• 제목/요약/키워드: maximum theorem

검색결과 87건 처리시간 0.03초

Boundary-adaptive Despeckling : Simulation Study

  • Lee, Sang-Hoon
    • 대한원격탐사학회지
    • /
    • 제25권3호
    • /
    • pp.295-309
    • /
    • 2009
  • In this study, an iterative maximum a posteriori (MAP) approach using a Bayesian model of Markovrandom field (MRF) was proposed for despeckling images that contains speckle. Image process is assumed to combine the random fields associated with the observed intensity process and the image texture process respectively. The objective measure for determining the optimal restoration of this "double compound stochastic" image process is based on Bayes' theorem, and the MAP estimation employs the Point-Jacobian iteration to obtain the optimal solution. In the proposed algorithm, MRF is used to quantify the spatial interaction probabilistically, that is, to provide a type of prior information on the image texture and the neighbor window of any size is defined for contextual information on a local region. However, the window of a certain size would result in using wrong information for the estimation from adjacent regions with different characteristics at the pixels close to or on boundary. To overcome this problem, the new method is designed to use less information from more distant neighbors as the pixel is closer to boundary. It can reduce the possibility to involve the pixel values of adjacent region with different characteristics. The proximity to boundary is estimated using a non-uniformity measurement based on standard deviation of local region. The new scheme has been extensively evaluated using simulation data, and the experimental results show a considerable improvement in despeckling the images that contain speckle.

Analytical Approximation Algorithm for the Inverse of the Power of the Incomplete Gamma Function Based on Extreme Value Theory

  • Wu, Shanshan;Hu, Guobing;Yang, Li;Gu, Bin
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제15권12호
    • /
    • pp.4567-4583
    • /
    • 2021
  • This study proposes an analytical approximation algorithm based on extreme value theory (EVT) for the inverse of the power of the incomplete Gamma function. First, the Gumbel function is used to approximate the power of the incomplete Gamma function, and the corresponding inverse problem is transformed into the inversion of an exponential function. Then, using the tail equivalence theorem, the normalized coefficient of the general Weibull distribution function is employed to replace the normalized coefficient of the random variable following a Gamma distribution, and the approximate closed form solution is obtained. The effects of equation parameters on the algorithm performance are evaluated through simulation analysis under various conditions, and the performance of this algorithm is compared to those of the Newton iterative algorithm and other existing approximate analytical algorithms. The proposed algorithm exhibits good approximation performance under appropriate parameter settings. Finally, the performance of this method is evaluated by calculating the thresholds of space-time block coding and space-frequency block coding pattern recognition in multiple-input and multiple-output orthogonal frequency division multiplexing. The analytical approximation method can be applied to other related situations involving the maximum statistics of independent and identically distributed random variables following Gamma distributions.

Non-linear dynamic assessment of low-rise RC building model under sequential ground motions

  • Haider, Syed Muhammad Bilal;Nizamani, Zafarullah;Yip, Chun Chieh
    • Structural Engineering and Mechanics
    • /
    • 제74권6호
    • /
    • pp.789-807
    • /
    • 2020
  • Multiple earthquakes that occur during short seismic intervals affect the inelastic behavior of the structures. Sequential ground motions against the single earthquake event cause the building structure to face loss in stiffness and its strength. Although, numerous research studies had been conducted in this research area but still significant limitations exist such as: 1) use of traditional design procedure which usually considers single seismic excitation; 2) selecting a seismic excitation data based on earthquake events occurred at another place and time. Therefore, it is important to study the effects of successive ground motions on the framed structures. The objective of this study is to overcome the aforementioned limitations through testing a two storey RC building structural model scaled down to 1/10 ratio through a similitude relation. The scaled model is examined using a shaking table. Thereafter, the experimental model results are validated with simulated results using ETABS software. The test framed specimen is subjected to sequential five artificial and four real-time earthquake motions. Dynamic response history analysis has been conducted to investigate the i) observed response and crack pattern; ii) maximum displacement; iii) residual displacement; iv) Interstorey drift ratio and damage limitation. The results of the study conclude that the low-rise building model has ability to resist successive artificial ground motion from its strength. Sequential artificial ground motions cause the framed structure to displace each storey twice in correlation with vary first artificial seismic vibration. The displacement parameters showed that real-time successive ground motions have a limited impact on the low-rise reinforced concrete model. The finding shows that traditional seismic design EC8 requires to reconsider the traditional design procedure.

