Development of an advanced noise reduction method for vibration analysis based on singular value decomposition

Yang, Wenxian; Tse, Peter W.

doi:10.1016/s0963-8695(03)00044-6

Cited by 122 publications

(60 citation statements)

References 33 publications

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“…Yang and Tse, 2003). In particular, for a sufficiently high embedding dimension some of the singular values tend to show a certain degree of coupling, that is σ 2 →σ 1 , σ 4 →σ 3 and so on.…”

Section: Coupling Of the Singular Valuesmentioning

confidence: 96%

On the singular values decoupling in the Singular Spectrum Analysis of volcanic tremor at Stromboli

Carniel

Barazza

Tárraga

et al. 2006

Nat. Hazards Earth Syst. Sci.

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Abstract. The well known strombolian activity at Stromboli volcano is occasionally interrupted by rarer episodes of paroxysmal activity which can lead to considerable hazard for Stromboli inhabitants and tourists. On 5 April 2003 a powerful explosion, which can be compared in size with the latest one of 1930, covered with bombs a good part of the normally tourist-accessible summit area. This explosion was not forecasted, although the island was by then effectively monitored by a dense deployment of instruments. After having tackled in a previous paper the problem of highlighting the timescale of preparation of this event, we investigate here the possibility of highlighting precursors in the volcanic tremor continuously recorded by a short period summit seismic station. We show that a promising candidate is found by examining the degree of coupling between successive singular values that result from the Singular Spectrum Analysis of the raw seismic data. We suggest therefore that possible anomalies in the time evolution of this parameter could be indicators of volcano instability to be taken into account e.g. in a bayesian eruptive scenario evaluator. Obviously, further (and possibly forward) testing on other cases is needed to confirm the usefulness of this parameter.

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Section: Coupling Of the Singular Valuesmentioning

confidence: 96%

On the singular values decoupling in the Singular Spectrum Analysis of volcanic tremor at Stromboli

Carniel

Barazza

Tárraga

et al. 2006

Nat. Hazards Earth Syst. Sci.

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“…Information complexity is denoted by information entropy, where an increase in the former enlarges the latter [23]. En can be computed using Eq.…”

Section: Signal Entropy Enmentioning

confidence: 99%

Features Extraction and Mechanism Analysis of Partial Discharge Development under Protrusion Defect

Dong¹,

Tang²,

Zeng³

et al. 2015

Journal of Electrical Engineering and Technology

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-In order to study the development of partial discharge (PD) under typical protrusion defects in gas-insulated switchgear, we applied step voltages on the defect and obtained the φ-u and φ-n spectrograms of ultra-high frequency (UHF) PD signals in various PD stages. Furthermore, we extracted seven kinds of features to characterize the degree of deterioration of insulation and analyzed their values, variation trends, and change rates. These characteristics were inconsistent with the development of PD. Hence, the differences of these features could describe the severity of PD. In addition, these characteristics could provide integrated characteristics regarding PD development and improve the reliability of PD severity assessment because these characteristics were extracted from different angles. To explain the variation laws of these seven kinds of parameters, we analyzed the relevant physical mechanism by considering the microphysical process of PD formation and development as well as the distortion effect generated by the space charges on the initial field. The relevant physical mechanism effectively allocated PD severity among these features for assessment, and the effectiveness and reliability of using these features to assess PD severity were proved by testing a large number of PD samples.

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“…According to the theorem of SVD [14,15] , for a real matrix It has been proved theoretically and practically that matrix Λ can be expressed as eq. (25) based on SVD when the signal has high SNR or is noisefree.…”

Section: Singular Entropy (Se) and Singular Spectrummentioning

confidence: 99%

ERA modal identification method for hydraulic structures based on order determination and noise reduction of singular entropy

Lian

Zhang

2008

Sci. China Ser. E-Technol. Sci.

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Modal parameter has been considered as one of the indices in assessing the working state of hydraulic structures. The method for obtaining the modal parameter indices is crucial for health monitoring of hydraulic structures. Traditionally, model parameters are measured from the prototype dynamic test under the excitation of special equipment. The preparation is time-consuming and the method is difficult to carry out. We propose a method in this paper to denoise, reconstruct, determine the order and identify modal parameters based on singular entropy (SE) of eigenmatrix. It can be used to solve the problem of system eigenmatrix order determination, and to identify the modal order and the characteristics of structures under the working state. Finally, this method is applied to identify the operational modal parameters of Ertan arch dam under different flood discharging states and vibration frequencies of the powerhouse with a two-row placed unit in Lijiaxia hydropower station during the unit halting process. This new method provides a simple way to identify the modal parameters of large-scale hydraulic structures under ambient excitation.hydraulic structure, eigenmatrix, singular entropy, order determination, operational modal, arch dam, powerhouse with two-row placed unit

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Development of an advanced noise reduction method for vibration analysis based on singular value decomposition

Cited by 122 publications

References 33 publications

On the singular values decoupling in the Singular Spectrum Analysis of volcanic tremor at Stromboli

On the singular values decoupling in the Singular Spectrum Analysis of volcanic tremor at Stromboli

Features Extraction and Mechanism Analysis of Partial Discharge Development under Protrusion Defect

ERA modal identification method for hydraulic structures based on order determination and noise reduction of singular entropy

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