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Algebraic aspects of the exact signal demodulation problem

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Abstract

In this paper we introduce a general class of problems originating from gearbox vibration analysis. Based on a previous work where demodulation was formulated as a matrix approximation problem, we study the specific case applicable to amplitude and phase demodulation. This problem can be rewritten as a polynomial system. Based on algebraic methods such as linear algebra and homological algebra, we focus on the characterization of the problem and solve it in the noise-free case.

Dates and versions

hal-02419824 , version 1 (19-12-2019)

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Elisa Hubert, Yacine Bouzidi, Roudy Dagher, Axel Barrau, Alban Quadrat. Algebraic aspects of the exact signal demodulation problem. SSSC 2019 - 7th IFAC Symposium on Systems Structure and Control, Sep 2019, Sinaia, Romania. ⟨10.1016/j.ifacol.2019.11.031⟩. ⟨hal-02419824⟩
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