• 제목/요약/키워드: Lagrange interpolation

검색결과 92건 처리시간 0.035초

무인잠수정 제어시스템을 위한 네트워크 전송지연 및 패킷분실 보상기법 (Compensating Transmission Delay and Packet Loss in Networked Control System for Unmanned Underwater Vehicle)

  • 양인석;강선영;이동익
    • 대한임베디드공학회논문지
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    • 제6권3호
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    • pp.149-156
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    • 2011
  • Transmission delay and packet loss induced by a communication network can degrade the control performance and, even make the system unstable. This paper presents a method for compensating transmission delay and packet loss in a networked control system for unmanned underwater vehicle. The proposed method is based on Lagrange interpolation in order to satisfy the requirements of simplicity and model-independency. In this work, the lost/delayed data are estimated in real time by only using the past data without requiring any mathematical model of the controlled system. Consequently, the proposed method can be implemented independent of the controlled system, and also it can achieve fast and accurate compensation performance. The performance of the proposed technique is evaluated by numerical simulations with an unmanned underwater vehicle.

Eulerian-Lagrangian 방법을 이용한 1차원 종확산방정식의 수치모형 (Numerical Modeling of One-Dimensional Longitudinal Dispersion Equation using Eulerian-Lagrangian Method)

  • 서일원;김대근
    • 물과 미래
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    • 제27권2호
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    • pp.155-166
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    • 1994
  • Eulerian-Lagrangian 방법을 이용하여 1차원 종확산방정식의 수치모형을 비교·분석하였다. 본 연구에서서 비교·분석한 모형은 지배방정식을 연산자 분리방법에 의해서 이송만을 지배하는 이송방정식과 확산만을 지배하는 확산방정식으로 분리한다. 이송방정식은 특성곡선을 따라서 유체입자를 추적하는 특성곡선법을 사용하여 해를 구하고, 그 결과를 고정된 Eulerian 격자상에 보간하였고, 확산방정식은 상기 고정격자상에서 Crank-Nicholson 유한차분법을 사용하여 해를 구하였다. 이송방정식의 풀이에서 다양한 보간방법이 적용되었는데, 일반적으로 Hermite 보간다항식을 사용한 경우가 Lagrange 보간다항식을 사용한 경우보다 수치확산 및 수치진동 등의 오차를 최소화할 수 있어서 더욱 우수한 것으로 밝혀졌다.

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임펄스 잡음 제거를 위한 부분 마스크와 라그랑지 보간법에 기반한 필터 알고리즘 (A Filter Algorithm based on Partial Mask and Lagrange Interpolation for Impulse Noise Removal)

  • 천봉원;김남호
    • 한국정보통신학회논문지
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    • 제26권5호
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    • pp.675-681
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    • 2022
  • 최근 IoT 기술과 AI의 발전에 따라 다양한 분야에서 무인화와 자동화가 진행되고 있으며, 사물인식과 객체분류 등 자동화의 기반이 되는 영상처리에 대한 관심이 높아지고 있다. 영상처리 과정에서 잡음 제거는 영상의 품질 또는 시스템의 정확성과 신뢰성에 큰 영향을 미치는 과정으로 다양한 연구가 진행되고 있으나, 영상에서 임펄스 잡음의 밀도가 높은 영역에 대한 영상을 복원하기 어렵다는 문제점이 있다. 따라서 본 논문은 영상에서 임펄스 잡음 훼손된 영역을 복원하기 위해 부분 마스크와 라그랑지 보간법에 기반한 필터 알고리즘을 제안한다. 제안한 알고리즘은 필터링 마스크와 잡음 추정치를 서로 비교하여 필터링 과정을 스위칭하였으며, 영상의 저주파 및 고주파 성분에 따라 퍼지 가중치를 계산하여 영상을 복원하였다.

보조필터를 이용한 가중치 보간방법 (Weighted Interpolation Method Using Supplementary Filter)

  • 장인걸;이재경;정진균
    • 대한전자공학회논문지SP
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    • 제48권3호
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    • pp.119-124
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    • 2011
  • 보간 필터는 통신과 멀티미디어 응용프로그램에 널리 사용된다. 다항식 보간은 보간된 값을 얻기 위해서 입력정보에 따른 다항식의 계수를 계산한다. 최근에 다항식 보간방법의 성능을 향상시키기 위하여 보조필터를 이용한 FIR 보간방법이 제안되었다. 본 논문에서는 최대값 또는, 최소값 계산 등 특정 순간의 보간 값만 필요한 응용에서 보간필터의 성능을 더욱 향상시킬 수 있는 보조필터를 이용한 가중치 적용 보간방법을 제안한다. 제안한 방법을 X-선 형광분석장치에서 사용되는 정규분포곡선에 대한 보간에 적용하여 기존 보간방법에 비해 더욱 우수한 보간 성능이 제공됨을 보인다.

