• Journal of electromagnetic engineering and science
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• 제14권4호
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• pp.332-335
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• 2014

This paper investigates the phase singularity problem in microwave image reconstruction utilizing unwrapped phase data. The measured phases of the electric fields in most microwave measurement systems are wrapped. Thus, a certain phase unwrapping process is necessary for reconstruction of the image of a high contrast object. This unwrapping, however, is difficult in the presence of scattering nulls on/near the unwrapping path. At the null point, the phase value will be rendered, resulting in a poor image reconstruction. In this paper, we investigate the phase singularity arising from electromagnetic scattering nulls in microwave breast tomographic imaging. We then propose a transformation technique for the measured electric fields that avoids phase singularity.

• 대한전기학회논문지:시스템및제어부문D
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• 제50권2호
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• pp.59-64
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• 2001

In this paper, we propose an alternate method for determining the uniqueness of the reconstruction of a complex sequence from its phase. Uniqueness constraints could be derived in terms of the zeros of a complex polynomial defined by the DFT of the sequence. However, rooting of complex polynomials of high order is a very difficult problem. Instead of finding zeros of a complex polynomial, the proposed uniqueness criteria show that non-singularity of a matrix can guarantee the uniqueness of the reconstruction of a complex sequence from its phase-only data. It has clear advantage over the rooting method in numerical stability and computational time.

• 대한의용생체공학회:의공학회지
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• 제23권2호
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• pp.81-85
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• 2002

본 논문에서는 의료 영상에 대한 새로운 비견고 워터마킹 알고리듬을 제안한다. 이 알고리듬은 의료 영상의 보안 및 위조 문제를 해결 할 수 있다. 제안한 알고리듬에서는 영상의 고유한 특성을 나타내는 특이점 (singularity)을 추출하여 이를 워터마크로 사용한다. 이때 특이점 추출에는 영상의 에지 성분을 정확하게 추출하는 장점을 갖는 Mallat 웨이브릿 변환을 이용한다. 즉 Mallat 웨이브릿 변환을 통해 생성된 첫 번째 스케일의 수평 및 수직 상세 부대역 (detail subband)을 이용하여 상세 신호에 대한 크기 성분 및 위상 성분을 계산한 후, 이러한 정보들을 이용하여 입력 영상의 국부 계수 최대치 (local modulus maxima, LMM)를 추출한다. LMM은 영상의 고유한 특성을 갖는 특이전을 나타내므로, 어떠한 조작이 가해진 영상의 LMM은 원 영상의 LMM과의 차이를 나타낸다. 따라서 임의의 영상에 대하여 LMM을 구한 후 원 영상의 LMM과 비교함으로써 위조 여부를 판단할 수 있다. 제안한 알고리듬의 성능 평가를 위한 모의 실험을 통하여 제안한 워터마킹 알고리듬은 의료 영상의 위조된 부분을 정확하게 추출하는 것을 확인하였다.

• 대한수학회논문집
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• 제17권2호
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• pp.349-361
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• 2002

The ill-posed elliptic wave propagation problems can be transformed into well-posed initial value problems of the reflection and transmission operators characterizing the material structure of the given model by the combination of wave field splitting and invariant imbedding methods. In general, the derived scattering operator equations are of first-order in range, nonlinear, nonlocal, and stiff and oscillatory with a subtle fixed and movable singularity structure. The phase space and path integral analysis reveals that construction and reconstruction algorithms depend crucially on a detailed symbol analysis of the scattering operators. Some information about the singularity structure of the scattering operator symbols is presented and analyzed in the transversely homogeneous limit.

