• 제목/요약/키워드: iterative inversion method.

검색결과 51건 처리시간 0.015초

Optimum Directivity Synthesis of Ultrasonic Transducers Using Direct Inversion in Combination with Iterative DFP Method

  • K. R. Cho;Kim, C. D.;T. Tsuchiya;Y. Kagawa
    • 한국시뮬레이션학회:학술대회논문집
    • /
    • 한국시뮬레이션학회 2001년도 The Seoul International Simulation Conference
    • /
    • pp.477-483
    • /
    • 2001
  • Optimum directivity synthesis of ultrasonic transducers in linear array is considered. To realize the desired directivity, a robust and efficient method is proposed which is the direct inversion combined with the iterative DFP (Davidon-Fletcher-Powell) method. A quasi-ideal beam with the beam width and the steering beam angle specified are chosen for the numerical demonstrations. The demonstration is then extended to the case of multi-beams. The proposed combination method shows quick convergence over the single LMS or DFP method at the expense of the system matrix inversion.

  • PDF

속도중합역산을 위한 반복적 최소자승법 - Part A: IRLS 방법 (Iterative Least-Squares Method for Velocity Stack Inversion - Part A: IRLS method)

  • 지준
    • 지구물리와물리탐사
    • /
    • 제8권2호
    • /
    • pp.163-169
    • /
    • 2005
  • 속도중합을 역산을 이용하면 탄성파 자료처리에서 있어서 다양한 처리가 가능하므로, 이 분야는 최근에 들어 매우 유용한 영역으로 주목을 받고 있다. 이러한 다양한 처리에 속도중합 역산을 응용하기 위해서는 사용하는 역산이 잡음에 강하면서도 고해상도의 속도중합 결과를 얻을 수 있어야 한다. 이러한 성질을 갖는 역산 방법들 중에서 가장 성공적인 방법 중의 하나라고 볼 수 있는 반복적 가중의 최소자승법(Iteratively Reweighted Least-Squares: IRLS)의 이론적 배경과 구현 방법을 소개하고, 기존 기술 특성과 한계성을 살펴보았다.

반복적(反復的) 역산법(逆算法)에 의(依)한 중력자료(重力資料)의 해석(解析)에 관(關)한 연구(硏究) (A Study on Interpretation of Gravity Data by using Iterative Inversion Methods)

  • 노철환;양승진;신창수
    • 자원환경지질
    • /
    • 제22권3호
    • /
    • pp.267-276
    • /
    • 1989
  • This paper presents results of interpretaton of gravity data by iterative nonlinear inversion methods. The gravity data are obtained by a theoretical formula for two-dimensional 2-layer structure. Depths to the basement of the structure are determined from the gravity data by four interative inversion methods. The four inversion methods used here are the Gradient, Gauss-Newton, Newton-Raphson, and Full Newton methods. Inversions are performed by using different initial guesses of depth for the over-determined, even-determined, and under-determined cases. This study shows that the depth can be determined well by all of the methods and most efficiently by the Newton-Raphson method.

  • PDF

외부 전류가 흐를 때 초전도 선재에서의 전류 분포 (current profiles in a coated conductor with transport current)

  • 유재은;이상무;정예현;이재영;염도준
    • 한국초전도ㆍ저온공학회논문지
    • /
    • 제9권3호
    • /
    • pp.1-4
    • /
    • 2007
  • The current profiles in a coated conductor with transport current were calculated using an iterative inversion method from the data of the magnetic flux density profiles measured. The applied current was increased from 0 to 60 A by 10A step and decreased down to -60A by 20A step. The magnetic flux profiles were measured at a distance of 400 mm above the surface of the coated conductor using a scanning hall probe method. The current profiles calculated were very different from the Bean model: current density profile is not a constant in the critical region. However the aspect of the change of the current and magnetic flux density profiles in the case of decreasing applied current are similar to the theoretical calculations in Brandt's paper.

A comparative study of low-complexity MMSE signal detection for massive MIMO systems

  • Zhao, Shufeng;Shen, Bin;Hua, Quan
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제12권4호
    • /
    • pp.1504-1526
    • /
    • 2018
  • For uplink multi-user massive MIMO systems, conventional minimum mean square error (MMSE) linear detection method achieves near-optimal performance when the number of antennas at base station is much larger than that of the single-antenna users. However, MMSE detection involves complicated matrix inversion, thus making it cumbersome to be implemented cost-effectively and rapidly. In this paper, we first summarize in detail the state-of-the-art simplified MMSE detection algorithms that circumvent the complicated matrix inversion and hence reduce the computation complexity from ${\mathcal{O}}(K^3)$ to ${\mathcal{O}}(K^2)$ or ${\mathcal{O}}(NK)$ with some certain performance sacrifice. Meanwhile, we divide the simplified algorithms into two categories, namely the matrix inversion approximation and the classical iterative linear equation solving methods, and make comparisons between them in terms of detection performance and computation complexity. In order to further optimize the detection performance of the existing detection algorithms, we propose more proper solutions to set the initial values and relaxation parameters, and present a new way of reconstructing the exact effective noise variance to accelerate the convergence speed. Analysis and simulation results verify that with the help of proper initial values and parameters, the simplified matrix inversion based detection algorithms can achieve detection performance quite close to that of the ideal matrix inversion based MMSE algorithm with only a small number of series expansions or iterations.

