• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제26권4호
• /
• pp.263-279
• /
• 2022

This paper presents an automatic inspection of defects in semiconductor images. We devise a statistical method to find defects on homogeneous background from the observation that it has a log-normal distribution. If computer aided design (CAD) data is available, we use it to construct a signed distance function (SDF) and change the pixel values so that the average of pixel values along the level curve of the SDF is zero, so that the image has a homogeneous background. In the absence of CAD data, we devise a hybrid method consisting of a model-based algorithm and two neural networks. The model-based algorithm uses the first right singular vector to determine whether the image has a linear or complex structure. For an image with a linear structure, we remove the structure using the rank 1 approximation so that it has a homogeneous background. An image with a complex structure is inspected by two neural networks. We provide results of numerical experiments for the proposed methods.

• 한국추진공학회:학술대회논문집
• /
• 한국추진공학회 2008년 영문 학술대회
• /
• pp.97-104
• /
• 2008

Most of engine control systems for helicopter turboshaft engines are equipped with dual sensors. For the system with dual redundancy, analytic methods are used to detect faults based on the system dynamical model. Helicopter engine dynamics are affected by aerodynamic torque induced from the dynamics of the main rotor. In this paper an engine model including the rotor dynamics is constructed for the T700-GE-700 turboshaft engine powering UH-60 helicopter. The singular value decomposition(SVD) method is applied to the developed model in order to detect sensor faults. The SVD method which do not need an additional computation to generate residual uses the characteristics that the system outputs in direction of the left singular vector if an input is applied in direction of the right singular vector. Simulations show that the SVD method works well in detecting and isolating the sensor faults.

• 방송공학회논문지
• /
• 제21권2호
• /
• pp.149-156
• /
• 2016

우리는 컨텐츠 복제방지를 위하여 기존의 SVD와 DWT/RDWT를 결합한 워터마킹 시스템에 특이벡터를 추가로 사용하는 방안을 제안하였다. 우리는 SVD를 사용하는 워터마킹 시스템에 존재하는 오류긍정문제(false-positive problem)를 극복하기 위하여 기존의 SVD기반 알고리즘과 같이 특이값에 워트마크를 임베딩할 뿐만 아니라, 커버이미지의 첫 번째 좌/우 특이벡터를 워터마크 이미지의 첫번째 좌/우 특이벡터와 교체하였다. 제안 방안은 오류긍정문제 (false-positive problem)가 발생하지 않는 워터마킹 시스템을 구현할 수 있었으며, 기존의 오류긍정문제가 없는 시스템과 비교하여 우수한 충실성과 강인성을 보여 주었을 뿐만 아니라, 오류긍정문제가 발생하는 시스템에 비해서도 크게 성능차이가 나지 않음을 보여 주었다.

• 소음진동
• /
• 제4권1호
• /
• pp.71-82
• /
• 1994

We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.