Overall Objectives
Research Program
Application Domains
Highlights of the Year
New Software and Platforms
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
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Section: New Results

Graph & Signal Processing

Participants : Sarra Ben Alaya, Éric Fleury, Paulo Gonçalves Andrade.

Isometric graph shift operator]

Following up the PhD work of Benjamin Girault [57], we demonstrated in [26] that the isometric graph shift operator we originally proposed, does have a vertex-domain interpretation as a diffusion operator using a polynomial approximation. We showed that its impulse response exhibits an exponential decay of the energy way from the impulse, demonstrating localisation preservation. Additionally, we formalised several techniques that can be used to study other graph signal operators.