• Title/Summary/Keyword: bilinear transformation

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Extreme point results for robust schur stability

  • Kang, Hwan-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.467-470
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    • 1994
  • In this paper, we develop two sufficient conditions for Schur stability of convex combinations of discrete time polynomials. We give conditions under which Schur stability of the extremes implies Schur stability of the entire convex combination. These results are based on Bhattacharyya's result(1991), the AHMC theory in Barmish and Kang's paper (1993) and the bilinear transformation. Important applications of the results involves robust Schur stability of a feedback system having degenerate interval plants in an extreme point context.

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A Study on the Graphical Representations of the 2-Port Parameter on the Load Plane by the Bilinear Transformation (쌍일차 변환에 의한 부하평면 2-포트 매개변수의 그래픽적 표현에 관한 연구)

  • 강원준;라극환
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.9
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    • pp.692-699
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    • 1991
  • In this paper, graphical representations of parameter variations affected by series or parallel feedback in the load plane were studied. As a result of transformations, all parameters of 2-port was converted to circles, and the step of noise circles and gain circles was 0.1 dB and 1dB, respectively. Compared with conventional commercial CAD softwares, the circuit design procedures could be verified much more systemically. This CAD was programmed in C-language and executed in IBM-PC with VGA graphic adaptor.

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Multimodal Medical Image Registration based on Image Sub-division and Bi-linear Transformation Interpolation (영상의 영역 분할과 이중선형 보간행렬을 이용한 멀티모달 의료 영상의 정합)

  • Kim, Yang-Wook;Park, Jun
    • Journal of Biomedical Engineering Research
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    • v.30 no.1
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    • pp.34-40
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    • 2009
  • Transforms including translation and rotation are required for registering two or more images. In medical applications, different registration methods have been applied depending on the structures: for rigid bodies such as bone structures, affine transformation was widely used. In most previous research, a single transform was used for registering the whole images, which resulted in low registration accuracy especially when the degree of deformation was high between two images. In this paper, a novel registration method is introduced which is based image sub-division and bilinear interpolation of transformations. The proposed method enhanced the registration accuracy by 40% comparing with Trimmed ICP for registering color and MRI images.

Design of Servo Control System Using Bilinear Transformation Approach (쌍선형 변환법을 이용한 서어보 제어계 설계)

  • Kim, Sang-Bong;An, Hwi-Ung;Ji, Seok-Geun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.26 no.1
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    • pp.81-87
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    • 1990
  • In this paper, a new design method in which transient response behavior of a servo~system can be improved, is proposed using a bilinear transformation method which assigns the poles of the closed-loop system in a specified region. The servo-system is a dynamic system which follows the given reference input automatically. In the above meaning, the design of a servo-system is similar to a regulator design problem for the extended system which is resulted from the given system and the reference input by the well known internal moel principle. In the design problem of servo control system, it is supposed that the proposed design method has more practical meaning in comparison to the other design methods, in the views of assigning the characteristic roots of the closed loop system in a specified region satisfying a design specification for the given transient response rather than in the exact positions of the poles. The applicability of the design method proposed in this paper was proved by the simulation results for the angle control problem of an electrical servo mechanism.

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Digital Modeling of a Time delayed Continuous-Time System (시간 지연 연속 시간 시스템의 디지털 모델링)

  • Park, Jong-Jin;Choi, Gyoo-Seok;Park, In-Ku;Kang, Jeong-Jin
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.1
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    • pp.211-216
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    • 2012
  • Control Theory for continuous-time system has been well developed. Due to the development of computer technology, digital control scheme are employed in many areas. When delays are in control systems, it is hard to control the system efficiently. Delays by controller-to-actuator and sensor-to-controller deteriorate control performance and could possibly destabilize the overall system. In this paper, a new approximated discretization method and digital design for control systems with multiple state, input and output delays and a generalized bilinear transformation method with a tunable parameter are also provided, which can re-transform the integer time-delayed discrete-time model to its continuous-time model. Illustrative example is given to demonstrate the effectiveness of the developed method.

