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Conference Papers Year : 2021

Centrohermitian solutions of a factorization problem arising in vibration analysis. Part I: Lee's transformation

Abstract

Motivated by an application of vibration analysis to gearbox fault surveillance, a new demodulation approach for gearbox vibration signals has recently been developed. Within this approach, the demodulation problem yields the study of a rank factorization problem for centrohermitian matrices. In this paper, using the properties of centrohermitian matrices, we first show that the rank factorization problem for centrohermitian matrices can be transformed into a rank factorization problem for real matrices. Based on previous works, we then show how to parametrize a class of centrohermitian solutions of the rank factorization problem that is important in practice.
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Dates and versions

hal-03530244 , version 1 (17-01-2022)

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Elisa Hubert, Yacine Bouzidi, Roudy Dagher, Alban Quadrat. Centrohermitian solutions of a factorization problem arising in vibration analysis. Part I: Lee's transformation. ECC 2021 - European Control Conference, Jun 2021, Delft (Virtual), Netherlands. ⟨10.23919/ECC54610.2021.9655069⟩. ⟨hal-03530244⟩
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