Articles | Volume 30, issue 12
Ann. Geophys., 30, 1743–1750, 2012
https://doi.org/10.5194/angeo-30-1743-2012
Ann. Geophys., 30, 1743–1750, 2012
https://doi.org/10.5194/angeo-30-1743-2012

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
  • 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.