KIT | KIT-Bibliothek | Impressum | Datenschutz

Geophysical Tutorial : The significance of negative frequencies in Fourier transforms

Hertweck, Thomas ORCID iD icon 1
1 Geophysikalisches Institut (GPI), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):

Negative frequencies play a fundamental role in Fourier transforms, although they are often neglected in practice when displaying spectra of seismic traces. We can study their role quite easily when looking at the relationship of a seismic trace and its analytic counterpart that has no negative frequency components. This analytic trace, comprising the original trace and its Hilbert transform, is well known and used frequently to calculate attributes for seismic interpretation. Using Python code snippets and a simple Ricker wavelet as exemplary seismic signal, this tutorial explores and demonstrates the significance of negative frequencies in both a mathematical and a graphical way.


Zugehörige Institution(en) am KIT Geophysikalisches Institut (GPI)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 03.2022
Sprache Englisch
Identifikator ISSN: 1070-485X, 1938-3789
KITopen-ID: 1000143389
Erschienen in The Leading Edge
Verlag Society of Exploration Geophysicists (SEG)
Band 41
Heft 3
Seiten 204–208
Nachgewiesen in Dimensions
Scopus
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page