• Title/Summary/Keyword: Wavelet coefficients

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Extraction of evoked potentials using the shrinkage and averaging method of wavelet coefficients (웨이브렛 계수를 축소와 평균 가산에 의한 유발전위뇌파신호의 추출)

  • 이용희;이두수
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.3
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    • pp.55-62
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    • 1997
  • For the effective removal of artifacts and the extraction of an improved evoked potential response, we propose the averaging method usin gthe shrinkag eof wavelet coefficients. The wavelet analysis decomposes the measured evoked potentials into scale coefficients with low frequency components and wavelet coefficients with high ones as a resolution level, respectively. and in the course of synthesis evoked potentials, the presented method shrinks the wavelet coefficients, and then reproduces the evoked potentials, and lastly averages it. We measured visual evoked potentials to simulate the averaging method using the shrinkage of wavelet coefficients, and compared it with aveaged signal. As a result of simulations, the proposed method gets improved VEP about 0.2-1.6dB in comparison with the averaging method with daubechies wavelet in the resolution level four.

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Denoising Based on the Adaptive Lifting

  • Lee, Chang-Soo;Yoo, Kyung-Yul
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.1E
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    • pp.13-19
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    • 1999
  • This paper introduces an adaptive wavelet transform based on the lifting scheme, which is applied to signal denoising. 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. Wavelet transforms are performed through three stages: the first stage or Lazy wavelet splits the data into two subsets, even and odd, the second stage calculates the wavelet coefficients (highpass) as the failure to interpolate or predict the odd set using the even, and the third stage updates the even set using neighboring odd points (wavelet coefficients) to compute the scaling function coefficients (lowpass). In this paper, we adaptively find some of the prediction coefficients for better representation of signals and this customizes wavelet transforms to provide an efficient framework for 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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A Bayesian Wavelet Threshold Approach for Image Denoising

  • Ahn, Yun-Kee;Park, Il-Su;Rhee, Sung-Suk
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.109-115
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    • 2001
  • Wavelet coefficients are known to have decorrelating properties, since wavelet is orthonormal transformation. but empirically, those wavelet coefficients of images, like edges, are not statistically independent. Jansen and Bultheel(1999) developed the empirical Bayes approach to improve the classical threshold algorithm using local characterization in Markov random field. They consider the clustering of significant wavelet coefficients with uniform distribution. In this paper, we developed wavelet thresholding algorithm using Laplacian distribution which is more realistic model.

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Adaptive High-order Variation De-noising Method for Edge Detection with Wavelet Coefficients

  • Chenghua Liu;Anhong Wang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.2
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    • pp.412-434
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    • 2023
  • This study discusses the high-order diffusion method in the wavelet domain. It aims to improve the edge protection capability of the high-order diffusion method using wavelet coefficients that can reflect image information. During the first step of the proposed diffusion method, the wavelet packet decomposition is a more refined decomposition method that can extract the texture and structure information of the image at different resolution levels. The high-frequency wavelet coefficients are then used to construct the edge detection function. Subsequently, because accurate wavelet coefficients can more accurately reflect the edges and details of the image information, by introducing the idea of state weight, a scheme for recovering wavelet coefficients is proposed. Finally, the edge detection function is constructed by the module of the wavelet coefficients to guide high-order diffusion, the denoised image is obtained. The experimental results showed that the method presented in this study improves the denoising ability of the high-order diffusion model, and the edge protection index (SSIM) outperforms the main methods, including the block matching and 3D collaborative filtering (BM3D) and the deep learning-based image processing methods. For images with rich textural details, the present method improves the clarity of the obtained images and the completeness of the edges, demonstrating its advantages in denoising and edge protection.

Wavelet-compressed Image Improvement Method Using Modification of Wavelet Coefficients (웨이블릿 계수조정을 통한 웨이블릿 압축영상의 화질 개선 방법)

  • 이호근;김윤태;김주원;하영호
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.1875-1878
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    • 2003
  • This paper Proposes a wavelet-based video compression method to improve compressed images using modification of wavelet coefficients. In conventional wavelet-based compression methods, bigger coefficients are transmitted early according to the significance of the coefficients. In this reason, when some coefficients which have more significance but are not bigger are not transmitted, image degradation occurs. The Proposed method considered two human visual characteristics. First, human eyes are more sensitive to the change of middle frequency which represents abrupt change of brightness than that of high frequency which expresses fine region. Second, human eyes are more dull to color component than luminance respectively. By adjusting the coefficients of wavelet transformed signals and allocating more bits for compression to the luminance signal, higher compression could be achieved.

