Preprints
https://doi.org/10.5194/gmd-2024-207
https://doi.org/10.5194/gmd-2024-207
Submitted as: model description paper
 | 
14 Jan 2025
Submitted as: model description paper |  | 14 Jan 2025
Status: a revised version of this preprint was accepted for the journal GMD and is expected to appear here in due course.

JuWavelet – Continuous Wavelet Transform and Stockwell-transform for gravity wave analysis

Jörn Ungermann and Robert Reichert

Abstract. This paper describes the Python package JuWavelet, which implements the continuous wavelet transform using the Morlet wavelet, which is a popular tool in the Geosciences to analyse wave-like phenomena. It closes a gap in available software, which are typically focused on discrete transforms or lower dimensions than offered here. The code implements the transform in 1-D, 2-D, and 3-D. In particular, not only the analysis, but also the synthesis from a (modified) decomposition are available. It also provides a consistent implementation for both the original continuous wavelet transform and the derivative Stockwell transform popular in atmospheric gravity wave analysis for all dimensions.

This paper documents the mathematics behind the implementation and offers several examples to showcase the capabilities of the software including the code to generate the shown figures.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.
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Jörn Ungermann and Robert Reichert

Status: closed

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Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
Jörn Ungermann and Robert Reichert

Model code and software

JuWavelet Jörn Ungermann https://doi.org/10.5281/zenodo.14051582

Jörn Ungermann and Robert Reichert

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Short summary
This paper describes the software package JuWavelet, which implements the continuous wavelet transform, which is a popular tool in the Geosciences to analyse wave-like phenomena. The code implements the transform in 1-D, 2-D, and 3-D for both analysis and synthesis, which closes a gap in available open-source software. The mathematics behind the transformation are given and several examples showcase the capabilities of the software.
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