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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Online Access: | https://doi.org/10.5194/npg-18-643-2011 https://npg.copernicus.org/articles/18/643/2011/ |
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ftcopernicus:oai:publications.copernicus.org:npg11288 2023-05-15T15:00:07+02:00 New significance test methods for Fourier analysis of geophysical time series Zhang, Z. Moore, J. 2018-01-15 application/pdf https://doi.org/10.5194/npg-18-643-2011 https://npg.copernicus.org/articles/18/643/2011/ eng eng doi:10.5194/npg-18-643-2011 https://npg.copernicus.org/articles/18/643/2011/ eISSN: 1607-7946 Text 2018 ftcopernicus https://doi.org/10.5194/npg-18-643-2011 2020-07-20T16:26:01Z 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. Text Arctic Copernicus Publications: E-Journals Arctic Nonlinear Processes in Geophysics 18 5 643 652 |
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Open Polar |
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Copernicus Publications: E-Journals |
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ftcopernicus |
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English |
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 |
Text |
author |
Zhang, Z. Moore, J. |
spellingShingle |
Zhang, Z. Moore, J. New significance test methods for Fourier analysis of geophysical time series |
author_facet |
Zhang, Z. Moore, J. |
author_sort |
Zhang, Z. |
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 |
publishDate |
2018 |
url |
https://doi.org/10.5194/npg-18-643-2011 https://npg.copernicus.org/articles/18/643/2011/ |
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Arctic |
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Arctic |
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Arctic |
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Arctic |
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eISSN: 1607-7946 |
op_relation |
doi:10.5194/npg-18-643-2011 https://npg.copernicus.org/articles/18/643/2011/ |
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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