• Title/Summary/Keyword: 최소 위상 조건

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An experimental study on an inverse problem of a non-minimum phase system (비최소 위상 시스템의 역변환 문제에 대한 실험적 고찰)

  • Noh Kyoung Rae;Lee Sang Kwon
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.147-150
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    • 2001
  • 본 논문은 비최소 위상을 가지는 시스템에 대한 역변환 문제를 실험적으로 고찰, 연구하였다. 일반적으로 선형적이고 인과적인 시스템의 입$cdot$ 출력관계는 행렬형태로 공식화할 수 있다. 최소위상(minimum phase) 시스템의 시스템행렬은 항상 역행렬이 존재하며 안정적이지만 비최소 위상(non-minimum phase)시스템의 시스템행렬은 근사특이(near-singular)행렬 또는 특이(singular) 행렬이므로 불량조건(ill-conditioning)이 발생하고 역변환이 존재할 수 없다. 비최소 위상 시스템의 역변환 문제는 다른 과정을 포함하지 않고서는 인과적이고 안정적인 역변환 필터를 가질 수 없다. 따라서 역변환 필터의 구현을 위해 SVD(singular value decomposition)를 이용하였다. 비최소 위상 시스템인 경우 시스템행렬은 하나이상의 매우 작은 특이 값을 가지며 이것은 시스템의 위상정보를 가진다. 이 성질을 이용하여 시스템의 근사적인 역변환 필터를 구현하고 비최소 위상을 갖는 외팔보에 대해 실험적으로 검증하였다.

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Multi-component Topology Optimization Considering Joint Distance (조인트 최소거리를 고려한 다중구조물 위상최적설계 기법)

  • Jun Hwan, Kim;Gil Ho, Yoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.6
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    • pp.343-349
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    • 2022
  • This paper proposes a new topology optimization scheme to determine optimized joints for multi-component models. The joints are modeled as zero-length high-stiffness spring elements. The spring joints are considered as mesh-independent springs based on a joint-element interpolation scheme. This enables the changing of the location of the joints regardless of the connected nodes during optimization. Because the joints are movable, the locations of the optimized joints should be aggregated at several points. In this paper, the novel joint dispersal (JD) constraint to prevent joint clustering is proposed. With the joint dispersal constraint, it is possible to determine the optimized joint location as well as optimized topologies while maintaining the minimum distance between each joint. The mechanical compliance value is considered as the objective function. Several topology optimization examples are solved to demonstrate the effect of the joint dispersal constraint.

Improved SRF-PLL using Recursive Least square Method under Unbalanced Grid Condition (불평형 전원조건하의 재귀형 최소자승법을 이용한 향상된 SRF-PLL)

  • Moon, Seok-Hwan;Kim, Ji-won;Park, Byoung-Gun;Kim, Jong-Mu;Lee, Ki-chang;Ha, Hyung-Uk;Lee, Jung-Uk;Park, Byeong-Woo
    • Proceedings of the KIPE Conference
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    • 2014.07a
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    • pp.219-220
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    • 2014
  • 기존의 SRF-PLL방법은 구현이 간단하고 정상전원에서 위상각 추정 성능이 우수하지만 불평형 전원하에서 위상각 추정 성능이 저하된다. 본논문에서는 상간전압의 위상변화, 상전압의 크기변동 및 오프셋이 발생된 불평형 전원하에서 변동된 값들을 실시간으로 보상하여 위상각을 검출하는 재귀형 최소 자승법을 이용한 SRF-PLL방법을 제안한다.

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Application of Minimum Phase Condition to Acoustic Impedance Measurement (최소 위상 조건을 적용한 음향 임피던스 측정)

  • Lim, Byoung-Duk;Heo, Jun-Hyeok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.855-860
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    • 2005
  • For the accurate measurement of acoustic properties of a surface, efforts have been made to reduce errors caused by external disturbance. If the reflection coefficient is considered as a transfer function between reflected wave and incident wave, causality is required between them and the reflection coefficient should be of minimum phase. In this thesis, the minimum phase condition is applied to measure correct reflection coefficient. The reflection coefficient is approximated as a rational function in the Z domain by minimizing the sum square error. Then the minimum phase reflection coefficient is reconstructed using the distribution of poles and zeros of the reflection coefficient model. The incident wave, the reflected wave and the impulse response function of causality are recalculated from the minimum phase reflection coefficient for further applications.

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Application of Minimum Phase Condition to the Acoustic Reflection Coefficient Measurement (최소 위상 조건을 적용한 음향 반사계수 측정)

  • Heo, Jun-Hyeok;Kim, Deok-Ki;Lim, Byoung-Duk
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.10 s.103
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    • pp.1131-1136
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    • 2005
  • For the accurate measurement of acoustic properties of a surface, efforts have been made to reduce errors caused by external disturbance. If the reflection coefficient is considered as a transfer function between reflected wane and incident wave, the causality is required between them and the reflection coefficient should be of minimum phase. In this thesis, the minimum phase condition is applied to measure correct reflection coefficient. The reflection coefficient is approximated as a rational function In the Z domain by minimizing the sum square error. Then the minimum phase reflection coefficient is reconstructed using the distribution of poles and zeros of the reflection coefficient model.

