• Title/Summary/Keyword: Interval approximation

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Adaptive Noise Reduction of Speech using Wavelet Transform (웨이브렛 변환을 이용한 음성의 적응 잡음 제거)

  • Im Hyung-kyu;Kim Cheol-su
    • Journal of the Korea Computer Industry Society
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    • v.6 no.2
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    • pp.271-278
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    • 2005
  • This paper proposed a new time adapted threshold using the standard deviations of Wavelet coefficients after Wavelet transform by frame scale. The time adapted threshold is set up using the sum of standard deviations of Wavelet coefficient in level 3 approximation and weighted level 1 detail. Level 3 approximation coefficients represent the voiced sound with low frequency and level 1 detail coefficients represent the unvoiced sound with high frequency. After reducing noise by soft thresholding with the proposed time adapted threshold, there are still residual noises in silent interval. To reduce residual noises in silent interval, a detection algorithm of silent interval is proposed. From simulation results, it is demonstrated that the proposed algorithm improves SNR and MSE performance more than Wavelet transform and Wavelet packet transform does.

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Estimation for the extreme value distribution under progressive Type-I interval censoring

  • Nam, Sol-Ji;Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.643-653
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    • 2014
  • In this paper, we propose some estimators for the extreme value distribution based on the interval method and mid-point approximation method from the progressive Type-I interval censored sample. Because log-likelihood function is a non-linear function, we use a Taylor series expansion to derive approximate likelihood equations. We compare the proposed estimators in terms of the mean squared error by using the Monte Carlo simulation.

A unified solution to optimal Hankel-Norm approximation problem (최적 한켈 놈 근사화 문제의 통합형 해)

  • Youn, Sang-Soon;Kwon, Oh-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.2
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    • pp.170-177
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    • 1998
  • In this paper, a unified solution of Hankel norm approximation problem is proposed by $\delta$-operator. To derive the main result, all-pass property is derived from the inner and co-inner property in the $\delta$-domain. The solution of all-pass becomes an optimal Hankel norm approximation problem in .delta.-domain through LLFT(Low Linear Fractional Transformation) inserting feedback term $\phi(\gamma)$, which is a free design parameter, to hold the error bound desired against the variance between the original model and the solution of Hankel norm approximation problem. The proposed solution does not only cover continuous and discrete ones depending on sampling interval but also plays a key role in robust control and model reduction problem. The verification of the proposed solution is exemplified via simulation for the zero-order Hankel norm approximation problem and the model reduction problem applied to a 16th order MIMO system.

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On the Interval Estimation of the Difference between Independent Proportions with Rare Events

  • im, Yongdai;Choi, Daewoo
    • Communications for Statistical Applications and Methods
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    • v.7 no.2
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    • pp.481-487
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    • 2000
  • When we construct an interval estimate of two independent proportions with rare events, the standard approach based on the normal approximation behaves badly in many cases. The problem becomes more severe when no success observations are observed on both groups. In this paper, we compare two alternative methods of constructing a confidence interval of the difference of two independent proportions by use of simulation. One is based on the profile likelihood and the other is the Bayesian probability interval. It is shown in this paper that the Bayesian interval estimator is easy to be implemented and performs almost identical to the best frequentist's method -the profile likelihood approach.

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Choosing between the Exact and the Approximate Confidence Intervals: For the Difference of Two Independent Binomial Proportions

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.16 no.2
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    • pp.363-372
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    • 2009
  • The difference of two independent binomial proportions is frequently of interest in biomedical research. The interval estimation may be an important tool for the inferential problem. Many confidence intervals have been proposed. They can be classified into the class of exact confidence intervals or the class of approximate confidence intervals. Ore may prefer exact confidence interval s in that they guarantee the minimum coverage probability greater than the nominal confidence level. However, someone, for example Agresti and Coull (1998) claims that "approximation is better than exact." It seems that when sample size is large, the approximate interval is more preferable to the exact interval. However, the choice is not clear when sample, size is small. In this note, an exact confidence and an approximate confidence interval, which were recommended by Santner et al. (2007) and Lee (2006b), respectively, are compared in terms of the coverage probability and the expected length.

Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation (계단모양 소속 함수 근사를 이용한 구간 2형 퍼지 시스템의 관측기 기반 제어기 설계)

  • Kim, Han-Sol;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1732-1733
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    • 2011
  • This paper presents observer-based controller design for interval type-2 fuzzy system with staircase membership approximation. In type-2 fuzzy case, membership function is itself fuzzy set itself. Thus, type-2 fuzzy system can deal with parametric uncertainties of nonlinear system by capturing the uncertainties in membership function. Likewise, stabilization condition of type-2 fuzzy system is derived from quadratic Lyapunov function, and it goes to linear matrix inequality. Furthermore, in this paper, to relax the conservativeness of stabilization condition, staircase membership function approximating method is applied. Observer-based control method is adopted to control system which has some unmeasurable states. To prove suitability of our proposed method, numerical example is presented.

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Robust PID controller design to ensure specified Gain and Phase Margin (이득여유와 위상여유를 보강하는 견실한 PID 제어기 설계)

  • Cho, Joon-Ho;Ryu, Young-Guk;Choi, Jung-Nae;Hwang, Hyung-Soo
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.632-634
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    • 2000
  • The robust design of controllers to ensure gain and phase margin is can be use approximation of arctan function. In this paper, We proposed a tuning algorithm PID controllers based on specified gain and phase margin by a new approximation of arctan function. This method have linear interpolation equations of two arctan interval instead of one arctan interval of arctan(x). It is shown that the frequency response of this method was to ensure specified gain and phase margin.

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A Study on 2-Dimensional Sound Source Tracking System IV - Mainly on Approximation of the Relative Bearing and Distance - (2차원적 음원추적에 관한 연구IV -음원위치의 근사적 결정법을 중심으로 -)

  • 문성배;전승환
    • Journal of the Korean Institute of Navigation
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    • v.25 no.4
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    • pp.371-379
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    • 2001
  • We have reported the new measurement system which was substituted digital filter for the analog filter in order to develop the optimal system that could find the time delay between each sensors with high accuracy. And also we have confirmed through the experiments that the accuracy of measurements were differentiated by the methods what kind of digital filter had been adopted. This paper suggests two algorithms which approximate the sound source's bearing and distance. One is that sound source's relative bearing can be approximately regarded as the gradient of hyperbolic asymptote, the other is that the source's range can be approximated under the condition of a long range source relative to the sensor's interval. And a series of experiments were carried out with the source's distance 22.42meters and the random bearing interval within the limits of $-90^{\circ}$~$+90^{\circ}$. As a result, we have recognized that the approximation methods could measure the bearing and distance with higher accuracy than the method using trigonometric relation could do.

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Approximation Method for TS(Takagi-Sugeno) Fuzzy Model in V-type Scope Using Rational Bezier Curves (TS(Takagi-Sugeno) Fuzzy Model V-type구간 Rational Bezier Curves를 이용한 Approximation개선에 관한 연구)

  • 나홍렬;이홍규;홍정화;고한석
    • Proceedings of the IEEK Conference
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    • 2002.06c
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    • pp.17-20
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    • 2002
  • This paper proposes a new 75 fuzzy model approximation method which reduces error in nonlinear fuzzy model approximation over the V-type decision rules. Employing rational Bezier curves used in computer graphics to represent curves or surfaces, the proposed method approximates the decision rule by constructing a tractable linear equation in the highly non-linear fuzzy rule interval. This algorithm is applied to the self-adjusting air cushion for spinal cord injury patients to automatically distribute the patient's weight evenly and balanced to prevent decubitus. The simulation results indicate that the performance of the proposed method is bettor than that of the conventional TS Fuzzy model in terms of error and stability.

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Minimum Chi-square estimation and the bootstrap (최소카이제곱추정과 붓스트랩)

  • 정한영;이기원;구자용
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.269-277
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    • 1994
  • Bootstrap approximation is compared with ordinary asymptotic method in the context of minimum chi-square estimation through application in a real problem. Fixed interval search method is shown to be superior over a random interval search method or Newton-Raphson method. All the procedures are implemented by S-Plus functions.

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