• Title/Summary/Keyword: 누적함수

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BER Performance of an Offset Stacked Spreading CDMA System Based on Orthogonal Complementary Codes (직교 상보코드 기반의 옵셋누적 확산 CDMA 시스템의 비트오율 성능)

  • Kim, Myoung-Jin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.3
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    • pp.1-8
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    • 2009
  • DS-CDMA system has very low bandwidth efficiency, hence it is difficult to maintain high spreading gain for high speed data transmission. Offset stacked spreading CDMA(OSS-CDMA) is a transmission scheme where spreading codes with chip offsets are overlapped, then transmitted. This kind of system requires a code set that guarantees orthogonality between codes in the set of any cjip offset. An orthogonal complementary code set has a property that the crosscorrelation function between codes in the group is zero for all shifts, hence it can be used for an OSS-CDMA system. In an OCC-OSS CDMA system each user is assigned an orthogonal complementary code group. User data bit is spread by the given codes and overlapped, and the code sequences are transmitted with multicarrier. However, the offset stacked spread sequences are multilevel, and the number of symbol levels is increases as the spreading efficiency is increased. When the OSS sequence is transmitted with MPSK mapping, the signal constellation becomes dense, and the system is easily affected by channel impairments. In this paper, we propose a level clipping scheme on OSS sequence before MPSK modulated. Simulations have been carried out to investigate the BER performance of the OCC-OSS CDMA system in AWGN environment. The results show that proposed scheme outperform the scheme without level clipping.

Multivariate empirical distribution functions and descriptive methods (다변량 경험분포함수와 시각적인 표현방법)

  • Hong, Chong Sun;Park, Jun;Park, Yong Ho
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.1
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    • pp.87-98
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    • 2017
  • The multivaiate empirical distribution function (MEDF) is defined in this work. The MEDF's expectation and variance are derived and we have shown the MEDF converges to its real distribution function. Based on random samples from bivariate standard normal distribution with various correlation coefficients, we also obtain MEDFs and propose two kinds of graphical methods to visualize MEDFs on two dimensional plane. One is represented with at most n stairs with similar arguments as the step function, and the other is described with at most n curves which look like bivariate quantile vector. Even though these two descriptive methods could be expressed with three dimensional space, two dimensional representation is obtained with ease and it is enough to explain characteristics of bivariate distribution functions. Hence, it is possible to visualize trivariate empirical distribution functions with three dimensional quantile vectors. With bivariate and four variate illustrative examples, the proposed MEDFs descriptive plots are obtained and explored.

Nonparametric estimation of hazard rates change-point (위험률의 변화점에 대한 비모수적 추정)

  • 정광모
    • The Korean Journal of Applied Statistics
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    • v.11 no.1
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    • pp.163-175
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    • 1998
  • The change of hazard rates at some unknown time point has been the interest of many statisticians. But it was restricted to the constant hazard rates which correspond to the exponential distribution. In this paper we generalize the change-point model in which any specific functional forms of hazard rates are net assumed. The assumed model includes various types of changes before and after the unknown time point. The Nelson estimator of cumulative hazard function is introduced. We estimate the change-point maximizing slope changes of Nelson estimator. Consistency and asymptotic distribution of bootstrap estimator are obtained using the martingale theory. Through a Monte Carlo study we check the performance of the proposed method. We also explain the proposed method using the Stanford Heart Transplant Data set.

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Image Based Damage Detection Method for Composite Panel With Guided Elastic Wave Technique Part I. Damage Localization Algorithm (복합재 패널에서 유도 탄성파를 이용한 이미지 기반 손상탐지 기법 개발 Part I. 손상위치 탐지 알고리즘)

  • Kim, Changsik;Jeon, Yongun;Park, Jungsun;Cho, Jin Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.1
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    • pp.1-12
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    • 2021
  • In this paper, a new algorithm is proposed to estimate the damage location in the composite panel by extracting the elastic wave signal reflected from the damaged area. The guided elastic wave is generated by a piezoelectric actuator and sensed by a piezoelectric sensor. The proposed algorithm adopts a diagnostic approach. It compares the non-damaged signal with the damaged signal, and extract damage information along with sensor network and lamb wave group velocity estimated by signal correlation. However, it is difficult to clearly distinguish the damage location due to the nonlinear properties of lamb wave and complex information composed of various signals. To overcome this difficulty, the cumulative summation feature vector algorithm(CSFV) and a visualization technique are newly proposed in this paper. CSFV algorithm finds the center position of the damage by converting the signals reflected from the damage to the area of distance at which signals reach, and visualization technique is applied that expresses feature vectors by multiplying damage indexes. Experiments are performed for a composite panel and comparative study with the existing algorithms is carried out. From the results, it is confirmed that the damage location can be detected by the proposed algorithm with more reliable accuracy.