A Modified Adams Predictor-Corrector Method for Differential Equations with Highly Oscillating Solutions

  • Moon, Byung Soo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제2권2호
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    • pp.21-25
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    • 1998
  • An algorithm for a solution of ordinary differential equations using a modified corrector in the Adams predictor-corrector method of order four is described. The Lagrange interpolation used in the corrector of the Adams method is replaced partially by the cubic spline interpolation satisfying the first derivative constraints at the two end points. By exhibiting three examples, we show that the proposed method is more effcient when the solution of a differential equation is highly oscillating.

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내삽법 기반의 최소자승법을 이용한 개선된 CT 포화 복원 알고리즘 (An Enhanced Compensation Algorithm for the CT Saturation Using Interpolation-based LSQ(Least Square) Fitting Method)

  • 류기찬;강상희;이봉현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 A
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    • pp.14-15
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    • 2006
  • A saturation of magnetic flux in the core may occur when a large primary current flows when the iron-cored current transformer is used. This saturation makes the distorted secondary current of the CT. the distorted secondary current may cause the mal-operation or operation time delay of protective relays. CT compensation algorithm using The LSQ(Least Square) fitting method has a problem. It needs to acquire enough data for executing this algorithm without an error. In this paper, an enhanced algorithm using interpolation based LSQ(Least Square) Fitting Method is proposed. The Lagrange Interpolation Method is used for the interpolation and CT is simulated by EMTP. The results show that the proposed algorithm can accurately compensate a distorted secondary current more than existing Algorithm when the saturation severely occurs.

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A New Unified Scheme Computing the Quadrature Weights, Integration and Differentiation Matrix for the Spectral Method

  • Kim, Chang-Joo;Park, Joon-Goo;Sung, Sangkyung
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.1188-1200
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    • 2015
  • A unified numerical method for computing the quadrature weights, integration matrix, and differentiation matrix is newly developed in this study. For this purpose, a spline-like interpolation using piecewise continuous polynomials is converted into a global spline interpolation formula, with which the quadrature formulas can be derived from integration and differentiation of the transformed function in an exact manner. To prove the usefulness of the suggested approach, both the Lagrange and tension spline interpolations are represented in exactly the same form as global spline interpolation. The applicability of the proposed method on arbitrary nodes is illustrated using two different sets of nodes. A series of validations using three test functions is conducted to show the flexibility in selecting computational nodes with the present method.

조사구간 윈도우 변형을 이용한 PIV에서 보간법 평가 (Assessment of Interpolation Schemes in the Window Deformation PIV)

  • 김병재;성형진
    • 한국가시화정보학회지
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    • 제4권2호
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    • pp.59-68
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    • 2006
  • We have evaluated the performances of the following six interpolation schemes used for win-dow deformation in particle image velocimetry (PIV): the linear, quadratic, B-spline, cubic, sinc, Lagrange interpolations. Artificially generated images comprised of particles of diameter in a range pixel were investigated. Three particle diameters were selected for detailed evaluation: pixel with a constant particle concentration $0.02particle/pixel^2$. Two flow patterns were considered: uniform and shear flows. The mean and random errors, and the computation times of the interpolation schemes were determined and compared.

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SPEECH SYNTHESIS IN THE TIME DOMAIN BY PITCH CONTROL USING LAGRANGE INTERPOLATION(TD-PCULI)

  • Kang, Chan-Hee;Shin, Yong-Jo;Kim, Yun-Seok-;Kang, Dae-Soo;Lee, Jong-Heon-;Kwon, Ki-Hyung;An, Jeong-Keun;Sea, Sung-Tae;Chin, Yong-Ohk
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1994년도 FIFTH WESTERN PACIFIC REGIONAL ACOUSTICS CONFERENCE SEOUL KOREA
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    • pp.984-990
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    • 1994
  • In this paper a new speech synthesis method in the time domain using mono-syllables is proposed. It is to overcome the degradation of the synthetic speech quality by the synthesis method in the frequency domain and to develop an algorithm in the time domain for the prosodic control. In particular when we use a method in a time domain with mono-syllable as a synthesis unit it will be the main issues which are to control th pitch period and to smooth the energy pattern. As a solution to the pitch control, a method using Lagrange interpolation is suggested. As a solution to the other problem, an algorithm which can control the amplitude envelop shape of mono-syllable is proposed. As the results of experiments it was possible to synthesize unlimited Korean speeches including the prosody control. Accoding to the MOS evaluation the quality and the naturality in them was improved to be a good level.

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