• Title/Summary/Keyword: Daubechies Wavelet

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Noise Suppression in NMR Spectrum by Using Wavelet Transform Analysis

  • Kim, Daesung;Youngdo Won;Hoshik Won
    • Journal of the Korean Magnetic Resonance Society
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    • v.4 no.2
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    • pp.103-115
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    • 2000
  • Wavelet transforms are introduced as a new tool to distinguish real peaks from the noise contaminated NMR data in this paper. New algorithms of two wavelet transforms including Daubechies wavelet transform as a discrete and orthogonal wavelet transform (DWT) and Morlet wavelet transform as a continuous and nonorthogonal wavelet transform(CWT) were developed fer noise elimination. DWT and CWT method were successfully applied to the noise reduction in spectrum. The inevitable distortion of NMR spectral baseline and the imperfection in noise elimination were observed in DWT method while CWT method gives a better baseline ahape and a well noise suppressed spectrum.

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Retrieval of Key-frames using Wavelet Transform (Wavelet Transform을 이용한 Key-frame 검색)

  • 정세윤;김규헌;전병태;이재연;배영래
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10c
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    • pp.509-511
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    • 1998
  • 본 논문에서는 동영상 데이터베이스에서 Key-frame을 검색하는 방법을 제안한다. 본 논문에서는 Key-frame을 검색하기위해 컬러 피쳐를 공간영역에서 추출하지 않고 wavelet transform 영역에서 컬러 피쳐를 추출하는 방법을 제안한다. wavelet transform 의 저주파 밴드는 영상전체의 특징을 잘 나타내고 고주파 밴드는 texture 와 국부적인 컬러 특성을 잘 나타낸다. 색인과정 알고리즘은 영상의 크기를 정규화하고 RGB 컬러공간에서 HSV 컬러 공간으로 변환을 하여, H, S, V 각 채널에 대해 Daubechies' wavelet transform을 수행한 후 변환 영역에서 피쳐를 추출하게 된다. 색인을 위한 피쳐로 wavelet 계수와 lowest 밴드의 평균과 표준편차를 추출하였다. 효율적인 검색을 위해 검색은 2단계로 수행된다. 먼저 평균과 표준편차만을 이용한 1차 검색을 통해 2차 검색의 후보 영상들을 추출하고 2차 검색에서는 1차 검색 통과 영상들에 대해서만 wavelet 계수들을 비교하여 최종 검색 결과를 얻게 된다. 검색결과 기존의 컬러 피쳐를 이용한 방법보다 우수한 검색결과를 얻을 수 있었다.

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Determinacy on a Maximum Resolution in Wavelet Series

  • Park, Chun-Gun;Kim, Yeong-Hwa;Yang, Wan-Youn
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.467-476
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    • 2004
  • Recently, an approximation of a wavelet series has been developed in the analyses of an unknown function. Most of articles have been studied on thresholding and shrinkage methods for its wavelet coefficients based on (non)parametric and Bayesian methods when the sample size is considered as a maximum resolution in wavelet series. In this paper, regardless of the sample size, we are focusing only on the choice of a maximum resolution in wavelet series. We propose a Bayesian approach to the choice of a maximum resolution based on the linear combination of the wavelet basis functions.

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Extraction of evoked potentials using the shrinkage and averaging method of wavelet coefficients (웨이브렛 계수를 축소와 평균 가산에 의한 유발전위뇌파신호의 추출)

  • 이용희;이두수
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.3
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    • pp.55-62
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    • 1997
  • For the effective removal of artifacts and the extraction of an improved evoked potential response, we propose the averaging method usin gthe shrinkag eof wavelet coefficients. The wavelet analysis decomposes the measured evoked potentials into scale coefficients with low frequency components and wavelet coefficients with high ones as a resolution level, respectively. and in the course of synthesis evoked potentials, the presented method shrinks the wavelet coefficients, and then reproduces the evoked potentials, and lastly averages it. We measured visual evoked potentials to simulate the averaging method using the shrinkage of wavelet coefficients, and compared it with aveaged signal. As a result of simulations, the proposed method gets improved VEP about 0.2-1.6dB in comparison with the averaging method with daubechies wavelet in the resolution level four.

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A Novel Detection Technique for Voltage Sag in Distribution Lines Using the Wavelet Transform

  • Ko, Young-Hun;Kim, Chul-Hwan;Ahn, Sang-Pil
    • KIEE International Transactions on Power Engineering
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    • v.3A no.3
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    • pp.130-138
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    • 2003
  • This paper presents a discrete wavelet transform approach for determining the beginning and end times of voltage sags. Firstly, investigations in the use of some typical mother wavelets, namely Daubechies, Symlets, Coiflets and Biorthogonal are carried out and the most appropriate mother wavelet is selected. The proposed technique is based on utilizing the maximum value of Dl (at scale 1) coefficients in multiresolution analysis (MRA) based on the discrete wavelet transform. The results are compared with other methods for determining voltage sag duration, such as the Root Mean Square (RMS) voltage and Short Time Fourier Transform (STFT) methods. It is shown that the voltage sag detection technique based on the wavelet transform is a satisfactory and reliable method for detecting voltage sags in power quality disturbance analysis.

