• Title/Summary/Keyword: wavelet basis functions

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Development of compression method for fault data of digital protection relay using wavelet transforms (웨이블렛 변환을 이용한 디지털 보호계전기용 고장전류 데이터 압축기법 개발)

  • Choi, Ho-Woong;Kim, Yoon-Hoe;Kim, Byung-Jin;Kim, Bo-In;Kim, Jung-Han
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.283-285
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    • 2005
  • Wavelet transforms provide basis functions for time-frequency analysis and have properties that are particularly useful for the compression of analogue point on wave transient and disturbance power system signals. This paper evaluates the compression properties of the discrete wavelet transform using actual power system data. The results presented in the paper indicate that reduction ratios up to 10:1 with acceptable distortion are achievable. This paper discussed the application of the reduction method for fault analysis and protection assessment.

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Feature Detection of Signals using Wavelet Spectrum Analysis (웨이브렛 스펙트럼 분석을 이용한 신호의 특징 검출)

  • Bae Sang-Bum;Kim Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.4
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    • pp.758-763
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    • 2006
  • In various fields of basic science and engineering, in order to present signals and systems exactly and acquire useful information from spatial and timely changes, many researches have been processed. In these methods, the Fourier transform which represents signal as the combination of the frequency component has been applied to the most fields. But as transform not to consider time information, the Fourier transform has its limitations of application. To overcome this problem, a variety of methods including the wavelet transform have been proposed. As transform to represent signal by using the changing window, according to scale parameter in time-scale domain, the wavelet transform is capable of multiresolution analysis and defines various functions according to the application environments. In this paper, to detect features of signal we analyzed wavelet the spectrum by using the basis function of the fourier transform.

A Study on the Extraction of Basis Functions for ECG Signal Processing (심전도 신호 처리를 위한 기저함수 추출에 관한 연구)

  • Park, Kwang-Li;Lee, Jeon;Lee, Byung-Chae;Jeong, Kee-Sam;Yoon, Hyung-Ro;Lee, Kyoung-Joung
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.4
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    • pp.293-299
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    • 2004
  • This paper is about the extraction of basis function for ECG signal processing. In the first step, it is assumed that ECG signal consists of linearly mixed independent source signals. 12 channel ECG signals, which were sampled at 600sps, were used and the basis function, which can separate and detect source signals - QRS complex, P and T waves, - was found by applying the fast fixed point algorithm, which is one of learning algorithms in independent component analysis(ICA). The possibilities of significant point detection and classification of normal and abnormal ECG, using the basis function, were suggested. Finally, the proposed method showed that it could overcome the difficulty in separating specific frequency in ECG signal processing by wavelet transform. And, it was found that independent component analysis(ICA) could be applied to ECG signal processing for detection of significant points and classification of abnormal beats.

Analyzing Characteristics of Fringe Pattern by Fresnelet Transform (프린지패턴의 프레넬릿 변환 특성에 대한 연구)

  • Seo, Young-Ho;Lee, Yoon-Hyuck;Kim, Dong-Wook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2018.05a
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    • pp.422-423
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    • 2018
  • In this paper, we implement Frenelet transform for decomposition of the fringe pattern and analyze its characteristics. The implemented wavelet-like basis functions are well suited for reconstruction and processing of optically generated Fresnel holograms. After analyzing the characteristics of the B-spline function, we will discuss the wavelet-like multi-resolution analysis method. Through this process, we implemented a transform tool that can decompose fringe patterns effectively. We have implemented a B-spline function with various decomposition properties and showed the results of decomposing the fringe pattern.

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Steganalysis Using Histogram Characteristic and Statistical Moments of Wavelet Subbands (웨이블릿 부대역의 히스토그램 특성과 통계적 모멘트를 이용한 스테그분석)

  • Hyun, Seung-Hwa;Park, Tae-Hee;Kim, Young-In;Kim, Yoo-Shin;Eom, Il-Kyu
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.47 no.6
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    • pp.57-65
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    • 2010
  • In this paper, we present a universal steganalysis scheme. The proposed method extract features of two types. First feature set is extracted from histogram characteristic of the wavelet subbands. Second feature set is determined by statistical moments of wavelet characteristic functions. 3-level wavelet decomposition is performed for stego image and cover image using the Haar wavelet basis. We extract one features from 9 high frequency subbands of 12 subbands. The number of second features is 39. We use total 48 features for steganalysis. Multi layer perceptron(MLP) is applied as classifier to distinguish between cover images and stego images. To evaluate the proposed steganalysis method, we use the CorelDraw image database. We test the performance of our proposed steganalysis method over LSB method, spread spectrum data hiding method, blind spread spectrum data hiding method and F5 data hiding method. The proposed method outperforms the previous methods in sensitivity, specificity, error rate and area under ROC curve, etc.

Unsupervised Incremental Learning of Associative Cubes with Orthogonal Kernels

  • Kang, Hoon;Ha, Joonsoo;Shin, Jangbeom;Lee, Hong Gi;Wang, Yang
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.1
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    • pp.97-104
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    • 2015
  • An 'associative cube', a class of auto-associative memories, is revisited here, in which training data and hidden orthogonal basis functions such as wavelet packets or Fourier kernels, are combined in the weight cube. This weight cube has hidden units in its depth, represented by a three dimensional cubic structure. We develop an unsupervised incremental learning mechanism based upon the adaptive least squares method. Training data are mapped into orthogonal basis vectors in a least-squares sense by updating the weights which minimize an energy function. Therefore, a prescribed orthogonal kernel is incrementally assigned to an incoming data. Next, we show how a decoding procedure finds the closest one with a competitive network in the hidden layer. As noisy test data are applied to an associative cube, the nearest one among the original training data are restored in an optimal sense. The simulation results confirm robustness of associative cubes even if test data are heavily distorted by various types of noise.

A Study on Matching Pursuit Interpolation with Moveout Correction (시간차 보정을 적용한 Matching Pursuit 내삽 기법 연구)

  • Lee, Jaekang;Byun, Joongmoo;Seol, Soon Jee;Kim, Young
    • Geophysics and Geophysical Exploration
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    • v.21 no.2
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    • pp.103-111
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    • 2018
  • The recent research aim of seismic trace interpolation is to effectively interpolate the data with spatial aliasing. Among various interpolation methods, the Matching Pursuit interpolation, that finds the proper combination of basis functions which can best recover traces, has been developed. However, this method cannot interpolate aliased data. Thus, the multi-component Matching Pursuit interpolation and moveout correction method have been proposed for interpolation of spatially aliased data. It is difficult to apply the multi-component Matching Pursuit interpolation to interpolating the OBC (Ocean Bottom Cable) data which is the multi-component data obtained at the ocean bottom because the isolation of P wave component is required in advance. Thus, in this study, we dealt with an effective single-component matching Pursuit interpolation method in OBC data where P-wave and S-wave are mixed and spatial aliasing is present. To do this, we proposed the Ricker wavelet based single-component Matching Pursuit interpolation workflow with moveoutcorrection and systematically investigated its effectiveness. In this workflow, the spatial aliasing problem is solved by applying constant value moveout correction to the data before the interpolation is performed. After finishing the interpolation, the inverse moveout correction is applied to the interpolated data using the same constant velocity. Through the application of our workflow to the synthetic OBC seismic data, we verified the effectiveness of the proposed workflow. In addition, we showed that the interpolation of field OBC data with severe spatial aliasing was successfully performed using our workflow.