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TitreOn choosing Fourier Transforms for practical geoscience applications
AuteurBoteler, D
SourceInternational Journal of Geosciences vol. 3, 2012 p. 952-959, https://doi.org/10.4236/ijg.2012.325096
Année2012
Séries alt.Secteur des sciences de la Terre, Contribution externe 20120248
Documentpublication en série
Lang.anglais
DOIhttps://doi.org/10.4236/ijg.2012.325096
Mediapapier; en ligne; numérique
Formatspdf
Sujetsméthode de fourier; géomagnétisme; champs géomagnétiques; analyses spectrales; géophysique
Illustrationsflow charts; graphs; plots
ProgrammeTargeted Hazard Assessments in Northern Canada, Géoscience pour la sécurité publique
Résumé(disponible en anglais seulement)
The variety of definitions of Fourier transforms can create confusion for practical applications. This paper examines the choice of formulas for Fourier transforms and determines the appropriate choices for geoscience applications. One set of Discrete Fourier Transforms can be defined that approximate Fourier integrals and provide transforms between sam-pled continuous functions in both domains. For applications involving transforms between a continuous function and a discrete function a second set of Discrete Fourier Transforms is needed with different scaling factors. Two classes of application are presented: those where either form of transforms can be used and those where it is necessary to use a particular transform to obtain the correct results.
GEOSCAN ID291940