전파 인지 네트워크에서 전력 제어를 위한 게임 알고리즘 (Game Algorithm for Power Control in Cognitive Radio Networks)

  • 노창배;닐리메쉬 할더;송주빈
    • 한국항행학회논문지
    • /
    • 제13권2호
    • /
    • pp.201-207
    • /
    • 2009
  • 게임 이론을 적용한 기술은 전파 인지 시스템에서 전파 자원을 효율적으로 이용할 수 있는 유용한 방법으로 그 연구가 활발히 진행되고 있다. 전파 자원 관리 시스템은 그 효율성에 따라서 전파 통신 시스템의 성능을 좌우하게 되므로 효율적인 알고리즘의 연구가 요구된다. 본 논문에서는 이러한 분산 전력 제어가 적응적으로 구현되도록 하기 위하여 게임 이론을 적용한 새로운 시도를 해석적으로 제안하였다. 기존의 연구 결과들은 전력 제어를 게임 이론적으로 해석하는 가능성만을 보인 반면, 본 논문에서는 전파 인지 네트워크에서 네쉬 균형 (Nash Equilibrium)을 구하는 구체적인 알고리즘을 제안하였다. 네트워크에 접속된 부사용자들이 공동으로 만족하는 네쉬 균형 즉, 최적 전력 제어를 달성하도록 하는 방법을 제안하였다. 특히, 전파 인지 네트워크가 DSSS (Direct Sequence Spread Spectrum) 기술을 사용할 경우를 가정하여 이에 대한 적응적 전력 제어를 위한 게임 이론적 모델을 적용하였다. 게임 이론적인 알고리즘을 적용한 결과 DSSS 네트워크에서 K=63이고 N=12인 경우 네쉬 균형에 도달하기 위한 반복 횟수가 최대 200 이하인 결과를 보였다.

  • PDF

사면(斜面)의 삼차원(三次元) 파괴확률(破壞確率)에 관한 연구(硏究) (A Three Dimensional Study on the Probability of Slope Failure)

  • 김영수;임병조;백영식
    • 대한토목학회논문집
    • /
    • 제3권3호
    • /
    • pp.95-106
    • /
    • 1983
  • 사면(斜面)의 3차원(次元) 파괴(破壞)의 신뢰성(信賴性) 해석(解析)에 안전율(安全率)대신 파괴확률(破壞確率)이 사용(使用)되었다. 강도정수(强度定數)는 정규분포(正規分布)와 베타분포(分布)(beta distribution)로 가정하였고 특별(特別)한 신뢰도(信賴度)와 최우추정법(最尤推定法)에 의하여 구간추정(區間推定)을 하였다. 정규분포(正規分布)와 베타분포(分布)의 의사무작위변수(擬似無作爲變數)는 중심극한정리(中心極限定理)와 Rejection방법(方法)에 따라 일양분포변환방법(一樣分布變換方法)을 사용(使用)하여 발생(發生)시켰고 몬테칼로방법 (Monte-Carlo Method)에 의한 파괴확률(破壞確率)은 다음과 같이 정의(定義)된다. $$P_f$$=M/N M: 파괴회수(破壞回數) N: 시행회수(施行回數) 본(本) 연구(硏究)의 결론(結論)은 강도정수(强度定數)를 정규분포(正規分布)로 가정한 경우에는 주어진 파괴표면(破壞表面)에 대하여 어떤 해석방법(解析方法)과 차원(次元)에 대해서도 안전율(安全率)과 파괴확률(破壞確率)과의 관계는 일정(一定)하였으나 베타분포(分布)로 가정 한 경우에는 일정(一定)한 관계가 나타나지 않았다.

