• Journal of applied mathematics & informatics
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• 제8권1호
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• pp.59-69
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• 2001

The paper deals with the interaction between three Griffith cracks propagating under antiplane shear stress at the interface of two dissimilar infinite elastic half-spaces. The Fourier transform technique is used to reduce the elastodynamic problem to the solution of a set of integral equations which has been solved by using the finite Hilbert transform technique and Cooke’s result. The analytical expressions for the stress intensity factors at the crack tips are obtained. Numerical values of the interaction efect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to other and crack tip spacing. AMS Mathematics Subject Classification : 73M25.

• 응용통계연구
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• 제24권1호
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• pp.35-43
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• 2011

이 논문에서는 이산코사인변환(discrete cosine transform) 계수를 이용하여 AR(1) 과정에서 단위근을 검정하는 방법을 소개한다. 제안하고자 하는 방법의 이론적 타당성을 보이기 위해 정상 AR(1) 과정과 확률보행과정 하에서의 이산코사인변환 계수의 통계적 성질을 비교한다. 비교 결과를 이용하여 단위근 여부를 확인할 수 있는 검정통계량을 제안하고 붓스트랩을 활용하여 검정통계량의 분포를 유도한다. 모의실험을 통해 기존 Dickey-Fuller 검정과 검정력 비교를 실시하였다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.49-65
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• 2000

A method for inverting the Laplace transform is presented, using a finite series of the classical Legendre polynomials. The method recovers a real-valued function f(t) in a finite interval of the positive real axis when f(t) belongs to a certain class ${\mathcal{W}}_{\beta}$ and requires the knowledge of its Laplace transform F(s) only at a finite number of discrete points on the real axis s > 0. The choice of these points will be carefully considered so as to improve the approximation error as well as to minimize the number of steps needed in the evaluations. The method is tested on few examples, with particular emphasis on the estimation of the error bounds involved.

• Computers and Concrete
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• 제4권3호
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• pp.243-257
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• 2007

A novel method for recognition, characterization, and quantification of deterioration in bridge components and laboratory concrete samples is presented in this paper. The proposed scheme is based on grey level co-occurrence matrix texture analysis using Haar's discrete wavelet transform on concrete imagery. Each image is described by a subset of band-filtered images containing wavelet coefficients, and then reconstructed images are employed in characterizing the texture, using grey level co-occurrence matrices, of the different types and degrees of damage: map-cracking, spalling and steel corrosion. A comparative study was conducted to evaluate the efficiency of the supervised maximum likelihood and unsupervised K-means classification techniques, in order to classify and quantify the deterioration and its extent. Experimental results show both methods are relatively effective in characterizing and quantifying damage; however, the supervised technique produced more accurate results, with overall classification accuracies ranging from 76.8% to 79.1%.

• 대한의용생체공학회:학술대회논문집
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• 대한의용생체공학회 1997년도 춘계학술대회
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• pp.391-394
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• 1997

In this paper, we considered newly the use of wavelet transform in order to improve the troubles of the established methods for the analysis of ultrasound echo signals. We made the phantoms of 13.2g, 19.8g, 26.4g, 33.0g, 39.8g by ourselves, and extracted the only pulse-echo signals that reflected through the mediums using windowing technique. For determining the characterized value, the signals were wavelet transformed, absoluted, and integral calculated. As the result, we acquired characterized value of each signals, and acknowledged the differences among them except of some datas. But this will be improved by advanced work as sellecting a proper mother wavelet, a method of making phantoms, correcting the various errors, etc. We expect that wavelet transform is powerful for analysis of ultrasound signals.

• 응용통계연구
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• 제13권2호
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• pp.525-540
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• 2000

본 논문에서는 측우기 관측자료와 현대 관측자료로 이루어진 서울 강수량 시계열 자료에 나타난 시간에 따른(년도별 및 계절별)변화 및 변동 특성을 파악하고자 한다. 이를 위하여 먼저 200여년 간의 강수량 시계열에 어떤 특정한 증감 추세가 있는지를 알아보는 추세분석을 실시하였다. 그리고 추세뿐만 아니라 시간에 따른 강수량의 주기성 및 변동성을 더 자세히 알기 위하여 파엽 변환(wavelet transform)을 실시하여 여러 진동 모드들의 시간에 따른 변화 양상을 분석하였다.

• 대한전자공학회논문지
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• 제26권11호
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• pp.1880-1885
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• 1989

In this paper, a new approach for systolic array realizing the discrete cosine transform (DCT) based on discrete Fourier transform (DFT) of an input sequence is presented. The proposed array is based on a simple modified DFT(MDFT) version of the Goertzel algorithm combined with Kung's approach and is proved perfectly. This array requires N cells, one multiplier and takes N clock cycles to produce a complete N-point DCT and also is able to process a continuous stream of data sequences. We have analyzed the output signal-to-noise ratio(SNR) and designed the circuit level layout of one-PE chip. The array coefficients are static adn thus stored-product ROM's can be used in place of multipliers to limit cost as eliminate errors due to coefficients quantization.

• 한국컴퓨터정보학회논문지
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• 제4권2호
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• pp.135-140
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• 1999

본 논문은 영상 부호화시에 걸리는 오랜 시간을 줄이기 위해 스케일링 방식과 탐색영역 제한방식을 이용한 어핀변환 부호화 방식을 제안한다. 제안한 방법의 성능을 평가하기 위해, 제안한 알고리즘과 전통적인 어핀변환 부호화 방식을 사용하는 Jacquin의 방법과 비교하였다. 시뮬레이션 결과, 제안한 알고리즘은 스케일링 방식과 탐색영역 제한 방식을 사용하므로써, 부호화 시간을 상당히 줄일 수 있었다. Jacquin의 방식과 비교해, 복원된 영상의 화질은 약간 저하되었지만 부호화 시간을 많이 단축하였다.

• 전자공학회논문지S
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• 제34S권1호
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• pp.105-114
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• 1997

The phase retrieval problem is concerned with the reconstruction of a signal or its fourier transform phase form the fourier transform magnitude of the signal. This problem does not have a unique solution, in general. If, however, the desired signal is minimum-phase, then it can be decided uniquely. This paper shows that we can make a minimum-phase signal by adding a delta function having a large value at the origin of an arbitrary one-dimensional signal, and a two-dimensional signal can be uniquely specified from its fourier transform magnitude if it is added by a delta function having a large value at the origin, and finally we can solve a two-dimensional phase retrieval problem by decomposing it into several ine-dimensional phase retrieval problems.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1999년도 하계학술대회 논문집 C
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• pp.1130-1132
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• 1999

This paper presents the feature extraction of fault current related to the multi-shot reclosing scheme in the power distribution system. Fourier transform is used to extract the feature of the fault current waveform in the case of the temporary fault and the permanent fault. After the waveform is analyzed using Fourier transform, the magnitude spectrum and the relative variation of THD are calculated. These results are that the relative variation of THD is great in the temporary fault and is little in the permanent fault.