Geographical Impact on the Annual Maximum Rainfall in Korean Peninsula and Determination of the Optimal Probability Density Function (우리나라 연최대강우량의 지형학적 특성 및 이에 근거한 최적확률밀도함수의 산정)

  • Nam, Yoon Su;Kim, Dongkyun
    • Journal of Wetlands Research
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    • v.17 no.3
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    • pp.251-263
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    • 2015
  • This study suggested a novel approach of estimating the optimal probability density function (OPDF) of the annual maximum rainfall time series (AMRT) combining the L-moment ratio diagram and the geographical information system. This study also reported several interesting geographical characteristics of the AMRT in Korea. To achieve this purpose, this study determined the OPDF of the AMRT with the duration of 1-, 3-, 6-, 12-, and 24-hours using the method of L-moment ratio diagram for each of the 67 rain gages in Korea. Then, a map with the Thiessen polygons of the 67 rain gages colored differently according the different type of the OPDF, was produced to analyze the spatial trend of the OPDF. In addition, this study produced the color maps which show the fitness of a given probability density function to represent the AMRT. The study found that (1) both L-skewness and L-kurtosis of the AMRT have clear geographical trends, which means that the extreme rainfall events are highly influenced by geography; (2) the impact of the altitude on these two rainfall statistics is greater for the mountaneous region than for the non-mountaneous region. In the mountaneous region, the areas with higher altitude are more likely to experience the less-frequent and strong rainfall events than the areas with lower altitude; (3) The most representative OPDFs of Korea except for the Southern edge are Generalized Extreme Value distribution and the Generalized Logistic distribution. The AMRT of southern edge of Korea was best represented by the Generalized Pareto distribution.

Determination of drought events considering the possibility of relieving drought and estimation of design drought severity (가뭄해갈 가능성을 고려한 가뭄사상의 결정 및 확률 가뭄심도 산정)

  • Yoo, Ji Young;Yu, Ji Soo;Kwon, Hyun-Han;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.49 no.4
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    • pp.275-282
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    • 2016
  • The objective of this study is to propose a new method to determine the drought event and the design drought severity. In order to define a drought event from precipitation data, theory of run was applied with the cumulative rainfall deficit. When we have a large amount of rainfall over the threshold level, in this study, we compare with the previous cumulative rainfall deficit to determine whether the drought is relieved or not. The recurrence characteristics of the drought severity on the specific duration was analyzed by the conditional bivariate copula function and confidence intervals were estimated to quantify uncertainties. The methodology was applied to Seoul station with the historical dataset (1909~2015). It was observed that the past droughts considered as extreme hydrological events had from 10 to 50 years of return period. On the other hand, the current on-going drought event started from 2013 showed the significantly higher return period. It is expected that the result of this study may be utilized as the reliable criteria based on the concept of return period for the drought contingency plan.

Automatic Construction of Fuzzy Rules for Efficinet Pattern Recognition (효율적 패턴 인식을 위한 퍼지 규칙의 자동 생성)

  • 이양원;최형일
    • Journal of the Korean Institute of Intelligent Systems
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    • v.3 no.4
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    • pp.32-47
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    • 1993
  • 본 논문에서는 주어진 문제 영역상의 자료를 특성에 따라 분류하고, 자동적으로 퍼지 규칙을 생성할 수 있는 방법을 제안한다. 제안된 방법은 기존의 방법에 비하여 효율적으로 퍼지 공간을 분할하고, 분할된 퍼지 공간의 부분적인 합병을 통하여 퍼지 규칙의 수를 최적화한다. 또한, 본 논문에서는 생성된 퍼지 규칙들이 정형적인 형태를 유지하도록 하며, 이용상의 적응력을 높히기 위하여 누적-히스토그램을 이용하여 귀속 함수를 정의하는 방법을 제안한다.

