• Title/Summary/Keyword: Poisson signal

검색결과 56건 처리시간 0.017초

Optimal Weights for a Vector of Independent Poisson Random Variables

  • Kim, Joo-Hwan
    • Communications for Statistical Applications and Methods
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    • 제9권3호
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    • pp.765-774
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    • 2002
  • Suppose one is given a vector X of a finite set of quantities $X_i$ which are independent Poisson random variables. A null hypothesis $H_0$ about E(X) is to be tested against an alternative hypothesis $H_1$. A quantity $\sum\limits_{i}w_ix_i$ is to be computed and used for the test. The optimal values of $W_i$ are calculated for three cases: (1) signal to noise ratio is used in the test, (2) normal approximations with unequal variances to the Poisson distributions are used in the test, and (3) the Poisson distribution itself is used. The above three cases are considered to the situations that are without background noise and with background noise. A comparison is made of the optimal values of $W_i$ in the three cases for both situations.

Optimal Weights of Linear Combinations of the Independent Poisson Signals for Discrimination

  • 김주환
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.307-315
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    • 2002
  • Suppose one is given a vector X of a finite set of quantities $X_i$ which are independent Poisson signals. A null hypothesis $H_0$ about E(X) is to be tested against an alternative hypothesis $H_1$. A quantity $$\sum\limits_{i}\omega_ix_i$$ is to be computed and used for the test. The optimal values of $\omega_i$ are calculated for three cases : (1) signal to noise ratio is used in the test, (2) normal approximations with unequal variances to the Poisson distributions are used in the test, and (3) the Poisson distribution it self is used. A comparison is made of the optimal values of $\omega_i$ in the three cases as parameter goes to infinity.

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LDV의 난류 스펙트럼 추정치 평가 (Assessment of Turbulent Spectral Estimators in LDV)

  • 이도환;성형진
    • 대한기계학회논문집
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    • 제16권9호
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    • pp.1788-1795
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    • 1992
  • 본 연구에서는 상술한 특성을 갖는 유동자에 대하여 신뢰성이 보장된 스펙트 럼 추정법의 모색과 화립을 위해 의사 난류신호(turbulent-like signal)를 자기회기 모형(autoregressive model:AR model)으로 생성하고 추출간격이 유동장에 영향을 받는 비주기적 확률과정을 수치적으로 모사한다. 이 비주기적 실현 신호로 부터 현재 가 장 많이 사용되고 있는 Roberts와 Gaster의 직접 변화법과 추출 및 유지신호의 피리오 도그램(periodogram)법에 대해 데이터 밀도와 난류강도의 다양한 변화에 따른 속도편 의의 영향 등을 살펴보는데 목적을 둔다.

3성분 지오폰을 이용한 동포아송비의 2차원 분포 연구 (A Study on the 2-D distribution of Dynamic Poisson's Ratio using 3-C Geophones)

  • 홍명호;황윤구;조철희;이윤정;김기영
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2005년도 공동학술대회 논문집
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    • pp.223-226
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    • 2005
  • 동일한 파원에서 발생된 P, SH, SV 파를 3성분 지오폰으로 동시에 기록하는 방법을 연구하기 위해서, 94 m의 측선을 따라 2 m 간격으로 설치한 수신점에서 기록된 24채널 자료를 512 ms동안 기록하였다. 원시자료의 수직성분에는 P파가 초동으로 뚜렷하게 나타나며, 측선방향과 수직한 수평성분은 P파가 약화된 반면 S파의 신호/잡음비가 향상된 모습을 보인다. 토모그래피 역산을 통해 계산된 P파 및 S파의 속도 토모그램을 이용하여 동포아송비의 2차원적 분포를 산출한 결과, 동포아송비는 $0.2{\~}0.3$의 범위로 분포하며, 이는 한번의 타격으로 P파 및 S파의 속도분포와 더불어 및 동포아송비의 2차원적 분포까지 획득할 수 있다는데 큰 의의가 있다고 판단된다.

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Computer에 의한 MOSFET의 2차원적 해석과 large signal modeling에 관한 연구 (A computer aided two-dimensional analysis of MOSFET and large signal modeling)

  • 손일헌;우형주
    • 전기의세계
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    • 제28권8호
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    • pp.51-56
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    • 1979
  • MOSFET의 모델을 설정하여 여러 bias 조건하에서 연결방정식과 Poisson 방정식을 numerical method로 풀어 그 해로서 전자와 정공의 분포와 전위분포를 구하였으며 또한 그 결과를 종래의 analytic한 이론들과 비교하여 보다 정확하고 CAD(Computer Aided Design)에 적합한 모델을 제안하였다.

