• 제목/요약/키워드: Stationary wavelet transform

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Q인자 조절 가능 2차원 이산 웨이브렛 변환 필터의 설계와 성능분석 (Tunable Q-factor 2-D Discrete Wavelet Transformation Filter Design And Performance Analysis)

  • 신종홍
    • 디지털산업정보학회논문지
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    • 제11권1호
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    • pp.171-182
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    • 2015
  • The general wavelet transform has profitable property in non-stationary signal analysis specially. The tunable Q-factor wavelet transform is a fully-discrete wavelet transform for which the Q-factor Q and the asymptotic redundancy r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The transform is based on a real valued scaling factor and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its over-sampling rate, with modest over-sampling rates being sufficient for the analysis/synthesis functions to be well localized. This paper describes filter design of 2D discrete-time wavelet transform for which the Q-factor is easily specified. With the advantage of this transform, perfect reconstruction filter design and implementation for performance improvement are focused in this paper. Hence, the 2D transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. Therefore, application for performance improvement in multimedia communication field was evaluated.

웨이블릿 변환을 이용한 계측 가속도 기록의 이중 적분법 (Double Integration of Measured Acceleration Record Using Wavelet Transform)

  • 이형진;박정식
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 추계 학술발표회 논문집
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    • pp.181-188
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    • 2002
  • It is well known that double integration of measured acceleration records are very difficult, particularly in the case of measurements on civil engineering structures. The measured accelerations on civil structures usually contain non-gaussian and low-frequency noises as well as acceleration records are non-stationary. For this type of signals, wavelet transform can be useful because of its inherent processing abilities for non-stationary signals. In this paper, the do-noising algorithm using the wavelet transform are slightly extended to process non-gaussian and low frequency noises, using median filter concepts. The example studies show that the integration can be improved using proposed method.

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Adaptive Wavelet Analysis of Non-Stationary Vibration Signal in Rotor Dynamics

  • Ji Guoyi;Park Dong-Keun;Chung Won-Jee;Lee Choon-Man
    • International Journal of Precision Engineering and Manufacturing
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    • 제6권4호
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    • pp.26-30
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    • 2005
  • A rotor run-up or run-down process provide more useful information for modal analysis than normal operation conditions. A traditional difficulty associated with rotor run-up or run-down analysis is the non-stationary nature of vibration data. This paper compares Short-Time Fourier Transform (STFT) and the wavelets analysis in these non-stationary signal analyses. An Adaptive Wavelet Analysis (AWT) is proposed to analyze these signals. Although simulations and experiments in a simple rotor-bearing system show that both STFT and AWT can be used to analyze non-stationary vibration signals in rotor dynamics, proposed AWT provides better results than STFT analysis. From the amplitude-frequency curve obtained by AWT, the modal frequency and damping ratio are calculated. This paper also analyzes the characteristics of signals when the shaft touches the outer hoop in a run-up process. The AWT can give a good result in this complex dynamic analysis of the touching process.

웨이블렛 변환을 이용한 부분 방전 신호 분석 (An Analysis of Partial Discharge signal Using Wavelet Transforms)

  • 박재준;장진강;임윤석;심종탁;김재환
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1999년도 춘계학술대회 논문집
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    • pp.169-172
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    • 1999
  • Recently, the wavelet transform has been a new and powerful tool for signal processing. It is more suitable specially for the feature extraction and detection of non-stationary signals than traditional methods such as, the Fourier Transform(FT), the Fast Fourier Transform(FFT) and the Least Square Method etc. because of the characteristic of the multi-scale analysis and time-frequency domain localization. The wavelet transform has been developed for the analysis of PD pulse signal to raise in the progress of insulation degradation. In this paper, the wavelet transform was applied to one foundational method for feature extraction. For the obtain experimental data, a computer-aided partial discharge measurement system with a single acoustic sensor was used. If we are applying to the neural network method the accumulated data through the extracted feature, it is expected that we can detect the PD pulse signal in the insulation materials on the on-line.

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STFT, 고차위그너분포 및 웨이브렛 변환 기술을 이용한 탄성파 추적 (An Analysis of the Wave Propagation of a Structure Based on STFT, Higher Order Time-frequency Analysis and Wavelet Transform)

  • 이상권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.827-832
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    • 2003
  • There has been a number methods for the presentation of time-frequency analysis of non-stationary signal. In this paper, STFT(short time Fourier transform), wavelet transform, Wigner distribution, and higher order Wigner distribution are discussed in details with simulation signals. They are also applied to the analysis of the wave propagation of a semi finite beam. Wigner distribution and higher order Wigner distribution have good time-frewuency resolutions. Wavelet transform is required for impact analysis but should be applied carefully. STFT suffers from time-frequency resolutions. Each method is has its advantage and disadvantage depending on each application signals.

