计算尺度函数和小波函数中心频率的GUI及其应用
|
摘要
在数字信号的时频分析中,确定小波和小波包最佳分解层或最大分解层的问题中,均会涉及到中心频率。鉴于在软件Matlab中只能计算小波函数的中心频率,不能计算尺度函数的中心频率,而且也未见涉及该问题的文献,故基于功率谱计算尺度函数和小波函数中心频率的方法,编写了计算尺度函数和小波函数中心频率的人机交互软件。该软件可以方便快捷地计算尺度函数和小波函数的中心频率。实例计算结果表明,方法和程序是有效且可行的。
The center-frequency is an important parameter in time-frequency analysis of digital signals and in determinating the maximum wavelet and wavelet packets decomposition level. Because only for a wavelet functions the center-frequency can be computed in Matlab,but not for the scale function, in this paper, GUI program for computing the center-frequency of the scale and wavelet functions are developed based on power spectrum. Examples show that the method and program are effective.
The center-frequency is an important parameter in time-frequency analysis of digital signals and in determinating the maximum wavelet and wavelet packets decomposition level. Because only for a wavelet functions the center-frequency can be computed in Matlab,but not for the scale function, in this paper, GUI program for computing the center-frequency of the scale and wavelet functions are developed based on power spectrum. Examples show that the method and program are effective.
引文
[1]飞思科技产品研发中心.Matlab6.5——辅助小波分析与应用[M].北京:电子工业出版社,2003:253.Fecit Research Center for Scientific and Technical Product.Matlab6.5:Auxiliary wavelet analysis and applications[M].Beijing:Publishing House of Electronic Industry,2003:253.
[2]陈遵德.储层地震属性优化方法[M].北京:石油工业出版社,1998:20-22.CHEN Zunde.Optimization method of seismic attributeabout storage stratum[M].Beijing:Petroleum Industrial Press,1998:20-22.
[3]QUAN Y L,HARRIS J M.Seismic attenuation tomography using the frequency shift method[J].Geophysics,1997,62(3):895-905.
[4]云关厚,丁伟.地震子波频率浅析[J].石油物探,2005,44(6):578-581.YUN Guanhou,DING Wei.Preliminary analysis of seismic wavelet frequency[J].Geophysical Prospecting for Petroleum,2005,44(6):578-581.
[5]张乐平,朱志年,雷长海,等.心电信号的小波变换识别方法[J].计算机应用与软件,2004,21(6):79-80.ZHANG Leping,ZHU Zhinian,LEI Changhai,et al.An identification method of ECG using wavelet transform[J].Computer Applications and Software,2004,21(6):79-80.
[6]徐长发,李国宽.实用小波方法[M].武汉:华中科技大学出版社,2001:47-49.XU Changfa,LI Guokuan.Practical wavelet method[M].Wuhan:Huazhong University of Science and Technology Press,2001,47-49.
[7]彭玉华.小波变换和工程应用[M].北京:科学出版社,1999:15-16.PENG Yuhua.Wavelet transform and engineering application[M].Beijing:Science Press,1999:15-16.
[8]杨福生.小波变换的工程分析与应用[M].北京:科学出版社,2000:1-4.YANG Fusheng.Engineering analysis and applications of wavelet transform[M].Beijing:Science Press,2000:1-4.
[9]崔锦泰.小波分析导论[M].西安:西安交通大学出版社,1995:86-87.CUI Jintai.Introduction to wavelet analysis[M].Xi'an:Xi'an Jiaotong University Press,1995:86-87.
[2]陈遵德.储层地震属性优化方法[M].北京:石油工业出版社,1998:20-22.CHEN Zunde.Optimization method of seismic attributeabout storage stratum[M].Beijing:Petroleum Industrial Press,1998:20-22.
[3]QUAN Y L,HARRIS J M.Seismic attenuation tomography using the frequency shift method[J].Geophysics,1997,62(3):895-905.
[4]云关厚,丁伟.地震子波频率浅析[J].石油物探,2005,44(6):578-581.YUN Guanhou,DING Wei.Preliminary analysis of seismic wavelet frequency[J].Geophysical Prospecting for Petroleum,2005,44(6):578-581.
[5]张乐平,朱志年,雷长海,等.心电信号的小波变换识别方法[J].计算机应用与软件,2004,21(6):79-80.ZHANG Leping,ZHU Zhinian,LEI Changhai,et al.An identification method of ECG using wavelet transform[J].Computer Applications and Software,2004,21(6):79-80.
[6]徐长发,李国宽.实用小波方法[M].武汉:华中科技大学出版社,2001:47-49.XU Changfa,LI Guokuan.Practical wavelet method[M].Wuhan:Huazhong University of Science and Technology Press,2001,47-49.
[7]彭玉华.小波变换和工程应用[M].北京:科学出版社,1999:15-16.PENG Yuhua.Wavelet transform and engineering application[M].Beijing:Science Press,1999:15-16.
[8]杨福生.小波变换的工程分析与应用[M].北京:科学出版社,2000:1-4.YANG Fusheng.Engineering analysis and applications of wavelet transform[M].Beijing:Science Press,2000:1-4.
[9]崔锦泰.小波分析导论[M].西安:西安交通大学出版社,1995:86-87.CUI Jintai.Introduction to wavelet analysis[M].Xi'an:Xi'an Jiaotong University Press,1995:86-87.
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