R Script to do the Wavelet Transform analysis

This script was used from an algorithm developed in the R statistics project version 4.0.2, to do the Wavelet Transform analysis, and the following library was used:

library(biwavelet)
Package ‘biwavelet’
October 12, 2022
Type Package
Title Conduct Univariate and Bivariate Wavelet Analyses
Version 0.20.21
Date 2021-05-24
Author Tarik C. Gouhier, Aslak Grinsted, Viliam Simko
Maintainer Tarik C. Gouhier
Description This is a port of the WTC MATLAB package written by Aslak Grinsted
and the wavelet program written by Christopher Torrence and Gibert P.
Compo. This package can be used to perform univariate and bivariate
(cross-wavelet, wavelet coherence, wavelet clustering) analyses.
License GPL (>= 2)
URL https://github.com/tgouhier/biwavelet
BugReports https://github.com/tgouhier/biwavelet/issues

biwavelet-package 3
Author(s)
Tarik C. Gouhier
Maintainer: Tarik C. Gouhier
Code based on WTC MATLAB package written by Aslak Grinsted and the wavelet MATLAB
program written by Christopher Torrence and Gibert P. Compo.

References
Cazelles, B., M. Chavez, D. Berteaux, F. Menard, J. O. Vik, S. Jenouvrier, and N. C. Stenseth. 2008.
Wavelet analysis of ecological time series. Oecologia 156:287-304.
Grinsted, A., J. C. Moore, and S. Jevrejeva. 2004. Application of the cross wavelet transform and
wavelet coherence to geophysical time series. Nonlinear Processes in Geophysics 11:561-566.
Liu, Y., X. San Liang, and R. H. Weisberg. 2007. Rectification of the Bias in the Wavelet Power
Spectrum. Journal of Atmospheric and Oceanic Technology 24:2093-2102.
Rouyer, T., J. M. Fromentin, F. Menard, B. Cazelles, K. Briand, R. Pianet, B. Planque, and N.
C. Stenseth. 2008. Complex interplays among population dynamics, environmental forcing, and
exploitation in fisheries. Proceedings of the National Academy of Sciences 105:5420-5425.
Rouyer, T., J. M. Fromentin, N. C. Stenseth, and B. Cazelles. 2008. Analysing multiple time series
and extending significance testing in wavelet analysis. Marine Ecology Progress Series 359:11-23.
Torrence, C., and G. P. Compo. 1998. A Practical Guide to Wavelet Analysis. Bulletin of the
American Meteorological Society 79:61-78.
Torrence, C., and P. J. Webster. 1998. The annual cycle of persistence in the El Nino/Southern
Oscillation. Quarterly Journal of the Royal Meteorological Society 124:1985-2004.
Veleda, D., R. Montagne, and M. Araujo. 2012. Cross-Wavelet Bias Corrected by Normalizing
Scales. Journal of Atmospheric and Oceanic Technology 29:1401-1408.