• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2001년도 추계학술대회(한국공작기계학회)
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• pp.313-318
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• 2001

In this paper, the well-conditioned observer is designed to be insensitive to the ill-conditioning factors in transient and steady-state observer performance. A condition number based on $L_2-norm$ of the eigenvector matrix of the observer matrix has been proposed on a principal index in the observer performance. For the well-conditioned observer design, the non-normality measure and the observability condition of the observer matrix are utilized. The two constraints are specified into observer gain boundary region that guarantees a small condition number and a stable observer. The observer gain selected in this region guarantees a well-conditioned and observable property. In this study, this method is applied to the Luenberger observer and Kalman filters. In designing Kalman filters for small order systems, the ratio of the process noise covariance to the measurement noise covariance is a design parameter and its effect on the condition number is investigated.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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• pp.390-397
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• 1998

An approach to identifying input forces is proposed using measured structural dynamic responses and its analytical model. The identification of input forces is a reverse process and ill-conditioned problem. Its solution is unstable and generally case dependent. In this paper, the ill-condition is described considering characteristic matrix which is defined by reduced dynamic stiffness matrix. Special attention is focused on the condition number of a characteristic matrix used in the solution algorithm of this reverse process. Simple example is presented in support of the ill-condition of a reverse process.

• 한국통신학회논문지
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• 제34권2A호
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• pp.147-154
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• 2009

안테나 그룹화(antenna grouping)는 빔 형성(beamforming)파 공간 다중화 기법(spatial multiplexing)의 결합이라 할 수 있다. 안테나 그룹화는 $N_t$개의 송신 안테나를 $N_r$개의 그룹으로 나누고, 한 그룹 내에서는 빔 형성으로 하나의 데이터 정보를, 각 그룹 사이에서는 공간 다중화 기법으로, 전체 $N_r$개의 데이터 정보를 전송하는 시스템을 가정한다. 안테나 그룹화를 통하면 빔 형성을 통하여 다이버시티 이득을 얻을 수 있는 동시에 공간 다중화 기법에 따른 다중화 이득을 통하여 주파수 효율을 높일 수 있다. 하지만 통신 채널이 조건 나쁜(ill-conditioned) 행렬로 모델링 되거나, 안테나 사이에 상관관계가 있는 경우에는 안테나 그룹화의 BER 성능이 열화될 수 있으므로, 이 경우에는 전체 시스템에서 하나의 데이터 정보만 전송하는 빔 형성의 성능이 가장 좋다. 이 논문에서는 채널이 안테나 그룹화에 적합하면 안테나 그룹화 모드를 선택하여 전송하고, 빔 형성에 적합하면 빔 형성 모드를 선택하여 전송하는 시스템을 가정하였다. 그리고 간단한 모드 선택 기법을 제안한다. 이 모드 선택 기법을 사용하면 매 시간동안 일정한 데이터를 전송할 때, 채널 상태에 따른 BER 성능의 열화를 막고, 최적의 BER 성능을 얻을 수 있다.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2003년도 춘계학술대회 논문집
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• pp.21-26
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• 2003

The well-conditioned observer in a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic issues such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic issues such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_2$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic issues and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

• 한국음향학회:학술대회논문집
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• 한국음향학회 2000년도 하계학술발표대회 논문집 제19권 1호
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• pp.337-338
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• 2000

The perceptual filter for speech enhancement was analytically derived where the frequency content of the input noisy signal was made the same as that of the estimated clean signal in auditory domain. However, the analytical derivation should rely on the deconvolution associated with the spreading function in the psychoacoustic model, which results in an ill-conditioned problem. In order to cope with the problem associated with the deconvolution, we propose a novel psychoacoustic model based speech enhancement filter whose principle is the same as the perceptual filter, however the filter is derived by a constrained optimization which provides solutions to the ill-conditioned problem.

• 한국멀티미디어학회논문지
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• 제8권11호
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• pp.1432-1438
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• 2005

심리음향모델을 기반으로 주파수영역에서 잡음을 형상화하여 오디오 신호에 부가하였을 때 부가된 잡음이 지각되지 않는 방법을 제안하였다. 신호의 마스킹 문턱값으로부터 지각되지 않는 잡음의 준위를 구하는 것은 심리음향모델에서 확산함수와 관련된 디컨버루션을 수반하는데 난제(ill-conditioned Problem)로 알려져 있다. 본 논문에서는 최적화 기법을 적용하여 잡음의 여기준위를 신호의 마스킹 준위에 일치시킴으로써 신호에 부가된 잡음이 청각적으로 지각되지 않는 한도 내에서 최대한의 잡음준위가 되도록 형상화하는 방법을 제시하고 실험적으로 그 타당성을 증명하였다.

• The Journal of the Acoustical Society of Korea
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• 제19권3E호
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• pp.12-18
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• 2000

Psychoacoustic model based methods have recently been introduced in order to enhance speech signals corrupted by ambient noise. In particular, the perceptual filter is analytically derived where the frequency content of the input noisy signal is made the same as that of the estimated clean signal in auditory domain. However, the analytical derivation should rely on the deconvolution associated with the spreading function in the psychoacoustic model, which results in an ill-conditioned problem. In order to cope with the problem associated with the deconvolution, we propose a novel psychoacoustic model based speech enhancement filter whose principle is the same as the perceptual filter, however the filter is derived by a constrained optimization which provides solutions to the ill-conditioned problem. It is demonstrated with artificially generated signals that the proposed filter operates according to the principle. It is shown that superior performance results from the proposed filter over the perceptual filter provided that a clean speech signal is separable from noise.

• 한국통신학회논문지
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• 제41권1호
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• pp.83-85
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• 2016

LS 신호검출 OFDM은 채널 행렬이 불량 조건이 될 확률이 증가하여 고속 시변 채널에서 성능이 저하된다. LS 신호검출의 성능저하를 방지하기 위하여 다양한 안정화 방식이 적용되고 있다. 본 논문에서는 변조방식의 특성이 반영된 실행중지 기준을 적용한 CGLS 방식을 제안하였으며 최적의 LMMSE에 근접한 성능을 얻을 수 있었다.

• 대한기계학회논문집A
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• 제28권5호
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• pp.503-510
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• 2004

In this paper, the well-conditioned observer for a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic uncertainties such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic uncertainties such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_{2}$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic uncertainties. In stochastic viewpoints, the estimation variance represents the robustness to the stochastic uncertainties and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

• 대한수학회논문집
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• 제16권3호
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• pp.487-508
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• 2001

We consider the Cauchy problem for Laplacian. Using the single layer representation, we obtain an equivalent system of boundary integral equations. We show the singular values of the ill-posed Cauchy operator decay exponentially, which means that a small error is exponentially amplified in the solution of the Cauchy problem. We show the decaying rate is dependent on the geometry of he domain, which provides the information on the choice of numerically meaningful modes. We suggest a pseudo-inverse regularization method based on singular value decomposition and present various numerical simulations.