• Title/Summary/Keyword: 초기 수렴 속도

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Blind adaptive equalizations using the multi-stage radius-directed algorithm in QAM data communications (QAM 시스템에서 다단계 반경-지향 알고리듬을 이용한 블라인드 적응 등화)

  • 이영조;임승주;이재용;강창언
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.9
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    • pp.1957-1967
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    • 1997
  • Adaptive channel equlization accomplished without resorting to a training sequence is known as blind equalization. In this paper, in order to reduce the speed of the convergence and the steady-state mean squared error simultaneously, we propose the multi-stage RD(radius-directed) algorithm derived from the combination of the constant modulus algorithm and the radius-directed algorithm. In the starting stage, multi-stage RD algorithm are identical to the constant modulus algorithm which guarantees the convergence of the equalizer. As the blind identical to the constant modulus algorithm which guarantees the convergence of the equalizer. As the blind equalizer converges, the number of the level of the quantizers is increased gradually, so that the proposed algorithm operate identical to the radius-directed algorithm which leads to the low error power after the covnergence. Therefore, the multi-stage RD algorithm obtains fast convergence rage and low steady stage mean square error.

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Exact solver of Saint-Venant system with discontinuous geometry (불연속 지형조건에 대한 Saint-Venant 방정식의 정해법)

  • Jung, Jaeyoung;Hwang, Jin Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.256-256
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    • 2021
  • Saint-Venant 방정식은 수평규모가 수심규모보다 큰 천수흐름을 기술하는 수리동역학 모형으로 지난 수십년간 공학적 분야에서 널리 이용되어 왔다. 최근에도 기후변화에 따른 도시 홍수의 위기 증대로 홍수위기관리의 관심이 높아짐에 따라 홍수파(flood wave), 도시침수(urban inundation), 돌발홍수(flash flood) 등의 신속한 예측을 위한 Saint-Venant 방정식의 연구가 활발히 진행되고 있다. 그러나 도시와 같은 인공구조물이 즐비한 상황에서 천수흐름을 해석하는 고전적인 수치해법들은 다양한 불연속 지형들의 존재로 인하여 불안정하며 지배방정식의 정해로 수치해가 잘 수렴하지 않는 문제가 있다. 지난 수년간 이를 해결하기 위해 불연속한 지형을 안정적으로 해결할 수 있는 수치기법의 연구가 진행되어 왔으나, 정해로의 수렴성, 정확성에 관하여 연구가 부족한 실정이다. 본 연구는 수치해법의 주요 구조를 구성하는 Saint-Venant 방정식의 불연속한 지형조건에 대한 리만 문제의 정해를 연구하였다. 쌍곡선형 시스템의 특징을 고려하여 요소파들(elementary waves)의 공식을 유도하였는데, 질량과 에너지의 보존법칙에 위배되지 않으며 운동량이송부의 비선형성과 지형의 불연속에 의한 비엄격성을 고려할 수 있는 조건을 제시하였다. 또한, 유도된 요소파들을 바탕으로 L-M & R-M 커브이론(Han et al. 2014)을 사용할 수 있는 조건과 당위성을 증명하였고, 이를 바탕으로 Saint-Venant 방정식의 정해법을 구성하였다. 리만문제의 다양한 초기조건들을 바탕으로 모든 경우의 정해 구조를 조사하였고, 이를 통해 불연속 지형에 대한 Saint-Venant 지배방정식의 정해가 다수해를 갖을 수 있음을 보였으며, 이를 근사할 수 있는 수치기법의 전략을 소개하였다.

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A Study on the Optimum Convergence Constant of an Echo Canceller (Echo Canceller의 수렴상수 최적화에 관한 연구)

  • 정기석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.3
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    • pp.355-359
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    • 1993
  • This paper presents a derivation of the optimum convergence constant to yield the most rapid convergence under a desired mean-square error (MSE) for echo canceller using the LMS algorithm. For white input data, the optimum convergence constant is a simple closed-form function of the number of filter taps, the input signal variance, the initial MSE, and the desired MSE. This characteristic makes it easily designed in many practical applications. Computer simulations are also employed to show the correctness and effectiveness of the derived results.

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A Study on Estimate for Error and Convergence of Membrane Structures According to the Nonlinear Form-finding Techniques (비선형 형상 탐색 기법에 따른 막구조물의 오차와 수렴성 평가에 관한 연구)

  • Shon, Su-Deok;Kim, Seung-Deog;Jeong, Eul-Seok;Jeon, Jin-Hyung
    • Journal of Korean Association for Spatial Structures
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    • v.7 no.3 s.25
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    • pp.57-66
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    • 2007
  • The membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The material property of the membrane has strong axial stiffness, but little bending stiffness. The design procedure of membrane structures are needed to do shape finding, stress-deformation analysis and cutting pattern generation. In shape finding, membrane structures are unstable structures initially. These soft structures need to be introduced initial stresses because of its initial unstable state, and happen large deformation phenomenon. Therefore, in this paper, we investigate the convergence of solution and the speed according to the control variables and the method of shape analysis.

