JuWavelet – continuous wavelet transform and <i>S</i> transform for wave analysis

Ungermann, Jörn; Reichert, Robert

doi:10.5194/gmd-18-8613-2025

Articles | Volume 18, issue 22

https://doi.org/10.5194/gmd-18-8613-2025

© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/gmd-18-8613-2025

© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 18, issue 22

Model description paper

|

17 Nov 2025

Model description paper |

| 17 Nov 2025

JuWavelet – continuous wavelet transform and S transform for wave analysis

Jörn Ungermann and Robert Reichert

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Month	HTML	PDF	XML	Total
Jan 2025	75	15	2	92
Feb 2025	26	9	3	38
Mar 2025	6	3	1	10
Apr 2025	24	5	3	32
May 2025	56	18	3	77
Jun 2025	33	13	6	52
Jul 2025	40	20	2	62
Aug 2025	69	24	1	94
Sep 2025	294	13	1	308
Oct 2025	37	20	2	59
Nov 2025	342	57	16	415
Dec 2025	177	72	14	263
Jan 2026	190	47	16	253
Feb 2026	185	37	4	226
Mar 2026	273	47	7	327
Apr 2026	242	75	18	335
May 2026	183	39	11	233
Jun 2026	35	9	3	47

Cumulative views and downloads (calculated since 14 Jan 2025)

Month	HTML	PDF	XML	Total
Jan 2025	75	15	2	92
Feb 2025	26	9	3	38
Mar 2025	6	3	1	10
Apr 2025	24	5	3	32
May 2025	56	18	3	77
Jun 2025	33	13	6	52
Jul 2025	40	20	2	62
Aug 2025	69	24	1	94
Sep 2025	294	13	1	308
Oct 2025	37	20	2	59
Nov 2025	342	57	16	415
Dec 2025	177	72	14	263
Jan 2026	190	47	16	253
Feb 2026	185	37	4	226
Mar 2026	273	47	7	327
Apr 2026	242	75	18	335
May 2026	183	39	11	233
Jun 2026	35	9	3	47

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Total article views: 2,923 (including HTML, PDF, and XML) Thereof 2,872 with geography defined and 51 with unknown origin.

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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.