• Title/Summary/Keyword: 모드분해

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Predictation of Precipitation using Empirical Mode Decomposition (경험적 모드분해법을 활용한 우리나라 강수의 예측)

  • Choi, Wonyoung;Shin, Hongjoon;Kim, Taereem;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.147-147
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    • 2016
  • 최근 기후변화로 인한 기상이변이 빈번히 발생하면서 그로 인한 피해도 점점 증가하고 있다. 이를 최소화하기 위해서는 기후변화가 강수에 미치는 영향에 대한 연구가 필요하며, 특히 강수의 기후변화를 고려한 장기적인 변동에 대한 예측이 매우 중요하다. 그 중, 기후변화로 인한 강수현상의 변화를 분석하기 위한 방법 중 하나로 강수 현상이 주변 기후 요소의 분포에 영향을 받는다는 가정 하에 기상인자를 통하여 강수를 예측하는 방법이 있다. 우리나라에 영향을 미치는 주변 기상인자들과 강수 간의 상관관계를 분석하여 상관관계가 높게 나타나는 기상인자를 통해 우리나라 강수량을 예측하면 장기적인 관점에서 강수 예측의 정확도를 높일 수 있다. 하지만 상관관계 분석에 있어서 강수 원 자료 와 기상인자간의 상관관계를 비교할 경우 원 자료가 가지는 큰 변동성으로 인해 정확한 상관관계 분석이 이루어지지 않을 가능성이 크다. 따라서 강수자료를 분해하여 분해된 요소별로 상관관계를 분석하여 분석의 정확도를 높일 필요가 있다. 다양한 자료 분해 방법중 경험적 모드분해법(Empirical Mode Decomposition, EMD)을 사용할 경우 자료의 분해에 있어서 주기성, 경향성에 따라 분해가 가능하며, 비정상성을 가지고 있는 시계열에 대해 효과적으로 분해가 가능한 장점이 있다. 본 연구에서는 30년 이상의 자료기간을 가지는 지점의 강수량 자료를 바탕으로 경험적 모드분해법을 이용하여 강수자료를 분해하고, 이를 다양한 기상인자와의 상관관계를 분석함으로써, 우리나라 강수량 변동과 연관이 있는 기상인자들을 선별하였다. 선별된 기상인지를 바탕으로 다중회귀분석을 수행하여 기상인자를 독립변수로 하는 강수 예측식을 구축하여 우리나라 강수의 예측 가능성을 살펴보고자 한다.

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Data-Driven Signal Decomposition using Improved Ensemble EMD Method (개선된 앙상블 EMD 방법을 이용한 데이터 기반 신호 분해)

  • Lee, Geum-Boon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.2
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    • pp.279-286
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    • 2015
  • EMD is a fully data-driven signal processing method without using any predetermined basis function and requiring any user parameters setting. However EMD experiences a problem of mode mixing which interferes with decomposing the signal into similar oscillations within a mode. To overcome the problem, EEMD method was introduced. The algorithm performs the EMD method over an ensemble of the signal added independent identically distributed white noise of the same standard deviation. Even so EEMD created problems when the decomposition is complete. The ensemble of different signal with added noise may produce different number of modes and the reconstructed signal includes residual noise. This paper propose an modified EEMD method to overcome mode mixing of EMD, to provide an exact reconstruction of the original signal, and to separate modes with lower cost than EEMD's. The experimental results show that the proposed method provides a better separation of the modes with less number of sifting iterations, costs 20.87% for a complete decomposition of the signal and demonstrates superior performance in the signal reconstruction, compared with EEMD.

Variational Mode Decomposition with Missing Data (결측치가 있는 자료에서의 변동모드분해법)

  • Choi, Guebin;Oh, Hee-Seok;Lee, Youngjo;Kim, Donghoh;Yu, Kyungsang
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.159-174
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    • 2015
  • Dragomiretskiy and Zosso (2014) developed a new decomposition method, termed variational mode decomposition (VMD), which is efficient for handling the tone detection and separation of signals. However, VMD may be inefficient in the presence of missing data since it is based on a fast Fourier transform (FFT) algorithm. To overcome this problem, we propose a new approach based on a novel combination of VMD and hierarchical (or h)-likelihood method. The h-likelihood provides an effective imputation methodology for missing data when VMD decomposes the signal into several meaningful modes. A simulation study and real data analysis demonstrates that the proposed method can produce substantially effective results.

