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

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.