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Application of Bicoherence Analysis in Study of Wave Interactions in Space Plasma

Abstract : A spectral analysis at the second order (power spectrum) loses the phase information among the different Fourier components. To retain this information, the bispectrum (third order) and/or the bicoherence (normalized bispectrum) are calculated. Application to simulated data, shows the dependence of the bispectrum to amplitudes of involved waves and of the bicoherence to signal-to-noise ratio. Bicoherence technique is applied in the analysis of harmonics produced by an electronic receiver, as well as in the investigation of phase coherence between a ground-transmitter signal, a natural ELF emission near the proton gyrofrequency, and the sidebands around the carrier. Strong arguments are provided that the sidebands are generated by a parametric interaction between the transmitter signal and the ELF emission.
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Dominique Lagoutte, François Lefeuvre, J. Hanasz. Application of Bicoherence Analysis in Study of Wave Interactions in Space Plasma. Journal of Geophysical Research Space Physics, American Geophysical Union/Wiley, 1989, 94 (A1), pp.435-442. ⟨10.1029/JA094iA01p00435⟩. ⟨insu-02880211⟩

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