• Title/Summary/Keyword: Wavelet denoising

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Denoising based on Wavelet Footprints (웨이블릿 발자국 흔적을 기초로 한 잡음 제거)

  • Heo, Geol;Jung, Won-Yong
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.66-69
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    • 2003
  • 웨이블릿 변환이 소개된 후, 웨이블릿 임계치 기법이 신호의 잡음제거에 중요한 효과를 가져왔다. 그러나 웨이블릿 임계치 잡음제거 기법 역시 불연속점 주위에서 의사깁스 현상을 일으키는 단점을 가지고 있다. 본 논문은 웨이블릿 발자국 흔적(Wavelet Footprints) 알고리즘을 소개한다. 웨이블릿의 시간영역에서의 특이점들에 의해 남겨진 흔적이라는 의미를 가지는 발자국 흔적의 새로운 개념을 도입하여 불연속 주위의 의사 깁스 현상을 개선하고자 한다. 제안된 알고리즘은 더 일반적인 신호들로 확장되어지고, 신호의 잡음제거와 같은 문제에 효과적인 해법을 제시 할 수 있다.

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Level Selection of the Multi-Resolution Analysis(MRA) for Optimum Denoising Performance of the Discrete Wavelet Transform(DWT) (이산 웨이블릿 변환(DWT)의 디노이징 최적 성능을 위한 다해상도 분석의 레벨 선택 연구)

  • Whang, J.Y.;Kim, J.H.
    • Proceedings of the KIPE Conference
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    • 2015.07a
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    • pp.465-466
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    • 2015
  • 배터리 관리시스템(BMS;battery management system)의 중요 고려요소인 SOC(state-of-charge) 및 SOH(state-of-health)의 전기적 등가회로 모델 기반 고성능 추정의 전제 조건은 배터리 단자전압의 안정된 실험데이터 확보이다. 그러나, 예상치 않은 에러로 인해 배터리 단자전압에 노이즈 성분이 포함될 경우 SOC 및 SOH 추정알고리즘의 성능저하가 우려된다. 이를 위해, 본 논문은 이산 웨이블릿 변환(DWT;discrete wavelet transform)의 다해상도 분석(MRA;multi resolution analysis) 레벨에 따른 디노이징 최적 성능을 소개하고자 한다. 하드 임계화(hard-thresholding) 및 소프트 임계화(soft-thresholding) 기법에 따른 디노이징 성능 차이를 보이고, 각 임계화 기법 적용 시 디노이징 최적 성능을 보이는 레벨을 선택한다.

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A Study on Fault Detection of Cycle-based Signals using Wavelet Transform (웨이블릿을 이용한 주기 신호 데이터의 이상 탐지에 관한 연구)

  • Lee, Jae-Hyun;Kim, Ji-Hyun;Hwang, Ji-Bin;Kim, Sung-Shick
    • Journal of the Korea Society for Simulation
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    • v.16 no.4
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    • pp.13-22
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    • 2007
  • Fault detection of cycle-based signals is typically performed using statistical approaches. Univariate SPC using few representative statistics and multivariate analysis methods such as PCA and PLS are the most popular methods for analyzing cycle-based signals. However, such approaches are limited when dealing with information-rich cycle-based signals. In this paper, process fault defection method based on wavelet analysis is proposed. Using Haar wavelet, coefficients that well reflect the process condition are selected. Next, Hotelling's $T^2$ chart using selected coefficients is constructed for assessment of process condition. To enhance the overall efficiency of fault detection, the following two steps are suggested, i.e. denoising method based on wavelet transform and coefficient selection methods using variance difference. For performance evaluation, various types of abnormal process conditions are simulated and the proposed algorithm is compared with other methodologies.

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A Study on the Denoising Method by Multi-threshold for Underwater Transient Noise Measurement (수중 천이소음측정을 위한 다중 임계치 잡음제거기법 연구)

  • 최재용;도경철
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.6
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    • pp.576-584
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    • 2002
  • This paper proposes a new denosing method using wavelet packet, to reject unknown external noise and white gaussian ambient noise for measuring the transient noise which is one of the important elements for ship classification. The previous denosing method applied the same wavelet threshold at each node of multi-single sensors for rejecting white noise is not adequate in the underwater environment existing lots of external noises. The proposed algorithm of this paper applies a modified soft-threshold to each node according to the discriminated threshold so as to reject unknown external noise and white gaussian ambient noise. It is verified by numerical simulation that the SNR is increased more than 25㏈. And the simulation results are confirmed through sea-trial using multi-single sensors.

Quincunx Sampling Method For Improvement of Double-Density Wavelet Transformation (이중 밀도 웨이브렛 변환의 성능 향상을 위한 Quincunx 표본화 기법)

  • Lim, Joong Hee;Shin, Jong Hong
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.8 no.1
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    • pp.171-181
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    • 2012
  • This paper introduces the double-density discrete wavelet transform(DWT) using quincunx sampling, which is a DWT that combines the double-density DWT and quincunx sampling method, each of which has its own characteristics and advantages. The double-density DWT is an improvement upon the critically sampled DWT with important additional properties: Firstly, It employs one scaling function and two distinct wavelets, which are designed to be offset from one another by one half. Secondly, the double-density DWT is overcomplete by a factor of two, and Finally, it is nearly shift-invariant. In two dimensions, this transform outperforms the standard DWT in terms of denoising; however, there is room for improvement because not all of the wavelets are directional. That is, although the double-density DWT utilizes more wavelets, some lack a dominant spatial orientation, which prevents them from being able to isolate those directions. A solution to this problem is a quincunx sampling method. The quincunx lattice is a sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Proposed wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, This method services good performance in image processing fields.