Correlation analysis between climate indices and Korean precipitation and temperature using empirical mode decomposition : I. Data decomposition and characteristic analysis (경험적 모드분해법을 이용한 기상인자와 우리나라 강수 및 기온의 상관관계 분석 : I. 자료의 분해 및 특성 분석)

  • Ahn, Si-Kweon;Choi, Wonyoung;Kim, Taereem;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.49 no.3
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    • pp.197-205
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    • 2016
  • Recently, natural hazards have occurred frequently due to climate change. The research need for predicting variability and tendency of precipitation and temperature has been increased. However, it is difficult to determine the characteristics of precipitation and temperature within a confidence range since they change due to complex factors with choppy and too many components. If their characteristics having more than one component are decomposed, then it can be useful for determining the variation of such characteristics more accurately. In this study, Korean precipitation and temperature were decomposed and their Intrinsic Mode Function (IMF) were extracted from Empirical Mode Decomposition (EMD). Finally, the characteristics of Korean precipitation and temperature data were analyzed in terms of periodicity and tendency.

Assessment for Detecting Trend using Empirical Mode Decomposition Method (경험적 모드분해법을 활용한 경향성 분석의 적용성 평가)

  • Kim, Taereem;Choi, Wonyoung;Seo, Jungho;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.232-232
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    • 2016
  • 주어진 시계열 자료의 경향성을 분석하고 판별하는 것은 수문 자료의 분석에서 가장 우선적으로 수행되어야 할 절차이며 경향성의 유무에 따라 자료를 분석하는 방법이 달라지게 되므로 매우 중요한 부분이다. 일반적으로 국내에서 주로 사용되는 수문 시계열 자료의 경향성 분석 방법으로는 비매개변수적인 방법인 Mann-Kendall test, Spearman's rho test, Hotelling Pabst test, Sentest 등이 있으며 그 중에서도 국내외 수문 자료의 경향성 분석에는 비교적 높은 기각력을 보이는 Mann-Kendall test가 주된 방법으로 활용되어 오고 있다. Mann-Kendall test는 통계적 유의성을 바탕으로 한 경향성 판별 방법으로 시계열 자료 내에 존재하는 경향성의 형태를 분석하여 경향성 유무를 판별하는 것에는 한계가 있다. 경험적 모드분해법을 활용한 경향성 분석 방법은 체거름 과정을 통하여 주어진 시계열 자료를 내재모드함수로 분해한 후, 추출된 모든 요소를 제거하고 남은 잔여값의 형태를 이용하여 경향성 유무를 판별하는 방법으로 자료에 내재된 경향성의 형태를 확인할 수 있는 장점을 가지고 있다. 본 연구에서는 이러한 경험적 모드분해법을 이용한 경향성 분석 방법을 소개하고, 모의를 통한 시계열 자료를 이용하여 경향성 분석에 적용한 후 기존에 사용되어온 Mann-Kendall test와의 비교를 통해 적용성을 평가하였다.

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Estimation of Displacement Response from the Measured Dynamic Strain Signals Using Mode Decomposition Technique (모드분해기법을 이용한 동적 변형률신호로부터 변위응답추정)

  • Chang, Sung-Jin;Kim, Nam-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.507-515
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    • 2008
  • In this study, a method predicting the displacement response of structures from the measured dynamic strain signal is proposed by using mode decomposition technique. Evaluation of bridge stability is normally focused on the bridge completed. However, dynamic loadings including wind and seismic loadings could be exerted to the bridge under construction. In order to examine the bridge stability against these dynamic loadings, the prediction of displacement response is very important to evaluate bridge stability. Because it may be not easy for the displacement response to be acquired directly on site, an indirect method to predict the displacement response is needed. Thus, as an alternative for predicting the displacement response indirectly, the conversion of the measured strain signal into the displacement response is suggested, while the measured strain signal can be obtained using fiber optic Bragg-grating (FBG) sensors. As previous studies on the prediction of displacement response by using the FBG sensors, the static displacement has been mainly predicted. For predicting the dynamic displacement, it has been known that the measured strain signal includes higher modes and then the predicted dynamic displacement can be inherently contaminated by broad-band noises. To overcome such problem, a mode decomposition technique was used. Mode decomposition technique estimates the displacement response of each mode with mode shape estimated to use POD from strain signal and with the measured strain signal decomposed into mode by EMD. This is a method estimating the total displacement response combined with the each displacement response about the major mode of the structure. In order to examine the mode decomposition technique suggested in this study model experiment was performed.

