• Communications of the Korean Mathematical Society
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• v.15 no.1
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• pp.1-27
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• 2000

위너공간과 추상 위너공간 위에서의 푸리에-파인만 변환, 푸리에-위너 변환 그리고 합성곱을 정의하고 여러가지 형태의 함수들에 대한 변환과 합성곱의 존재정리 및 여러가지 성질을 소개한다. 또한, 이 함수들의 파시발 관계와 프란셰렐 관계에 대해서도 알아본다.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.97-108
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• 2008

In this paper, we investigate the analytic Feynman integral, the analytic Fourier-Feynman transform and convolution product on Wiener space. We then consider various results between these concepts.

• Journal of Institute of Control, Robotics and Systems
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• v.4 no.3
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• pp.301-307
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• 1998

이 논문에서는 다항식 서로소 인수로 표시되는 위너-호프 제어기의 계산상의 어려움을 극복하기 위하여 상태공간 변수 공식이 개발되었다. 위너-호프 인수 행렬을 이용하여 주어진 다항식 서로소 인수로부터 안정 유리행렬의 서로소 인수를 구하였으며 이 결과를 이용하여 위너-호프 제어기의 공식을 유리행렬의 서로소 인수로 표현한 후 이를 이용하여 상태공간 계수를 구하였다.

• The Journal of the Acoustical Society of Korea
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• v.39 no.5
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• pp.490-496
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• 2020

We present a method to improve the performance of the multi-channel Wiener filter in noisy environment. To build subspace-based multi-channel Wiener filter, in the case of single target source, the target speech component can be effectively estimated in the principal subspace of speech correlation matrix. The speech correlation matrix can be estimated by subtracting noise correlation matrix from signal correlation matrix based on the assumption that the cross-correlation between speech and interfering noise is negligible compared with speech correlation. However, this assumption is not valid in the presence of strong interfering noise and significant error can be induced in the principal subspace accordingly. In this paper, we propose to adjust the principal subspace vector using speech presence probability and the steering vector for the desired speech source. The multi-channel speech presence probability is derived in the principal subspace and applied to adjust the principal subspace vector. Simulation results show that the proposed method improves the performance of multi-channel Wiener filter in noisy environment.

• Communications of the Korean Mathematical Society
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• v.15 no.3
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• pp.435-451
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• 2000

섀논의 샘플링 정리는 여러 방향으로 확장 발전되어왔으나 본 논문에서는 초함수 이론으로 다룰 수 있는 방향, 즉 좀 더 큰 공간에 속하는 함수에 대한 샘플링 정리를 얻는 것이다. 먼저 샘플링이론의 기본정리인 섀논-코텔니코프 공식을 소개하고 그 자연스런 확장인 페일리-위너 공간, 번스타인 공간에서의 샘플링정리 등을 다루었고 번스타인 공간의 자연스런 확장인 유계인 받침을 갖는 초함수의 푸리에변환 즉, 실공간 위에서 다항식정도로 증가하는 전해석함수에 대한 샘플링 정리를 소개한다. 끝으로 우리의 최근 결과인 실공간 위에서 지수적으로 증가하는 전해석 함수에 대한 샘플링 정리와 그 응용, 그리고 오차추정 등을 다룬다.

• Journal of Broadcast Engineering
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• v.23 no.4
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• pp.519-525
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• 2018

This paper deals with noise suppression of multi-channel data captured by microphone array using multi-channel Wiener filter. Multi-channel Wiener filter does not rely on information about the direction of the target speech and can be partitioned into an MVDR (Minimum Variance Distortionless Response) spatial filter and a single channel spectral filter. The acoustic transfer function between the single speech source and microphones can be estimated by subspace decomposition of multi-channel Wiener filter. The errors are incurred in the estimation of the acoustic transfer function due to the errors in the estimation of correlation matrices, which in turn results in speech distortion in the MVDR filter. To alleviate the speech distortion in the MVDR filter, diagonal loading is applied. In the experiments, database with seven microphones was used and MFCC distance was measured to demonstrate the effectiveness of the diagonal loading.

• Proceedings of the Acoustical Society of Korea Conference
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• 1998.06c
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• pp.439-443
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• 1998

본 연구에서는 50% Tukey 창함수를 이용하여 위너필터를 설계하고 표면결함의 영상을 개선하였다. 이 위너필터는 높은 공간주파수 성분에 대해 낮은 잡음이득을 주며 안정된 필터 동작 특성을 보였다. 실험을 위하여 쿼드러춰 방식의 초음파현미경을 구성하고 시편으로 10원주화를 사용하였다. 실험결과 개선된 영상은 블러링 효과가 제거되어 우수한 영상 화질을 나타내었다.

• Journal of Broadcast Engineering
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• v.18 no.3
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• pp.455-462
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• 2013

This paper introduces the Spatially Preprocessed Speech Distortion Weighted Multi-channel Wiener Filter (SP-SDW-MWF) for multi-microphone noise reduction and proposes a method to determine the speech distortion weights. The SP-SDW-MWF is known as a robust noise reduction algorithm against the error caused by the mismatch in microphones. The SP-SDW-MWF adopts weights which determine the amount of noise reduction at the expense of introducing speech distortion in the noise-suppressed speech. In this paper, we use the error of power spectral density between the estimated signal and the desired signal as the evaluation measure. Thus the a priori SNR is used to control the speech distortion weights in the frequency domain. In the experimental results, the proposed method yields better result in terms of MFCC distortion compared to the conventional method.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.25 no.8B
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• pp.1400-1412
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• 2000

In this paper, we propose a technique for image enhancement, especially for denoising and deblocking based on wavelets. In this proposed algorithm, frame wavelet system designed as a optimal edge detector was used. And our theory depends on Lipschitz regularity, spatial correlation, and some important assumptions. The performance of the proposed algorithm was compared with three popular test images in image processing area. Experimental results show that the performance of the proposed algorithm was better than other previous denoising techniques like spatial averaging filter, Gaussian filter, median filter, Wiener filter, and some other wavelet based filters in the aspect of both PSNR and human visual system, The experimental results also show approximately the same capability of deblocking as the previous developed techniques

• Journal of the Korean Society of Radiology
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• v.17 no.6
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• pp.911-917
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• 2023

The method of observing nodular changes on the liver surface using clinical ultrasonography is useful for diagnosing cirrhosis. However, the speckle noise that inevitably occurs in ultrasound images makes it difficult to identify changes in the liver surface and echo patterns, which has a negative impact on the diagnosis of cirrhosis. The purpose of this study is to model the median modified Wiener filter (MMWF), which can efficiently reduce noise in cirrhotic ultrasound images, and confirm its applicability. Ultrasound images were acquired using an ACR phantom and an actual cirrhotic patient, and the proposed MMWF algorithm and conventional noise reduction algorithm were applied to each image. Coefficient of variation (COV) and edge rise distance (ERD) were used as quantitative image quality evaluation factors for the acquired ultrasound images. We confirmed that the MMWF algorithm improved both COV and ERD values compared to the conventional noise reduction algorithm in both ACR phantom and real ultrasound images of cirrhotic patients. In conclusion, the proposed MMWF algorithm is expected to contribute to improving the diagnosis rate of cirrhosis patients by reducing the noise level and improving spatial resolution at the same time.