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Communication Dans Un Congrès Année : 2017

Polarization spectrogram of bivariate signals

Résumé

Bivariate signals are commonly processed with the usual Fourier transform, using methods such as the rotary spectrum analysis. We show that bivariate signals can be efficiently processed using the Quaternion Fourier transform. A bivariate counterpart of the analytic signal is introduced, the quaternion embedding of a complex signal. It leads to identify natural parameters describing polarization properties, amplitude and phase of the signal. The properties of the quaternion short-term Fourier transform are studied and the polarization spectrogram is introduced. A synthetic example illustrates the relevance of the proposed approach.
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Dates et versions

hal-01655120 , version 1 (18-01-2018)

Identifiants

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Julien Flamant, Pierre Chainais, Nicolas Le Bihan. Polarization spectrogram of bivariate signals. ICASSP 2017 - IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, Mar 2017, New Orleans, United States. ⟨10.1109/ICASSP.2017.7952905⟩. ⟨hal-01655120⟩
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