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Cone-beam CT에서 웨이브렛 역치값을 이용한 x-ray 영상에서의 노이즈 제거 (Noise Reduction of medical X-ray Image using Wavelet Threshold in Cone-beam CT)

  • 박종덕;허영;진승오;전성채
    • 전자공학회논문지SC
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    • 제44권6호
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    • pp.42-48
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    • 2007
  • X-ray 영상 시스템에서는, 크게 2 종류의 noise 성분이 함유되어있다. 먼저 x-ray 방사선이 조사되어질 때, 검출기에서의 방사선의 상호작용으로부터 발생되어지는 것으로서 랜덤하게 발생되어지는 Poisson noise 성분이다. 다음으로 noise 성분은 readout electronics noise, pixel pattern noise 그리고 off-set noise 등으로부터 발생되어지는 Gaussian noise 성분이다. 그러나, x-ray 영상에서는 Gaussian noise가 아닌, Poisson noise로 모델링 되어진다. Gaussian noise에 의해서 발생되어지는 noise 성분은 위너필터 혹은 웨이브렛을 사용하여 쉽게 제거가 가능하지만, Poisson noise와 같은 랜덤 noise를 제거하기 위해서는 복잡한 분석기법이 필요하게 한다. 이 논문에서는 웨이브렛 영역에서 x-ray 영상의 Poisson noise를 제거하고자 하였으며, 적용된 분석 기법은 최적화된 웨이브렛 분석기법인 IBS(Improved BayesShrink)을 사용하였다. 적용된 IBS 기법은 cone-beam CT의 x-ray 영상에서의 기존의 방법에 비해 향상된 결과를 보여주었다.

Capacity Bounds in Random Wireless Networks

  • Babaei, Alireza;Agrawal, Prathima;Jabbari, Bijan
    • Journal of Communications and Networks
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    • 제14권1호
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    • pp.1-9
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    • 2012
  • We consider a receiving node, located at the origin, and a Poisson point process (PPP) that models the locations of the desired transmitter as well as the interferers. Interference is known to be non-Gaussian in this scenario. The capacity bounds for additive non-Gaussian channels depend not only on the power of interference (i.e., up to second order statistics) but also on its entropy power which is influenced by higher order statistics as well. Therefore, a complete statistical characterization of interference is required to obtain the capacity bounds. While the statistics of sum of signal and interference is known in closed form, the statistics of interference highly depends on the location of the desired transmitter. In this paper, we show that there is a tradeoff between entropy power of interference on the one hand and signal and interference power on the other hand which have conflicting effects on the channel capacity. We obtain closed form results for the cumulants of the interference, when the desired transmitter node is an arbitrary neighbor of the receiver. We show that to find the cumulants, joint statistics of distances in the PPP will be required which we obtain in closed form. Using the cumulants, we approximate the interference entropy power and obtain bounds on the capacity of the channel between an arbitrary transmitter and the receiver. Our results provide insight and shed light on the capacity of links in a Poisson network. In particular, we show that, in a Poisson network, the closest hop is not necessarily the highest capacity link.

Signal Shapes from a Closed-ended Coaxial HPGe Detector

  • Park, H. D.
    • Nuclear Engineering and Technology
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    • 제29권6호
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    • pp.451-458
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    • 1997
  • Signal shapes from a closed-ended coaxial HPGe detector are investigated by numerical methods. The detector used in this study has a volume of 72 ㎤ with relative efficiency of 15%. The electric field and potential distributions in the detector are determined by solving the Poisson equation at the depletion and operating bias. Hence the time dependent signal shapes induced on the electrode are obtained from the energy balance consideration and tv solving the equation of motion for the charge carriers. For various initial positions of a charge carrier pair, the collection times of induced charge vary in the range of 70 - 404 nsec.

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Monotone Likelihood Ratio Property of the Poisson Signal with Three Sources of Errors in the Parameter

  • Kim, Joo-Hwan
    • Communications for Statistical Applications and Methods
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    • 제5권2호
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    • pp.503-515
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    • 1998
  • When a neutral particle beam(NPB) aimed at the object and receive a small number of neutron signals at the detector, it follows approximately Poisson distribution. Under the four assumptions in the presence of errors and uncertainties for the Poisson parameters, an exact probability distribution of neutral particles have been derived. The probability distribution for the neutron signals received by a detector averaged over the three sources of errors is expressed as a four-dimensional integral of certain data. Two of the four integrals can be evaluated analytically and thereby the integral is reduced to a two-dimensional integral. The monotone likelihood ratio(MLR) property of the distribution is proved by using the Cauchy mean value theorem for the univariate distribution and multivariate distribution. Its MLR property can be used to find a criteria for the hypothesis testing problem related to the distribution.

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포아송 프로세스 모델링을 통한 셋톱박스 에너지 절감 성능 분석 (Performance Evaluation of Set-top Box Energy Saving using Poisson Process Modeling)

  • 김용호;김훈
    • 정보통신설비학회논문지
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    • 제10권1호
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    • pp.33-39
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    • 2011
  • This paper considers a performance analysis of set-top box (STB) power saving schemes. STB converts the signal into content which is then displayed on the television (TV) screen, and there are typically two operation modes: on mode and stand-by mode. The total energy consumption (TEC), a typical measure of power consumption of STB, is defined by the sum of power consumption in each mode. Recently there are some works of STB power saving schemes that transit STB operation modes efficiently, and the mode transition time point of those schemes can be different. Thus it is required to develop a performance evaluation method that reflects mode transition time points of each scheme to get TEC correctly. This paper proposes a performance evaluation method for STB power consumption using Poisson process to consider the mode transition time point. By modeling STB mode transitions as events of Poisson process, the average time duration of STB mode is computed and accordingly the effect of power saving is evaluated. The performance evaluation result shows that the proposed method achieves 1 to 19% improvement in power consumption compared with a conventional performance evaluation method.

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