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This paper proposes a fully automated method for recovering the location of a
source and medium parameters in shallow waters. The scenario involves an
unknown source emitting low-frequency sound waves in a shallow water
environment, and a single hydrophone recording the signal. Firstly, theoretical
tools are introduced to understand the robustness of the warping method and to
propose and analyze an automated way to separate the modal components of the
recorded signal. Secondly, using the spectrogram of each modal component, the
paper investigates the best way to recover the modal travel times and provides
stability estimates. Finally, a penalized minimization algorithm is presented
to recover estimates of the source location and medium parameters. The proposed
method is tested on experimental data of right whale gunshot and combustive
sound sources, demonstrating its effectiveness in real-world scenarios.