• Title/Summary/Keyword: Signal and statistical process

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A Quasi-Likelihood Approach to Nonlinear Filtering Problems

  • Kim, Yoon-Tae
    • Journal of the Korean Statistical Society
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    • v.27 no.2
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    • pp.221-235
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    • 1998
  • Suppose that an observed process can be written as the additive model of the signal process and the noise process with unknown parameters. In practice the signal process is not directly observed. We consider the problem of estimating parameter from the observation process using the quasi-likelihood method.

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Real-time malfunction detection of plasma etching process using EPD signal traces (EPD 신호궤적을 이용한 플라즈마 식각공정의 실시간 이상검출)

  • Cha, Sang-Yeob;Yi, Seok-Ju;Koh, Taek-Beom;Woo, Kwang-Bang
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.2
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    • pp.246-255
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    • 1998
  • This paper presents a novel method for real-time malfunction detection of plasma etching process using EPD signal traces. First, many reference EPD signal traces are collected using monochromator and data acquisition system in normal etching processes. Critical points are defined by applying differentiation and zero-crossing method to the collected reference signal traces. Critical parameters such as intensity, slope, time, peak, overshoot, etc., determined by critical points, and frame attributes transformed signal-to symbol of reference signal traces are saved. Also, UCL(Upper Control Limit) and LCL(Lower Control Limit) are obtained by mean and standard deviation of critical parameters. Then, test EPD signal traces are collected in the actual processes, and frame attributes and critical parameters are obtained using the above mentioned method. Process malfunctions are detected in real-time by applying SPC(Statistical Process Control) method to critical parameters. the Real-time malfunction detection method presented in this paper was applied to actual processes and the results indicated that it was proved to be able to supplement disadvantages of existing quality control check inspecting or testing random-selected devices and detect process malfunctions correctly in real-time.

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A Study on the Identification of the EMG Signal in the Wavelet Transform Domain (웨이브렛 변환평면에서의 근전도신호 인식에 관한 연구)

  • 김종원;김성환
    • Journal of Biomedical Engineering Research
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    • v.15 no.3
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    • pp.305-316
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    • 1994
  • All physical data in the real world are nonstationary signals that have the time varying statistical characteristics. Although few algorithms suitable to process the nonstationary signals have ever been suggested, these are treated the nonstationary signals under the assumption that the nonstationary signal is a piece-wise stationary signal. Recently, statistical analysis algorithms for the nonstationary signal have concentrated so much interest. In this paper, nonstationary EMG signals are mapped onto the orthogonal wavelet transform domain so that the eigenvalue spread of its autocorrelation matrix could be more smaller than that in the time domain. Then the model in the wavelet transform domain and an algorithm to estimate the model parameters are suggested. Also, an test signal generated by a white gaussian noise and the EMG signal are identified, and the algorithm performance is considered in the sense of the mean square error and the evaluation parameters.

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Identification of the out-of-control variable based on Hotelling's T2 statistic (호텔링 T2의 이상신호 원인 식별)

  • Lee, Sungim
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.811-823
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    • 2018
  • Multivariate control chart based on Hotelling's $T^2$ statistic is a powerful tool in statistical process control for identifying an out-of-control process. It is used to monitor multiple process characteristics simultaneously. Detection of the out-of-control signal with the $T^2$ chart indicates mean vector shifts. However, these multivariate signals make it difficult to interpret the cause of the out-of-control signal. In this paper, we review methods of signal interpretation based on the Mason, Young, and Tracy (MYT) decomposition of the $T^2$ statistic. We also provide an example on how to implement it using R software and demonstrate simulation studies for comparing the performance of these methods.

Statistical Efficiency of VSSI $\bar{X}$ Control Charts for the Process with Two Assignable Causes (두 개의 이상원인이 존재하는 공정에 대한 VSSI $\bar{X}$ 관리도의 통계적 효율성)

  • Lee Ho-Jung;Lim Tae-Jin
    • Journal of Korean Society for Quality Management
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    • v.32 no.4
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    • pp.156-168
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    • 2004
  • This research investigates the statistical efficiency of variable sampling size & sampling interval(VSSI) $\bar{X}$ charts under two assignable causes. Algorithms for calculating the average run length(ARL) and average time to signal(ATS) of the VSSI $\bar{X}$ chart are proposed by employing Markov chain method. States of the process are defined according to the process characteristics after the occurrence of an assignable cause. Transition probabilities are carefully derived from the state definition. Statistical properties of the proposed chart are also investigated. A simple procedure for designing the proposed chart is presented based on the properties. Extensive sensitivity analyses show that the VSSI $\bar{X}$ chart is superior to the VSS or VSI $\bar{X}$ chart as well as to the Shewhart $\bar{X}$ chart in statistical sense, even tinder two assignable causes.

