• 제목/요약/키워드: bilinear transformation

검색결과 44건 처리시간 0.029초

쌍이차 변환행렬의 계산 (Computing Biquadratic Transformation Matrix)

  • 김동민;추연석
    • 제어로봇시스템학회논문지
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    • 제15권2호
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    • pp.128-131
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    • 2009
  • Recently it has been shown in the literature that a biquadratic transformation can be used to deal with the pathological cases arising in the bilinear transformation. This paper concerns the computational aspect of the biquadratic transformation. Two efficient algorithms are presented to compute the transformation matrix.

Probabilistic Bilinear Transformation Space-Based Joint Maximum A Posteriori Adaptation

  • Song, Hwa Jeon;Lee, Yunkeun;Kim, Hyung Soon
    • ETRI Journal
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    • 제34권5호
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    • pp.783-786
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    • 2012
  • This letter proposes a more advanced joint maximum a posteriori (MAP) adaptation using a prior model based on a probabilistic scheme utilizing the bilinear transformation (BIT) concept. The proposed method not only has scalable parameters but is also based on a single prior distribution without the heuristic parameters of the previous joint BIT-MAP method. Experiment results, irrespective of the amount of adaptation data, show that the proposed method leads to a consistent improvement over the previous method.

이산시간 $\textrm{H}^{\infty}$제어기의 설계방법 (A Design Method for a discrete-time $\textrm{H}^{\infty}$ Controller)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1444-1447
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    • 1997
  • In this paper, the problen of dseigning a H.inf. controller is considered, where the controller is realized through digital equipment. We show that the existing discrete-time controller design method can be improved by usign the inveres bilinear transformation. The usefulness of the given method is confirmed by simulation.

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타원함수를 이용한 Digital 필터의 설계 (The Design of Digital Filter Using Elliptic Functions)

  • 김동용;이종연;신홍규
    • 한국통신학회논문지
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    • 제11권5호
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    • pp.315-322
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    • 1986
  • 本 論文은  圓函數를 利用한 IIR digital 필터 設計에 關하여 硏究한 것이다. Digital  圓函數는 analog  圓函數로부터 Bilinear z 變換에 依하여 求하였다. Bilinear z 變換된 函數로 digital필터를 設計하면 aliasing 現象은 避할 수 있으나 周波數歪曲이 發生한다. Analog函數를 digital函數로 變換하면 이러한 影響으로 遮斷周波數 領域이 不一致하므로 이것을 避하기 爲하여 prewarping法을 利用하였다. 마지막으로, 컴퓨터 simulation에 依하여 analog 크기 特性과 digital 크기 特性을 比較한 結果, prewarping을 한 digital 크기特性이 analog 크기 特性에 比하여 改善되었음을 確認할 수 있었다.

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Prewarping법을 이용한 SCF의 주파수 #곡 보상에 관한 연구 (A Study on compensation of Frequency Distortion of SCF by Using Prewarping Procedure)

  • 최민호;김도현
    • 대한전자공학회논문지
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    • 제22권5호
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    • pp.69-74
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    • 1985
  • 본 논문에서는 먼저 Sensitivity가 가장 낮은 LC Ladder 필터로 부터 FDNR frequency dependent negative resists.) 방식을 이용하여 5차 Butterworth 저역 통과 능동 RC필터를 설계하였으며 능동 RC 필터를 SCF(switched capacito, filter)로 변조하는 과정에서 Bilinear Z변환을 이용하였다. Bilinear Z 변환으로 설계된 SCF에서 aliasing 현상은 피할수 있으나 주파수 대곡이 발생한다. 아나로그 필터를 디지틀 릴터로 변환하면 이러한 영향으로 속단 주파수 영역이 일치하지 않으므로 이것을 적게 하기 위하여 Prewarping을 해준다. 그 결과 Prewarping된 SCF는 Bilinear Z 변환된 SCF보다 각파수 이유이 현저하게 개선됨을 확인하였다.

