• Title/Summary/Keyword: Wavelets Transform

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Fast Binary Wavelet Transform (고속 이진 웨이블렛 변환)

  • 강의성;이경훈;고성제
    • Proceedings of the IEEK Conference
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    • 2001.09a
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    • pp.25-28
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    • 2001
  • A theory of binary wavelets has been recently proposed by using two-band perfect reconstruction filter banks over binary field . Binary wavelet transform (BWT) of binary images can be used as an alternative to the real-valued wavelet transform of binary images in image processing applications such as compression, edge detection, and recognition. The BWT, however, requires large amount of computations since its operation is accomplished by matrix multiplication. In this paper, a fast BWT algorithm which utilizes filtering operation instead or matrix multiplication is presented . It is shown that the proposed algorithm can significantly reduce the computational complexity of the BWT. For the decomposition and reconstruction or an N ${\times}$ N image, the proposed algorithm requires only 2LN$^2$ multiplications and 2(L-1)N$^2$addtions when the filter length is L, while the BWT needs 2N$^3$multiplications and 2N(N-1)$^2$additions.

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An analysis of Ultrasound signals using wavelet transform (I) (Wavelets 변환을 이용한 초음파 신호의 분석 (I))

  • Hong, S.W.;Yoon, S.J.;Choi, H.H.
    • Proceedings of the KOSOMBE Conference
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    • v.1997 no.05
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    • pp.391-394
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    • 1997
  • In this paper, we considered newly the use of wavelet transform in order to improve the troubles of the established methods for the analysis of ultrasound echo signals. We made the phantoms of 13.2g, 19.8g, 26.4g, 33.0g, 39.8g by ourselves, and extracted the only pulse-echo signals that reflected through the mediums using windowing technique. For determining the characterized value, the signals were wavelet transformed, absoluted, and integral calculated. As the result, we acquired characterized value of each signals, and acknowledged the differences among them except of some datas. But this will be improved by advanced work as sellecting a proper mother wavelet, a method of making phantoms, correcting the various errors, etc. We expect that wavelet transform is powerful for analysis of ultrasound signals.

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

  • Seo, Gang-Do;Choi, Chang-Hyo;Shim, Jae-Chang;Cho, Jin-Ho
    • Proceedings of the KIEE Conference
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    • 2001.11c
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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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A High Impedance Fault Detection Algorithm Using Wavelet Transform (Wavelet 변환을 이용한 배전 계통의 고 저항 사고 검출 알고리즘)

  • Nam, S.R.;Kang, Y.C.;Kim, S.S.;Sohn, J.M.;Park, J.K.;Jang, S.I.;Kim, K.H.;Kim, I.D.
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.975-978
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    • 1997
  • This Paper presents a high impedance fault (HIF) detection algorithm of distribution systems using wavelet transform. Two HIFs on dry soil and sandy soil were simulated on various load conditions in 22.9 kV distribution systems using EMTP, and the current wavelets were decomposed by wavelet transform. The current root mean square(rms) change, the index change rate and the relative amplitude change were used as the multi-criteria for a HIF detection. The index change rate and the relative amplitude were made using the wavelet coefficients.

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Synchrosqueezed wavelet transform for frequency and damping identification from noisy signals

  • Montejo, Luis A.;Vidot-Vega, Aidcer L.
    • Smart Structures and Systems
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    • v.9 no.5
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    • pp.441-459
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    • 2012
  • Identification of vibration parameters from the analysis of the dynamic response of a structure plays a key role in current health monitoring systems. This study evaluates the capabilities of the recently developed Synchrosqueezed Wavelet Transform (SWT) to extract instant frequencies and damping values from the simulated noise-contaminated response of a structure. Two approaches to estimate the modal damping ratio from the results of the SWT are presented. The results obtained are compared to other signal processing methods based on Continuous Wavelet (CWT) and Hilbert-Huang (HHT) transforms. It was found that the time-frequency representation obtained via SWT is sharped than the obtained using just the CWT and it allows a more robust extraction of the individual modal responses than using the HHT. However, the identification of damping ratios is more stable when the CWT coefficients are employed.