• Bulletin of the Korean Chemical Society
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• 제7권1호
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• pp.20-23
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• 1986

A reduced condition for liquid-gas phase transition from the singularity of compressibility is derived using diagrammatic approach and is examined in the hard sphere system. The condition turns out that the Percus-Yevick and the Hyper-Netted-Chain approximation never conceive the idea of phase transition, and explains that the liquid-gas transition does not exist in hard sphere system. The solid-fluid transition is considered on the viewpoint of correlation function and diagrammatic analysis.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2002년도 ICCAS
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• pp.76.5-76
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• 2002

In this paper, we provide a Nash solution to predictive control problem for nonminimum phase singular nonlinear systems. Until now, there is no result on predictive control problem for this class of nonlinear systems. Chen's recent work considered predictive control problem for a class of nonlinear systems with ill-defined relative degree. Since his work is not a result considered in the feedback linearization framework, there is no a result on singular probem in his paper. In contrast to the existing predictive control result, our work considers two main obstacles (singularity and nonminimum phase) in the feedback linearization framework. For a generally formu...

• Bulletin of the Korean Chemical Society
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• 제14권1호
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• pp.95-100
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• 1993

A noise-induced transition is presented for a bistable system subjected to a multiplicative random force, which is singular at the unstable state. The stationary probability distribution is obtained from the Fokker-Planck equation and the effects of the singularity is analyzed. On the basis of noise-induced phase transition with Gaussian white noise, the relaxation time and the transition rate of the system are evaluated up to the first order correction of D. In the parameter region v < l, the transition rates decrease as the exponent v goes to 1 and as the coefficient of the linear term of the kinetic equation increases.

• 한국해안해양공학회지
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• 제13권1호
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• pp.73-79
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• 2001

본 연구에서는 탄성 지지된 잠수 평판으로 이루어진 방파제의 파랑감쇠 성능을 고찰하였다. 이 방파제는 파랑감쇠를 위하여 입사파, 산란파 그리고 방사파의 위상 상호작용을 이용한다. 유동장을 기술하기 위하여 선형포텐셜 이론을 도입하였으며, 특이점 분포방법을 적용하였다. 잠수된 평판은 강체라고 가정하였으며, 탄성지지는 일정한 탄성계수를 가진 선형 스프링으로 간주하였다. 수치계산을 위하여 직사각형 평판을 고려하였다. 수치해의 안정성을 위하여 영향행렬의 조건수를 조사하여 평판의 두께를 결정하였다. 탄성지지의 강성이 방파제의 성능에 미치는 영향을 살펴보았다. 한편 잠수 깊이가 파랑감쇠에 미치는 영향을 조사하였다. 계산결과에 의하면 방파제의 공진 진동수가 입사파의 진동수보다 약간 작게 설정되어야 파랑감쇠가 최대로 일어남을 확인하였다.

• 전기학회논문지
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• 제66권2호
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• pp.447-452
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• 2017

The stator phase winding of a linear pulse motor, which is a new type of linear motor, is comprised of two phases and is structurally characterized by a stacking method in which the winding of one phase is laid on top of the winding of another phase. Such a structural characteristic induces a difference in the flux linkage resulting from the flux of each stator phase winding in the same condition. The difference in the induced flux linkage acts as a kind of thrust ripple component in terms of the generated thrust. Thus, in order to maintain consistent thrust force, a method is required to solve the problem caused by the structural singularity. Hence, in this study, we present a technique for reducing the thrust force ripple generated by the stacking of the stator phase windings of a linear pulse motor through the generation of a compensating current reference value of the current controller in order to keep the torque constant. The proposed compensating algorithm is validated by simulations and experimental results.

• Journal of the Optical Society of Korea
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• 제20권1호
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• pp.192-198
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• 2016

The distributions of (or constraints for) amplitude and phase around C-points, including Lemon, Mon-Star and Star, are studied. A Cartesian coordinate system with origin at the C-point is established. Four curves, where the azimuthal angles of polarization ellipses are 0°, 45°, 90°, and 135° respectively, are used to determine the distributions. Discussions of these constraints illustrate why Mon-Star is rarer than Lemon or Star in experiments. The transformation relationships between these three polarization singularities (PSs) are also discussed. We construct suitable functions for amplitude and phase according to their constraints, and simulate several PSs of particular shapes. With the development of modulation techniques for amplitude and phase, it is clear that this work is helpful for generating arbitrarily shaped C-points in experiments.