Motor Imagery EEG Classification Method using EMD and FFT (EMD와 FFT를 이용한 동작 상상 EEG 분류 기법)

  • Lee, David;Lee, Hee-Jae;Lee, Sang-Goog
    • Journal of KIISE
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    • v.41 no.12
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    • pp.1050-1057
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    • 2014
  • Electroencephalogram (EEG)-based brain-computer interfaces (BCI) can be used for a number of purposes in a variety of industries, such as to replace body parts like hands and feet or to improve user convenience. In this paper, we propose a method to decompose and extract motor imagery EEG signal using Empirical Mode Decomposition (EMD) and Fast Fourier Transforms (FFT). The EEG signal classification consists of the following three steps. First, during signal decomposition, the EMD is used to generate Intrinsic Mode Functions (IMFs) from the EEG signal. Then during feature extraction, the power spectral density (PSD) is used to identify the frequency band of the IMFs generated. The FFT is used to extract the features for motor imagery from an IMF that includes mu rhythm. Finally, during classification, the Support Vector Machine (SVM) is used to classify the features of the motor imagery EEG signal. 10-fold cross-validation was then used to estimate the generalization capability of the given classifier., and the results show that the proposed method has an accuracy of 84.50% which is higher than that of other methods.

Applications of Displacement Response Estimation Algorithm Using Mode Decomposition Technique to Existing Bridges (모드분해기법을 이용한 변위응답추정 알고리즘의 실교량 적용)

  • Chang, Sung-Jin;Kim, Nam-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3A
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    • pp.257-264
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    • 2010
  • Generally, estimations on the displacement as an important factor in evaluating the safety of large structures could be a barometer assessing whether the condition of the structure is deteriorating. Practically, it is not easy how to measure the displacement response to large structures like suspension bridges. In this study, as a method for estimation displacement response from strain signals, mode decomposition technique is proposed. Total displacement response is estimated by superposing quasistatic displacement response and modal displacement responses in dominant modes with larger contributions after estimating the modal displacement responses. If foiled strain gauges are used to measure strain signals, there would likely to generate electric noise, what's more, the more measuring points there are the more economic burden it could be. In order to solve such problems, fiber optic bragg-grating(FBG) sensors were used, which have multi-point measurements with no effect on electric noises. Therefore, the experiment was performed through dynamic load test of suspension bridge and plate-girder bridge to review the possibility for using mode decomposition technique.

Correlation analysis between climate indices and Korean precipitation and temperature using empirical mode decomposition : II. Correlation analysis (경험적 모드분해법을 이용한 기상인자와 우리나라 강수 및 기온의 상관관계 분석 : II. 상관관계 분석)

  • Ahn, Si-Kweon;Choi, Wonyoung;Shin, Hongjoon;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.49 no.3
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    • pp.207-215
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    • 2016
  • In this study, it is analyzed how large scale climate variation has an effect on climate systems over Korea using correlation analysis between climate indices and Intrinsic Mode Functions (IMFs) of precipitation and temperature. For this purpose, the estimated IMFs of precipitation and temperature from the accompanying paper were used. Furthermore, cross correlation coefficients and lag time between climate indices and IMFs were calculated considering periodicities and tendencies. As results, more accurate correlation coefficients were obtained compared with those between climate indices and raw precipitation and temperature data. We found that the Korean climate is closely related with climate variations of $El-Ni{\tilde{n}}o$ in terms of periodicity and its tendency is followed with increasing sea surface temperature due to climate change.

A Study on the Predictive Power Improvement of Time Series Model with Empirical Mode Decomposition Method (경험적 모드분해법을 이용한 시계열 모형의 예측력 개선에 관한 연구)

  • Kim, Taereem;Shin, Hongjoon;Nam, Woosung;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.48 no.12
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    • pp.981-993
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    • 2015
  • The analysis of hydrologic time series data is crucial for the effective management of water resources. Therefore, it has been widely used for the long-term forecasting of hydrologic variables. In tradition, time series analysis has been used to predict a time series without considering exogenous variables. However, many studies using decomposition have been widely carried out with the assumption that one data series could be mixed with several frequent factors. In this study, the empirical mode decomposition method was performed for decomposing a hydrologic time series data into several components, and each component was applied to the time series models, autoregressive moving average (ARMA). After constructing the time series models, the forecasting values are added to compare the results with traditional time series model. Finally, the forecasted estimates from ARMA model with empirical mode decomposition method showed better performance than sole traditional ARMA model indicated from comparing the root mean square errors of the two methods.