• 제목/요약/키워드: Frequency distribution

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STFT, 고차위그너분포 및 웨이브렛 변환 기술을 이용한 탄성파 추적 (An Analysis of the Wave Propagation of a Structure Based on STFT, Higher Order Time-frequency Analysis and Wavelet Transform)

  • 이상권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.827-832
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    • 2003
  • There has been a number methods for the presentation of time-frequency analysis of non-stationary signal. In this paper, STFT(short time Fourier transform), wavelet transform, Wigner distribution, and higher order Wigner distribution are discussed in details with simulation signals. They are also applied to the analysis of the wave propagation of a semi finite beam. Wigner distribution and higher order Wigner distribution have good time-frewuency resolutions. Wavelet transform is required for impact analysis but should be applied carefully. STFT suffers from time-frequency resolutions. Each method is has its advantage and disadvantage depending on each application signals.

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비침습적 관절질환 진단을 위한 관절음의 시주파수 분석 (Time-frequency Analysis of Vibroarthrographic Signals for Non-invasive Diagnosis of Articular Pathology)

  • 김거식;송철규;서정환
    • 전기학회논문지
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    • 제57권4호
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    • pp.729-734
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    • 2008
  • Vibroarthrographic(VAG) signals, emitted by human knee joints, are non-stationary and multi-component in nature and time-frequency distributions(TFD) provide powerful means to analyze such signals. The objective of this paper is to classify VAG signals, generated during joint movement, into two groups(normal and patient group) using the characteristic parameters extracted by time-frequency transform, and to evaluate the classification accuracy. Noise within TFD was reduced by singular value decomposition and back-propagation neural network(BPNN) was used for classifying VAG signals. The characteristic parameters consist of the energy parameter, energy spread parameter, frequency parameter, frequency spread parameter by Wigner-Ville distribution and the amplitude of frequency distribution, the mean and the median frequency by fast Fourier transform. Totally 1408 segments(normal 1031, patient 377) were used for training and evaluating BPNN. As a result, the average value of the classification accuracy was 92.3(standard deviation ${\pm}0.9$)%. The proposed method was independent of clinical information, and showed good potential for non-invasive diagnosis and monitoring of joint disorders such as osteoarthritis and chondromalacia patella.

확률강우량 산정방법의 신뢰도 분석 (Reliability Analysis for the Estimation of Frequency-Based Rainfall)

  • 홍창선;원석연;안재현;안원식
    • 한국방재학회 논문집
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    • 제1권3호
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    • pp.111-122
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    • 2001
  • 본 연구에서는 확률강우량 산정과정에서 발생할 수 있는 불확실성을 파악하기 위하여 신뢰도 분석을 실시하였으며, 이를 위해 서울관측소의 39개년(1961년${\sim}$199년)간의 연최대 강우량자료 계열을 이용하였다. 강우량 빈도해석을 위해 국내에서 일반적으로 적용되어온 9개의 확률분포형 및 3가지의 매개변수 추정법을 적용하여 각 방법별로 강우 지속기간별, 재현기간별로 확률강우량을 산정하였으며, 계획강우량의 결정방법을 3가지(최대치, 중앙치, 선정치)로 구분하여 각 방법에 대한 신뢰도 분석을 실시하였다. 확률강우량의 분포형을 파악하기 위하여 확률강우량 산정치를 표준화하였으며, 표준화된 확률강우량은 정규분포를 따르는 것을 볼 수 있었다. 또한 이 값들로부터 강우 지속기간별 빈도별로 변동계수를 산정할 결과 0.0456의 값을 가지는 것을 알 수 있었으며, 이 값은 신뢰도 개념을 도입한 확률강우량의 산정을 위해서 유용하게 사용될 수 있을 것이다.

