Karhunen–Loève spectral analysis in multiresolution decomposition
In this work we develop a method for pinpointing the scales in a multiresolution decomposition where coherent structures appear. A sequence of images yielded from the wavelet multiresolution analysis of seismic signals are analyzed in the Karhunen–Loève ( KL ) space. Using KL decomposition we distin...
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| Veröffentlicht in: | Computational geosciences 2009-06, Vol.13 (2), p.165-170 |
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| creator | Leite, F. E. A. Montagne, Raúl Corso, G. Lucena, L. S. |
| description | In this work we develop a method for pinpointing the scales in a multiresolution decomposition where coherent structures appear. A sequence of images yielded from the wavelet multiresolution analysis of seismic signals are analyzed in the Karhunen–Loève (
KL
) space. Using
KL
decomposition we distinguish two coherent structures in the scale–images: the ground roll and the hyperbolic lines characteristic of geologic layers. Moreover, the
KL
spectrum also points out the high frequency noise. In this way the method allow us to split three energy mode regimes in the data and, as a consequence, to select the relevant geologic information. The method can be extended to other problems where coherent structures need to be recognized. |
| doi_str_mv | 10.1007/s10596-008-9091-0 |
| format | Article |
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KL
) space. Using
KL
decomposition we distinguish two coherent structures in the scale–images: the ground roll and the hyperbolic lines characteristic of geologic layers. Moreover, the
KL
spectrum also points out the high frequency noise. In this way the method allow us to split three energy mode regimes in the data and, as a consequence, to select the relevant geologic information. The method can be extended to other problems where coherent structures need to be recognized.</description><identifier>ISSN: 1420-0597</identifier><identifier>EISSN: 1573-1499</identifier><identifier>DOI: 10.1007/s10596-008-9091-0</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Decomposition ; Earth and Environmental Science ; Earth Sciences ; Geophysics ; Geotechnical Engineering & Applied Earth Sciences ; Hydrogeology ; Mathematical Modeling and Industrial Mathematics ; Oil and gas industry ; Original Paper ; Seismology ; Soil Science & Conservation ; Spectral analysis ; Wavelet transforms</subject><ispartof>Computational geosciences, 2009-06, Vol.13 (2), p.165-170</ispartof><rights>Springer Science+Business Media B.V. 2008</rights><rights>Springer Science+Business Media B.V. 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2610-1a8716d1aadf241708d8e99b0ebbc11ccda7f18d59adc890b02215b5616309b43</citedby><cites>FETCH-LOGICAL-c2610-1a8716d1aadf241708d8e99b0ebbc11ccda7f18d59adc890b02215b5616309b43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10596-008-9091-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10596-008-9091-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Leite, F. E. A.</creatorcontrib><creatorcontrib>Montagne, Raúl</creatorcontrib><creatorcontrib>Corso, G.</creatorcontrib><creatorcontrib>Lucena, L. S.</creatorcontrib><title>Karhunen–Loève spectral analysis in multiresolution decomposition</title><title>Computational geosciences</title><addtitle>Comput Geosci</addtitle><description>In this work we develop a method for pinpointing the scales in a multiresolution decomposition where coherent structures appear. A sequence of images yielded from the wavelet multiresolution analysis of seismic signals are analyzed in the Karhunen–Loève (
KL
) space. Using
KL
decomposition we distinguish two coherent structures in the scale–images: the ground roll and the hyperbolic lines characteristic of geologic layers. Moreover, the
KL
spectrum also points out the high frequency noise. In this way the method allow us to split three energy mode regimes in the data and, as a consequence, to select the relevant geologic information. 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KL
) space. Using
KL
decomposition we distinguish two coherent structures in the scale–images: the ground roll and the hyperbolic lines characteristic of geologic layers. Moreover, the
KL
spectrum also points out the high frequency noise. In this way the method allow us to split three energy mode regimes in the data and, as a consequence, to select the relevant geologic information. The method can be extended to other problems where coherent structures need to be recognized.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10596-008-9091-0</doi><tpages>6</tpages></addata></record> |
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| subjects | Decomposition Earth and Environmental Science Earth Sciences Geophysics Geotechnical Engineering & Applied Earth Sciences Hydrogeology Mathematical Modeling and Industrial Mathematics Oil and gas industry Original Paper Seismology Soil Science & Conservation Spectral analysis Wavelet transforms |
| title | Karhunen–Loève spectral analysis in multiresolution decomposition |
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