Effect of Metals used in Orthopedic on Magnetic Resonance Imaging III (정형 보철용 금속이 자기공명영상에 미치는 영향 III)

  • Kim, Hyeong-Gyun;Choi, Seong-Dae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.6
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    • pp.42-47
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    • 2012
  • Followed by a paper on the Pig and Bone orthopedic prosthetic, this experiment using Phantom and Bone MRI imaging I, II of orthopedic prosthetic metal effect combines magnetic resonance imaging on metal signal-to-noise ratio(Signal to noise : SNR) and CNR(Contrast to noise: CNR), fat signal suppression(Fat-suppression) images was compared. Specimen trees to measure the reliability of the experimental reproducibility tests and statistical analysis using the SPSS statistical package was applied program SPSS(IBM SPSS Statistice 19) by * P = 0.000 < significance level $({\alpha})$ = 0.01 as a significant there was a correlation(** P < 0.01). SNR and CNR results did not directly proportional to the Titanium, Stainless, Clip CNR and fat signal suppression of the order of images of blood specimens was found to be close to the image. The impact of orthopedic prosthetic metals on magnetic resonance imaging in the diagnostic value of Titanium is relatively high and are meant more.

Design of the Variable Sampling Rates X-chart with Average Time to Signal Adjusted by the Sampling Cost

  • Park, Chang-Soon;Song, Moon-Sup
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.181-198
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    • 1997
  • The variable sampling rates scheme is proposed by taking random sample size and sampling interval during the process. The performance of the scheme is measured in terms of the average time to signal adjusted by teh sampling cost when the process is out of control. This measurement evaluates the effectiveness of the scheme in terms of the cost incurred due to nonconformation as well as sampling. The variable sampling rates scheme is shown to be effective especially for small and moderate shifts of the mean when compared to the standard scheme.

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Copula modelling for multivariate statistical process control: a review

  • Busababodhin, Piyapatr;Amphanthong, Pimpan
    • Communications for Statistical Applications and Methods
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    • v.23 no.6
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    • pp.497-515
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    • 2016
  • Modern processes often monitor more than one quality characteristic that are referred to as multivariate statistical process control (MSPC) procedures. The MSPC is the most rapidly developing sector of statistical process control and increases interest in the simultaneous inspection of several related quality characteristics. Most multivariate detection procedures based on a multi-normality assumptions are independent, but there are many processes that assume non-normality and correlation. Many multivariate control charts have a lack of related joint distribution. Copulas are tool to construct multivariate modelling and formalizing the dependence structure between random variables and applied in several fields. From copula literature review, there are a few copula to apply in MSPC that have multivariate control charts, and represent a successful tool to identify an out-of-control process. This paper presents various types of copulas modelling for the multivariate control chart. The performance measures of the control chart are the average run length (ARL) and the average number of observations to signal (ANOS). Furthermore, a Monte Carlo simulation is shown when the observations were from an exponential distribution.

Efficient Signature-Driven Self-Test for Differential Mixed-Signal Circuits

  • Kim, Byoungho
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.16 no.5
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    • pp.713-718
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    • 2016
  • Predicting precise specifications of differential mixed-signal circuits is a difficult problem, because analytically derived correlation between process variations and conventional specifications exhibits the limited prediction accuracy due to the phase unbalance, for most self-tests. This paper proposes an efficient prediction technique to provide accurate specifications of differential mixed-signal circuits in a system-on-chip (SoC) based on a nonlinear statistical nonlinear regression technique. A spectrally pure sinusoidal signal is applied to a differential DUT, and its output is fed into another differential DUT through a weighting circuitry in the loopback configuration. The weighting circuitry, which is employed from the previous work [3], efficiently produces different weights on the harmonics of the loopback responses, i.e., the signatures. The correlation models, which map the signatures to the conventional specifications, are built based on the statistical nonlinear regression technique, in order to predict accurate nonlinearities of individual DUTs. In production testing, once the efficient signatures are measured, and plugged into the obtained correlation models, the harmonic coefficients of DUTs are readily identified. This work provides a practical test solution to overcome the serious test issue of differential mixed-signal circuits; the low accuracy of analytically derived model is much lower by the errors from the unbalance. Hardware measurement results showed less than 1.0 dB of the prediction error, validating that this approach can be used as production test.

Power Spectrum Estimation of EEG Signal Using Robust Filter (로버스트 필터를 이용한 EEG 신호의 스펙트럼 추정)

  • 김택수;허재만
    • Journal of Biomedical Engineering Research
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    • v.13 no.2
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    • pp.125-132
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    • 1992
  • Background EEG signals can be represented as the sum of a conventional AR process and an innovation process. It Is know that conventional estimation techniques, such as least square estimates (LSE) or Gaussian maximum likelihood estimates (MLE-G ) are optimal when the innovation process satisfies the Gaussian or presumed distribution. When the data are contaminated by outliers, however, these assumptions are not met and the power spectrum estimated by conventional estimation techniques may be fatally biased. EEG signal may be affected by artifacts, which are outliers in the statistical term. So the robust filtering estimation technique is used against those artifacts and it performs well for the contaminated EEG signal.

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