• 제목, 요약, 키워드: Lagrange interpolation

검색결과 86건 처리시간 0.028초

과열영역과 포화영역의 증기표에 대한 상태량의 모델링 연구 (A Study on the Modelling of the State Variables for Superheated and Saturated Region)

  • 이태환;안국찬;박진현
    • 한국기계기술학회지
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    • v.19 no.4
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    • pp.531-537
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    • 2017
  • The state variables of saturated and superheated region in the steam table were simultaneously modeled using the neural networks. And the results were compared with quadratic spline interpolation and Lagrange interpolation. Two input data without distinguishing parameter were used in the neural networks. For comparison, quadratic spline interpolation method for superheated region and Lagrange interpolation method for saturated region were applied. The overall results revealed that the neural networks were greatly superior to quadratic interpolation method or Lagrange interpolation method.

Lagrange 보간법을 이용한 GPS Data 보간 (Interpolation of GPS Data Using Lagrange Interpolation Method)

  • 이은수;이용욱;박정현
    • 한국측량학회:학술대회논문집
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    • pp.129-133
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    • 2004
  • 9 GPS data with a 30 second sampling rate were extracted from the GPS raw data that recorded with 1 second interval for interpolation. 9 GPS data were interpolated using lagrange interpolation method and compared to the GPS raw data. Using a 9th-order interpolation, error of interpolated code data were within 0.5m.

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SPECTRAL METHODS AND HERMITE INTERPOLATION ON ARBITRARY GRIDS

  • Jung, H.S.;Ha, Y.S.
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.963-980
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    • 2009
  • In this paper, spectral scheme based on Hermite interpolation for solving partial differential equations is presented. The idea of this Hermite spectral method comes from the spectral method on arbitrary grids of Carpenter and Gottlieb [J. Comput. Phys. 129(1996) 74-86] using the Lagrange interpolation.

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Lagrange 이차 보간 다항식을 이용한 블록 펄스 급수 추정 (The Estimation of The Block Pulse Series by The Lagrange's Second Order Interpolation Polynomial)

  • 김태훈;이해기
    • 대한전기학회논문지:시스템및제어부문D
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    • v.51 no.6
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    • pp.235-240
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    • 2002
  • This paper presents a new method for estimating the block pulse series coefficients by using the Lagrange's second order interpolation polynomial. Block pulse functions have been used in a variety of fields such as the analysis and controller design of the systems. When the block pulse functions are used, it is necessary to find the more exact value of the block pulse series coefficients. But these coefficients have been estimated by the mean of the adjacent discrete values, and the result is not sufficient when the values are changing extremely. In this paper, the method for improving the accuracy of the block pulse series coefficients by using the Lagrange's second order interpolation polynomial is presented.

A Group Key Management Scheme for WSN Based on Lagrange Interpolation Polynomial Characteristic

  • Wang, Xiaogang;Shi, Weiren;Liu, Dan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.7
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    • pp.3690-3713
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    • 2019
  • According to the main group key management schemes logical key hierarchy (LKH), exclusion basis systems (EBS) and other group key schemes are limited in network structure, collusion attack, high energy consumption, and the single point of failure, this paper presents a group key management scheme for wireless sensor networks based on Lagrange interpolation polynomial characteristic (AGKMS). That Chinese remainder theorem is turned into a Lagrange interpolation polynomial based on the function property of Chinese remainder theorem firstly. And then the base station (BS) generates a Lagrange interpolation polynomial function f(x) and turns it to be a mix-function f(x)' based on the key information m(i) of node i. In the end, node i can obtain the group key K by receiving the message f(m(i))' from the cluster head node j. The analysis results of safety performance show that AGKMS has good network security, key independence, anti-capture, low storage cost, low computation cost, and good scalability.

Lagrange 보간법에 의한 Galois 스윗칭함수 구성 (Derivation of Galois Switching Functions by Lagrange's Interpolation Method)

  • 김흥수
    • 대한전자공학회논문지
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    • v.15 no.5
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    • pp.29-33
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    • 1978
  • 본 논문에서는 Galois 스윗칭함수를 구하기 위해서 임의의 유한체상에서 정의되는 Galois 체의 성질을 설명하였고, 임의의 유한체상에서의 연산방법을 밝혔다. 고리고 Lagrange 보간법에 의한 다항식이 유한체상에서 전개될 수 있음을 증명하였다 이 결과를 적용하여 단일변수를 갖는 Galois스윗칭 함수를 유도하고 다치논리회로를 실현하였다.

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Lagrange 이차 보간 다항식을 이용한 새로운 일반형 블럭 펄스 적분 연산 행렬 (A New Block Pulse Operational Matrices Improved by The Second Order Lagrange Interpolation Polynomial)

  • 심재선;김태훈
    • 대한전기학회논문지:시스템및제어부문D
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    • v.52 no.6
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    • pp.351-358
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients, deriving the Block Pulse integration operational matrices and generalizing the integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of state estimation or parameter identification more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and integral operational matrices. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices and generalized integration operational matrix by using the Lagrange second order interpolation polynomial.

Lagrange 이차 보간 다앙식을 이용한 개선된 적분 연산 행렬에 관한 연구 (Study on The Integration Operational Metrices Improved by The Lagrange Second Order Interpolation Polynomial)

  • 김태훈;이해기;정제욱
    • 대한전기학회논문지:시스템및제어부문D
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    • v.51 no.7
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    • pp.286-293
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    • 2002
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of continuous-time dynamic systems more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and drives the related integration operational matrices by using the Lagrange second order interpolation polynomial.

Lagrange 보간 및 반복 처리를 이용한 고밀도 Salt & Pepper 잡음 제거 (High Density Salt & Pepper Noise Reduction using Lagrange Interpolation and Iteration Process)

  • 권세익;김남호
    • 한국정보통신학회논문지
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    • v.19 no.4
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    • pp.965-972
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    • 2015
  • 현재 디지털 시대의 급속 발전과 함께 영상 매체는 인터넷, 컴퓨터, 디지털 카메라 등에 활용되고 있다. 그러나 디지털 영상을 획득, 처리, 전송, 기록하는 과정에서 여러 외부 원인에 의해 영상의 열화가 발생되며, 영상 열화의 주된 원인은 잡음에 의한 것으로 알려져 있다. 따라서 본 논문에서는 salt & pepper 잡음을 제거하기 위해 잡음 판단 후, 비잡음인 경우 원 화소로 대치하고, 잡음인 경우 Lagrange 보간법으로 처리하는 알고리즘을 제안하였다. 고밀도 잡음이 첨가되어 잡음제거가 불가능한 경우, 반복 처리하여 잡음 제거 특성을 향상시켰다. 그리고 객관적 판단을 위해 기존의 방법들과 비교하였으며, 판단의 기준으로 PSNR(peak signal to noise ratio)을 사용하였다.

Lagrange 이차 보간 다항식을 이용한 적분연산 행렬의 오차 해석에 관한 연구 (A Study on The Error Analysis of Integration Operational Metrices by The Lagrange Second Order Interpolation Polvnomial)

  • 이해기;김태훈
    • 대한전기학회:학술대회논문집
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    • pp.55-57
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In this paper, the accuracy of the Block Pulse series coefficients derived by using the Lagrange second order interpolation polynomial is approved by the mathematical method.

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