High‐order partial differential equation de‐noising method for vibration signal

DOI10.1002/MMA.3119zbMath1310.35143OpenAlexW2036311481MaRDI QIDQ5247887

Lei Zhao, Aijun Yin

Publication date: 27 April 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3119

zbMATH Keywords

signal detectionsignal filteringvibration signalhigher-order parabolic system

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Partial differential equations of mathematical physics and other areas of application (35Q99) Higher-order parabolic systems (35K41)

Cites Work

• On the inverse of a general tridiagonal matrix.
• Fourth-order partial differential equations for noise removal
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• A Spectral Approach for Sifting Process in Empirical Mode Decomposition
• De-noising by soft-thresholding

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