• International Journal of Control, Automation, and Systems
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• 제1권3호
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• pp.390-394
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• 2003

To classify the significant wavelet coefficients into edge area and noise area, a morphological clustering filter applied to wavelet shrinkage is introduced. New methods for wavelet shrinkage using morphological clustering filter are used in noise removal, and the performance is evaluated under various noise conditions.

• 소음진동
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• 제10권5호
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• pp.769-774
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• 2000

The purpose of the work is to present successful applications of a modified wavelet shrinkage method for the accurate and fast estimation of a transfer function. Although the experimental process of determining a transfer function introduces not only Gaussian but also non-Gaussian noises, most existing estimation methods are based only on a Gaussian noise model. To overcome this limitation, we propose to employ a modified wavelet shrinkage method in which L1 -based median filtering and L2 -based wavelet shrinkage are applied repeatedly. The underlying theory behind this approach is briefly explained and the superior performance of this modified wavelet shrinkage technique is demonstrated by a numerical example.

• 한국음향학회지
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• 제19권4호
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• pp.3-15
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• 2000

본 논문은 웨이블렛 영역에서 신호성분을 보존하면서 첨부된 잡음성분을 제거할 수 있는 새로운 잡음제거 필터를 제시한다. 적응적 웨이블렛 수축(AWS) 필터라 불리는 제안된 필터는 웨이블렛 제거기와 적응적 수축기의 두 개 연산기로 구성되어 있으며 각각의 연산기는 웨이블렛 계수의 국부적 통계성을 이용하여 적응적으로 추정되는 threshold에 의존하여 선택되는데 웨이블렛 제거기는 threshold보다 작은 웨이블렛 계수들을 0으로 대신하여 웨이블렛 영역에서 잡음을 제거하게 된다. 또한 적응적 수축기는 threshold보다 큰 계수들을 적응적으로 수축하여 신호성분을 보존하면서 잡음성분을 줄이게 된다. 실험 결과, 제안된 필터는 기존의 방법들보다 잡음을 제거하면서 신호성분을 보존하는데 더욱 효과적임을 보여준다.

• Journal of the Korean Data and Information Science Society
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• 제19권4호
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• pp.1465-1476
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• 2008

In recent years wavelet methods have been focused on block shrinkage or thresholding approaches to accounting for the sparseness of the wavelet representation for an unknown function. The block shrinkage or thresholding methods have been developed in both of classical methods and Bayesian methods. In this paper, we propose a Bayesian approach to selecting wavelet basis functions at each resolution level without MCMC procedure. Simulation study and an application are shown.

• Communications for Statistical Applications and Methods
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• 제30권3호
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• pp.311-330
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• 2023

The present work describes simulation studies to compare the performances in terms of averaged mean squared error of bayesian wavelet shrinkage methods in estimating component curves from aggregated functional data. Five bayesian methods available in the literature were considered to be compared in the studies: The shrinkage rule under logistic prior, shrinkage rule under beta prior, large posterior mode (LPM) method, amplitude-scale invariant Bayes estimator (ABE) and Bayesian adaptive multiresolution smoother (BAMS). The so called Donoho-Johnstone test functions, logit and SpaHet functions were considered as component functions and the scenarios were defined according to different values of sample size and signal to noise ratio in the datasets. It was observed that the signal to noise ratio of the data had impact on the performances of the methods. An application of the methodology and the results to the tecator dataset is also done.

• 융합신호처리학회논문지
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• 제8권4호
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• pp.255-265
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• 2007

웨이블릿 축소 기법으로 영상신호의 잡음을 제거할 때, 웨이블릿 계수들이 상관관계를 갖는 경우 잡음제거 효과가 저하된다. 멀티웨이블릿 변환된 계수 들은 사전 필터의 영향으로 상관관계를 갖게 된다. 이러한 문제점을 해결하기위해 V Sterela에 의해 Universal 경계 값 적용을 위한 사전 필터를 새로 설계하거나 가중 값을 적용하는 기법이 제시되었다. 본 논문에서는 멀티웨이블릿 변환 영역에서 웨이블릿 축소 기법의 잡음제거 효과를 향상시키기 위해, 대역의 계수를 추정된 잡음편차로 나누는 계수 정규화기법을 Universal, SURE 및 GCV 경계 값에 적용하여 잡음을 제거하는 시도를 하였다. 각 경계 값들에 대한 PSNR을 비교하여 이 기법의 실용성을 확인하였다.

• 한국데이터정보과학회:학술대회논문집
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• 한국데이터정보과학회 2005년도 춘계학술대회
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• pp.83-126
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• 2005

Single-index models have found applications in econometrics and biometrics, where multidimensional regression models are often encountered. Here we propose a nonparametric estimation approach that combines wavelet methods for non-equispaced designs with Bayesian models. We consider a wavelet series expansion of the unknown regression function and set prior distributions for the wavelet coefficients and the other model parameters. To ensure model identifiability, the direction parameter is represented via its polar coordinates. We employ ad hoc hierarchical mixture priors that perform shrinkage on wavelet coefficients and use Markov chain Monte Carlo methods for a posteriori inference. We investigate an independence-type Metropolis-Hastings algorithm to produce samples for the direction parameter. Our method leads to simultaneous estimates of the link function and of the index parameters. We present results on both simulated and real data, where we look at comparisons with other methods.

• 전자공학회논문지S
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• 제34S권3호
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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.

• 대한전자공학회논문지SP
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• 제46권6호
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• pp.112-122
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• 2009

본 논문에서는 베이글릿-웨이블릿 분석(vaguelette-wavelet decomposition; VWD)을 이용한 공간-주파수 적응적 영상복원 알고리듬을 제안한다. 제안한 알고리듬은 웨이블릿 계수의 공간적 정보를 이용하여 평탄 영역과 에지 영역을 분리하고, 적응적 웨이블릿 계수축소(wavelet shrinkage)를 통해 잡음 성분을 억제한다. 뿐만 아니라, 에지 영역에서는 엔트로피(entropy)를 적용 하여 웨이블릿 부대역의 잡음 성분을 추정하고, 부대역 간의 상관관계를 이용하여 잡음 성분을 억제한다. 이렇게 억제된 웨이블릿 계수의 베이글릿 역변환을 통해 영상을 복원 할 수 있다. 제안한 알고리듬에 사용되는 베이글릿 함수는 잡음을 추정 및 억제 할 수 있을 뿐만 아니라 세밀한 에지 성분의 보존이 가능하도록 변형을 한다. 실험결과에서는 제안한 알고리듬이 잡음에 강건하고, 세밀한 에지 성분을 보전하면서 효과적으로 열화된 영상을 복원할 수 있음을 보여준다.

• Journal of the Korean Statistical Society
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• 제31권3호
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• pp.343-357
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• 2002

This paper proposes a method for producing smooth and positive estimates of the intensity function of an inhomogeneous Poisson process based on the shrinkage of wavelet coefficients of the observed counts. The information projection is used in conjunction with the level-dependent thresholds to yield smooth and positive estimates. This work is motivated by and demonstrated within the context of a problem involving gamma-ray burst data in astronomy. Simulation results are also presented in order to show the performance of the information projection estimators.