Spectral estimation - What is new? What is next?

Autor(en)
Jean-Baptiste Tary, Roberto Henry Herrera, Jiajun Han, Mirko van der Baan
Abstrakt

Spectral estimation, and corresponding time-frequency representation for nonstationary signals, is a cornerstone in geophysical signal processing and interpretation. The last 10-15 years have seen the development of many new high-resolution decompositions that are often fundamentally different from Fourier and wavelet transforms. These conventional techniques, like the short-time Fourier transform and the continuous wavelet transform, show some limitations in terms of resolution (localization) due to the trade-off between time and frequency localizations and smearing due to the finite size of the time series of their template. Well-known techniques, like autoregressive methods and basis pursuit, and recently developed techniques, such as empirical mode decomposition and the synchrosqueezing transform, can achieve higher time-frequency localization due to reduced spectral smearing and leakage. We first review the theory of various established and novel techniques, pointing out their assumptions, adaptability, and expected time-frequency localization. We illustrate their performances on a provided collection of benchmark signals, including a laughing voice, a volcano tremor, a microseismic event, and a global earthquake, with the intention to provide a fair comparison of the pros and cons of each method. Finally, their outcomes are discussed and possible avenues for improvements are proposed.

Organisation(en)
Institut für Meteorologie und Geophysik
Externe Organisation(en)
University of Alberta
Journal
Reviews of Geophysics
Band
52
Seiten
723-749
Anzahl der Seiten
27
DOI
https://doi.org/10.1002/2014RG000461
Publikationsdatum
12-2014
Peer-reviewed
Ja
ÖFOS 2012
105106 Geodynamik, 105122 Seismik, 105102 Allgemeine Geophysik
Schlagwörter
ASJC Scopus Sachgebiete
Geophysics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/spectral-estimation--what-is-new-what-is-next(b6163248-c18e-4db9-b95d-b1cbf428e28f).html