Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007)
As the main result in Ge's paper, Ge announced that he proved a formula on the distribution of Morlet wavelet power spectrum of continuous-time Gaussian white noise in a rigorous statistical framework. In this paper, we will show that Ge's formula is wrong and each step of Ge's pr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2012-12-01
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| Series: | Annales Geophysicae |
| Online Access: | https://www.ann-geophys.net/30/1743/2012/angeo-30-1743-2012.pdf |
| _version_ | 1819116231562625024 |
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| author | Z. Zhang J. C. Moore J. C. Moore J. C. Moore |
| author_facet | Z. Zhang J. C. Moore J. C. Moore J. C. Moore |
| author_sort | Z. Zhang |
| collection | DOAJ |
| description | As the main result in Ge's paper, Ge
announced that he proved a formula on the distribution of Morlet
wavelet power spectrum of continuous-time Gaussian white noise in a
rigorous statistical framework. In this paper, we will show that
Ge's formula is wrong and each step of Ge's proof is wrong.
Moreover, we give and prove a correct formula in a rigorous
statistical framework. |
| first_indexed | 2024-12-22T05:13:48Z |
| format | Article |
| id | doaj.art-79de79cae944484b812be359020c8e53 |
| institution | Directory Open Access Journal |
| issn | 0992-7689 1432-0576 |
| language | English |
| last_indexed | 2024-12-22T05:13:48Z |
| publishDate | 2012-12-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Annales Geophysicae |
| spelling | doaj.art-79de79cae944484b812be359020c8e532022-12-21T18:37:55ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762012-12-01301743175010.5194/angeo-30-1743-2012Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007)Z. Zhang0J. C. Moore1J. C. Moore2J. C. Moore3College of Global Change and Earth System Science, Beijing Normal University, Beijing, 100875, ChinaState Key Laboratory of Earth Surface Processes and Resource Ecology/College of Global Change and Earth System Science, Beijing Normal University, 100875, ChinaArctic Centre, University of Lapland, FinlandDepartment of Earth Sciences, Uppsala University, SwedenAs the main result in Ge's paper, Ge announced that he proved a formula on the distribution of Morlet wavelet power spectrum of continuous-time Gaussian white noise in a rigorous statistical framework. In this paper, we will show that Ge's formula is wrong and each step of Ge's proof is wrong. Moreover, we give and prove a correct formula in a rigorous statistical framework.https://www.ann-geophys.net/30/1743/2012/angeo-30-1743-2012.pdf |
| spellingShingle | Z. Zhang J. C. Moore J. C. Moore J. C. Moore Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007) Annales Geophysicae |
| title | Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007) |
| title_full | Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007) |
| title_fullStr | Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007) |
| title_full_unstemmed | Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007) |
| title_short | Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007) |
| title_sort | comment on significance tests for the wavelet power and the wavelet power spectrum by ge 2007 |
| url | https://www.ann-geophys.net/30/1743/2012/angeo-30-1743-2012.pdf |
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