Spectral estimation - What is new? What is next?
- Author(s)
- Jean-Baptiste Tary, Roberto Henry Herrera, Jiajun Han, Mirko van der Baan
- Abstract
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(s)
- Department of Meteorology and Geophysics
- External organisation(s)
- University of Alberta
- Journal
- Reviews of Geophysics
- Volume
- 52
- Pages
- 723-749
- No. of pages
- 27
- DOI
- https://doi.org/10.1002/2014RG000461
- Publication date
- 12-2014
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 105106 Geodynamics, 105122 Seismic, 105102 General geophysics
- Keywords
- ASJC Scopus subject areas
- Geophysics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/spectral-estimation--what-is-new-what-is-next(b6163248-c18e-4db9-b95d-b1cbf428e28f).html