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Secret Data Communication Method using Quantization of Wavelet Coefficients during Speech Communication (음성통신 중 웨이브렛 계수 양자화를 이용한 비밀정보 통신 방법)

  • Lee, Jong-Kwan
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.10d
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    • pp.302-305
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    • 2006
  • In this paper, we have proposed a novel method using quantization of wavelet coefficients for secret data communication. First, speech signal is partitioned into small time frames and the frames are transformed into frequency domain using a WT(Wavelet Transform). We quantize the wavelet coefficients and embedded secret data into the quantized wavelet coefficients. The destination regard quantization errors of received speech as seceret dat. As most speech watermark techniques have a trade off between noise robustness and speech quality, our method also have. However we solve the problem with a partial quantization and a noise level dependent threshold. In additional, we improve the speech quality with de-noising method using wavelet transform. Since the signal is processed in the wavelet domain, we can easily adapt the de-noising method based on wavelet transform. Simulation results in the various noisy environments show that the proposed method is reliable for secret communication.

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Extraction of evoked potentials using the shrinkage of wavelet coefficients (Wavelet 계수 억제에 의한 유발전위 뇌파 신호의 추출)

  • Lee, Y.H.;Park, H.S.;Kim, K.H.;Kim, S.I.;Lee, D.S.
    • Proceedings of the KOSOMBE Conference
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    • v.1996 no.11
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    • pp.229-232
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    • 1996
  • we propose the shrinkage of wavelet coefficients and the averaging method. The wavelet analysis decomposes the measured evoked potentials into scale coefficients and wavelet coefficients as a resolution level, respectively. And in the course of synthesis of evoked potentials, the presented method shrinks the wavelet coefficients, and then reproduces the evoked potentials and lastly averages it. we measured VEP signal to simulate the presented method, and compared it with averaged signal and LMS algorithm. As a result of simulations, the proposed method gets improved VEP about 0.2-1.6db in comparison with the result of averaging method.

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An Image Coding Method by Using the Bit-Level Information of Wavelet Coefficients (웨이블릿 계수의 비트 레벨 정보를 사용한 영상 부호화 기법)

  • Park, Sung-Wook;Park, Jong-Wook
    • Journal of Korea Society of Industrial Information Systems
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    • v.16 no.3
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    • pp.23-33
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    • 2011
  • In this paper, the wavelet image coder, that can encode the bit-level information of wavelet coefficients, is proposed. The proposed coder is used the modified EZW algorithm and significant coefficient array that has bit level information of the wavelet coefficients to reduce the memory requirement in coding process. The significant coefficient array is two dimensional data structure that has bit level information of the wavelet coefficients. The proposed algorithm performs the coding of the significance coefficients and coding of bit level information of wavelet coefficients at a time by using the significant coefficient array. Experimental results show a better or similar performance of the proposed method when compared with conventional embedded wavelet coding algorithm. Especially, the proposed algorithm performs stably without image distortion at various bit rates with minimum memory usage by using the significant coefficient array.

Image coding using quad-tree of wavelet coefficients (웨이블릿 계수의 쿼드트리를 이용한 영상 압축)

  • 김성탁;추형석;전희성;이태호;안종구
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.63-70
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    • 2001
  • EZW(Embedded coding using Zero-trees of Wavelet coefficients) decreases symbol-position information using zero-trees, but threshold value fall lot raising resolution, then coding cost of significant coefficients is expensive. To avoide this fact, this paper uses quad-tree representing coefficient-position information. a magnitude of significant coefficient is represented on matrix used at EZW. the proposed algorithm is hoped for raising a coding cost.

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The Psuedocolor Image Enhancement on Gray Image with Wavelet Filter Coefficients (웨이블릿 필터계수를 적용한 그레이 이미지의 의사컬러 향상에 관한 연구)

  • 유병근;김윤호;류광렬
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.260-263
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    • 2003
  • The pseudocolor mage enhancement of gray image using wavelet filter coefficients is presented. The psuedocolor enhancement is that the decomposition enhancement is realized by wavelet transform and RGB image is extracted by wavelet filter coefficients with norma waveletl. The result of experiment an increases enhanced gray image as 30dB compared the processing of wavelet filter coefficients.

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