• 제목/요약/키워드: wavelet basis

검색결과 143건 처리시간 0.025초

Optimum time history analysis of SDOF structures using free scale of Haar wavelet

  • Mahdavi, S.H.;Shojaee, S.
    • Structural Engineering and Mechanics
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    • 제45권1호
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    • pp.95-110
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    • 2013
  • In the recent decade, practical of wavelet technique is being utilized in various domain of science. Particularly, engineers are interested to the wavelet solution method in the time series analysis. Fundamentally, seismic responses of structures against time history loading such as an earthquake, illustrates optimum capability of systems. In this paper, a procedure using particularly discrete Haar wavelet basis functions is introduced, to solve dynamic equation of motion. In the proposed approach, a straightforward formulation in a fluent manner is derived from the approximation of the displacements. For this purpose, Haar operational matrix is derived and applied in the dynamic analysis. It's free-scaled matrix converts differential equation of motion to the algebraic equations. It is shown that accuracy of dynamic responses relies on, access of load in the first step, before piecewise analysis added to the technique of equation solver in the last step for large scale of wavelet. To demonstrate the effectiveness of this scheme, improved formulations are extended to the linear and nonlinear structural dynamic analysis. The validity and effectiveness of the developed method is verified with three examples. The results were compared with those from the numerical methods such as Duhamel integration, Runge-Kutta and Wilson-${\theta}$ method.

웨이블렛 변환과 인공신경망을 이용한 일 TOC 자료의 예측에 관한 연구 (Study on the Prediction of Daily TOC Data by Using Wavelet Transform and Artificial Neural Networks)

  • 곽필정;오창열;진영훈;박성천
    • 한국물환경학회지
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    • 제22권5호
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    • pp.952-957
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    • 2006
  • The present study applied wavelet transform and artificial neural networks (ANNs) for the prediction of daily TOC data. TOC data were transformed into denoised data by the wavelet transform and the noise-reduced data were used for the prediction model by artificial neural networks. For the application of wavelet transform, Daubechies wavelet of order 10 ('db10') was used as a basis function and decomposed the TOC data up to fifth level with five detail components and one approximation component. ANNs were calibrated with the input data of the segregated TOC data corresponding to the details from second to fifth level and the approximation. Consequently, the ANNs model for the prediction of daily TOC data showed the best result when it had seventeen hidden nodes in its layer.

IN-CYLINDER FLOW ANALYSIS USING WAVELET ANALYSIS

  • Park, D.;Sullivan, P.E.;Wallace, J.S.
    • International Journal of Automotive Technology
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    • 제7권3호
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    • pp.289-294
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    • 2006
  • Better fundamental understanding of the interactions between the in-cylinder flows and combustion process is an important requirement for further improvement in the fuel economy and emissions of internal combustion(IC) engines. Flow near a spark plug at the time of ignition plays an important role for early flame kernel development(EFKD). Velocity data measurements in this study were made with a two-component laser Doppler velocimetry(LDV) near a spark plug in a single cylinder optical spark ignition(SI) engine with a heart-shaped combustion chamber. LDV velocity data were collected on an individual cycle basis under wide-open motored conditions with an engine speed of 1,000rpm. This study examines and compares the flow fields as interpreted through ensemble, cyclic and discrete wavelet transformation(DWT) analysis. The energy distributions in the non-stationary engine flows are also investigated over crank angle phase and frequency through continuous wavelet transformation(CWT) for a position near a spark plug. Wavelet analysis is appropriate for analyzing the flow fields in engines because it gives information about the transient events in a time and frequency plane. The results of CWT analysis are provided and compared with the mean flows of DWT first decomposition level for all cycles at a position. Low frequency high energy found with CWT corresponds well with the peak locations of the mean velocity. The high frequency flows caused by the intake jet gradually decay as the piston approaches the bottom dead center(BDC).

음악과 음성 판별을 위한 웨이브렛 영역에서의 특징 파라미터 (Feature Parameter Extraction and Analysis in the Wavelet Domain for Discrimination of Music and Speech)

  • 김정민;배건성
    • 대한음성학회지:말소리
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    • 제61호
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    • pp.63-74
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    • 2007
  • Discrimination of music and speech from the multimedia signal is an important task in audio coding and broadcast monitoring systems. This paper deals with the problem of feature parameter extraction for discrimination of music and speech. The wavelet transform is a multi-resolution analysis method that is useful for analysis of temporal and spectral properties of non-stationary signals such as speech and audio signals. We propose new feature parameters extracted from the wavelet transformed signal for discrimination of music and speech. First, wavelet coefficients are obtained on the frame-by-frame basis. The analysis frame size is set to 20 ms. A parameter $E_{sum}$ is then defined by adding the difference of magnitude between adjacent wavelet coefficients in each scale. The maximum and minimum values of $E_{sum}$ for period of 2 seconds, which corresponds to the discrimination duration, are used as feature parameters for discrimination of music and speech. To evaluate the performance of the proposed feature parameters for music and speech discrimination, the accuracy of music and speech discrimination is measured for various types of music and speech signals. In the experiment every 2-second data is discriminated as music or speech, and about 93% of music and speech segments have been successfully detected.

