• 제목/요약/키워드: Hartley function

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Harltley 함수를 이용한 선형시스템의 상태해석에 관한 연구 (Study for State Analysis of Linear Systems by using Hartley Functions)

  • 김범수;민치현
    • 제어로봇시스템학회논문지
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    • 제18권9호
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    • pp.806-811
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    • 2012
  • In this paper Hartley functions are used to approximate the solutions of continuous time linear dynamical system. The Hartley function and its integral operational matrix are first presented, an efficient algorithm to solve the Stein equation is proposed. The algorithm is based on the compound matrix and the inverse of sum of matrices. Using the structure of the Hartley's integral operational matrix, the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

SENSITIVITY ANALYSIS OF ATMOSPHERIC DISPERSION MODEL-RIMPUFF USING THE HARTLEY-LIKE MEASURE

  • Chutia, Rituparna;Mahanta, Supahi;Datta, D.
    • Journal of applied mathematics & informatics
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    • 제31권1_2호
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    • pp.99-110
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    • 2013
  • In this article, sensitivity analysis of atmospheric dispersion model RIMPUFF is considered. Uncertain parameters are taken to be triangular fuzzy numbers, and sensitivity analysis is carried out by using the Hartley-like measure. Codes for evaluating membership function using the Vertex method and the Hartley-like measure are prepared using Matlab.

Fast Hartley Transform을 이용한 확률론적 발전 시뮬레이션에 관한 연구 (A Study on the Probabilistic Generating Simulation by Fast Hartley Transform)

  • 송길영;김용하;최재석
    • 대한전기학회논문지
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    • 제39권4호
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    • pp.341-348
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    • 1990
  • This paper describes an algorithm for evaluating the Loss of Load Probability (LOLP) and calculating the production cost for all the generators in the system using Fast Hartley Transform (FHT). It also suggests the deconvolution procedure which is necessary for the generation expansion planning. The FHT is as fast as or faster than the Fast Fourier Transform (FFT) and serves for all the uses such as spectral, digital processing, and convolution to which the FFT is normally applied. The transformed function using FFT has complex numbers. However, the transformed function using FHT has real numbers and the convolution become quite simple. This method has been applied for the IEEE reliability test system and practical size model system. The test results show the effectiveness of the proposed method.

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혼합모형의 추정가능함수 (Estimable functions of mixed models)

  • 최재성
    • 응용통계연구
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    • 제29권2호
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    • pp.291-299
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    • 2016
  • 본 논문은 고정요인과 확률요인의 혼합모형에서 추정가능함수를 논의하고 있다. 고정효과모형에서 정의된 추정가능 함수가 혼합효과모형에서 어떻게 정의되어야 하는 가를 규정하고 추정가능함수의 분산추정치를 구하는 방법을 제시하고 있다. 또한 혼합모형에서 분산성분의 추정을 위한 제곱합의 계산에 상수적합법을 이용하고 추론을 위한 자유도의 계산에 Satterthwaite의 근사화를 다루고 있으며 분산성분을 구하기 위한 모형의 적합방식으로 단계별 방법을 적용하고 있다. 모형의 단계별 적합에서 주어지는 모형행렬의 사영을 이용한 제1종 제곱합의 계산방식이 제공되며 사영을 이용한 변동요인별 제1종 제곱합의 기댓값 계산에 Hartley의 합성법이 논의된다.