Comment on "Significance tests for the wavelet power and the wavelet power spectrum" by Ge (2007)
- 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
Abstract. 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.