• The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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## Section: New Results

### A symbolic approach for signal demodulation and application to gearbox vibration analysis

This work is made in collaboration with Axel Barrau and Elisa Hubert (Safran Tech), and Roudy Dagher (Research Engineer, Inria Chile). The problem under study, which reduces to a certain signal factorization problem, was shown by Barrau et. al. to be equivalent to a Frobenius norm minimization problem. Starting from this optimization problem, we investigate the use of computer algebra methods to compute explicit solutions for the original problem. Along the way, we exhibit interesting algebraic and geometric properties of the underlying polynomial system. A paper is currently in development to summarize these results.