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Convergence Property Analysis of Multiple Modulus Self-Recovering Equalization According to Error Dynamics Boosting (다중 모듈러스 자기복원 등화의 오차 역동성 증강에 따른 수렴 특성 분석)

  • Oh, Kil Nam
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.1
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    • pp.15-20
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    • 2016
  • The existing multiple modulus-based self-recovering equalization type has not been applied to initial equalization. Instead, it was used for steady-state performance improvement. In this paper, for the self-recovering equalization type that considers the multiple modulus as a desired response, the initial convergence performance was improved by extending the dynamics of the errors using error boosting and their characteristics were analyzed. Error boosting in the proposed method was carried out in proportion to a symbol decision for the equalizer output. Furthermore, having the initial convergence capability by extending the dynamics of errors, it showed excellent performance in the initial convergence rate and steady-state error level. In particular, the proposed method can be applied to the entire process of equalization through a single algorithm; the existing methods of switching over or the selection of other operation modes, such as concurrent operating with other algorithms, are not necessary. The usefulness of the proposed method was verified by simulations performed under the channel conditions with multipath propagation and additional noise, and for performance analysis of self-recovering equalization for high-order signal constellations.

An Efficient Traning of Multilayer Neural Newtorks Using Stochastic Approximation and Conjugate Gradient Method (확률적 근사법과 공액기울기법을 이용한 다층신경망의 효율적인 학습)

  • 조용현
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.5
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    • pp.98-106
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    • 1998
  • This paper proposes an efficient learning algorithm for improving the training performance of the neural network. The proposed method improves the training performance by applying the backpropagation algorithm of a global optimization method which is a hybrid of a stochastic approximation and a conjugate gradient method. The approximate initial point for f a ~gtl obal optimization is estimated first by applying the stochastic approximation, and then the conjugate gradient method, which is the fast gradient descent method, is applied for a high speed optimization. The proposed method has been applied to the parity checking and the pattern classification, and the simulation results show that the performance of the proposed method is superior to those of the conventional backpropagation and the backpropagation algorithm which is a hyhrid of the stochastic approximation and steepest descent method.

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The Initial Value Setting-Up Method for Extending the Range of the Optimal Step Parameter under LMS Algorithm (LMS 알고리즘에서 최적 매개변수의 선택 폭 확대를 위한 초기치의 설정방법)

  • Cho, Ki-Ryang;An, Hyuk;Choo, Byoung-Yoon;Lee, Chun-Jae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.2
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    • pp.284-292
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    • 2003
  • In this paper, we carried out the numerical examination of the initial value setting-up method to extend the range of optimal step parameter in a adaptive system which is controlled by LMS algorithm. For initial value setting-up methods, the general method which select the initial value randomly and the other method which applies the approximate value obtained from the direct method to initial value, were used. And then, we compared to the ranges of step parameter setting, the convergence speeds of mean-square-error, and the stabilities during the convergence process when the initial values were applied to the optimal directivity synthesis problem. According to the numerical simulation results, the initial value setting-up method by means of the direct method provides wider range for the step parameter, more efficient capability for convergence and stability, and more error correction ability than the general method.

Fixed Point Algorithm for GPS Measurement Solution (GPS 관측치 위치계산을 위한 부동점 알고리즘)

  • Lim, Samsung
    • Journal of Advanced Navigation Technology
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    • v.4 no.1
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    • pp.45-49
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    • 2000
  • A GPS measurement solution, in general, is obtained as a least squares solution since the measurement includes errors such as clock errors, ionospheric and tropospheric delays, multipath effect etc. Because of the nonlinearity of the measurement equation, we utilize the nonlinear Newton algorithm to obtain a least squares solution, or mostly, use its linearized algorithm which is more convenient and effective. In this study we developed a fixed point algorithm and proved its availability to replace the nonlinear Newton algorithm and the linearized algorithm. A nonlinear Newton algorithm and a linearized algorithm have the advantage of fast convergence, while their initial values have to be near the unknown solution. On the contrary, the fixed point algorithm provides more reliable but slower convergence even if the initial values are quite far from the solution. Therefore, two types of algorithms may be combined to achieve better performance.

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Sensorless control of PMSM in high speed with sliding mode observer (슬라이딩 모드 관측기를 이용한 고속 영구자석형 동기 전동기의 센서리스 제어)

  • Kim, Jong-Moo;Lee, Suk-Gyu
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.964-965
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    • 2008
  • 본 논문은 고속 영구자석형 동기전동기의 센서리스 제어에 관한 것이다. 정지상태에서 초기 기동시 부터 고속영역까지 센서리스 알고리즘을 구현하기 위하여 슬라이딩 모드 관측기를 적용하여 회전자의 회전각을 실시간으로 관측하여 벡터제어 알고리즘을 구현하였다. 슬라이딩 모드 관측기의 채트링을 개선하고 넓은 속도 범위에서 안정된 응답을 얻기 위하여 속도에 따른 가변 이득 알고리즘과 관측기의 수렴을 여부를 판별하여 제한된 PWM 주기 내에서 관측기를 반복수행 관측기의 성능을 개선하는 알고리즘을 제안 하였다. 또한 제안된 알고리즘을 실험을 통하여 검증을 하였다. 초기 기동시 및 고속 영역에서 우수한 성능의 센서리스 알고리즘 구현되었을 확인하였다.

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MMSE Based Continuous Turbo Equalizer for MIMO-HARQ Systems (MIMO-HARQ 시스템을 위한 MMSE 기반 연속 터보 등화기)

  • Park, Sangjoon;Choi, Sooyong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.10
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    • pp.619-621
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    • 2014
  • In this letter, an MMSE based continuous turbo equalizer is proposed for MIMO-HARQ systems. In the proposed scheme, the soft information from the reception process for the previous transmission is reutilized at the initialization of the reception process for the next transmission to enhance the decoding convergence speed. Simulation results verify that the proposed scheme achieves an improved BLER with a significantly accelerated decoding convergence speed.