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The Partial Reconstruction Symplectic Geometry Mode Decomposition and Its Application in Rolling Bearing Fault Diagnosis [PDF]
Sensors, 2023 Extracting the fault characteristic information of rolling bearings from intense noise disturbance has been a heated research issue. Symplectic geometry mode decomposition (SGMD) has already been adopted for bearing fault diagnosis due to its advantages ...
Yanfei Liu +5 more
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Fault Feature Extraction of Hydraulic Pumps Based on Symplectic Geometry Mode Decomposition and Power Spectral Entropy [PDF]
Entropy, 2019 Aiming at fault feature extraction of a hydraulic pump signal, a new method based on symplectic geometry mode decomposition (SGMD) and power spectral entropy (PSE) is proposed.
Zhi Zheng, Ge Xin
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Comprehensive Separation Algorithm for Single-Channel Signals Based on Symplectic Geometry Mode Decomposition [PDF]
SensorsThis paper aims to explore the difficulty of obtaining source signals from complex mixed signals and the issue that the FastICA algorithm cannot directly decompose the received single-channel mixed signals and distort the signal separation in low signal ...
Xinyu Wang, Jin Zhao, Xianliang Wu
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Symplectic Bregman Divergences [PDF]
EntropyWe present a generalization of Bregman divergences in finite-dimensional symplectic vector spaces that we term symplectic Bregman divergences. Symplectic Bregman divergences are derived from a symplectic generalization of the Fenchel–Young inequality ...
Frank Nielsen
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A Construction of Multisender Authentication Codes with Sequential Model from Symplectic Geometry over Finite Fields [PDF]
Journal of Applied Mathematics, 2014 Multisender authentication codes allow a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message.
Shangdi Chen, Chunli Yang
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Train Axlebox Bearing Fault Diagnosis Based on MSC–SGMD [PDF]
Sensors, 2023 Train axlebox bearings are subject to harsh service conditions, and the difficulty of diagnosing compound faults has brought greater challenges to the maintenance of high–quality train performance.
Yongliang Bai, Hai Xue, Jiangtao Chen
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A Novel Joint Denoising Method for Hydrophone Signal Based on Improved SGMD and WT [PDF]
SensorsUnderwater acoustic technology as an important means of exploring the oceans is receiving more attention. Denoising for underwater acoustic information in complex marine environments has become a hot research topic.
Tianyu Xing +3 more
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Universe, 2022 This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on applications for Hamiltonian systems with second-class constraints.
Alexei A. Deriglazov
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IEEE Access, 2023 It is always a hot and challenging problem to extract the characteristic information of roller bearings from strong noise interference. Conventional Hilbert-Huang Transform (HHT), Local Mean Decomposition (LMD), Local Feature-Scale Decomposition (LCD ...
Yanfei Liu +5 more
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Global Geometry of Bayesian Statistics
Entropy, 2020 In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
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