Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview
Summary. Discrete wavelet transforms (DWTs) are mathematical tools that are useful for analyzing geophysical time series. The basic idea is to transform a time series into coefficients describing how the series varies over particular scales. One version of the DWT is the maximal overlap DWT (MODWT)....
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.588.6382 2023-05-15T14:07:41+02:00 Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview Donald B. Percival The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.6382 http://faculty.washington.edu/dbp/PDFFILES/Perc08a.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.6382 http://faculty.washington.edu/dbp/PDFFILES/Perc08a.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://faculty.washington.edu/dbp/PDFFILES/Perc08a.pdf text ftciteseerx 2016-01-08T13:22:37Z Summary. Discrete wavelet transforms (DWTs) are mathematical tools that are useful for analyzing geophysical time series. The basic idea is to transform a time series into coefficients describing how the series varies over particular scales. One version of the DWT is the maximal overlap DWT (MODWT). The MODWT leads to two basic decompositions. The first is a scale-based analysis of variance known as the wavelet variance, and the second is a multiresolution analysis that reexpresses a time series as the sum of several new series, each of which is associated with a particular scale. Both decompositions are illustrated through examples involving Arctic sea ice and an Antarctic ice core. A second version of the DWT is the orthonormal DWT (ODWT), which can be extracted from the MODWT by subsampling. The relative strengths and weaknesses of the MODWT, the ODWT and the continuous wavelet transform are discussed. 1 Text Antarc* Antarctic Arctic ice core Sea ice Unknown Antarctic Arctic |
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English |
description |
Summary. Discrete wavelet transforms (DWTs) are mathematical tools that are useful for analyzing geophysical time series. The basic idea is to transform a time series into coefficients describing how the series varies over particular scales. One version of the DWT is the maximal overlap DWT (MODWT). The MODWT leads to two basic decompositions. The first is a scale-based analysis of variance known as the wavelet variance, and the second is a multiresolution analysis that reexpresses a time series as the sum of several new series, each of which is associated with a particular scale. Both decompositions are illustrated through examples involving Arctic sea ice and an Antarctic ice core. A second version of the DWT is the orthonormal DWT (ODWT), which can be extracted from the MODWT by subsampling. The relative strengths and weaknesses of the MODWT, the ODWT and the continuous wavelet transform are discussed. 1 |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Donald B. Percival |
spellingShingle |
Donald B. Percival Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview |
author_facet |
Donald B. Percival |
author_sort |
Donald B. Percival |
title |
Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview |
title_short |
Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview |
title_full |
Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview |
title_fullStr |
Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview |
title_full_unstemmed |
Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview |
title_sort |
analysis of geophysical time series using discrete wavelet transforms: an overview |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.6382 http://faculty.washington.edu/dbp/PDFFILES/Perc08a.pdf |
geographic |
Antarctic Arctic |
geographic_facet |
Antarctic Arctic |
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Antarc* Antarctic Arctic ice core Sea ice |
genre_facet |
Antarc* Antarctic Arctic ice core Sea ice |
op_source |
http://faculty.washington.edu/dbp/PDFFILES/Perc08a.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.6382 http://faculty.washington.edu/dbp/PDFFILES/Perc08a.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766279713196605440 |