New significance test methods for Fourier analysis of geophysical time series
When one applies the discrete Fourier transform to analyze finite-length time series, discontinuities at the data boundaries will distort its Fourier power spectrum. In this paper, based on a rigid statistics framework, we present a new significance test method which can extract the intrinsic featur...
Published in: | Nonlinear Processes in Geophysics |
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ftdoajarticles:oai:doaj.org/article:a304f69228094d6ba26e015b9d59e661 2023-05-15T15:01:21+02:00 New significance test methods for Fourier analysis of geophysical time series Z. Zhang J. Moore 2011-09-01T00:00:00Z https://doi.org/10.5194/npg-18-643-2011 https://doaj.org/article/a304f69228094d6ba26e015b9d59e661 EN eng Copernicus Publications http://www.nonlin-processes-geophys.net/18/643/2011/npg-18-643-2011.pdf https://doaj.org/toc/1023-5809 https://doaj.org/toc/1607-7946 doi:10.5194/npg-18-643-2011 1023-5809 1607-7946 https://doaj.org/article/a304f69228094d6ba26e015b9d59e661 Nonlinear Processes in Geophysics, Vol 18, Iss 5, Pp 643-652 (2011) Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 article 2011 ftdoajarticles https://doi.org/10.5194/npg-18-643-2011 2022-12-31T12:38:26Z When one applies the discrete Fourier transform to analyze finite-length time series, discontinuities at the data boundaries will distort its Fourier power spectrum. In this paper, based on a rigid statistics framework, we present a new significance test method which can extract the intrinsic feature of a geophysical time series very well. We show the difference in significance level compared with traditional Fourier tests by analyzing the Arctic Oscillation (AO) and the Nino3.4 time series. In the AO, we find significant peaks at about 2.8, 4.3, and 5.7 yr periods and in Nino3.4 at about 12 yr period in tests against red noise. These peaks are not significant in traditional tests. Article in Journal/Newspaper Arctic Directory of Open Access Journals: DOAJ Articles Arctic Nonlinear Processes in Geophysics 18 5 643 652 |
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Directory of Open Access Journals: DOAJ Articles |
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ftdoajarticles |
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English |
topic |
Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 |
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Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 Z. Zhang J. Moore New significance test methods for Fourier analysis of geophysical time series |
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Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 |
description |
When one applies the discrete Fourier transform to analyze finite-length time series, discontinuities at the data boundaries will distort its Fourier power spectrum. In this paper, based on a rigid statistics framework, we present a new significance test method which can extract the intrinsic feature of a geophysical time series very well. We show the difference in significance level compared with traditional Fourier tests by analyzing the Arctic Oscillation (AO) and the Nino3.4 time series. In the AO, we find significant peaks at about 2.8, 4.3, and 5.7 yr periods and in Nino3.4 at about 12 yr period in tests against red noise. These peaks are not significant in traditional tests. |
format |
Article in Journal/Newspaper |
author |
Z. Zhang J. Moore |
author_facet |
Z. Zhang J. Moore |
author_sort |
Z. Zhang |
title |
New significance test methods for Fourier analysis of geophysical time series |
title_short |
New significance test methods for Fourier analysis of geophysical time series |
title_full |
New significance test methods for Fourier analysis of geophysical time series |
title_fullStr |
New significance test methods for Fourier analysis of geophysical time series |
title_full_unstemmed |
New significance test methods for Fourier analysis of geophysical time series |
title_sort |
new significance test methods for fourier analysis of geophysical time series |
publisher |
Copernicus Publications |
publishDate |
2011 |
url |
https://doi.org/10.5194/npg-18-643-2011 https://doaj.org/article/a304f69228094d6ba26e015b9d59e661 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Nonlinear Processes in Geophysics, Vol 18, Iss 5, Pp 643-652 (2011) |
op_relation |
http://www.nonlin-processes-geophys.net/18/643/2011/npg-18-643-2011.pdf https://doaj.org/toc/1023-5809 https://doaj.org/toc/1607-7946 doi:10.5194/npg-18-643-2011 1023-5809 1607-7946 https://doaj.org/article/a304f69228094d6ba26e015b9d59e661 |
op_doi |
https://doi.org/10.5194/npg-18-643-2011 |
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Nonlinear Processes in Geophysics |
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18 |
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5 |
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643 |
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652 |
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