• Journal of the Korean Statistical Society
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• 제29권3호
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• pp.319-336
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• 2000

A mixed model with a white noise process and an IMA(0,1,1) process is considered as a process model. It is assumed that the process is a white noise in the absence of a special cause and the process changes to an IMA(0,1,1) due to a special cause. One useful scheme in measuring the process level is to use the variable measurement interval (VMI) between measurement times according to the value of the previous chart statistic. The advantage of the VMI scheme is to measure the process level infrequently when in control to save the measurement cost and to measure frequently when out of control to save the off-target cost. This paper considers the VMI scheme in order to detect changes in the process model from a white noise to an IMA(0,1,1). The VMI scheme is shown to be effective compared to the standard fixed measurement interval (FMI) scheme in both statistical and economic contexts.

• Journal of the Korean Statistical Society
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• 제27권4호
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• pp.485-494
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• 1998

In the white noise model we construct an adaptive estimate for f(0) for a decreasing function f. We also show that the maximum mean square error of this estimate attains the same rate as the minimax risk simultaneously over a range of Lipschitz classes of order less than or equal to one.

• International Journal of Aeronautical and Space Sciences
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• 제13권4호
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• pp.499-506
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• 2012

In this paper, a dynamic modeling for the velocity and position information of a single frequency stand-alone GPS(Global Positioning System) receiver is described. In static condition, the position error dynamic model is identified as a first/second order transfer function, and the velocity error model is identified as a band-limited Gaussian white noise via non-parametric method of a PSD(Power Spectrum Density) estimation in continuous time domain. A Kalman filter is proposed considering both correlated/white measurements noise based on identified GPS error model. The performance of the proposed Kalman filtering method is verified via numerical simulation.

• 대한의용생체공학회:의공학회지
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• 제25권5호
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• pp.369-376
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• 2004

이명 재훈련 치료법은 백색 잡음을 이용하여 이명 환자를 치료하는 효과적인 방법이다. 이 치료법은 광대역의 청각 세포를 자극하기 위하여 백색 잡음을 이용한다. 본 논문에서는 열 잡음을 이용한 소형의 백색 잡음 발생기와 인간의 외이와 중이 시스템에 의해 변형된 주파수 응답을 보상할 수 있는 주파수 응답 조절부를 제안하였다. 실험 결과, 제안된 시스템이 기존의 백색 잡음 발생기에 비하여 이명 재훈련 치료의 목적에 보다 적합한 형태임을 알 수 있었다.

• 센서학회지
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• 제32권6호
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• pp.475-480
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• 2023

When modeling a sensor system mathematically, we assume that the sensor noise is Gaussian and white to simplify the model. If this assumption fails, the performance of the sensor model-based controller or estimator degrades due to incorrect modeling. In practice, non-Gaussian or non-white noise sources often arise in many digital sensor systems. Additionally, the noise parameters of the sensor model are not known in advance without additional noise statistical information. Moreover, disturbances or high nonlinearities often cause unknown sensor modeling errors. To estimate the uncertain noise and model parameters of a sensor system, this paper proposes an iterative batch calibration method using data-driven machine learning. Our simulation results validate the calibration performance of the proposed approach.

• 한국정보전자통신기술학회논문지
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• 제15권1호
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• pp.27-35
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• 2022

본 논문에서는 영상 데이터에 대한 적대적 공격으로부터 생성된 적대적 예제로 인하여 발생할 수 있는 딥러닝 시스템의 오분류를 방어하기 위한 방법으로 분류기의 입력 영상에 백색 잡음을 가산하는 방법을 제안하였다. 제안된 방법은 적대적이든 적대적이지 않던 구분하지 않고 분류기의 입력 영상에 백색 잡음을 더하여 적대적 예제가 분류기에서 올바른 출력을 발생할 수 있도록 유도하는 것이다. 제안한 방법은 FGSM 공격, BIM 공격 및 CW 공격으로 생성된 적대적 예제에 대하여 서로 다른 레이어 수를 갖는 Resnet 모델에 적용하고 결과를 고찰하였다. 백색 잡음의 가산된 데이터의 경우 모든 Resnet 모델에서 인식률이 향상되었음을 관찰할 수 있다. 제안된 방법은 단순히 백색 잡음을 경험적인 방법으로 가산하고 결과를 관찰하였으나 에 대한 엄밀한 분석이 추가되는 경우 기존의 적대적 훈련 방법과 같이 비용과 시간이 많이 소요되는 적대적 공격에 대한 방어 기술을 제공할 수 있을 것으로 사료된다.