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고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정 (III) - LH-모멘트법과 GIS 기법을 중심으로 - (Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques (III) - On the Method of LH-moments and GIS Techniques -)

  • 이순혁;박종화;류경식;지호근;신용희
    • 한국농공학회지
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    • 제44권5호
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    • pp.41-53
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    • 2002
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation suggested by the first report of this project. According to the regions and consecutive durations, optimal design rainfalls were derived by the regional frequency analysis for L-moment in the second report of this project. Using the LH-moment ratios and Kolmogorov-Smirnov test, the optimal regional probability distribution was identified to be the Generalized extreme value (GEV) distribution among applied distributions. regional and at-site parameters of the GEV distribution were estimated by the linear combination of the higher probability weighted moments, LH-moment. Design rainfall using LH-moments following the consecutive duration were derived by the regional and at-site analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design rainfall were computed and compared in the regional and at-site frequency analysis. Consequently, it was shown that the regional analysis can substantially more reduce the RRMSE, RBIAS and RR in RRMSE than at-site analysis in the prediction of design rainfall. Relative efficiency (RE) for an optimal order of L-moments was also computed by the methods of L, L1, L2, L3 and L4-moments for GEV distribution. It was found that the method of L-moments is more effective than the others for getting optimal design rainfall according to the regions and consecutive durations in the regional frequency analysis. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.

입상체시료의 공극비의 빈도분포 (The Frequency Distribution of Void Ratio of Granular Materials)

  • 도덕현;고재만;오규태
    • 한국지반공학회지:지반
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    • 제4권3호
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    • pp.5-18
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    • 1988
  • 3종의 입상체시료를 대상으로 공극비의 빈도분포, 상대밀도 전단강도 등에 대한 시험연구결과 (1) 유리알의 경우 공극비의 빈도분포는 Shahinpoorl가 제안한 음의 지수분포에 접근하며 입자의 모양은 구형에서 각형의 순으로 변화되는 반면에 조밀한 공극의 빈도는 감소하며 Beta분포로서 잘 나타냈다. (2) 전 시료에서 공극비의 표준편차는 시료의 상대밀도와 입자의 구형성이 감소함에 따라 증가하였다. (3) 전단강도는 평균공극비와 표준편차의 함수일 뿐만 아니라 공극비 분포의 확율밀도함수이다. (4) 공극비는 정도분포가 조밀한 공극쪽으로 기울수록 시료의 전단강도는 더 크며 이의 역도 또한 같다.

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혼합분포 기반 비정상성 강우 빈도해석 기법 개발 (A development of nonstationary rainfall frequency analysis model based on mixture distribution)

  • 최홍근;권현한;박문형
    • 한국수자원학회논문집
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    • 제52권11호
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    • pp.895-904
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    • 2019
  • 극치 강우 자료는 정상성 빈도모델에서 효과적으로 구현되지 않는 비정상성 거동을 종종 보인다. 또한, 극치 사상의 확률밀도함수는 여름 장마와 태풍 등의 서로 다른 강우 패턴에 의해 2개 이상의 첨두를 가지는 혼합분포형태이다. 이러한 강우 패턴의 변화에 대해 Bayesian 이론을 활용한 비정상성 혼합분포(mixture distribution based nonstationary frequency, MDNF)모델을 제안하였다. 2개의 Gumbel 분포형이 혼합된 MDNF 모델은 Gumbel 분포형 매개변수 중 하나인 위치매개변수의 시변성을 효과적으로 설명한다. 제안한 모델의 성능평가를 위해 정상성 혼합분포모델과의 다양한 통계치 결과를 비교하였다. 정상성 혼합분포모델보다 전반적으로 향상된 성능을 보여주는 MDNF 모델을 통해 극치 강우 패턴이 비정상성을 보인다는 가정을 확인할 수 있다.