Simulation Study for the Distortion Correction of Digital Angiographic Images using Geometric Transformation (디지털 혈관 조영상의 기하학적 왜곡 보정을 위한 모의 실험 연구)

  • 진호상;신동훈;허순녕;곽철은;최보영;이형구;서태석
    • Journal of Biomedical Engineering Research
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    • v.23 no.5
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    • pp.365-373
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    • 2002
  • Accurate localization of target lesion is required to protect normal peripheral tissue and irradiate exactly to tumors in stereotactic radiosurgery(SRS). Digital angiography is one of the most effective diagnostic tools to detect and identify the target tumors. However, it shows pincushion distortion due to the characteristics of the image intensifier. We have implemented a simulation study for the correction of distortion using the geometric transformation. Phantom images were produced transformation. In conclusion, the geometric transformation could effectively be used for the pincushion distortion of image intensifier and there was no significant different between two methods indicating 2% correction error from the ideal image in all cases.

Interactive Face Warping Software for Smartphone (스마트폰용 대화식 얼굴 변형 소프트웨어)

  • Kim, Nam-Yun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.11 no.5
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    • pp.65-71
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    • 2011
  • Face warping techniques have been used for correcting image distortion as well as for creative purposes(e.g., morphing). Smartphone can capture an image from camera and transfer it through network. Thus, warping software which is implemented on the smartphone may be widely used in the fields of game and plastic surgery. This paper describes the design of face warping software using transformation with multiple pairs of lines and bilinear interpolation, and then shows the implementation results on the smartphone. Through many people review, this software showed real-time responsiveness and good transformation quality.

Discrete Application of Wave Board Transfer Function in Time Domain (시간영성에서 조파판 전달함수의 이산적 적용)

  • 전인식;박우선;오영민
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.2
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    • pp.133-142
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    • 1993
  • In a computer-controlling wave generating system. it is sometimes necessary to incorporate the discrete transfer operation of wave board into control circuit in order to control the system in a more delicate way. A numerical filter simulating the transfer operation of wave board in time domain is designed in the form of a discrete recursive filter. The filter was applied to some example board inputs f3r either regular or irregular wave conditions in order to evaluate the filter performance. The filter outputs were compared with the results of theoretical analysis or the discrete convolution method. showing their excellent agreements. The discrete realization of the filter presented hen is in fact of the bilinear transformation. It was shown that the transformation always avoids the aliasing errors, being surely applicable with a sufficient accuracy even for the band-unlimited transfer function of wave board.

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ANALYSIS AND PAEAMETER ESTIMATION OF LINEAR CONTINUOUS STSTEMS USING LINEAR INTEGRAL FILLTER

  • Sagara, Setsuo;Zhao, Zhen-Yu
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.1045-1050
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    • 1988
  • The problem of applying the linear integral filter in analysis and parameter estimation of linear continuous systems is discussed. A discrete-time model, which is equivalent to that obtained using the bilinear z transformation, is derived and employed to predict system output. It is shown that the output error can be controlled through the sampling interval. In order to obtain unbiased estimates, an instrumental variable (IV) method is proposed, where the instrumental variables are constituted using adaptive filtering. Some problems on implementation of the recursive IV algorithm are discussed. Both theoretical analysis and simulation study are given to illustrate the proposed methods.

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Computer-Aided Design of Dgital Elliptic Filters (Digital타원 필터의 Computer-Aided Design)

  • 李鍾寅;金東龍
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.1
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    • pp.123-132
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    • 1987
  • In this paper, we studied on the design of elliptic digital filters using the bilinear z transformation method, and proposed a design procedure satisfying prescribed specifications. The magnitude characteristics of digital filters are compared with its of analog filiters by computer simulation. Finaly we considered the quantization effects of digital filters. In cascader realization of fixed-point digital filters under dynamic range constraints, the outpout noise for IIR digital filters depends on the pole-zero pairing and ordering of the second order sections. Therfore an optmization procedure to finding a good ordering and pairing is very desirable. Thus, we proposed a sub-optimization procedure for finding "near optimal" solution.

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