• Title/Summary/Keyword: Wigner distribution

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Diagnosis of Gear Fault Using Wigner Higher Order Distribution (고차 위그너 분포 해석을 이용한 기어의 진단 분석)

  • Lee, Sang-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1127-1132
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    • 2000
  • Impulsive acoustic and vibration signals within rotating machinery are often induced by irregular impacting. The detection of these impulses can be useful for fault diagnosis purposes. Recently there has been an increasing trend towards the use of higher order statistics for fault detection within mechanical systems based on the observation that impulsive signals tend to increase the kurtosis values. This paper considers the use of the third and fourth order Wigner moment spectra, called the Wigner bi- and tri- spectra receptively, for analysing such signals. Expressions for the auto-and cross-terms in these distributions are presented and discussed. It is shown that the Wigner trispectrum is a more suitable analysis tool and it performance is compared to its second order counterpart for detecting impulsive signals. These methods are also applied to measured data sets from an industrial gearbox.

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Analysis of Fault Signal in Gear Using Higher Order Time Frequency Analysis

  • Lee, Sang-Kwon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.5
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    • pp.268-277
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    • 1999
  • Impulsive acoustic and vibration signals within gear are often induced by impacting of fault tooths in gear. Thus the detection of these impulses can be useful for fault diagnosis. Recently there is an increasing trend towards the use of higher order statistics for fault detection within mechanical systems based on the observation that impulsive signals then to increase the kurtosis values. We show that the fourth order Wigner Moment Spectrum, called the Wigner Trispectrum, has found superior detection performance to second order Wigner distribution for typical impulsive signals in a condition monitoring application. These methods are also applied to data sets measured within an industrial gear box.

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Analysis of acoustic scattering characteristics of an aluminum spherical shell with different internal fluids and classification using pseudo Wigner-Ville distribution (구형 알루미늄 쉘 내부의 충전 유체에 따른 수중 음향 산란 특성 분석 및 유사 위그너-빌 분포를 이용한 식별 기법 연구)

  • Choo, Yeon-Seong;Byun, Sung-Hoon;Kim, Sea-Moon;Lee, Keunhwa
    • The Journal of the Acoustical Society of Korea
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    • v.38 no.5
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    • pp.549-557
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    • 2019
  • The acoustical scattering characteristics of a target are influenced by the material properties and structural characteristics of the target, which are critical information for acoustic detection and identification of underwater target. In particular, for thin elastic target, unique scattered signals are generated around the target by the Lamb wave. In this paper, the results of scattered signal measurement of aluminum spherical shell in the water tank using the stepped frequency sweep sine signal are presented. In particular, the scattering of the water-filled aluminum spherical shell is compared with that of the air-filled one both theoretically and experimentally. The difference of the scattered signals are analyzed using the pseudo Wigner-Ville distribution in terms of average frequency, frequency distribution, and energy of the scattered signal. The result shows that all observed parameters increased when the aluminum sphere was water-filled, and it is well matched to the theoretical expectation.

Estimation of Fault Location on a Power Line using the Time-Frequency Domain Reflectometry (절연전선 결함 위치 추정에 대한 시간-주파수 영역 반사파 계측법의 적용)

  • Doo, Seung-Ho;Kwak, Ki-Seok;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.2
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    • pp.268-275
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    • 2008
  • In this paper, we introduce a new method for detecting and estimating faults on a power line using the time-frequency domain reflectometry system. The system rests upon time-frequency signal analysis and uses a chirp signal which is multiplied by Gaussian envelope. The chirp signal is used as a reference signal, and we can get the reflected signal from a fault on a wire. To detect and estimate faults, we analyze the reflected signal by Wigner time-frequency distribution function and normalized time-frequency cross correlation function. In this paper we design an optimal reference signal for power line and implement a system for estimating fault distance on a power line with the TFDR implemented by PXI equipments. This approach is verified by some experiments with HIV 2.25mm power lines.

