The Best Manifold Theory in the Frequency Domain of Time Dependent Functions an Application to: Seismic Engineering
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional Autónoma de México
2005
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| author | J.L. Urrutia Galicia |
| author_facet | J.L. Urrutia Galicia |
| contents | The Best Manifold Theory in the Frequency Domain of Time Dependent Functions an Application to: Seismic Engineering J.L. Urrutia Galicia Ingeniería Signal analysis phase spectrum Fourier analysis amplitude spectrum best manifold solution The paper presents a novel civil engineering interpretation of the Fourier spectrum and phase of aseismic record. When the concept of linear manifolds is accounted for, we can generate clearinterpretations of the maximum projections of a seismic event. Choosing the greatest ordinates of agiven spectrum is equivalent to the selection of the frequency space where the maximal projections arerecorded. The use of these maximum ordinates generates the original seismic record with great accuracyand with a minimum of data. This fact clearly indicates that most of the information about a timedependent signal is encoded in this best manifold. This fact is relevant, as it will clearly reduce theprocessing time, (depending on every record) up to 90%. 2005 artículo científico 1405-7743 https://www.redalyc.org/articulo.oa?id=40460302 en http://www.redalyc.org/revista.oa?id=404 Ingeniería. Investigación y Tecnología application/pdf Universidad Nacional Autónoma de México Ingeniería. Investigación y Tecnología (México) Num.3 Vol.VI |
| format | Artículo científico |
| id | redalyc_40460302 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | The Best Manifold Theory in the Frequency Domain of Time Dependent Functions an Application to: Seismic Engineering J.L. Urrutia Galicia Ingeniería Signal analysis phase spectrum Fourier analysis amplitude spectrum best manifold solution The Best Manifold Theory in the Frequency Domain of Time Dependent Functions an Application to: Seismic Engineering J.L. Urrutia Galicia Ingeniería Signal analysis phase spectrum Fourier analysis amplitude spectrum best manifold solution The paper presents a novel civil engineering interpretation of the Fourier spectrum and phase of aseismic record. When the concept of linear manifolds is accounted for, we can generate clearinterpretations of the maximum projections of a seismic event. Choosing the greatest ordinates of agiven spectrum is equivalent to the selection of the frequency space where the maximal projections arerecorded. The use of these maximum ordinates generates the original seismic record with great accuracyand with a minimum of data. This fact clearly indicates that most of the information about a timedependent signal is encoded in this best manifold. This fact is relevant, as it will clearly reduce theprocessing time, (depending on every record) up to 90%. 2005 artículo científico 1405-7743 https://www.redalyc.org/articulo.oa?id=40460302 en http://www.redalyc.org/revista.oa?id=404 Ingeniería. Investigación y Tecnología application/pdf Universidad Nacional Autónoma de México Ingeniería. Investigación y Tecnología (México) Num.3 Vol.VI |
| title | The Best Manifold Theory in the Frequency Domain of Time Dependent Functions an Application to: Seismic Engineering |
| topic | Ingeniería Signal analysis phase spectrum Fourier analysis amplitude spectrum best manifold solution |
| url | https://www.redalyc.org/articulo.oa?id=40460302 |