• Nuclear Engineering and Technology
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• 제56권2호
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• pp.715-727
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• 2024

During fast neutron imaging, besides the dark current noise and readout noise of the CCD camera, the main noise in fast neutron imaging comes from high-energy gamma rays generated by neutron nuclear reactions in and around the experimental setup. These high-energy gamma rays result in the presence of high-density gamma white spots (GWS) in the fast neutron image. Due to the microscopic quantum characteristics of the neutron beam itself and environmental scattering effects, fast neutron images typically exhibit a mixture of Gaussian noise. Existing denoising methods in neutron images are difficult to handle when dealing with a mixture of GWS and Gaussian noise. Herein we put forward a deep learning approach based on the Swin Transformer UNet (SUNet) model to remove high-density GWS-Gaussian mixture noise from fast neutron images. The improved denoising model utilizes a customized loss function for training, which combines perceptual loss and mean squared error loss to avoid grid-like artifacts caused by using a single perceptual loss. To address the high cost of acquiring real fast neutron images, this study introduces Monte Carlo method to simulate noise data with GWS characteristics by computing the interaction between gamma rays and sensors based on the principle of GWS generation. Ultimately, the experimental scenarios involving simulated neutron noise images and real fast neutron images demonstrate that the proposed method not only improves the quality and signal-to-noise ratio of fast neutron images but also preserves the details of the original images during denoising.

• 한국인터넷방송통신학회논문지
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• 제18권4호
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• pp.55-60
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• 2018

본 논문은 전력선 통신에서 딥 러닝 기술 적용시킨 연구의 초기 결과를 보여준다. 본 논문에서는 전력선 통신의 성능을 감소시키는 원인인 잡음을 제거하기 위해 딥 러닝 기술을 적용시켜 효과적인 잡음 제거를 목표로 하고 수신 단에서 딥 러닝 모델을 추가하여 잡음을 효과적으로 제거하는 시스템을 제안한다. 딥 러닝 모델을 학습시키기 위해서는 데이터가 필요하므로 기존의 데이터들을 저장하고 있다고 가정하고 제안하는 시스템에 대해 시뮬레이션을 진행하여 부가 백색 가우시안 잡음 채널의 이론적 결과와 비트 에러률을 비교하여 제안하는 시스템 모델이 잡음을 제거하여 통신 성능을 향상시킨 것을 확인한다.

• Bulletin of the Korean Chemical Society
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• 제16권11호
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• pp.1119-1121
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• 1995

The method for the Schlo"gl model with the first order transition is extended to the Scho;gl model with the second order transition for a photochemical reaction. We obtain the explicit results of the time-dependent average and the time correlation function at the unstable steady state of the model in the neighborhood of the Gaussian white noise and then discuss the effect of noise on the dynamic properties.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.781-802
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• 2011

Of concern in the paper is a Holling-Tanner predator-prey model with modified version of the Leslie-Gower functional response. Dynamical behaviours such as stability, permanence and Hopf bifurcation have been carried out deterministically. Using the normal form theory and center manifold theorem, the explicit formulae determining the stability and direction of Hopf bifurcation have been derived. The deterministic model is extended to a stochastic one by perturbing the growth equation of prey and predator by white and colored noises and finally the mean square stability of the stochastic model systems is investigated analytically. An extensive quantitative analysis has been performed based on numerical computation so as to validate the applicability of the proposed mathematical model.