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ROC Function Estimation (ROC 함수 추정)

  • Hong, Chong-Sun;Lin, Mei Hua;Hong, Sun-Woo
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.987-994
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    • 2011
  • From the point view of credit evaluation whose population is divided into the default and non-default state, two methods are considered to estimate conditional distribution functions: one is to estimate under the assumption that the data is followed the mixture normal distribution and the other is to use the kernel density estimation. The parameters of normal mixture are estimated using the EM algorithm. For the kernel density estimation, five kinds of well known kernel functions and four kinds of the bandwidths are explored. In addition, the corresponding ROC functions are obtained based on the estimated distribution functions. The goodness-of-fit of the estimated distribution functions are discussed and the performance of the ROC functions are compared. In this work, it is found that the kernel distribution functions shows better fit, and the ROC function obtained under the assumption of normal mixture shows better performance.

Estimation of Residual Useful Life and Tracking of Real-time Damage Paths of Rubble-Mound Breakwaters Using Stochastic Wiener Process (추계학적 위너 확률과정을 이용한 경사제의 실시간 피해경로 추적과 잔류수명 추정)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.3
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    • pp.147-160
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    • 2020
  • A stochastic probabilistic model for harbor structures such as rubble-mound breakwater has been formulated by using the generalized Wiener process considering the nonlinearity of damage drift and its nonlinear uncertainty, by which the damage path with real-time can be tracked, the residual useful lifetime at some age can also be analyzed properly. The formulated stochastic model can easily calculate the probability of failure with the passage of time through the probability density function of cumulative damage. In particular, the probability density functions of residual useful lifetime of the existing harbor structures can be derived, which can take into account the current age, its present damage state and the future damage process to be occurred. By using the maximum likelihood method and the least square method together, the involved parameters in the stochastic model can be estimated. In the calibration of the stochastic model presented in this paper, the present results are very well similar with the results of MCS about tracking of the damage paths as well as evaluating of the density functions of the cumulative damage and the residual useful lifetime. MTTF and MRL are also evaluated exactly. Meanwhile, the stochastic probabilistic model has been applied to the rubble-mound breakwater. The related parameters can be estimated by using the experimental data of the cumulative damages of armor units measured as a function of time. The theoretical results about the probability density function of cumulative damage and the probability of failure are very well agreed with MCS results such that the density functions of the cumulative damage tend to move to rightward and the amounts of its uncertainty are increased as the elapsed time goes on. Thus, the probabilities of failure with the elapsed time are also increased sharply. Finally, the behaviors of residual useful lifetime have been investigated with the elapsed age. It is concluded for rubble-mound breakwaters that the probability density functions of residual useful lifetime tends to have a longer tail in the right side rather than the left side because of the gradual increases of cumulative damage of armor units. Therefore, its MRLs are sharply decreased after some age. In this paper, the special attentions are paid to the relationship of MTTF and MRL and the elapsed age of the existing structure. In spite of that the sum of the elapsed age and MRL must be equal to MTTF deterministically, the large difference has been shown as the elapsed age is increased which is due to the uncertainty of cumulative damage to be occurred in the future.

종속적 신상품의 수요확산모형: 무선인터넷 사례를 중심으로

  • Park, Yun-Seo
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.1089-1094
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    • 2005
  • Peterson and Mahajan(1978)은 Bass모형을 확장한 종속적 신상품 수요확산모형(contingent diffusion model)을 처음으로 제안하였다. Peterson and Mahajan(1978)이 명명한 상품간의 종속적(contingent) 관계란, 주 상품의 경우는 다른 상품에 독립적이지만 종속적 상품(contingent product)의 경우는 잠재시장이 주 상품의 누적 구매자 수에 의존하는 경우를 말한다. 그런데 Peterson and Mahajan이 제안한 기존 모형은 실질적 활용에 있어서 모형 추정이 불가능하다는 단점을 지니고 있을 뿐만 아니라, Bass(1969) 모형처럼 엄밀한 확률이론에 근간을 둔 모형이라기보다는 직관과 통찰력에 근간을 둔 Bass모형의 단순한 확장 모형이라는 한계를 지니고 있다. 본 연구는 이러한 한계를 극복하고 확률이론을 바탕으로 종속적 관계를 가지는 상품들에 대한 수요 확산모형을 개발하는데 목적이 있다. Bass의 신상품확산모형은 hazard 함수 모형의 일종으로 신상품의 확산을 혁신과 구전효과로 설명한 과학적 모형이다. 본 연구에서는 확률이론을 활용함으로써 이러한 Bass의 hazard 함수 모형의 확장이 가능함을 보이고, 이를 토대로 종속적 관계에 있는 신상품들에 대한 수요 확산모형을 개발하였다. 또한 개발된 모형을 한국의 이동전화와 무선인터넷 사례에 적용하여 실증 분석을 수행하였다.

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