Walsh Transform and Empirical Mode Decomposition Applied to Reconstruction of Velocity and Displacement from Seismic Acceleration Measurement Article Swipe
Qi Zhang
,
Xiang Yuan Zheng
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.3390/app10103509
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.3390/app10103509
This paper focuses on reconstruction of dynamic velocity and displacement from seismic acceleration signal. For conventional time-domain approaches or frequency-domain approaches, due to initial values and non-negligible noise in the acceleration signal, drift and deviation in velocity and displacement are inevitable. To deal with this deficiency, this paper develops a Walsh transform and Empirical Mode Decomposition (EMD)-based integral algorithm, or WATEBI in short. In the WATEBI algorithm, the Walsh transform is employed to realize vibration signal reconstruction. Next, the EMD method is used to eliminate the residual in the reconstructed signal. Finally, the trend term in velocity and displacement is removed by linear least-squares fit. This algorithm can be straightforwardly implemented by an ordinary computer. Reconstructed displacements and velocities from vibration of a simulated single-degree-of-freedom system and two-site measured ground motions in earthquakes validated the robustness and adaptiveness of this algorithm. It can be also applied to many other areas, like mechanical engineering and ocean engineering.
Related Topics
Concepts
Hilbert–Huang transform
Acceleration
Residual
Displacement (psychology)
Vibration
Hadamard transform
Frequency domain
Time domain
Algorithm
Mathematics
Computer science
Acoustics
Mathematical analysis
Physics
White noise
Classical mechanics
Telecommunications
Computer vision
Psychotherapist
Psychology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/app10103509
- https://www.mdpi.com/2076-3417/10/10/3509/pdf?version=1590121482
- OA Status
- gold
- Cited By
- 14
- References
- 29
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3027613597
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3027613597Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/app10103509Digital Object Identifier
- Title
-
Walsh Transform and Empirical Mode Decomposition Applied to Reconstruction of Velocity and Displacement from Seismic Acceleration MeasurementWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-05-19Full publication date if available
- Authors
-
Qi Zhang, Xiang Yuan ZhengList of authors in order
- Landing page
-
https://doi.org/10.3390/app10103509Publisher landing page
- PDF URL
-
https://www.mdpi.com/2076-3417/10/10/3509/pdf?version=1590121482Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
- OA URL
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https://www.mdpi.com/2076-3417/10/10/3509/pdf?version=1590121482Direct OA link when available
- Concepts
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Hilbert–Huang transform, Acceleration, Residual, Displacement (psychology), Vibration, Hadamard transform, Frequency domain, Time domain, Algorithm, Mathematics, Computer science, Acoustics, Mathematical analysis, Physics, White noise, Classical mechanics, Telecommunications, Computer vision, Psychotherapist, PsychologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
14Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2, 2024: 1, 2023: 5, 2022: 3, 2021: 2Per-year citation counts (last 5 years)
- References (count)
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29Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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