WaverideR

Extracting Signals from Wavelet Spectra

CRAN Package

The continuous wavelet transform enables the observation of transient/non-stationary cyclicity in time-series. The goal of cyclostratigraphic studies is to define frequency/period in the depth/time domain. By conducting the continuous wavelet transform on cyclostratigraphic data series one can observe and extract cyclic signals/signatures from signals. These results can then be visualized and interpreted enabling one to identify/interpret cyclicity in the geological record, which can be used to construct astrochronological age-models and identify and interpret cyclicity in past and present climate systems. The 'WaverideR' R package builds upon existing literature and existing codebase. The list of articles which are relevant can be grouped in four subjects; cyclostratigraphic data analysis,example data sets,the (continuous) wavelet transform and astronomical solutions. References for the cyclostratigraphic data analysis articles are: Stephen Meyers (2019) doi:10.1016/j.earscirev.2018.11.015. Mingsong Li, Linda Hinnov, Lee Kump (2019) doi:10.1016/j.cageo.2019.02.011 Stephen Meyers (2012)doi:10.1029/2012PA002307 Mingsong Li, Lee R. Kump, Linda A. Hinnov, Michael E. Mann (2018) doi:10.1016/j.epsl.2018.08.041. Wouters, S., Crucifix, M., Sinnesael, M., Da Silva, A.C., Zeeden, C., Zivanovic, M., Boulvain, F., Devleeschouwer, X. (2022) doi:10.1016/j.earscirev.2021.103894. Wouters, S., Da Silva, A.-C., Boulvain, F., and Devleeschouwer, X. (2021) doi:10.32614/RJ-2021-039. Huang, Norden E., Zhaohua Wu, Steven R. Long, Kenneth C. Arnold, Xianyao Chen, and Karin Blank (2009) doi:10.1142/S1793536909000096. Cleveland, W. S. (1979)doi:10.1080/01621459.1979.10481038 Hurvich, C.M., Simonoff, J.S., and Tsai, C.L. (1998) doi:10.1111/1467-9868.00125, Golub, G., Heath, M. and Wahba, G. (1979) doi:10.2307/1268518. References for the example data articles are: Damien Pas, Linda Hinnov, James E. (Jed) Day, Kenneth Kodama, Matthias Sinnesael, Wei Liu (2018) doi:10.1016/j.epsl.2018.02.010. Steinhilber, Friedhelm, Abreu, Jacksiel, Beer, Juerg , Brunner, Irene, Christl, Marcus, Fischer, Hubertus, HeikkilA, U., Kubik, Peter, Mann, Mathias, Mccracken, K. , Miller, Heinrich, Miyahara, Hiroko, Oerter, Hans , Wilhelms, Frank. (2012 doi:10.1073/pnas.1118965109. Christian Zeeden, Frederik Hilgen, Thomas Westerhold, Lucas Lourens, Ursula Röhl, Torsten Bickert (2013) doi:10.1016/j.palaeo.2012.11.009. References for the (continuous) wavelet transform articles are: Morlet, Jean, Georges Arens, Eliane Fourgeau, and Dominique Glard (1982a) doi:10.1190/1.1441328. J. Morlet, G. Arens, E. Fourgeau, D. Giard (1982b) doi:10.1190/1.1441329. Torrence, C., and G. P. Compo (1998)https://paos.colorado.edu/research/wavelets/bams_79_01_0061.pdf, Gouhier TC, Grinsted A, Simko V (2021) https://github.com/tgouhier/biwavelet. Angi Roesch and Harald Schmidbauer (2018) https://CRAN.R-project.org/package=WaveletComp. Russell, Brian, and Jiajun Han (2016)https://www.crewes.org/Documents/ResearchReports/2016/CRR201668.pdf. Gabor, Dennis (1946) http://genesis.eecg.toronto.edu/gabor1946.pdf. J. Laskar, P. Robutel, F. Joutel, M. Gastineau, A.C.M. Correia, and B. Levrard, B. (2004) doi:10.1051/0004-6361:20041335. Laskar, J., Fienga, A., Gastineau, M., Manche, H. (2011a) doi:10.1051/0004-6361/201116836. References for the astronomical solutions articles are: Laskar, J., Gastineau, M., Delisle, J.-B., Farres, A., Fienga, A. (2011b doi:10.1051/0004-6361/201117504. J. Laskar (2019) doi:10.1016/B978-0-12-824360-2.00004-8. Zeebe, Richard E (2017) doi:10.3847/1538-3881/aa8cce. Zeebe, R. E. and Lourens, L. J. (2019) doi:10.1016/j.epsl.2022.117595. Richard E. Zeebe Lucas J. Lourens (2022) doi:10.1126/science.aax0612.


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