• 한국측량학회:학술대회논문집
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• 한국측량학회 2004년도 추계학술발표회 논문집
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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.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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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.

• 대한전기학회논문지:시스템및제어부문D
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• 제51권6호
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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.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권7호
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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.

• 대한설비공학회:학술대회논문집
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• 대한설비공학회 2007년도 동계학술발표대회 논문집
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• pp.29-33
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• 2007

In order to protect the environment from the refrigerant pollution, the $CO_2$ may be regarded as one of the most attractive alternative refrigerants for an automotive air-conditioning system. Control methods for a $CO_2$ system should be different because of $CO_2$'s unique properties as a refrigerant. Especially, the high-side pressure of a $CO_2$ system should be controlled for the effective operation of the system. In this study, the high-side pressure setpoint algorithm was developed by using a neural network and a Lagrange interpolation method. These methods were compared. Simulation results showed that a Lagrange interpolation method was more effective than a neural network in the respect of its easiness of programming and shorter execution time.

• 대한전자공학회논문지
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• 제15권5호
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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.

• 한국산학기술학회논문지
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• 제22권4호
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• pp.37-41
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• 2021

본 논문은 낮은 사양의 임베디드 시스템에서 터치 입력시에 실시간 응답특성을 나타내기 위해 보간법을 이용한 알고리즘을 도입하여 실시간 응답 처리가 가능한 터치 스크린을 구현하는 연구에 관한 것이다. 본 실험에서는 2점 데이터에서 1차 다항식을 도출하여 임의 데이터를 추정하는 선형 보간 알고리즘과 3점 데이터에서 2차 다항식을 도출하여 임의 데이터를 추정하는 라그랑지 (Lagrange) 보간 알고리즘이 적용되었다. 실험결과로써, 라그랑지 보간법이 선형보간법보다 수식이 복잡하여 처리속도가 느려서 글씨도 매끄럽지 못함을 알게 되었다. 선형 보간법을 사용시 화면에 표시되는 속도가 라그랑지 보간법 사용시보다 2.4배 빠름을 확인하였다. 실시간 응답특성을 위해서는 알고리즘 자체의 우수성보다는 실행파일 크기가 더 작은 알고리즘이 더 유리하다는 점을 확인하였다. 결론적으로, 저사양 임베디드 시스템에서 실시간 응답특성을 확보하기 위해서는 상대적으로 간단한 선형보간법 알고리즘 채용이 라그랑지 보간법을 사용하는 것보다 더 우수한 실시간 응답특성의 터치동작을 수행함을 확인하였다.

• 대한전기학회논문지:시스템및제어부문D
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• 제51권7호
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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.

• 대한전기학회논문지:시스템및제어부문D
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• 제52권6호
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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.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 학술대회 논문집 전문대학교육위원
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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.