Relationship Between the Mean and Median in a Skewed Frequency Distribution

  • Shin, Mi-Young;Cho, Tae Kyoung
    • Communications for Statistical Applications and Methods
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    • 제11권3호
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    • pp.513-518
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    • 2004
  • The well-known mode-mean-median inequality for the unimodal population distribution does not always hold for the frequency distribution. But many elementary statistics text books just mention that the relative location of the mean and median can be used to determine whether a distribution is positively or negatively skewed. In this paper we introduce the method generating data that is positively skewed but mean

부분 푸리에 영역과 선형 시간-주파수 분포의 옮김 불변 특성 (Fractional Fourier Domains and the Shift-Invariance Characteristics of Linear Time-Frequency Distributions)

  • 두락루트피에;강현구;윤석호;이주미;권형문;최상원;송익호
    • 한국통신학회논문지
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    • 제30권11C호
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    • pp.1060-1067
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    • 2005
  • 시간 영역과 주파수 영역을 사이의 공간을 뜻하는 부분 푸리에 영역으로 (fractional Fourier domains) 선형 시간-주파수 분포의 옮김 불변 특성을 일반화한다. 다른 선형 사주파수 분포와 달리 짧은 시간 푸리에 변환은(short time Fourier transform: STFT) 부분 푸리에 영역에서 크기 (magnitude-wise) 옮김 불변을 지니는데, 이 짧은 시간 푸리에 변환을 쓰면 분포를 좀더 쉽게 해석할 수 있다. 특히, 부분 푸리에 영역에서 크기 옮김 불변인 선형 분포는 짧은 시간 푸리에 변환뿐이라는 것을 밝힌다.

Bayesian MCMC 및 Metropolis Hastings 알고리즘을 이용한 강우빈도분석에서 확률분포의 매개변수에 대한 불확실성 해석 (Uncertainty Analysis for Parameters of Probability Distribution in Rainfall Frequency Analysis by Bayesian MCMC and Metropolis Hastings Algorithm)

  • 서영민;박기범
    • 한국환경과학회지
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    • 제20권3호
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    • pp.329-340
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    • 2011
  • The probability concepts mainly used for rainfall or flood frequency analysis in water resources planning are the frequentist viewpoint that defines the probability as the limit of relative frequency, and the unknown parameters in probability model are considered as fixed constant numbers. Thus the probability is objective and the parameters have fixed values so that it is very difficult to specify probabilistically the uncertianty of these parameters. This study constructs the uncertainty evaluation model using Bayesian MCMC and Metropolis -Hastings algorithm for the uncertainty quantification of parameters of probability distribution in rainfall frequency analysis, and then from the application of Bayesian MCMC and Metropolis- Hastings algorithm, the statistical properties and uncertainty intervals of parameters of probability distribution can be quantified in the estimation of probability rainfall so that the basis for the framework configuration can be provided that can specify the uncertainty and risk in flood risk assessment and decision-making process.

Phase Angle Control in Resonant Inverters with Pulse Phase Modulation

  • Ye, Zhongming;Jain, Praveen;Sen, Paresh
    • Journal of Power Electronics
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    • 제8권4호
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    • pp.332-344
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    • 2008
  • High frequency AC (HFAC) power distribution systems delivering power through a high frequency AC link with sinusoidal voltage have the advantages of simple structure and high efficiency. In a multiple module system, where multiple resonant inverters are paralleled to the high frequency AC bus through connection inductors, it is necessary for the output voltage phase angles of the inverters be controlled so that the circulating current among the inverters be minimized. However, the phase angle of the resonant inverters output voltage can not be controlled with conventional phase shift modulation or pulse width modulation. The phase angle is a function of both the phase of the gating signals and the impedance of the resonant tank. In this paper, we proposed a pulse phase modulation (PPM) concept for the resonant inverters, so that the phase angle of the output voltage can be regulated. The PPM can be used to minimize the circulating current between the resonant inverters. The mechanisms of the phase angle control and the PPM were explained. The small signal model of a PPM controlled half-bridge resonant inverter was analyzed. The concept was verified in a half bridge resonant inverter with a series-parallel resonant tank. An HFAC power distribution system with two resonant inverters connected in parallel to a 500kHz, 28V AC bus was presented to demonstrate the applicability of the concept in a high frequency power distribution system.