반복적 비선형역산에 의한 2차원 지질구조의 중력자료 해석 연구 (A Study on Interpretation of Gravity Data on Two-Dimensional Geologic Structures by Iterative Nonlinear Inverse)

  • 고진석;양승진
    • 자원환경지질
    • /
    • 제27권5호
    • /
    • pp.479-489
    • /
    • 1994
  • In this paper, the iterative least-squares inversion method is used to determine shapes and density contrasts of 2-D structures from the gravity data. The 2-D structures are represented by their cross-sections of N-sided polygons with density contrasts which are constant or varying with depth. Gravity data are calculated by theoretical formulas for the above structure models. The data are considered as observed ones and used for inversions. The inversions are performed by the following processes: I) polygon's vertices and density contrast are initially assumed, 2) gravity are calculated for the assumed model and error between the true (observed) and calculated gravity are determined, 3) new vertices and density contrast are determined from the error by using the damped least-squares inversion method, and 4) final model is determined when the error is very small. Results of this study show that the shape and density contrast of each model are accurately determined when the density contrast is constant or vertical density gradient is known. In case where the density gradient is unknown, the inversion gives incorrect results. But the shape and density gradient of the model are determined when the surface density contrast is known.

  • PDF

SVD Pseudo-inverse를 이용한 영상 재구성 (SVD Pseudo-inverse and Application to Image Reconstruction from Projections)

  • 심영석;김성필
    • 대한전자공학회논문지
    • /
    • 제17권3호
    • /
    • pp.20-25
    • /
    • 1980
  • Singular value decomposition을 통한 pseudo-inverse를 단층영상 재구성에 이용하였다. 본 논문에서는 SVD pseudo-inverse를 이용한 truncated inverse filter와 Scalar Wiener filter에 대하여 검토하고 각각에 대하여 통계적 측면에서의 최적화가 연구되었다. 이러한 방법은 신호와 잡음문에 trade-off를 기함으로써 재구성 문제에 항상 뒤따르는 ill-conditioning 현상을 극복할 수 있다. 본 논문을 통하여 구성된 filter의 성능을 확인하기 위하여 컴퓨터를 이용한 simulation이 이루어졌으며 그 결과 재구성된 협상은 만족할 만 하였다.

  • PDF

손실 반공간에 묻힌 2차원 원통형 파이프의 검출 및 식별 (Iterative Reconstruction of Multiple Cylinders Buried in the Lossy Half Space)

  • Kim, Jeong-Seok;Ra, Jung-Woong
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2001년도 하계종합학술대회 논문집(1)
    • /
    • pp.173-176
    • /
    • 2001
  • Several dielectric as well as conducting cylinders buried in the lossy half space are reconstructed from the scattered fields measured along the interface between the air and the lossy ground. Iterative inversion method by using the hybrid optimization algorithm combining the genetic and the Levenberg-Marquardt algorithm enables us to find the positions, the sizes, and the medium parameters such as the permittivities and the conductivities of the buried cylinders as well as those of the background lossy half space. Illposedness of the inversion caused by the errors in the measured scattered fields are regularized by filtering the evanescent modes of the scattered fields out.

  • PDF

손실 반공간에 묻힌 원통형 산란체의 검출 및 영상제구성에 의한 식별 (Iterative Teconstruction of a Cylinder Buried in the Lossy Half Space)

  • 김정석;나정웅
    • 한국전자파학회논문지
    • /
    • 제11권6호
    • /
    • pp.939-945
    • /
    • 2000
  • 손실 반공간 묻혀 원동형 산란체와 주면 매질의 특성을 반복 기법 최적화 역산란을 적용하여 구했다. 산란파는 경계요소법을 이용하여 계산하였으며 산란체의 크기, 위치 내부매질의 비유전율, 도전율, 주변 매질의 비유전율, 도전율 등의 파라미터는 측정 산란파로부터 유전 알고리즘과 Levenberg-Marquardt 알고리즘의 혼합 알고리즘을 이요하여 역으로 계산하였다. 산란타의 측정오차에 의한 illposedness는 파수 영역에서 자수함수적으로 감쇠하는 감쇠모드를 제거하여 안정하시켰다.

  • PDF

학습제어를 이용한 비최소 위상 비선형 시스템의 점근적 추종 (Asymptotic Output Tracking of Non-minimum Phase Nonlinear Systems through Learning Based Inversion)

  • 김남국
    • 한국기계가공학회지
    • /
    • 제21권8호
    • /
    • pp.32-42
    • /
    • 2022
  • Asymptotic tracking of a non-minimum phase nonlinear system has been a popular topic in control theory and application. In this paper, we propose a new control scheme to achieve asymptotic output tracking in anon-minimum phase nonlinear system for periodic trajectories through an iterative learning control with the stable inversion. The proposed design method is robust to parameter uncertainties and periodic external disturbances since it is based on iterative learning. The performance of the proposed algorithm was demonstrated through the simulation results using a typical non-minimum nonlinear system of an inverted pendulum on a cart.