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...

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Bibliographic Details
Main Authors: Z. Zhang, J. C. Moore
Format: Article
Language:English
Published: Copernicus Publications 2012-12-01
Series:Annales Geophysicae
Online Access:https://www.ann-geophys.net/30/1743/2012/angeo-30-1743-2012.pdf
Description
Summary: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.
ISSN:0992-7689
1432-0576