爆破振动信号双线性变换的二次型时频分析
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摘要
为提高爆破振动信号特征分析的精度,利用双线性变换的二次型方法研究了爆破振动信号的时频特征。首先,扼要介绍了Fourier分析、短时Fourier、小波分析的特点。其次,介绍了双线性变换的二次型时频分析方法及其能量分布函数。再次,研究了振动信号时频分布的重排技术。最后,基于MATALB6.5平台得出了铜山口矿一实测爆破振动波形的WVD,SPWVD,RSPWVD时频分布图。结果表明,双线性变换的二次型时频表示,克服了短时Fourier变换频率分辨率低和小波变换是基于位置和尺度变换的缺点,是一种更加直观、合理、时频分辨率更高的信号时频表示方法;平滑伪仿射Wigner-Ville分布在把握信号的时频全局方面有明显优势;重排平滑伪Wigner-Ville分布能提高信号的时频聚集性,可用于获取爆破振动信号的主频信息。
To improve the precision of blasting vibration signal(BVS)characteristic analysis,quadratic time-frequency distribution analysis was used to study the time-frequency characteristics of blasting vibration signal,a short-time non-stationary random signal.The characteristics of Fourier,short Fourier and wavelet transformations were introduced briefly.Quadratic time-frequency distribution analysis method based on bilinear transformation and its energy distribution functions were illustrated.The reassignment of blasting vibration time-frequency distribution was studied.The time-frequency distribution graphs of Wigner-Ville distribution(WVD),smoothing pseudo Wigner-Ville distribution(SPWVD)and reassigned smoothing pseudo Wigner-Ville distribution(RSPWVD)were obtained.The results show that quadratic time-frequency distribution analysis based on bilinear transformation is a straighter and more reasonable transformation and can give more detailed and more accurate information when using the method to process BVS due to its higher resolution than that of short Fourier transformation and no necessity to consider the situation and size in transformation.It is also demonstrated that SPWVD is good in analyzing whole time-frequency characteristics of BVS and RSPWD can improve time-frequency clustering property of BVS and can be used to obtain main frequency information of BVS.
To improve the precision of blasting vibration signal(BVS)characteristic analysis,quadratic time-frequency distribution analysis was used to study the time-frequency characteristics of blasting vibration signal,a short-time non-stationary random signal.The characteristics of Fourier,short Fourier and wavelet transformations were introduced briefly.Quadratic time-frequency distribution analysis method based on bilinear transformation and its energy distribution functions were illustrated.The reassignment of blasting vibration time-frequency distribution was studied.The time-frequency distribution graphs of Wigner-Ville distribution(WVD),smoothing pseudo Wigner-Ville distribution(SPWVD)and reassigned smoothing pseudo Wigner-Ville distribution(RSPWVD)were obtained.The results show that quadratic time-frequency distribution analysis based on bilinear transformation is a straighter and more reasonable transformation and can give more detailed and more accurate information when using the method to process BVS due to its higher resolution than that of short Fourier transformation and no necessity to consider the situation and size in transformation.It is also demonstrated that SPWVD is good in analyzing whole time-frequency characteristics of BVS and RSPWD can improve time-frequency clustering property of BVS and can be used to obtain main frequency information of BVS.
引文
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[11]nder Uysal,Ercan Arpaz,Mehmet Berber.Studies on the effect of burden width on blast-induced vibration in open-pit mines[J].Environmental Geology,2007,53(3):643—650.
[2]周春华,龙源,晏俊伟,等.基于WTMM的爆破振动信号奇异性分析[J].振动与冲击,2007,26(1):108—111.
[3]凌同华,李夕兵,陈文胜.基于小波分析的爆破地震效应评估[J].振动与冲击,2007,26(2):124—127.
[4]晏俊伟,龙源,方向,等.基于小波包变换的爆破地震波时频特征提取及分析[J].振动与冲击,2007,26(4):25—29.
[5]林大超,施惠基,白春华,等.基于小波变换的爆破振动时频特征分析[J].岩石力学与工程学报,2004,23(1):101—106.
[6]陈寿如,李雁翎,谢圣权.露天采场台阶干扰降震爆破技术试验研究[J].湖南科技大学学报(自然科学版),2004,19(2):10—13.
[7]Lu Y,Hao H,Ma G,et al.Simulation of structural response under high-frequency ground excitation[J].Earth-quake En-gineering&Structural Dynamics,2001,30(2):307—325.
[8]Kim D S,Lee J S.Propagation and attenuation characteristics of various ground vibration[J].Soil Dynamics and Earth-quake Engineering,2000,19(1):115—126.
[9]凌同华,李夕兵.用小波变换识别微差爆破中的实际延迟时间[J].湖南科技大学学报(自然科学版),2004,19(2):21—23.
[10]史秀志.爆破振动信号时频分析与爆破振动特征参量和危害预测研究[D].长沙:中南大学,2007.
[11]nder Uysal,Ercan Arpaz,Mehmet Berber.Studies on the effect of burden width on blast-induced vibration in open-pit mines[J].Environmental Geology,2007,53(3):643—650.
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