• 제목/요약/키워드: Wigner distribution

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

  • 이상권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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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
    • 한국자동차공학회논문집
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    • 제7권5호
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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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구형 알루미늄 쉘 내부의 충전 유체에 따른 수중 음향 산란 특성 분석 및 유사 위그너-빌 분포를 이용한 식별 기법 연구 (Analysis of acoustic scattering characteristics of an aluminum spherical shell with different internal fluids and classification using pseudo Wigner-Ville distribution)

  • 추연성;변성훈;김시문;이근화
    • 한국음향학회지
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    • 제38권5호
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    • pp.549-557
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    • 2019
  • 표적의 음향 산란 특성은 표적의 재료 특성과 구조적 특성에 영향을 받으며, 이는 음향을 이용하여 수중에서 표적을 탐지, 식별하고자 할 때 매우 중요한 정보가 된다. 특히, 얇은 탄성체의 경우 램파(Lamb wave)에 의해 표적 주변 유체에 산란파가 생성된다. 본 논문에서는 계단 주파수 스윕 사인 파형을 이용하여 수조에서 알루미늄 구의 산란 신호를 측정한 결과를 제시한다. 특히 알루미늄 구의 내부에 물이 채워져 있는 경우와 공기가 채워져 있는 경우에 대하여 산란 신호의 차이를 측정하고 이론 모델과 비교하였다. 또, 내부 물질에 따른 표적 산란 신호 차이를 유사 위그널-빌 분포를 이용하여 분석하고, 유도파의 평균 주파수, 주파수 분포, 에너지의 차이를 비교하였다. 분석 결과, 구의 내부에 물이 채워진 경우가 공기가 채워진 경우에 비해 유도파의 평균 주파수, 주파수 분포, 에너지가 증가하는 것을 확인하였으며 이는 이론적인 예상과 부합한다.

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

  • 두승호;곽기석;박진배
    • 전기학회논문지
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    • 제57권2호
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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.

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

  • 손중탁;이승훈;박길흠
    • 한국군사과학기술학회지
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    • 제8권2호
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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
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1994년도 FIFTH WESTERN PACIFIC REGIONAL ACOUSTICS CONFERENCE SEOUL KOREA
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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
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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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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위그너-빌 분포 함수 기반의 고유치 분해를 이용한 수중 천이 신호 식별 (Underwater Transient Signal Classification Using Eigen Decomposition Based on Wigner-Ville Distribution Function)

  • 배건성;황찬식;이형욱;임태균
    • 한국음향학회지
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    • 제26권3호
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    • pp.123-128
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    • 2007
  • 본 논문에서는 수중 천이 신호에 대한 식별 알고리즘을 제안한다. 일반적으로 해양의 배경잡음은 스펙트럼 특성 및 에너지 변화가 적은 정재성을 갖는 반면에 천이 신호는 스펙트럼 및 에너지 변화가 큰 비정재성을 가진다. 따라서 수중 천이 신호 식별을 위하여 선행되어져야 하는 수중 천이 신호 탐지에서는 프레임 단위로 스펙트럼 변이와 에너지 변화를 이용한다. 제안한 수중 천이 신호 식별 알고리즘에서는 특징 벡터를 추출하기 위하여 위그너-빌 분포 함수를 기반으로 고유치 분해를 이용한다. 추출된 특징 벡터를 기반으로 탐지된 수중 천이 신호의 특징 벡터와 식별하고자 하는 데이터베이스에 있는 기준 신호의 특징 벡터와의 상관 값을 프레임 단위로 계산하고, 각 클래스별로 프레임 사상도를 산출하여 최대 값을 갖는 기준 신호로 탐지된 수중 천이 신호를 식별한다.

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

  • 정종민;이춘구;윤태성;박진배
    • 전기학회논문지
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    • 제63권12호
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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.