An introduction to wavelet analysis with applications to vegetation time series

Abstract

Wavelets are relatively new mathematical tools that have proven to be quite useful for analyzing time series and spatial data. We provide a basic introduction to wavelet analysis which concentrates on their interpretation in the context of analyzing time series. We illustrate the use of wavelet analysis on time series related to vegetation coverage in the Arctic region.

Abbreviations

CWT:

Continuous Wavelet Transform

DWT:

Discrete Wavelet Transform

FD:

Fractionally Differenced

MODWT:

Maximal Overlap Discrete Wavelet Transform

MRA:

Multiresolution Analysis

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Correspondence to D. B. Percival.

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Percival, D.B., Wang, M. & Overland, J.E. An introduction to wavelet analysis with applications to vegetation time series. COMMUNITY ECOLOGY 5, 19–30 (2004). https://doi.org/10.1556/ComEc.5.2004.1.3

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Keywords

  • Discrete wavelet transform
  • Köppen classification
  • Multiresolution analysis
  • Time series analysis