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맞대기 용접 이음재 인장시험에서 발생한 음향방출 신호의 웨이블릿 변환과 응용 (A Study on the Wavelet Transform of Acoustic Emission Signals Generated from Fusion-Welded Butt Joints in Steel during Tensile Test and its Applications)

  • 이장규
    • 한국공작기계학회논문집
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    • 제16권1호
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    • pp.26-32
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    • 2007
  • This study was carried out fusion-welded butt joints in SWS 490A high strength steel subjected to tensile test that load-deflection curve. The windowed or short-time Fourier transform(WFT or STFT) makes possible for the analysis of non-stationary or transient signals into a joint time-frequency domain and the wavelet transform(WT) is used to decompose the acoustic emission(AE) signal into various discrete series of sequences over different frequency bands. In this paper, for acoustic emission signal analysis to use a continuous wavelet transform, in which the Gabor wavelet base on a Gaussian window function is applied to the time-frequency domain. A wavelet transform is demonstrated and the plots are very powerful in the recognition of the acoustic emission features. As a result, the technique of acoustic emission is ideally suited to study variables which control time and stress dependent fracture or damage process in metallic materials.

맞대기 용접 이음재 인장시험에서 발생한 음향방출 신호의 웨이블릿 변환과 응용 (A Study on the Wavelet Transform of Acoustic Emission Signals Generated from Fusion-Welded Butt Joints in Steel during Tensile Test and its Applications)

  • 이장규;윤종희;우창기;박성완;김봉각;조대희
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2005년도 춘계학술대회 논문집
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    • pp.342-348
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    • 2005
  • This study was carried out fusion-welded butt joints in SWS 490A high strength steel subjected to tensile test that load-deflection curve. The windowed or short-time Fourier transform (WFT or SIFT) makes possible for the analysis of non-stationary or transient signals into a joint time-frequency domain and the wavelet transform (WT) is used to decompose the acoustic emission (AE) signal into various discrete series of sequences over different frequency bands. In this paper, for acoustic emission signal analysis to use a continuous wavelet transform, in which the Gabor wavelet base on a Gaussian window function is applied to the time-frequency domain. A wavelet transform is demonstrated and the plots are very powerful in the recognition of the acoustic emission features. As a result, the technique of acoustic emission is ideally suited to study variables which control time and stress dependent fracture or damage process in metallic materials.

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정상 웨이블렛 변환을 이용한 로버스트 영상 융합 (Robust Image Fusion Using Stationary Wavelet Transform)

  • 김희훈;강승효;박재현;하현호;임진수;임동훈
    • 응용통계연구
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    • 제24권6호
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    • pp.1181-1196
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    • 2011
  • 영상 융합은 특징이 다른 두 개 이상의 영상에 대하여 각 영상의 특징을 모두 갖는 하나의 영상으로 재구성하는 기술로 의료 분야, 군사 분야, 원격 탐사 분야 등 여러 분야에 활용되고 있다. 지금까지 웨이블렛 기반 영상 융합은 주로 이산 웨이블렛 변환 하에서 고주파 영역에서는 표준편차와 같은 액티비티(activity) 측도를 사용하고 저주파 영역에서는 두 영상의 픽셀값의 평균을 취함으로써 이루어져 왔다. 그러나, 이산 웨이블렛 변환은 이동불변(translation-invariance)하지 않으므로 융합 영상에 블록 인공물이 생기곤 한다. 본 논문에서는 이산 웨이블렛 변환의 단점을 보완한 정상 웨이블렛 변환을 이용하여 고주파 영역에서는 영상 특징에 민감하지 않은 사분위수 범위를 사용하고 저주파 영역에서는 고주파 영역의 사분위수 범위 정보를 이용하여 영상을 융합하고자 한다. 영상 실험 결과, 제안된 방법은 정성적이고 정량적인 평가에서 입력 영상의 종류에 관계없이 로버스트한 결과를 낳음을 알 수 있었다.

Adaptive Wavelet Based Speech Enhancement with Robust VAD in Non-stationary Noise Environment

  • Sungwook Chang;Sungil Jung;Younghun Kwon;Yang, Sung-il
    • The Journal of the Acoustical Society of Korea
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    • 제22권4E호
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    • pp.161-166
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    • 2003
  • We present an adaptive wavelet packet based speech enhancement method with robust voice activity detection (VAD) in non-stationary noise environment. The proposed method can be divided into two main procedures. The first procedure is a VAD with adaptive wavelet packet transform. And the other is a speech enhancement procedure based on the proposed VAD method. The proposed VAD method shows remarkable performance even in low SNRs and non-stationary noise environment. And subjective evaluation shows that the performance of the proposed speech enhancement method with wavelet bases is better than that with Fourier basis.

웨이브렛 변환을 이용한 전력품질 데이터 압축에 관한 연구 (Power Quality Data Compression using Wavelet Transform)

  • 정영식
    • 대한전기학회논문지:전력기술부문A
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    • 제54권12호
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    • pp.561-566
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    • 2005
  • This paper introduces a compression technique for power qualify disturbance signal via discrete wavelet transform(DWT). The proposed approach is based on a previous estimation of the stationary component of power quality disturbance signal, so that it could be subtracted from the original signal in order to reduce a dynamic range of signal and generate transient events signal, which is subsequently applied to the compression technique. The compression techniques is performed through the difference signal decomposition, thresholding of wavelet coefficients, and signal reconstruction. It presents the relation between compression efficiency and threshold. It shouts that the wavelet transform leads to a power quality data compression approach with high compression efficiency, small compression error and good de-nosing effect.