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QR 분해와 채널 분해법을 이용한 비선형 격자 알고리듬 (Nonlinear Lattice Algorithms using QRD and Channel Decomposition)

  • 안봉만;백흥기
    • 전자공학회논문지B
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    • 제32B권10호
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    • pp.1326-1337
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    • 1995
  • In this paper, we transformed the bilinear filter into an equivalent linear multichannel filter and derived QR decomposition based recursive least squares algorithms for bilinear lattice filters. We also defined order update relation of the forward and the backward input vectors by using the channel decomposition. The forward and the backward data matrices were defined by using the forward and the backward input vectors and orthogonalized with the QR decomposition. we can obtain the lattice equations of the bilinear filters by using the channel decomposition. we can be derived the lattice equations of the bilinear filters using this decomposition process which are the same as the lattice equations derived by Baik, we can use the coefficient transformation algorithm proposed by Baik. We derived the equation error and the output error algorithm of the QRD based RLS bilinear lattice algorithm. Also, we evaluated the performance of the proposed algorithms through the system identification of the bilinear system.

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쌍선형 변환에 의한 연속 시간계의 설계 (Design of Continuous-Time System Using Bilinear Transformation)

  • 김상봉;안휘웅
    • 수산해양기술연구
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    • 제25권3호
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    • pp.137-142
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    • 1989
  • 본 논문에서는 연속시간계의 설계 문제에 있어, 연속계의 설계방법 그대로서는 설계 불가능한 하나의 문제, 즉, 복소좌반 평면상의 어떤 지정한 폐영역내의 극배치 문제를 쌍선형변환법을 이용해서 해결하는 하나의 설계방법을 제안했다. 실제적인 시스템 설계의 경우, 폐루우프 계의 특성근을 정확히 지정된 위치에 배치하여야만 할 경우는 드물고, 대개의 경우, 어떤 희망하는 영역내에 배치하면 충분하다. 특히 구체적으로 극을 지정하는 지침에 결핍되어 있을 경우나, 폐루우푸 계의 특성인 속응성, 진동특성, 안정도 등을 고려할 경우, 그 극을 지정 위치에 배치하기보다도 어떤 지정한 영역내에 배치하는 쪽이 유효하다고 할 수 있으므로, 다변수제어계의 설계 문제에 있어, 그 가치가 크다고 할 수 있다

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보상된 bilinear 변환을 이용한 향상된 LMI 기반 지능형 디지털 재설계 (An Improved LMI-Based Intelligent Digital Redesign Using Compensated Bilinear Transform)

  • 김도완;주영훈;박진배
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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    • pp.91-94
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    • 2005
  • This paper presents a new linear- matrix- inequality- basedintelligent digital redesign (LMI-based IDR) technique to match he states of the analog and the digital control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the multirate control is employed, and the control input is changed N times during one sampling period; 2) The proposed IDR technique is based on the compensated bilinear transformation.

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Design of A Controller Using Successive Approximation for Weakly Coupled Bilinear Systems

  • Chang, Jae-Won;Kim, Young-Joong;Kim, Beom-Soo;Lim, Myo-Taeg
    • KIEE International Transaction on Systems and Control
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    • 제12D권1호
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    • pp.33-38
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    • 2002
  • In this paper, the infinite time optimal regulation problem for weakly coupled bilinear systems with quadratic performance criteria is obtained by a sequence of algebraic Lyapunov equations. This is the new approach is based on the successive approximation. In particular, the order reduction is achieved by using suitable state transformation so that the original Lyapunov equations are decomposed into the reduced-order local Lyapunov equations. The proposed algorithms not only solve optimal control problems in the weakly coupled bilinear system but also reduce the computation time. This paper also includes an example to demonstrate the procedures.

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Rectification of Perspective Text Images on Rectangular Planes

  • Le, Huy Phat;Madhubalan, Kavitha;Lee, Guee-Sang
    • International Journal of Contents
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    • 제6권4호
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    • pp.1-7
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    • 2010
  • Natural images often contain useful information about the scene such as text or company logos placed on a rectangular shaped plane. The 2D images captured from such objects by a camera are often distorted, because of the effects of the perspective projection camera model. This distortion makes the acquisition of the text information difficult. In this study, we detect the rectangular object on which the text is written, then the image is restored by removing the perspective distortion. The Hough transform is used to detect the boundary lines of the rectangular object and a bilinear transformation is applied to restore the original image.