  • PDF

사면(斜面)의 삼차원(三次元) 파괴확률(破壞確率)에 관(關)한 연구(硏究)(II) (A Three Dimensional Study on the Probability of Slope Failure(II))

  • 김영수;차홍준;정성관
    • 산업기술연구
    • /
    • 제3권
    • /
    • pp.53-63
    • /
    • 1983
  • The probability of failure is used to analyze the reliability of three dimensional slope failure, instead of conventional factor of safety. The strength parameters are assumed to be normal variated and beta variated. These are interval estimated under the specified confidence level and maximum likelihood estimation. The pseudonormal and beta random variables are generated using the uniform probability transformation method according to central limit theorem and rejection method. By means of a Monte-Carlo Simulation, the probability of failure is defined as; Pf=M/N N : Total number of trials M : Total number of failures Some of the conclusions derived from the case study include; 1. Three dimensional factors of safety are generally much higher than 2-D factors of safety. However situations appear to exist where the 3-D factor of safety can be lower than the 2-D factor of safety. 2. The F3/F2 ratio appears to be quite sensitive to c and ${\phi}$ and to the shape of the 3-D shear surface and the slope but not to be to the unit weight of soil. 3. In cases that strength parameters are assumed to be normal variated and beta variated, the relationships between safety factor and the probability of failure are fairly consistent, regardless of the shape of the 3-D shear surface and the slope. 4. As the c-value is increased, the probability of failure for the same safety factor is increased and as the ${\phi}-value$ is increased, the probability of failure for the same safety factor is decreased.

  • PDF

Ka-band 대역의 급전 혼과 카셋그레인 안테나 개발 (Design of Ka-band Feed Horn and Cassegrain Antenna)

  • 안승범;추호성;강진섭
    • 한국전자파학회논문지
    • /
    • 제18권8호
    • /
    • pp.943-953
    • /
    • 2007
  • 본 논문에서는 Ka-band에서 동작하는 스칼라 급전 혼을 가진 카셋그레인 안테나를 개발하였다. 카셋그레인 안테나의 효과적인 EM 시뮬레이션을 위해 계산된 급전 혼의 근거리장을 표면 등가 이론을 이용하여 카셋그레인의 등가 전원으로 사용하였다. 급전 혼은 $HE_{11}$ 모드로 동작하는 주름 원형 혼 안테나를 사용하였으며, 카셋그레인의 주 부경 각도 및 급전 중심점을 안테나 효율이 최대가 되도록 설계하였다. 제안된 급전 혼 안테나는 33 GHz에서 19 dBi 이득을 보이며, 부엽의 크기는 -25dB 이하, $20^{\circ}$의 반전력 빔 폭을 가졌다. 카셋그레인 안테나는 33GHz에서 41 dBi 이득을 가져 60%의 안테나 효율을 보이며 부엽기 크기는 -20dB 이하, $1.2^{\circ}$의 반전력 빔 폭을 보였다.

수평축 풍력터빈의 공력 하중 비교 (I): 난류 유입 유·무 (Comparison of Aerodynamic Loads for Horizontal Axis Wind Turbine (I): with and without Turbulent Inflow)

  • 김진;강승희;유기완
    • 한국항공우주학회지
    • /
    • 제44권5호
    • /
    • pp.391-398
    • /
    • 2016
  • 본 연구에서는 난류 유입조건을 갖는 수평축 풍력터빈 블레이드의 공력 하중에 대해 초점을 맞추어 연구하였다. 난류모델은 풍속과 방향에 대한 변동을 포함하며, 그 특성은 난류 강도와 표준편차로 표현된다. IEC61400-1에서는 정상 난류 모델과 정상 풍속 측면도에 대해서 피로해석을 수행하도록 규정하고 있다. 이를 위해 공력 최적설계 절차를 통해 얻어낸 MW급 수평축 풍력터빈 블레이드 허브와 저속 회전축에 대한 공력하중 해석을 수행한다. 공력하중 성분은 수치적인 절차를 통해 얻어내며 이를 블레이드 회전 특성을 고려하여 해석적으로 검토하였다. 난류 조건을 고려했을 때의 최대 추력과 토크의 변동치는 난류 조건을 고려하지 않았을 때의 값들에 비해 5~8 배 더 큰 값을 보였다. 따라서 난류 조건을 반영한 하중 해석은 풍력터빈 블레이드의 구조설계에 있어서 필수적임을 확인하였다.

