ANGEO Communicates
20 Dec 2012
ANGEO Communicates | 20 Dec 2012
Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007)
Z. Zhang1 and J. C. Moore2,3,4
Z. Zhang and J. C. Moore
Z. Zhang1 and J. C. Moore2,3,4
- 1College of Global Change and Earth System Science, Beijing Normal University, Beijing, 100875, China
- 2State Key Laboratory of Earth Surface Processes and Resource Ecology/College of Global Change and Earth System Science, Beijing Normal University, 100875, China
- 3Arctic Centre, University of Lapland, Finland
- 4Department of Earth Sciences, Uppsala University, Sweden
- 1College of Global Change and Earth System Science, Beijing Normal University, Beijing, 100875, China
- 2State Key Laboratory of Earth Surface Processes and Resource Ecology/College of Global Change and Earth System Science, Beijing Normal University, 100875, China
- 3Arctic Centre, University of Lapland, Finland
- 4Department of Earth Sciences, Uppsala University, Sweden
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Received: 28 May 2012 – Revised: 16 Nov 2012 – Accepted: 04 Dec 2012 – Published: 20 Dec 2012
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.