Denoising Images by VisuShrink Technique Using the Estimated Noise Power in the Highest Equal Subband of Wavelet (웨이블릿 고주파 균열 서브밴드에서 추정된 잡음전력을 적용한 VisuShrink 기법의 영상 잡음제거)

  • Park, Nam-Chun;Woo, Chang-Yong
    • Journal of the Institute of Convergence Signal Processing
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    • v.13 no.1
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    • pp.26-31
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    • 2012
  • The highest frequency band of wavelet decomposition band is divided into 4 equal subbands and by the minimum power of the subbands and by the monotonic transform, the level adapted threshold is obtained. The adapted threshold is applied to the soft threshold technique to denoise high and middle frequency band noise of image signals. And the results of PSNRs are compared with the results obtained by the VisuShrink technique and by the technique using the monotonic transform and the weight value. The results showed the validity of this technique.

Denoising Algorithm using Wavelet and Element Deviation-based Median Filter (웨이브렛과 원소 편차 기반의 중간값 필터를 이용한 잡음제거 알고리즘)

  • Bae, Sang-Bum;Kim, Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.12
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    • pp.2798-2804
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    • 2010
  • The audio and image signal are corrupted by various noises in signal processing, many studies are being accomplished to restore those signals. In this paper, the algorithm is proposed to remove additive Gaussian noise and impulse noise at one dimension signal like an speech signal. The algorithm is composed to remove Gaussian noise after removing impulse noise. And the method using wavelet coefficient accumulation is used to remove the Gaussian noise, and the median filter based on element deviation is applied to remove the impulse noise. Also we compare existing methods using SNR(signal-to-noise ratio) as the standard of judgement of improvemental effect.

Choice of Wavelet-Thresholds for Denoising image (잡음 제거를 위한 웨이블릿 임계값 결정)

  • Cho, Hyun-Sug;Lee, Hyoung
    • The KIPS Transactions:PartB
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    • v.8B no.6
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    • pp.693-698
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    • 2001
  • Noisy data are often fitted using a smoothing parameter, controlling the importance of two objectives that are opposite to a certain extent. One of these two is smoothness and the other is closeness to the input data. The optimal value of this parameter minimizes the error of the result. This optimum cannot be found exactly, simply because the exact data are unknown. This paper propose the threshold value for noise reduction based on wavelet-thresholding. In the proposed method PSNR results show that the threshold value performs excellently in comparison with conventional methods without knowing the noise variance and volume of signal.

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Medical Image Enhancement Using an Adaptive Nonlinear Histogram Stretching (적응적 비선형 히스트그램 스트레칭을 이용한 의료영상의 화질향상)

  • Kim, Seung-Jong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.1
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    • pp.658-665
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    • 2015
  • In the production of medical images, noise reduction and contrast enhancement are important methods to increase qualities of processing results. By using the edge-based denoising and adaptive nonlinear histogram stretching, a novel medical image enhancement algorithm is proposed. First, a medical image is decomposed by wavelet transform, and then all high frequency sub-images are decomposed by Haar transform. At the same time, edge detection with Sobel operator is performed. Second, noises in all high frequency sub-images are reduced by edge-based soft-threshold method. Third, high frequency coefficients are further enhanced by adaptive weight values in different sub-images. Finally, an adaptive nonlinear histogram stretching method is applied to increase the contrast of resultant image. Experimental results show that the proposed algorithm can enhance a low contrast medical image while preserving edges effectively without blurring the details.

Wavelet Based Non-Local Means Filtering for Speckle Noise Reduction of SAR Images (SAR 영상에서 웨이블렛 기반 Non-Local Means 필터를 이용한 스펙클 잡음 제거)

  • Lee, Dea-Gun;Park, Min-Jea;Kim, Jeong-Uk;Kim, Do-Yun;Kim, Dong-Wook;Lim, Dong-Hoon
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.595-607
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    • 2010
  • This paper addresses the problem of reducing the speckle noise in SAR images by wavelet transformation, using a non-local means(NLM) filter originated for Gaussian noise removal. Log-transformed SAR image makes multiplicative speckle noise additive. Thus, non-local means filtering and wavelet thresholding are used to reduce the additive noise, followed by an exponential transformation. NLM filter is an image denoising method that replaces each pixel by a weighted average of all the similarly pixels in the image. But the NLM filter takes an acceptable amount of time to perform the process for all possible pairs of pixels. This paper, also proposes an alternative strategy that uses the t-test more efficiently to eliminate pixel pairs that are dissimilar. Extensive simulations showed that the proposed filter outperforms many existing filters terms of quantitative measures such as PSNR and DSSIM as well as qualitative judgments of image quality and the computational time required to restore images.