Algebraic Aspects of the Exact Signal Demodulation Problem. Issue 17 (2019)

• Record Type: Journal Article
• Authors: Hubert, E.; Bouzidi, Y.; Dagher, R.; Barrau, A.; Quadrat, A.
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 17(2019)
• Page Start: 82
• Page End: 87
• Publication Date: 2019
• Subjects: Demodulation -- polynomial systems -- linear systems -- homological algebra; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.11.031
• Languages: English
• ISSNs: 2405-8963

Abstract

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.