Topological Analysis of the Feasibility and Initial-value Assignment of Image Segmentation (영상 분할의 가능성 및 초기값 배정에 대한 위상적 분석)

  • Doh, Sang Yoon;Kim, Jungguk
    • Journal of KIISE
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    • v.43 no.7
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    • pp.812-819
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    • 2016
  • This paper introduces and analyzes the theoretical basis and method of the conventional initial-value assignment problem and feasibility of image segmentation. The paper presents topological evidence and a method of appropriate initial-value assignment based on topology theory. Subsequently, the paper shows minimum conditions for feasibility of image segmentation based on separation axiom theory of topology and a validation method of effectiveness for image modeling. As a summary, this paper shows image segmentation with its mathematical validity based on topological analysis rather than statistical analysis. Finally, the paper applies the theory and methods to conventional Gaussian random field model and examines effectiveness of GRF modeling.

A Study on a Noise Robust PD/FD for DPLL for Optical Storage (광 저장장치용 DPLL을 위한 Noise Robust PD/FD에 관한 연구)

  • 배주한;박현수;김민철;심재성;서재훈;홍유표;이재진
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.2180-2183
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    • 2003
  • 본 논문에서는 광 디스크의 기록 밀도 증가에 따른 신호품질의 열화나 노이즈가 심한 환경에서 DPLL(Digital Phase Locked Loop)의 성능을 개선하기 위한 FD(Frequency Detector)와 PD(Phase Detector) 알고리즘을 제안한다. 제안된 PD 알고리즘은 노이즈에 의해 왜곡되어 RLL 조건을 위배하는 입력신호, 즉 RLL 조건에 의해 결정되는 최소 런 길이보다 주기가 작은 신호에 의해 발생하는 위상오차를 위상오차 보정 시 사용하지 않도록 설계하여 잘못된 정보에 의한 위상오차 보정이 일어나지 않도록 하였다 제안된 FD 알고리즘은 주파수를 추적하기 위해 삽입되는 신호인 Sync 신호의 symmetry 특성을 이용하여 샘플패턴을 검출하도록 하여 기존의 주파수 오차 보정 알고리즘보다 향상된 주파수 추적 성능을 가지도록 하였다.

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Shearing Phase Lock-in Infrared Thermography for Defects Evaluation of Metallic Materials Specimen (금속재료 시편의 결함평가에 대한 전단위상 Lock-in 적외선열화상 연구)

  • Park, Jeong-Hak;Choi, Man-Yong;Kim, Won-Tae
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.2
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    • pp.91-97
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    • 2010
  • This paper proposes method to evaluate the location and size of the internal defects of metallic specimens by the shearing phase lock-in infrared thermography. Until now, infrared thermography test for metal specimen of STS304 and Cu-Zn were conducted to find the best test conditions. However, In unspecified situation of the form and existence of defects, there was a disadvantage to takes a long time for finding the optimal experimental conditions. The defect detection and evaluation was performed at 60 MHz signal using lock-in and shearing-phase method under limited heating conditions. By shearing-phase distribution method, Defects for the maximum, minimum and zero points were quantitatively detected at the size and location of the subsurface. As results, application of the proposed technique was verified for STS304 and Cu7-Zn3 with artificial defect and factors affected defect evaluation were searched and analyzed.

A Study on the Application of SVD to an Inverse Problem in a Cantilever Beam with a Non-minimum Phase (비최소 위상을 갖는 외팔보에서 SVD를 이용한 역변환 문제에 관한 연구)

  • 이상권;노경래;박진호
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.9
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    • pp.431-438
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    • 2001
  • This paper present experimental results of source identification for non-minimum phase system. Generally, a causal linear system may be described by matrix form. The inverse problem is considered as a matrix inversion. Direct inverse method can\`t be applied for a non-minimum phase system, the reason is that the system has ill-conditioning. Therefore, in this study to execute an effective inversion, SVD inverse technique is introduced. In a Non-minimum phase system, its system matrix may be singular or near-singular and has one more very small singular values. These very small singular values have information about a phase of the system and ill-conditioning. Using this property we could solve the ill-conditioned problem of the system and then verified it for the practical system(cantilever beam). The experimental results show that SVD inverse technique works well for non-minimum phase system.

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Minimum-Entropy-Based Autofocus Method for Real SAR Images (실제 SAR 영상에서의 최소 엔트로피 기반의 자동 초점 기법 연구)

  • Hwang, Jeonghun;Shin, Hyun-Ik;Kim, Whan-Woo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.5
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    • pp.366-374
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    • 2018
  • In cases of airborne equipped with SAR, because the occurrence of motion is inevitable, it is necessary to apply autofocus techniques to SAR images to improve the image performance degradations caused by residual errors. Herein, a robust autofocus algorithm based on the minimum entropy criteria is proposed for the real SAR data in the spotlight mode. The convergence condition of the phase error estimation is checked at every iteration and if it is violated, the size of the phase error estimation is adjusted to the convergence condition. The real SAR raw data is used to demonstrate the excellent performance of the proposed algorithm.