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Article Dans Une Revue Geophysical Journal International Année : 2016

Statistical redundancy of instantaneous phases: theory and application to the seismic ambient wavefield

Résumé

In order to detect possible signal redundancies in the ambient seismic wavefield, we develop a new method based on pairwise comparisons among a set of synchronous time-series. This approach is based on instantaneous phase coherence statistics. The first and second moments of the pairwise phase coherence distribution are used to characterize the phase randomness. For perfect phase randomness, the theoretical values of the mean and variance are equal to 0 and 1 2/À, respectively. As a consequence, any deviation from these values indicates the presence of a redundant phase in the raw continuous signal. A previously detected micro seismic source in the Gulf of Guinea is used to illustrate one of the possible ways of handling phase coherence statistics. The proposed approach allows us to properly localize this persistent source, and to quantify its contribution to the overall seismic ambient wavefield. The strength of the phase coherence statistics relies in its ability to quantify the redundancy of a given phase among a set of time-series with various useful applications in seismic noise-based studies (tomography and/or source characterization).
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Dates et versions

hal-03146484 , version 1 (19-02-2021)

Identifiants

Citer

Ianis Gaudot, Éric Beucler, A. Mocquet, M Schimmel, Mathieu Le Feuvre. Statistical redundancy of instantaneous phases: theory and application to the seismic ambient wavefield. Geophysical Journal International, 2016, 204 (2), pp.1159-1163. ⟨10.1093/gji/ggv501⟩. ⟨hal-03146484⟩
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