• 대한수학회보
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• 제59권5호
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• pp.1131-1144
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• 2022

In this paper, we establish several basic formulas among the double-integral transforms, the double-convolution products, and the inverse double-integral transforms of cylinder functionals on abstract Wiener space. We then discuss possible relationships involving the double-integral transform.

• 전자공학회논문지
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• 제53권6호
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• pp.130-136
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• 2016

HEVC (High Efficiency Video Coding) 비디오 국제표준 확장기술은 스크린 콘텐츠를 주요 부호화 대상 영상 중 하나로 고려하는 스크린 콘텐츠용 비디오 압축 기술을 포함하고 있다. 표준화가 완료된 HEVC 버전 1에 이미 포함되어 있는 변환생략 기술은 변환을 생략하고 양자화만을 수행하는 기술로 스크린 콘텐츠와 같이 고주파 에너지를 많이 포함하는 영상에서 큰 압축률 향상을 보인다. 하지만 변환생략이 가능한 모든 $4{\times}4$ 변환블록에 대하여 변환생략 모드까지 포함한 선택가능한 모드 중에서 최적의 모드를 결정하여야 하므로 부호화기의 복잡도가 증가한다. 본 논문에서는 스크린 콘텐츠 부호화에 특히 효과적인 IBC(Intra block copy) 기술과 변환생략 기술간의 통계적 상관성을 이용한 고속 변환생략 모드 결정과, $4{\times}4$ 변환블록 마다 변환생략 여부를 나타내는 transform_skip_flag를 CU단에서 하나의 대표 플래그로 묶어 표현하는 변환생략 통합 시그널링 방법을 제안한다. 모의 실험을 통하여 제안 방법을 적용한 경우, $4{\times}4$ 변환 블록 부호화 시간을 약 32%를 절감할 수 있는 것을 확인하였다.

• The Journal of the Acoustical Society of Korea
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• 제17권2E호
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• pp.31-37
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• 1998

This paper proposes a feature extraction method using wavelet transform for speech recognition. Speech recognition system generally carries out the recognition task based on speech features which are usually obtained via time-frequency representations such as Short-Time Fourier Transform (STFT) and Linear Predictive Coding(LPC). In some respects these methods may not be suitable for representing highly complex speech characteristics. They map the speech features with same may not frequency resolutions at all frequencies. Wavelet transform overcomes some of these limitations. Wavelet transform captures signal with fine time resolutions at high frequencies and fine frequency resolutions at low frequencies, which may present a significant advantage when analyzing highly localized speech events. Based on this motivation, this paper investigates the effectiveness of wavelet transform for feature extraction of wavelet transform for feature extraction focused on enhancing speech recognition. The proposed method is implemented using Sampled Continuous Wavelet Transform (SCWT) and its performance is tested on a speaker-independent isolated word recognizer that discerns 50 Korean words. In particular, the effect of mother wavelet employed and number of voices per octave on the performance of proposed method is investigated. Also the influence on the size of mother wavelet on the performance of proposed method is discussed. Throughout the experiments, the performance of proposed method is discussed. Throughout the experiments, the performance of proposed method is compared with the most prevalent conventional method, MFCC (Mel0frequency Cepstral Coefficient). The experiments show that the recognition performance of the proposed method is better than that of MFCC. But the improvement is marginal while, due to the dimensionality increase, the computational loads of proposed method is substantially greater than that of MFCC.

• 융합신호처리학회논문지
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• 제9권4호
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• pp.253-260
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• 2008

영상향상 방법 중의 하나인 잡음제거는 공간영역과 변환영역 필터링에 대해서 많은 연구가 되어 왔다. 최근에는 에너지 집중도가 탁월하고 다분해능 성질을 갖는 웨이브릿 변환이 많이 사용되고 있다. 그러나 최종 사용자가 인간인 경우에는 인간시각체계에 기반한 변환을 사용하는 것이 시각적으로 유용하므로, 본 논문에서는 인간시각필터로 고려되는 Gabor 코사인과 사인 함수를 이용한 변환을 영상 잡음제거 분야에 적용하였다. 제안한 방법은 웨이브릿 변환과 다른 종류의 인간시각필터인 Gaussian 미분 변환에 대해서 피크신호대잡음비로 잡음제거 성능을 비교하였다. 여러 가지 잡음의 3가지 레벨에 대해서 실제 영상의 실험으로부터 제안한 변환이 BWT와 DGT보다 PSNR이 각각 0.41, 0.14dB 더 좋은 결과를 얻었다.

• 한국전자통신학회논문지
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• 제7권4호
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• pp.727-732
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• 2012

본 논문은 DCT, DWT와 역전파 신경망을 이용하여 MIT-BIH 부정맥 데이터베이스의 심전도 신호로부터 정상파와 부정맥 분류를 제안하였다. 역전파 신경망에 사용할 특징입력을 추출하기 위해 첫 번째 단계에서는 DCT 변환을 이용하여 15개의 계수를 선택하였다. 두 번째 단계에서는 DWT 변환 후 각 detail 계수들의 최대값, 최소값, 평균, 분산, 표준편차를 추출하였다. 역전파 신경망은 55개의 특징입력을 이용하여 정상파와 부정맥 파형을 분류하였고, 98.8%의 분류 성능을 나타냈다.

