分形分析与核爆地震模式识别
|
摘要
本文对地下核爆炸和天然地震所产生的地震波信号进行了处理和分析,发现时域地震波信号具有统计自仿射分形特征,但用对数功率谱求得的分维数D不适合作模式识别的特征参数.对时域地震波信号进行小波分解后,各分解尺度的信号"能量"与尺度有关,同时发现,精细结构信号能量均出现—峰值,据此求得的两类参数可以作为核爆地震模式识别的特征量,且识别结果较好.
In this paper, based on the processing and analysis of seismic signals originated from underground nuclear explosion and natural earthquake, it is illustrated that the seismic signals in time domain possess the characteristics of statistical self-affine fractal, whilst the fractal dimension D yielded from logarithmic power spectrum does not serve as effective feature for seismic pattern recognition. Moreover, it is found that the signal " energy " at each scale of wavelet decomposition relates closely to the scale, and that an apex appeared on the " energy spectrum " of detail signal, hence, two kinds of features advocated are very likely to be utilized in seismic pattern recognition applications. Procvided recognition results show the great improvement and excellent performance achieved by the proposed methodologies of feature extraction and selection.
In this paper, based on the processing and analysis of seismic signals originated from underground nuclear explosion and natural earthquake, it is illustrated that the seismic signals in time domain possess the characteristics of statistical self-affine fractal, whilst the fractal dimension D yielded from logarithmic power spectrum does not serve as effective feature for seismic pattern recognition. Moreover, it is found that the signal " energy " at each scale of wavelet decomposition relates closely to the scale, and that an apex appeared on the " energy spectrum " of detail signal, hence, two kinds of features advocated are very likely to be utilized in seismic pattern recognition applications. Procvided recognition results show the great improvement and excellent performance achieved by the proposed methodologies of feature extraction and selection.
引文
[1] M.巴特.地球物理学中的谱分析(郑治真等译),北京:地震出版社,1978
[2] 李后强等.分形理论的哲学发轫.成都:四川大学出版社,1993
[3] Mandelbrot B B. Fractals: Form, Chance and Dimension. San Francisco: Freeman, 1977
[4] Mandelbrot B B. The Fractal Geometry of Nature, San Francisco: Freenman, 1983
[5] Jens Feder. Fractals, Plenum Preas, 1988
[6] Falconer K. Fractal Geometry, Mathematical Foundations and Applications. John Wiley & Sons, 1990
[7] Turcott D L,陈颙等译.分形与混沌-在地质学和地球物理学中的应用,北京:地震出版社,1993
[8] Kaye B H,徐新阳等译.分形漫步.长春:东北大学出版社,1994
[9] 刘代志.区域重磁场的分维计算研究.In:有色金属科学技术进展,长沙:中南工业大学出版社,1994,57-63
[10] 刘代志.盆地多源地球物理信息复合与仿射分形计算.中南工业大学学报,1995,26(1) :1-6
[11] Chui C K. Wavelets: A Tutorial in Theory and Applications. Academic Press, New York, 1992
[12] Daubechies I. Ten Lectures on Wavelets. Capital City Press, 1992
[13] 刘贵忠,邸双亮.小波分析及其应用.西安:西安电子科技大学出版社,1992
[14] 崔锦泰(程正兴译).小波分析导论.西安:西安交通大学出版社,1995
[15] 秦前清,杨宗凯.实用小波分析.西安:西安电子科技大学出版社,1994
[16] 郑治真.波谱分析基础.北京:地震出版社,1979
[17] 吴忠良等.核爆炸地震学概要.北京:地震出版社,1994
[18] 刘代志等.核爆地震模式识别系统研究.第二炮兵工程学院学报,1995,9(4) :1-6
[19] [日]高安秀树(沈步明等译).分数维.北京:地震出版社,1994
[20] 吴敏金.分形信息导论.上海:上海科学技术文献出版社,1994
[21] Hans R. Schepers, et al. Four Methods to Estimate the Fractal Dimension from Self-Affine Signals. IEEE Engineering in Medicine and Biology, 1992, 57-64
[2] 李后强等.分形理论的哲学发轫.成都:四川大学出版社,1993
[3] Mandelbrot B B. Fractals: Form, Chance and Dimension. San Francisco: Freeman, 1977
[4] Mandelbrot B B. The Fractal Geometry of Nature, San Francisco: Freenman, 1983
[5] Jens Feder. Fractals, Plenum Preas, 1988
[6] Falconer K. Fractal Geometry, Mathematical Foundations and Applications. John Wiley & Sons, 1990
[7] Turcott D L,陈颙等译.分形与混沌-在地质学和地球物理学中的应用,北京:地震出版社,1993
[8] Kaye B H,徐新阳等译.分形漫步.长春:东北大学出版社,1994
[9] 刘代志.区域重磁场的分维计算研究.In:有色金属科学技术进展,长沙:中南工业大学出版社,1994,57-63
[10] 刘代志.盆地多源地球物理信息复合与仿射分形计算.中南工业大学学报,1995,26(1) :1-6
[11] Chui C K. Wavelets: A Tutorial in Theory and Applications. Academic Press, New York, 1992
[12] Daubechies I. Ten Lectures on Wavelets. Capital City Press, 1992
[13] 刘贵忠,邸双亮.小波分析及其应用.西安:西安电子科技大学出版社,1992
[14] 崔锦泰(程正兴译).小波分析导论.西安:西安交通大学出版社,1995
[15] 秦前清,杨宗凯.实用小波分析.西安:西安电子科技大学出版社,1994
[16] 郑治真.波谱分析基础.北京:地震出版社,1979
[17] 吴忠良等.核爆炸地震学概要.北京:地震出版社,1994
[18] 刘代志等.核爆地震模式识别系统研究.第二炮兵工程学院学报,1995,9(4) :1-6
[19] [日]高安秀树(沈步明等译).分数维.北京:地震出版社,1994
[20] 吴敏金.分形信息导论.上海:上海科学技术文献出版社,1994
[21] Hans R. Schepers, et al. Four Methods to Estimate the Fractal Dimension from Self-Affine Signals. IEEE Engineering in Medicine and Biology, 1992, 57-64
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心