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[推荐]S-Transform: Time-frequency decomposition
#1
blueocean
发表于 03-20-2006 - 07:50
精准.石油.论坛 forum.petro-china.com
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本主题是专题讨论"时频分析及其在地震勘探中的应用"的一部分,欢迎访问该专题讨论的主贴:
http://forum.petro-c...?showtopic=4585
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In 1996, Stockwell published one paper about s-transform. S-transform can be considered as pseudo-continous wavelet transform. The normal CWT is transformed to (time, scale) domain, while S-transform is transformed to (time, frequency) domain. On the other hand, s-transform is very similar to Short Window Fourier Transform. The difference is the frequency dependent window length. The kernel basis of s-transform is scaled and frequency dependent Morlet wavelet.
Here is the Stockwell's webiste:
http://www.cora.nwra.com/~stockwel/
There're a bunch of information about s-transform.
The first s-tranform paper is:
http://www.cora.nwra...cs/loc_ieee.pdf
The matlab codes are:
http://www.cora.nwra...rm/m_files/st.m
http://www.cora.nwra...m_files/stest.m
Contribution by Robert G. Stockwell
精准.石油.论坛 forum.petro-china.com本主题是专题讨论"时频分析及其在地震勘探中的应用"的一部分,欢迎访问该专题讨论的主贴:
http://forum.petro-c...?showtopic=4585
----------------------------------------------------------------------------------------------------------
In 1996, Stockwell published one paper about s-transform. S-transform can be considered as pseudo-continous wavelet transform. The normal CWT is transformed to (time, scale) domain, while S-transform is transformed to (time, frequency) domain. On the other hand, s-transform is very similar to Short Window Fourier Transform. The difference is the frequency dependent window length. The kernel basis of s-transform is scaled and frequency dependent Morlet wavelet.
Here is the Stockwell's webiste:
http://www.cora.nwra.com/~stockwel/
There're a bunch of information about s-transform.
The first s-tranform paper is:
http://www.cora.nwra...cs/loc_ieee.pdf
The matlab codes are:
http://www.cora.nwra...rm/m_files/st.m
http://www.cora.nwra...m_files/stest.m
Contribution by Robert G. Stockwell
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来源: 精准石油论坛 - 推进信息共享,提升科技水平
#2
blueocean
发表于 08-02-2006 - 12:36
精准.石油.论坛 forum.petro-china.com
附加文件
-
loc_ieee.pdf (951.7K)
下载次数: 35
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来源: 精准石油论坛 - 推进信息共享,提升科技水平
#5
jacklove
发表于 11-16-2006 - 12:36
精准.石油.论坛 forum.petro-china.com
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来源: 精准石油论坛 - 推进信息共享,提升科技水平
#11
余依宁
发表于 01-06-2011 - 11:31
精准.石油.论坛 forum.petro-china.com
引用框(blueocean @ 03-20-2006 - 07:50)
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本主题是专题讨论"时频分析及其在地震勘探中的应用"的一部分,欢迎访问该专题讨论的主贴:
http://forum.petro-c...?showtopic=4585
----------------------------------------------------------------------------------------------------------
<span style='font-size:14pt;line-height:100%'>In 1996, Stockwell published one paper about s-transform. S-transform can be considered as pseudo-continous wavelet transform. The normal CWT is transformed to (time, scale) domain, while S-transform is transformed to (time, frequency) domain. On the other hand, s-transform is very similar to Short Window Fourier Transform. The difference is the frequency dependent window length. The kernel basis of s-transform is scaled and frequency dependent Morlet wavelet. </span>
<span style='font-size:14pt;line-height:100%'>Here is the Stockwell's webiste:
http://www.cora.nwra.com/~stockwel/
There're a bunch of information about s-transform.
The first s-tranform paper is:
http://www.cora.nwra...cs/loc_ieee.pdf
The matlab codes are:
http://www.cora.nwra...rm/m_files/st.m
http://www.cora.nwra...m_files/stest.m</span>
<span style='font-size:14pt;line-height:100%'>Contribution by Robert G. Stockwell</span>
本主题是专题讨论"时频分析及其在地震勘探中的应用"的一部分,欢迎访问该专题讨论的主贴:
http://forum.petro-c...?showtopic=4585
----------------------------------------------------------------------------------------------------------
<span style='font-size:14pt;line-height:100%'>In 1996, Stockwell published one paper about s-transform. S-transform can be considered as pseudo-continous wavelet transform. The normal CWT is transformed to (time, scale) domain, while S-transform is transformed to (time, frequency) domain. On the other hand, s-transform is very similar to Short Window Fourier Transform. The difference is the frequency dependent window length. The kernel basis of s-transform is scaled and frequency dependent Morlet wavelet. </span>
<span style='font-size:14pt;line-height:100%'>Here is the Stockwell's webiste:
http://www.cora.nwra.com/~stockwel/
There're a bunch of information about s-transform.
The first s-tranform paper is:
http://www.cora.nwra...cs/loc_ieee.pdf
The matlab codes are:
http://www.cora.nwra...rm/m_files/st.m
http://www.cora.nwra...m_files/stest.m</span>
<span style='font-size:14pt;line-height:100%'>Contribution by Robert G. Stockwell</span>
请问楼主在上面的s变换中1.f = (minfreq + [0:spe_nelements-1]*freqsamplingrate)/(samplingrate*length(timeseries))是为什么?为什么要除以(samplingrate*length(timeseries))呢?
2 .ind = [0:n-1]';
r = polyfit(ind,timeseries,2);
fit = polyval(r,ind) ;
timeseries = timeseries - fit;
为什么要进行上面处理而不直接对timeseries进行处理
求指导
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来源: 精准石油论坛 - 推进信息共享,提升科技水平
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