992;38(2):617-643
22 Mallat S.A wavelet tour of signal processing:the sparse way.Academic Press,2008
23 Daubechies I.Ten lectures on wavelets.Society for industrial and applied mathematics,1992
24 Frisch M,Messer H.Transient signal detection using prior information in the likelihood ratio test.IEEE Transactions on Signal Processing,1993;41(6):2177-2192
25 Wang Z,Willett P K.All-purpose and plug-in power-law detectors for transient signals.IEEE Transactions on Signal Processing,2001;49(11):2454—2466
26 Kay S M.Fundamentals of statistical signal processing.Prentice Hall PTR,1993
27 Scharf L L,Mcwhorter L T.Adaptive matched subspace detectors and adaptive coherence estimators.Conference Record of the Thirtieth Asilomar Conference on Signals,Systems and Computers.1996;2:1114-1117
2 Stoughton R.Measurements of small-caliber ballistic shock waves in air.The Journal of the Acoustical Society of America,1997;102(2):781-787
3王洪刚,李寅,胡海滨.一种基于弹丸激波的矢量脱靶量算法研究.飞行器测控学报,2008;27(5):86—89
4吴松林,杨杰,林晓东等.声定位系统中的弹道波信号分析及弹道矢量计算.探测与控制学报,2009;31(2):54-58
5 Dagrau F,Renier M,Marchiano R et al.Acoustic shock wave propagation in a heterogeneous medium:A numerical simulation beyond the parabolic approximation.The Journal of the Acoustical Society of America,2011;130(1):20-32
6 Lo K W,Ferguson B G.Localization of small arms fire using acoustic measurements of muzzle blast and/or ballistic shock wave arrivals.The Journal of the Acoustical Society of America,2012;132(5):2997-3017
7 Gallin L J,Renier M,Gaudard E et al.One-way approximation for the simulation of weak shock wave propagation in atmospheric flows.The Journal of the Acoustical Society of America,2014;135(5):2559—2570
8刘德耀,陈志菲,郭心伟,宋卫华,鲍明.基于声学传感网络的弹着点定位系统.弹道学报,2017;29(2):85-89
9 Van Trees H L.Detection,estimation,and modulation theory.John Wiley&Sons,2004
10 Sadler B M,Pham T,Sadler L C.Optimal and waveletbased shock wave detection and estimation.The Journal of the Acoustical Society of America,1998;104(2):955—963
11 Volgyesi P,Balogh G,Nad as A et al.Shooter localization and weapon classification with soldier-wearable networked sensors.Proceedings of the 5th International Conference on Mobile Systems,Applications and Services.ACM,2007:113—126
12 Lédeczi A,Nádas A,V(o|¨)lgyesi P et al.Countersniper system for urban warfare.ACM Transactions on Sensor Networks(TOSAN),2005;1(2):153-177
13 Frisch M,Messer H.The use of the wavelet transform in the detection of an unknown transient signal.IEEE Transactions on Information Theory,1992;38(2):892—897
14 Nenadic Z,Burdick J W.Spike detection using the continuous wavelet treansform.IEEE Transcactions on Biomedical Engineering.2005;52(1):74—87
15 Friedlander B,Porat B.Detection of transient signals by the Gabor representation.IEEE Transactions on Acoustics,Speech,and Signal Processing,1989;37(2):169—180
16 Haupt J,Nowak R.Compressive sampling for signal detection.IEEE International Conference on Acoustics,Speech and Signal Processing.2007;3:1509—1512
17 Davenport M A,Boufounos P T,Wakin M B et al.Signal processing with compressive measurements.IEEE Journal of Selected Topics in Signal Processing,2010;4(2):445-460
18李军,侯朝焕.基于多尺度特征的匹配滤波处理.声学学报,2004;29(4):313-318
19徐景峰,韩树平,舒象兰,马鑫,董永峰.非平稳噪声背景下瞬态声脉冲检测新方法.声学学报,2016;41(3):362-370
20 Whitham G B.The behaviour of supersonic flow past a body of revolution,far from the axis.Proceedings of the Royal Society of London A:Mathematical,Physical and Engineering Sciences.The Royal Society,1950;201(1064):89-109
21 Mallat S,Hwang W L.Singularity detection and processing with wavelets.IEEE Transactions on Information Theory,1992;38(2):617-643
22 Mallat S.A wavelet tour of signal processing:the sparse way.Academic Press,2008
23 Daubechies I.Ten lectures on wavelets.Society for industrial and applied mathematics,1992
24 Frisch M,Messer H.Transient signal detection using prior information in the likelihood ratio test.IEEE Transactions on Signal Processing,1993;41(6):2177-2192
25 Wang Z,Willett P K.All-purpose and plug-in power-law detectors for transient signals.IEEE Transactions on Signal Processing,2001;49(11):2454—2466
26 Kay S M.Fundamentals of statistical signal processing.Prentice Hall PTR,1993
27 Scharf L L,Mcwhorter L T.Adaptive matched subspace detectors and adaptive coherence estimators.Conference Record of the Thirtieth Asilomar Conference on Signals,Systems and Computers.1996;2:1114-1117