Prediction technique for system marginal price using wavelet transform (웨이브릿 변환을 이용한 발전시스템 한계원가 예측기법)

  • Kim, Chang-Il;Kim, Bong-Tae;Kim, Woo-Hyun;Yu, In-Keun
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.210-212
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    • 1999
  • This paper proposes a novel wavelet transform based technique for prediction of System Marginal Price(SMP). In this paper, Daubechies D1(haar), D2, D4 wavelet transforms are adopted to predict SMP and the numerical results reveal that certain wavelet components can effectively be used to identify the SMP characteristics with relation to the system demand in electric power systems. The wavelet coefficients associated with certain frequency and time localisation are adjusted using the conventional multiple regression method and then reconstructed in order to predict the SMP on the next scheduling day through a five-scale synthesis technique. The outcome of the study clearly indicates that the proposed wavelet transform approach can be used as an attractive and effective means for the SMP forecasting.

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Seasonal load forecasting algorithm using wavelet transform analysis (웨이브릿 변환을 이용한 계절별 부하예측 알고리즘)

  • Kim, Chang-Il;Kim, Bong-Tae;Kim, Woo-Hyun;Yu, In-Keun
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.242-244
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    • 1999
  • This paper proposes a novel wavelet transform based algorithm for the seasonal load forecasting. In this paper, Daubechies DB2, DB4 and DB10 wavelet transforms are adopted to predict the seasonal loads and the numerical results reveal that certain wavelet components can effectively be used to identify the load characteristics in electric power systems. The wavelet coefficients associated with certain frequency and time localization are adjusted using the conventional multiple regression method and then reconstructed. In order to forecast the final loads through a four-scale synthesis technique. The outcome of the study clearly indicates that the wavelet transform approach can be used as an attractive and effective means of the seasonal load forecasting.

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Bandwidth Efficient Digital Communication with Wavelet Approximations

  • Lo, Chet;Moon, Todd K.
    • Journal of Communications and Networks
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    • v.4 no.2
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    • pp.97-101
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    • 2002
  • Based on their shift and scale orthogonality properties, scaling and wavelet functions may be used as signaling functions having good frequency localization as determined by the fractional-out-of-band power (FOOBP). In this paper, application of Daubechies' wavelet and scaling functions as baseband signaling functions is described, with a focus on finding discretely realizable pulse-shaping transfer function circuits whose outputs approximate scaling and wavelet functions when driven by more conventional digital signaling waveforms. It is also shown that the inter-symbol interference (ISI) introduced by the approximation has negligible effect on the performance in terms of signal-to-noise ratio (SNR). Moreover, the approximations are often more bandwidth efficient than the original wavelet functions. These waveforms thus illustrate an example solution of a tradeoff between residual ISI and bandwidth efficiency as a signal design problem.

A Study on Feature Extraction of Transformers Aging Signal using discrete Wavelet Transform Technique (이산 웨이블렛 변환 기법을 이용한 변압기 열화신호의 특징추출에 관한 연구)

  • Park, Jae-Jun;Kwon, Dong-Jin;Song, Yeong-Cheol;Ahn, Chang-Beom
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.3
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    • pp.121-129
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    • 2001
  • In this paper, a new efficient feature extraction method based on Daubechies discrete wavelet transform is presented. This paper especially deals with the assessment of process statistical parameter using the features extracted from the wavelet coefficients of measured acoustic emission signals. Since the parameter assessment using all wavelet coefficients will often turn out leads to inefficient or inaccurate results, we selected that level-3 stage of multi decomposition in discrete wavelet transform. We make use of the feature extraction parameter namely, maximum value of acoustic emission signal, average value, dispersion, skewness, kurtosis, etc. The effectiveness of this new method has been verified on ability a diagnosis transformer go through feature extraction in stage of aging(the early period, the middle period, the last period)

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Analysis and Compression of Spun-yarn Density Profiles using Adaptive Wavelets

  • Kim, Joo-Yong
    • Textile Coloration and Finishing
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    • v.18 no.5 s.90
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    • pp.88-93
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    • 2006
  • A data compression system has been developed by combining adaptive wavelets and optimization technique. The adaptive wavelets were made by optimizing the coefficients of the wavelet matrix. The optimization procedure has been performed by criteria of minimizing the reconstruction error. The resulting adaptive basis outperformed such conventional basis as Daubechies-5 by 5-10%. It was also shown that the yarn density profiles could be compressed by over 95% without a significant loss of information.