几种时频分析方法的对比分析
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摘要
地震勘探信号属于非平稳信号,进行时频分析时常用到短时傅立叶变换、连续小波变换、Wigner-Ville分布和平滑伪Wigner-Ville分布等时频分析方法,但这些方法存在时频分辨率不够高或交叉项干扰的问题。文章介绍了一种目前在地震勘探领域应用相对较少的方法——谱重排法。在阐明各时频分析方法原理的基础上,对合成地震信号进行试算及对比分析,阐述了各时频分析方法的优缺点。就文章提出的各时频分析方法,提出了谱重排法在地震信号时频分析中的应用优势。
The seismic signal is a non-stationary signal, the time-frequency analysis method is often used by short time Fourier transform, continuous wavelet transform, Wigner-Ville distribution smooth pseudo Wigner-Ville distribution and so on. But there are problems that the time-frequency resolution is not high enough or the cross term has interference in using these methods. This paper introduces a method called spectrum reassignment that used relatively less in the field of seismic exploration. On the basis of the analysis of time-frequency theory, this paper analyses and compares the synthetic seismic signal test, expounds the advantages and disadvantages of each time-frequency analysis method. Aimed at the proposed various time-frequency analysis methods, the application advantage of spectrum reassignment in the time-frequency analysis is proposed.
The seismic signal is a non-stationary signal, the time-frequency analysis method is often used by short time Fourier transform, continuous wavelet transform, Wigner-Ville distribution smooth pseudo Wigner-Ville distribution and so on. But there are problems that the time-frequency resolution is not high enough or the cross term has interference in using these methods. This paper introduces a method called spectrum reassignment that used relatively less in the field of seismic exploration. On the basis of the analysis of time-frequency theory, this paper analyses and compares the synthetic seismic signal test, expounds the advantages and disadvantages of each time-frequency analysis method. Aimed at the proposed various time-frequency analysis methods, the application advantage of spectrum reassignment in the time-frequency analysis is proposed.
引文
[1]张贤达,保铮.非平稳信号分析与处理[M].北京:国防工业出版社,1998.
[2]Potter R K,Kopp G A,Kopp H G.Visible speech[M].New York:Dover Publications,Inc.,1947.
[3]Gabor D.Theory of communication.Part 1:The analysis of information[J].Electrical Engineers Part III:Radio and Communication Engineering,Journal of the Institution of,1946,93(26):429-441.
[4]Gabor D.Theory of communication.Part 2:The analysis of hearing[J].Electrical Engineers-Part III:Radio and Communication Engineering,Journal of the Institution of,1946,93(26):442-445.
[5]Mallat S G.A theory for multiresolution signal decomposition:wavelet representation[J].Pattern Analysis and Machine Intelligence,IEEE Transactions on,1989,11(7):674-693.
[6]Sinha S,Routh P S,Anno P D,et al.Spectral decomposition of seismic data with continuous-wavelet transform[J].Geophysics,2005,70(6):17-25.
[7]Morlet J,Arens G,Fourgeau E,et al.Wave propagation and sampling theory—Part I:Complex signal and scattering in multilayered media[J].Geophysics,1982,47(2):203-221.
[8]张晔.信号时频分析及应用[M].哈尔滨工业大学出版社,2006.
[9]Kodera K,De Villedary C,Gendrin R.A new method for the numerical analysis of non-stationary signals[J].Physics of the Earth and Planetary Interiors,1976,12(2-3):142-150.
[10]Auger F,Flandrin P.Improving the readability of timefrequency and time-scale representations by the reassignment method[J].Signal Processing,IEEE Transactions on,1995,43(5):1068-1089.
[11]Flandrin P,Auger F,Chassande-Mottin E.Time-frequency reassignment:from principles to algorithms[J].Applications in Time-frequency Signal Processing,2003:179-203.
[12]Han L,Sacchi M D,Han L.Spectral decomposition and de-noising via time-frequency and space-wavenumber reassignment[J].Geophysical Prospecting,2014,62:244-257.
[2]Potter R K,Kopp G A,Kopp H G.Visible speech[M].New York:Dover Publications,Inc.,1947.
[3]Gabor D.Theory of communication.Part 1:The analysis of information[J].Electrical Engineers Part III:Radio and Communication Engineering,Journal of the Institution of,1946,93(26):429-441.
[4]Gabor D.Theory of communication.Part 2:The analysis of hearing[J].Electrical Engineers-Part III:Radio and Communication Engineering,Journal of the Institution of,1946,93(26):442-445.
[5]Mallat S G.A theory for multiresolution signal decomposition:wavelet representation[J].Pattern Analysis and Machine Intelligence,IEEE Transactions on,1989,11(7):674-693.
[6]Sinha S,Routh P S,Anno P D,et al.Spectral decomposition of seismic data with continuous-wavelet transform[J].Geophysics,2005,70(6):17-25.
[7]Morlet J,Arens G,Fourgeau E,et al.Wave propagation and sampling theory—Part I:Complex signal and scattering in multilayered media[J].Geophysics,1982,47(2):203-221.
[8]张晔.信号时频分析及应用[M].哈尔滨工业大学出版社,2006.
[9]Kodera K,De Villedary C,Gendrin R.A new method for the numerical analysis of non-stationary signals[J].Physics of the Earth and Planetary Interiors,1976,12(2-3):142-150.
[10]Auger F,Flandrin P.Improving the readability of timefrequency and time-scale representations by the reassignment method[J].Signal Processing,IEEE Transactions on,1995,43(5):1068-1089.
[11]Flandrin P,Auger F,Chassande-Mottin E.Time-frequency reassignment:from principles to algorithms[J].Applications in Time-frequency Signal Processing,2003:179-203.
[12]Han L,Sacchi M D,Han L.Spectral decomposition and de-noising via time-frequency and space-wavenumber reassignment[J].Geophysical Prospecting,2014,62:244-257.
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