• Architectural research
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• 제11권1호
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• pp.7-14
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• 2009

In this paper, we take advantage of Wavelet Transform to identify damping ratios of membrane structures under wind action. Due to the lightweight and flexibility of membrane structures, they are very sensitive to the wind load, and show a type of fluid-structure interaction phenomenon simultaneously. In this study, we firstly obtain the responses of an air-supported membrane structure by ADINA with the consideration of this characteristic, and then conduct Wavelet Transform on these responses. Based on the Wavelet Transform, damping ratios could be obtained from the slope of Wavelet Transform in a semi-logarithmic scale at a certain dilation coefficient. According to this principle, damping ratios could eventually be obtained. There are two numerical examples in this study. The first one is a simulated signal, which is used to verify the accuracy of the Wavelet Transform method. The second one is an air-supported membrane structure under wind action, damping ratios obtained from this method is about 0.05~0.09. The Wavelet Transform method could be regarded as a very good method for the the damping analysis, especially for the large spatial structures whose natural frequencies are closely spaced.

• 한국철도학회논문집
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• 제9권2호
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• pp.187-192
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• 2006

The regularity of railway track alignment is a crucial component fur maintaining travel safety and the smoothness of passenger ride. The conventional spectral analysis has been considered to estimate the severity of the track irregularity from measured data. The time domain data used to be changed into the frequency domain by Fourier transform. Because the measuring points can be regarded as the time points, the spatial-frequency can be introduced instead of the time-frequency. Although FFT(Fast Fourier Transform) and/or PSD(Power Spectral Density) function could provide fairly localized information within frequency domain, but chronical configurations of data could be missed. In this study, we attempt to apply the Morlet wavelet transform for the purpose of a frequency-time-domain analysis rather than a frequency-domain analysis. The applicability of wavelet transform is examined for the estimation of the track irregularity with real measured track data on the section of Kyoung-bu line by EM-120 measuring vehicle. It is shown that the wavelet transform can be an effective tool to manage the track irregularity.

• Journal of electromagnetic engineering and science
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• 제6권4호
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• pp.244-252
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• 2006

A block Jacket transform and. its block inverse Jacket transformn have recently been reported in the paper 'Fast block inverse Jacket transform'. But the multiplication of the block Jacket transform and the corresponding block inverse Jacket transform is not equal to the identity transform, which does not conform to the mathematical rule. In this paper, new binary block Jacket transforms and the corresponding binary block inverse Jacket transforms of orders $N=2^k,\;3^k\;and\;5^k$ for integer values k are proposed and the mathematical proofs are also presented. With the aid of the Kronecker product of the lower order Jacket matrix and the identity matrix, the fast algorithms for realizing these transforms are obtained. Due to the simple inverse, fast algorithm and prime based $P^k$ order of proposed binary block inverse Jacket transform, it can be applied in communications such as space time block code design, signal processing, LDPC coding and information theory. Application of circular permutation matrix(CPM) binary low density quasi block Jacket matrix is also introduced in this paper which is useful in coding theory.

• 한국정보통신학회논문지
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• 제10권4호
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• pp.758-763
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• 2006

기초과학과 공학의 다양한 분야에서, 신호와 시스템을 정확하게 표현하고, 신호의 공간적, 시간적 변화로부터 유용한 정보를 획득하기 위한 많은 연구들이 수행되어 왔다. 이러한 분석 방법들에서, 신호를 주파수 성분들의 조합으로서 표현하는 퓨리에 변환은 가장 많은 분야에서 응용되고 있다. 그러나 퓨리에 변환은 시간 정보를 고려하지 않는 변환으로서 응용의 한계성을 지니고 있으므로 이를 극복하기 위해, 웨이브렛 변환을 비롯한 다양한 방법들이 제시되었다. 웨이브렛 변환은 스케일 변수에 따라 변화하는 윈도우를 사용하여 신호를 시간-스케일 공간상에서 표현하는 변환으로서, 다중해상도 분석이 가능하며, 응용환경에 따라 다양한 형태의 함수를 정의할 수 있다. 따라서 본 논문에서 신호의 특징을 검출하기 위해, 퓨리에 변환의 기저함수를 사용하여 웨이브렛 스펙트럼을 분석하였다.

• 디지털산업정보학회논문지
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• 제8권2호
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• pp.131-143
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• 2012

This paper introduces the double-density discrete wavelet transform using 3 direction separable processing method, which is a discrete wavelet transform that combines the double-density discrete wavelet transform and quincunx sampling method, each of which has its own characteristics and advantages. The double-density discrete wavelet transform is nearly shift-invariant. But 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. The dual-tree discrete wavelet transform has a more computationally efficient approach to shift invariance. Also, the dual-tree discrete wavelet transform gives much better directional selectivity when filtering multidimensional signals. But this transformation has more cost complexity Because it needs eight digital filters. Therefor, we need to hybrid transform which has the more directional selection and the lower cost complexity. A solution to this problem is a the double-density discrete wavelet transform using 3 direction separable processing method. The proposed wavelet transformation services good performance in image and video processing fields.