• Title/Summary/Keyword: wavelet decomposition

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Signal Reconstruction by Synchrosqueezed Wavelet Transform

  • Park, Minsu;Oh, Hee-Seok;Kim, Donghoh
    • Communications for Statistical Applications and Methods
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    • v.22 no.2
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    • pp.159-172
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    • 2015
  • This paper considers the problem of reconstructing an underlying signal from noisy data. This paper presents a reconstruction method based on synchrosqueezed wavelet transform recently developed for multiscale representation. Synchrosqueezed wavelet transform based on continuous wavelet transform is efficient to estimate the instantaneous frequency of each component that consist of a signal and to reconstruct components. However, an objective selection method for the optimal number of intrinsic mode type functions is required. The proposed method is obtained by coupling the synchrosqueezed wavelet transform with cross-validation scheme. Simulation studies and musical instrument sounds are used to compare the empirical performance of the proposed method with existing methods.

Multi-resolution hierarchical motion estimation in the wavelet transform domain (웨이브렛 변환된 다해상도 영상을 이용한 계층적 움직임 추정)

  • 김진태;장준필;김동욱;최종수
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.8
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    • pp.50-59
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    • 1996
  • In this paper, a new hierarchical motion estiamtion scheme using the wavelet transformed multi-resolution image layers is proposed. Compared with the full search motion estimation method, the existing hierarchical methods remarkably reduce the amount of the computation but their efficiencies are depreciated by the local minima problem. In order to solve the local minima problem, the multi-resolution image layers are composed using the wavelet transform and the number of layers participated in the motion estimation for a block is determined by considering of its low band energy and higher band energy on the first wavelet transformed layer. The ratio between higher band energy and low band energy of each block is evaluated and in the case of the blocks which include relatively large higher band energy, the motion estimation is carried out in the high resolution layer. Otherwise, all layers are used. The final motion vectors are obtained in the first wavelet transformed layer. So less bits for motion vectors are transmitted, and the decomposition of received image using inverse wavelet transform decreases the blocking effect.

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A Study on Application of Wavelet Transform to Electrical Load Discriminations (부하(負荷) 판별(判別)을 위한 Wavelet 변환(變煥)의 응용에 관한 연구)

  • Kim, Tae-Hong;Lee, Sang-Soo;Sung, Sang-Gui;Lee, Ki-Young;Ji, Suk-Jun;Lee, Joon-Tark
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.3050-3052
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    • 2000
  • Recently. the subject of "wavelet analysis" has drawn much attention from both mathematical and engineering application fields such as Signal Processing, Compression/ Decomposition, Statistics and etc. Analogous to Fourier analysis, wavelets is a versatile tool with very rich mathematical content and great potential for applications. Specially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. In this paper, discrimination analyses of acquired electrical current signals for each and mixed loads were tried by using Morlet wavelet transform. Their representative loads were classified as TV, DRY, REF, and FL.

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Diagnosis of Transform Aging using Discrete Wavelet Analysis and Neural Network (이산 웨이블렛 분석과 신경망을 이용한 변압기 열화의 전단)

  • 박재준;윤만영;오승헌;김진승;김성홍;백관현;송영철;권동진
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.07a
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    • pp.645-650
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    • 2000
  • The discrete wavelet transform is utilized as processing of neural network(NN) to identifying aging state of internal partial discharge in transformer. The discrete wavelet transform is used to produce wavelet coefficients which are used for classification. The mean values of the wavelet coefficients are input into an back-propagation neural network. The networks, after training, can decide if the test signals is aging early state or aging last state, or normal state.

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Path Tracking Control Using a Wavelet Neural Network for Mobile Robots (웨이블릿 신경 회로망을 이용한 이동 로봇의 경로 추종 제어)

  • Oh, Joon-Seop;Park, Jin-Bae;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2414-2416
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    • 2003
  • In this raper, we present a Wavelet Neural Network(WNN) approach to the solution of the tracking problem for mobile robots that possess complexity, nonlinearity and uncertainty. The neural network is constructed by the wavelet orthogonal decomposition to form a wavelet neural network that can overcome the problems caused by local minima of optimization and various uncertainties. This network structure is helpful to determine the number of the hidden nodes and the initial value of weights with compact structure. In our control method, the control signals are directly obtained by minimizing the difference between the reference track and the pose of a mobile robot that is controlled through a wavelet neural network. The control process is a dynamic on-line process that uses the wavelet neural network trained by the gradient-descent method. Through computer simulations, we demonstrate the effectiveness and feasibility of the proposed control method.

