UMR 5672

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A polarization framework for bivariate signal processing

Julien Flamant (Laboratoire CRIStAL, Centre de Recherche en Informatique, Signal et Automatique de Lille, Centrale Lille)
When Feb 23, 2018
from 11:00 AM to 12:00 PM
Where room 116
Attendees Julien Flamant
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Bivariate signals appear in a broad range of applications: polarized waveforms in seismology and optics, current velocities in oceanography, etc. Formally, bivariate signals are 2D vector time series. Existing approaches for bivariate signal processing do not provide a straightforward description of the signal in terms of its polarization properties. For this purpose we introduce a new and generic framework for processing bivariate signals. It is based on a tailored quaternion Fourier transform enabling the generalization of usual signal processing quantities such as spectral densities, analytic signals or spectrograms. This new framework re-establishes a clear interpretability in terms of polarization attributes.
In this talk, I will introduce the main features of this approach and illustrate its usefulness on synthetic and real-world data from geophysics and gravitational wave physics.

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