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Improved signi¯cance testing of wavelet power spectrum near data boundaries as applied to polar research
College of Global Change and Earth System Science, Beijing Normal University,.
Uppsala University, Disciplinary Domain of Science and Technology, Earth Sciences, Department of Earth Sciences, LUVAL. (Glaciologi)
2011 (English)In: Advances in polar science, ISSN 1674-9928, Vol. 22, no 3, 192-198 p.Article in journal (Refereed) Published
Abstract [en]


When one applies the wavelet transform to analyze ¯nite-length time series, discontinuities at the data

boundaries will distort its wavelet power spectrum in some regions which are de¯ned as a wavelength-dependent

cone of in°uence (COI). In the COI, signi¯cance tests are unreliable. At the same time, as many time series are

short and noisy, the COI is a serious limitation in wavelet analysis of time series. In this paper, we will give a

method to reduce boundary e®ects and discover signi¯cant frequencies in the COI. After that, we will apply our

method to analyze Greenland winter temperature and Baltic sea ice. The new method makes use of line removal

and odd extension of the time series. This causes the derivative of the series to be continuous (unlike the case

for other padding methods). This will give the most reasonable padding methodology if the time series being

analyzed has red noise characteristics

Place, publisher, year, edition, pages
2011. Vol. 22, no 3, 192-198 p.
National Category
Physical Geography
Research subject
Earth Science with specialization in Physical Geography
URN: urn:nbn:se:uu:diva-164907DOI: 10.3724/SP.J.1085.2011.00192OAI: oai:DiVA.org:uu-164907DiVA: diva2:470856
Available from: 2011-12-30 Created: 2011-12-30 Last updated: 2012-12-17Bibliographically approved

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