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.