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Simulation of earthquake records using combination of wavelet analysis and non-stationary Kanai-Tajimi model

  • Amiri, G. Ghodrati;Bagheri, A.
    • Structural Engineering and Mechanics
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    • 제33권2호
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    • pp.179-191
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    • 2009
  • This paper is aimed at combining wavelet multiresolution analysis and nonstationary Kanai-Tajimi model for the simulation of earthquake accelerograms. The proposed approach decomposes earthquake accelerograms using wavelet multiresolution analysis for the simulation of earthquake accelerograms. This study is on the basis of some Iranian earthquake records, namely Naghan 1977, Tabas 1978, Manjil 1990 and Bam 2003. The obtained results indicate that the simulated records preserve the significant properties of the actual accelerograms. In order to investigate the efficiency of the model, the spectral response curves obtained from the simulated accelerograms have been compared with those from the actual records. The results revealed that there is a good agreement between the response spectra of simulated and actual records.

웨이블릿 변환을 이용한 순차적 영상 부호화 (Progressive Image Coding using Wavelet Transform)

  • 김용연
    • 한국전자통신학회논문지
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    • 제9권1호
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    • pp.33-40
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    • 2014
  • 본 논문에서는 웨이블릿 변환 특성을 이용한 대역별 계층적 비트 플레인을 구성, 비트 플레인별로 순차적 전송을 수행하는 새로운 영상 부호화 방법을 제안한다. 제안한 방식은 Antonini의 웨이블릿 기저함수를 사용하여 대역 분할된 영상을 특정대역과 다양한 해상도를 갖는 대역들로 나누어 분리함으로써 다해상도를 지원한다. 대역별 특성을 고려한 부호화의 전송 시 대역별 영상의 우선순위를 고려할 수 있고, 영상의 고속 검색에도 응용될 수 있다.

CDMA 통신을 위한 Wavelet,기저 최적 비이원 확산부호계열 발생 (Generation of Wavelet-Based Optimal Non-Binary Spreading Code Sequences for CDMA Communication)

  • 이정재
    • 한국정보통신학회논문지
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    • 제2권4호
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    • pp.511-517
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    • 1998
  • 본 논문에서는 CDMA 통신을 위한 확산부호계열의 발생에 대한 새로운 기술을 소개하였다. Wavelet 패킷 부분공간을 이루는 기저의 직교성을 이용한 최적확산부호계열 발생의 효율적인 방법을 제시하고 3단계 QMF의 구조를 이용하여 최적부호계열을 발생하였다. 발생된 최적부호계열은 통상적인 PN 기저 Gold 부호 계열과는 달리 비이원으로 불규칙적인 형태로 발생되므로 의도적인 방해자로부터 보안성을 유지할 수 있으며 또한 상관함수 특성이 우수함을 보였다.

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Wavelet변환을 이용한 VEP신호 진단에 대한 연구 (A Study on the Diagnosis of VEP Signal by using Wavelet transform)

  • 서강도;최창효;심재창;조진호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 합동 추계학술대회 논문집 정보 및 제어부문
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    • pp.459-460
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    • 2001
  • In this paper, we analyze algorithms for diagnosing of VEP(visual evoked potential) signal. We used wavelet transform for the preprocessing of VEP signal data and back propagation neural network for the pattern recognition. We used several wavelets to study their effects and efficiency in the preprocessing of VEP. The diagnosis system led to good results. We obtained the noise reduced and compressed signal with the wavelet transform of the training VEP signal. So it is possible to train the neural network faster and exact diagnosis processing is possible in the neural network. From the experimental results, we know that the discrimination ability of the neural network is changed by the type of basis vector and the proposed system is good to the diagnosis of VEP.

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멀티스케일 적응 웨이블렛-갤러킨 기법을 이용한 박막 고유치 문제 해석 (Eigenvalue Analysis of a Membrane Using the Multiscale Adaptive Wavelet-Galerkin Method)

  • 이용섭;김윤영
    • 대한기계학회논문집A
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    • 제28권3호
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    • pp.251-258
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    • 2004
  • Since the multiscale wavelet-based numerical methods allow effective adaptive analysis, they have become new analysis tools. However, the main applications of these methods have been mainly on elliptic problems, they are rarely used for eigenvalue analysis. The objective of this paper is to develop a new multiscale wavelet-based adaptive Galerkin method for eigenvalue analysis. To this end, we employ the hat interpolation wavelets as the basis functions of the finite-dimensional trial function space and formulate a multiresolution analysis approach using the multiscale wavelet-Galerkin method. It is then shown that this multiresolution formulation makes iterative eigensolvers very efficient. The intrinsic difference-checking nature of wavelets is shown to play a critical role in the adaptive analysis. The effectiveness of the present approach will be examined in terms of the total numbers of required nodes and CPU times.

웨이브릿 변환 영역에서 다중 해상도를 이용한 특징점 추적 알고리즘 (Feature tracking algorithm using multi resolution in wavelet transform domain)

  • 장성군;석정엽;진상훈;김성운;여보연
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.447-448
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    • 2006
  • In this paper, we propose tracking algorithm using multi resolution in wavelet transform domain. This algorithm consists of two steps. The first step is feature extraction that is select feature-points using 1-level wavelet transform in ROI (Region of Interest). The other step is feature tracking. Based on multi resolution of wavelet transform, we estimate a displacement between current frame and next frame on the basis of selected feature-points. Experimental results show that the proposed algorithm confirmed a better performance than a centroid tracking and correlation tracking.

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