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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Nonlinear Wavelet Transform Using Lifting (리프팅을 이용한 비선형 웨이블릿 변환)

  • Lee, Chang-Soo;Yoo, Kyung-Yul
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3224-3226
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    • 1999
  • This paper introduces a nonlinear wavelet transform based on the lifting scheme, which is applied to signal denoising through the translation invariant wavelet transform. The wavelet representation using orthogonal wavelet bases has received widespread attention. Recently the lifting scheme has been developed for the construction of biorthogonal wavelets in the spatial domain. In this paper, we adaptively reduce the vanishing moments in the discontinuities to suppress the ringing artifacts and this customizes wavelet transforms providing an efficient framework for the translation invariant denoising. Special care has been given to the boundaries, where we design a set of different prediction coefficients to reduce the prediction error.

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Foreign Detection Based on Wavelet Transform Algorithm with Image Analysis Mechanism in the Inner Wall of the Tube

  • Zhu, Jinlong;Yu, Fanhua;Sun, Mingyu;Zhao, Dong;Geng, Qingtian
    • Journal of Information Processing Systems
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    • v.15 no.1
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    • pp.34-46
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    • 2019
  • A method for detecting foreign substances in mould based on scatter grams was presented to protect moulds automatically during moulding production. This paper proposes a wavelet transform foreign detection method based on Monte Carlo analysis mechanism to identify foreign objects in the tube. We use the Monte Carlo method to evaluate the image, and obtain the width of the confidence interval by the deviation statistical gray histogram to divide the image type. In order to stabilize the performance of the algorithm, the high-frequency image and the low-frequency image are respectively drawn. By analyzing the position distribution of the pixel gray in the two images, the suspected foreign object region is obtained. The experiments demonstrate the effectiveness of our approach by evaluating the labeled data.

Prediction of the Water Level of the Tidal River using Artificial Neural Networks and Stationary Wavelets Transform (인공신경망과 정상 웨이블렛 변환을 활용한 감조하천 수위 예측)

  • Lee, Jeongha;Hwang, SeokHwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.357-357
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    • 2021
  • 홍수로 인한 침수피해 발생을 최소화하기 위해 정확한 하천의 수위 예측과 리드타임 확보가 매우 중요하다. 특히 조석현상의 영향을 받는 감조하천의 경우 기존의 물리적 수문모형의 적용이 제한되어 하천수위 예측의 정확도가 떨어지기도 한다. 따라서 본 연구에서는 이러한 감조하천 수위 예측의 정확도를 높이기 위해 조석현상을 분리하고 인공신경망을 활용하는 하이브리드 모델을 제안 하였으며 다중 선형회귀분석과 비교 분석하였다. 감조하천에 위치한 교량의 수위데이터에서 Stationary Wavelet Transform으로 조석현상을 분리하였으며, 이외의 수위에 영향을 주는 time series data와 인공신경망(ANN)을 활용하여 1시간, 2시간, 3시간 후의 수위를 예측하였다. 하이브리드 모델은 96% 이상의 정확도를 보였으며 다중 선형회귀 분석과 비교하여도 높은 정확성을 보여주었다.

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An Experiment on Volume Data Compression and Visualization using Wavelet Transform (웨이블릿 변환을 이용한 볼륨데이타의 압축 및 가시화 실험)

  • 최임석;권오봉;송주환
    • Journal of KIISE:Computing Practices and Letters
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    • v.9 no.6
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    • pp.646-661
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    • 2003
  • It is not easy that we visualize the large volume data stored in the every client computers of the web environment. One solution is as follows. First we compress volume data, second store that in the database server, third transfer that to client computer, fourth visualize that with direct-volume-rendering in the client computer. In this case, we usually use wavelet transform for compressing large data. This paper reports the experiments for acquiring the wavelet bases and the compression ratios fit for the above processing paradigm. In this experiments, we compress the volume data Engine, CThead, Bentum into 50%, 10%, 5%, 1%, 0.1%, 0.03% of the total data respectively using Harr, Daubechies4, Daubechies12 and Daubechies20 wavelets, then visualize that with direct-volume-rendering, afterwards evaluate the images with eyes and image comparison metrics. When compression ratio being low the performance of Harr wavelet is better than the performance of the other wavelets, when compression ratio being high the performance of Daubechies4 and Daubechies12 is better than the performance of the other wavelets. When measuring with eyes the good compression ratio is about 1% of all the data, when measuring with image comparison metrics, the good compression ratio is about 5-10% of all the data.