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INVESTIGATION OF REACTOR CONDITION MONITORING AND SINGULARITY DETECTION VIA WAVELET TRANSFORM AND DE-NOISING

  • Kim, Ok-Joo;Cho, Nan-Zin;Park, Chang-Je;Park, Moon-Ghu
    • Nuclear Engineering and Technology
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    • v.39 no.3
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    • pp.221-230
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    • 2007
  • Wavelet theory was applied to detect a singularity in a reactor power signal. Compared to Fourier transform, wavelet transform has localization properties in space and frequency. Therefore, using wavelet transform after de-noising, singular points can easily be found. To test this theory, reactor power signals were generated using the HANARO(a Korean multi-purpose research reactor) dynamics model consisting of 39 nonlinear differential equations contaminated with Gaussian noise. Wavelet transform decomposition and de-noising procedures were applied to these signals. It was possible to detect singular events such as a sudden reactivity change and abrupt intrinsic property changes. Thus, this method could be profitably utilized in a real-time system for automatic event recognition(e.g., reactor condition monitoring).

Image Processing Using Multiplierless Binomial QMF-Wavelet Filters (곱셈기가 없는 이진수 QMF-웨이브렛 필터를 사용한 영상처리)

  • 신종홍;지인호
    • Journal of Broadcast Engineering
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    • v.4 no.2
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    • pp.144-154
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    • 1999
  • The binomial sequences are family of orthogonal sequences that can be generated with remarkable simplicity-no multiplications are necessary. This paper introduces a class of non-recursive multidimensional filters for frequency-selective image processing without multiplication operations. The magnitude responses are narrow-band. approximately gaussian-shaped with center frequencies which can be positioned to yield low-pass. band-pass. or high-pass filtering. Algorithms for the efficient implementation of these filters in software or in hardware are described. Also. we show that the binomial QMFs are the maximally flat magnitude square Perfect Reconstruction paraunitary filters with good compression capability and these are shown to be wavelet filters as well. In wavelet transform the original image is decomposed at different scales using a pyramidal algorithm architecture. The decomposition is along the vertical and horizontal direction and maintains constant the number of pixels required to describe the images. An efficient perfect reconstruction binomial QMF-Wavelet signal decomposition structure is proposed. The technique provides a set of filter solutions with very good amplitude responses and band split. The proposed binomial QMF-filter structure is efficient, simple to implement on VLSl. and suitable for multi-resolution signal decomposition and coding applications.

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Digital Watermarking Method for User's Certification of Camera-Phone (카메라 폰 상에서 사용자 인증을 위한 디지털 워터마킹 기법)

  • Lee, Seung-Ik;Sohn, Jae-Sik;Im, Sung-Woon;Kim, Duk-Gyoo
    • Journal of Korea Society of Industrial Information Systems
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    • v.13 no.3
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    • pp.1-8
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    • 2008
  • In the event of a traffic accident, a fire accident, or a criminal act, anyone will be able to capture these important moments and use authentic photographs for evidence purposes. Digital watermarking is able to ensure that the digital photographs taken from a particular camera-phone are authentic and indeed. This paper presents a blind image watermarking technique for digital phone camera. This method is based on singular value decomposition (SVD) and wavelet decomposition. Experimental results show that the proposed technique performs well in security and robustness against JPEG compression.

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Forecasting Bulk Freight Rates with Machine Learning Methods

  • Lim, Sangseop;Kim, Seokhun
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.7
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    • pp.127-132
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    • 2021
  • This paper applies a machine learning model to forecasting freight rates in dry bulk and tanker markets with wavelet decomposition and empirical mode decomposition because they can refect both information scattered in the time and frequency domain. The decomposition with wavelet is outperformed for the dry bulk market, and EMD is the more proper model in the tanker market. This result provides market players with a practical short-term forecasting method. This study contributes to expanding a variety of predictive methodologies for one of the highly volatile markets. Furthermore, the proposed model is expected to improve the quality of decision-making in spot freight trading, which is the most frequent transaction in the shipping industry.

A Study on the Application of Wavelet Transform to Faults Current Discrimination (Wavelet 변환을 이용한 고장 전류의 판별에 관한 연구)

  • Jeong, Jong-Won;Jo, Hyun-Woo;Kim, Tae-Woo;Lee, Joon-Tark
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.427-430
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    • 2002
  • Recently the subject of "wavelet analysis" has be drawn by both mathematical and engineering application fields such as Signal Processing, Compression/Decomposition, Wavelet-Neural Network, Statistics and etc. Even though its similar to Fourier analysis, wavelet is a versatile tool with much mathematical content and great potential for applications. Especially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. Therefore, wavelet transform has good time-analysis ability for high frequency component, and has good frequency-analysis ability for low frequency component. Using the discriminative ability is more easy method than other conventional techniques. In this paper, Morlet wavelet transform was applied to discriminate the kind of line fault by acquired data from real power transformation network. The experimental result presented that Morlet wavelet transform is easier,and more useful method than the FFT (Fast Fourier Transform).