Time-Frequency Analysis of the Doppler Signals by Moving Targets (이동 표적에 의한 도플러 신호의 시간-주파수 분석)

  • Son, Joong-Tak;Lee, Seung-Houn;Park, Kil-Houm
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.2 s.21
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    • pp.38-48
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    • 2005
  • Instantaneous frequency of doppler signals is used to get the information of the relative velocity and the miss distance between a missile and a corresponding target. In this paper, we have performed time-frequency analysis and instantaneous frequency estimation with Short Time Fourier Transform(STFT), Wigner Ville Distribution(WVD) and Continuous Wavelet Transform(CWT) about the doppler signals generated by moving targets. Performance evaluation was performed using simulated doppler signals generated by a single moving target and two moving targets. From the results of the time-frequency analysis, we found that WVD method was the most efficient instantaneous frequency estimator among the three methods. But in case of two moving targets, WVD method got cross talks and CWT method got oscillation when two doppler frequencies were close to each other.

Time-Frequency Domain Analysis of Acoustic Signatures Using Pseudo Wigner-Ville Distribution

  • Jeon, Jae-Jin
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06a
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    • pp.674-679
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    • 1994
  • Acoustic signal such as speech and scattered sound, are generally a nonstationary process whose frequency contents vary at any instant of time. For time-varying signal, whether a nonstationary or a deterministic transient signal, a traditional frequency domain representation does not reveal the contents of signal characteristics and may lead to erroneous results such as the loss of desired characteristics features or the mis-interpretation for a wrong conclusion. A time-frequency domain representation is needed to characterize such signatures. Pseudo Wigner-Ville distribution (PWVD) is ideally suited for portraying nonstationary signal time-frequency domain and carried out by adapting the fast Fourier transform algorithm. In this paper, the important properties of PWVD were investigated using both stationary and nonstationry signatures by numerical examples PWVD was applied to acoustic sigtnatures to demonstrate its application for time-ferquency domain analysis.

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Directional Wigner-Ville Distribution and Its Application for Rotating- Machinery Condition Monitoring

  • Kim, Dong-Wan;Ha, Jae-Hong;Shin, Hae-Gon;Lee, Yoon-Hee;Kim, Young-Baik
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.587-593
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    • 1996
  • Vibration analysis is one of the most powerful tools available for the detection and isolation of incipient faults in mechanical systems. The methods of vibration analysis in use today and under continuous study are broad band vibration monitoring, time domain analysis, and frequency domain analysis. In recent years, great interest has been generated concerning the use of time-frequency representation and its application for a machinery diagnostics and condition monitoring system. The objective of the research described in this paper was to develop a new diagnostic tool for the rotating machinery. This paper introduces a new time-frequency representation, Directional Wigner-Ville Distribution, which analyses the time- frequency structure of the rotating machinery vibration.

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Underwater Transient Signal Classification Using Eigen Decomposition Based on Wigner-Ville Distribution Function (위그너-빌 분포 함수 기반의 고유치 분해를 이용한 수중 천이 신호 식별)

  • Bae, Keun-Sung;Hwang, Chan-Sik;Lee, Hyeong-Uk;Lim, Tae-Gyun
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.3
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    • pp.123-128
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    • 2007
  • This Paper Presents new transient signal classification algorithms for underwater transient signals. In general. the ambient noise has small spectral deviation and energy variation. while a transient signal has large fluctuation. Hence to detect the transient signal, we use the spectral deviation and power variation. To classify the detected transient signal. the feature Parameters are obtained by using the Wigner-Ville distribution based eigenvalue decomposition. The correlation is then calculated between the feature vector of the detected signal and all the feature vectors of the reference templates frame-by-frame basis, and the detected transient signal is classified by the frame mapping rate among the class database.

Image Processing Based Time-Frequency Domain Reflectometry for Estimating the Fault Location Close to the Applied Signal Point (케이블 내 근접 결함 추정을 위한 영상 처리 기반의 시간 주파수 영역 반사파 계측법)

  • Jeong, Jong Min;Lee, Chun Ku;Yoon, Tae Sung;Park, Jin Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.12
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    • pp.1683-1689
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    • 2014
  • In this paper, we propose an image processing based time-frequency domain reflectometry(TFDR) in order to estimate the fault location of a cable. The Wigner-Ville distribution is used for analysis in both the time domain and the frequency domain when the conventional TFDR estimates the fault location in a cable. However, the Winger-Ville distribution is a bi-linear function, and hence the cross-term is occurred. The conventional TFDR cannot estimate the accurate fault location due to the cross-term in case the fault location is close to the position where the reference signal is applied to the cable. The proposed method can reduce the cross-term effectively using binarization and morphological image processing, and can estimate the fault location more accurately using the template matching based cross correlation compared to the conventional TFDR. To prove the performance of the proposed method, the actual experiments are carried out in some cases.