BOUNDED MOVEMENT OF GROUP ACTIONS

  • Kim, Pan-Soo
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제5권
    • /
    • pp.523-523
    • /
    • 1997
  • Suppose that G is a group of permutations of a set ${\Omega}$. For a finite subset ${\gamma}$of${\Omega}$, the movement of ${\gamma}$ under the action of G is defined as move(${\gamma}$):=$max\limits_{g{\epsilon}G}|{\Gamma}^{g}{\backslash}{\Gamma}|$, and ${\gamma}$ will be said to have restricted movement if move(${\gamma}$)<|${\gamma}$|. Moreover if, for an infinite subset ${\gamma}$of${\Omega}$, the sets|{\Gamma}^{g}{\backslash}{\Gamma}| are finite and bounded as g runs over all elements of G, then we may define move(${\gamma}$)in the same way as for finite subsets. If move(${\gamma}$)${\leq}$m for all ${\gamma}$${\subseteq}$${\Omega}$, then G is said to have bounded movement and the movement of G move(G) is defined as the maximum of move(${\gamma}$) over all subsets ${\gamma}$ of ${\Omega}$. Having bounded movement is a very strong restriction on a group, but it is natural to ask just which permutation groups have bounded movement m. If move(G)=m then clearly we may assume that G has no fixed points is${\Omega}$, and with this assumption it was shown in [4, Theorem 1]that the number t of G=orbits is at most 2m-1, each G-orbit has length at most 3m, and moreover|${\Omega}$|${\leq}$3m+t-1${\leq}$5m-2. Moreover it has recently been shown by P. S. Kim, J. R. Cho and C. E. Praeger in [1] that essentially the only examples with as many as 2m-1 orbits are elementary abelian 2-groups, and by A. Gardiner, A. Mann and C. E. Praeger in [2,3]that essentially the only transitive examples in a set of maximal size, namely 3m, are groups of exponent 3. (The only exceptions to these general statements occur for small values of m and are known explicitly.) Motivated by these results, we would decide what role if any is played by primes other that 2 and 3 for describing the structure of groups of bounded movement.

  • PDF

자동차와 자전거 간 추월 최소요구 이격거리 추정 방법론 연구 (Methodology to estimate minimum required separation distance between vehicle and bicycle when overtaking)

  • 전우훈;이영인;양인철;이향미
    • 한국도로학회논문집
    • /
    • 제19권6호
    • /
    • pp.191-199
    • /
    • 2017
  • PURPOSES : The objective of this study is to develop a methodology to estimate the minimum required separation distance (MRSD) between a vehicle and a bicycle when overtaking. METHODS : Three steps have been conducted to develop a methodology to estimate MSRD. First, a literature review has been conducted on the measurement of MSRD, and how it may be applied in Korea. Second, two assumptions have been made to develop a methodology to estimate the MSRD. The first assumption is that the maximum separation distance between a vehicle and a bicycle can be observed when they are at the same location longitudinally. In addition, it is assumed that the separation distance is invalid when the contra-flow exists. Finally, three cameras were installed at a height of 10 m to record the vehicle-bicycle interaction. Moreover, the vehicle trajectories as well as the separation distance were coded and analyzed. Through the hypothesis test and the interval estimation, the sample mean was tested and the confidence interval was estimated. RESULTS : 141 records of separation distance data were collected, and the hypothesis test demonstrated that the MSRD in Korea is significantly higher than other countries. In addition, the confidence interval of the population mean of MSRD is from 1.51 m to 1.65 m with 95% level of confidence. CONCLUSIONS : It is expected that the proposed methodology to estimate MSRD would be beneficial in studying road safety of vehicles and bicycles. Also, the proposed MSRD is expected to be designated in the act of road and transportation.