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研究生:沈毅虹
研究生(外文):Yi-Hong Shen
論文名稱:以幾何方法分析處於訊符間交互干擾通道上的有效決策回授等化器次佳接收機
論文名稱(外文):An Efficient DFE Suboptimal Receiver over ISI Channels: A Geometric Approach
指導教授:郝敏忠
指導教授(外文):MIIN-JONG HAO
學位類別:碩士
校院名稱:國立高雄第一科技大學
系所名稱:電腦與通訊工程所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:45
中文關鍵詞:決策回授等化器非線性規劃超平面
外文關鍵詞:hyperplaneDFEprogramming
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許多數位通道都會受訊符間交互的干擾 (ISI),在接收端,我們用等化器來降低訊符間交互干擾對傳輸所造成的影響。在本論文中我們利用數位通訊通道的幾何觀念,將通道看成由輸入序列空間到觀察空間的映射,並用幾何的方法來分析決策回授等化器 (DFE)的功能。在有限維度的幾何空間裡,決策回授等化器相當於一個超平面的決策元件。在最小化錯誤機率的情況下來決定決策回授等化器的濾波器可以等效成找一個最大化分離接收信號的超平面。而找一最佳化分離超平面的問題可以用二次式線性規劃的方式來求解,根據我們分析
的結果,具有超平面決策元件的決策回授等化器能夠有效的消除訊符間干擾的影響。


Many digital communication channels are subject to inter-symbol interference (ISI). At the receiver, the ISI must be compensated and the task of the equalizer is to combat the degrading effects of the ISI on the transmission links.
In this thesis, a geometric view of a digital communication channel is developed. The channel can be viewed as a mapping from the input sequence space to the observation space. We present a geometric interpretation of the concepts related to the decision feedback equalizer (DFE). The DFE is identical to the single hyperplane decision device in the finite dimensional Euclidean space. It is shown that the problem of determining a DFE filters to minimize the error probability of the receiver is equivalent to find a hyperplane that maximally separates the received sequence. The problem of finding the optimal separating hyperplane can be reduced to a quadratic programming problem. It follows from the results of our work that the DFE with hyperplane decision device can effectively eliminate the influences of ISI.


Contents
Abstract in Chinese…………………………………………………...………….….….i
Abstract in English……………………………………………………………...……...ii
Acknowledgment………………………………………………………………………iv
Contents………………………………………………………………….…………...…v
List of the Figures……………………………………………………………………..vii
Chapter 1 Introduction………………………………………………………………...1
Chapter 2 Basic principles………………………………..……………………………3
2.1 Decision feedback equalizer…………………………..…………………………4
2.1.1 Basic structure of DFE...…………………………………..………………4
2.1.2 Principle of DFE ………………………………………………….………5
2.2 Nonlinear programming………………………………………………….……..7
2.2.1 Problem statement and basic definition…………………………………..7
2.2.2 Quadratic programming…………………………………………………..8
2.2.3 Kuhn-Tucker conditions………………………………………………….9
2.2.4 The linear complementary Problem……………………………………..11
Chapter 3 System Model and Performance Analysis……………………………...17
3.1 A Discrete Time Model for a Channel with ISI……………………………….17
3.2 Vector space Representation of the System…………………………………...21
3.3 DFE with Hyperplanes Decision Device……………………...………………..23
3.4 Optimum Separating Hyperplane………………………………………...…….26
Chapter 4 Numerical and Simulation Result………………………………………..30
Chapter 5 Conclusions………………………………………………………………..33
References……………………………………………………………………………..35


Reference[1] John G. Proakis, Digital Communication, New York:McGraw-Hill, 2001, 4th edition.[2] Mokhtar S. Bazaraa, C. M. Shetty, Nonlinear Programming Theory and Algorithm, New York:John Wiley & Sons,1982.[3] J. Moon and L. R. carley, “Performance comparison of detection methods in magnetic recording,” IEEE trans. Magn., vol. 26, pp. 3152-3172, Nov. 1990.[4] J. G. Kenney, L. R. Carley, and R. W. Wood, “Multi-level decision feedback equalization for saturation recording,” IEEE trans. Magn., vol. 29, pp. 2160-2171, July. 1993.[5] K. Abend and B. D. Fritchman, “Statistical detection for communication channels with intersymbol interference,”Proc. IEEE, vol. 58, pp. 779-785, May. 1970.[6] N. Zervos, S. Pasupathy, and A. Venetsanopoulos, “Low complexity maximum likelihood equalizer,” in Proc. Int. Conf. Communications, May 1984,pp.1259-1262.[7] S. A. Altekar, A. E. Vityaev, and J. K. Wolf, “Decision Feedback Equalization via Separating Hyperplanes,” IEEE trans., vol.49, pp. 480-486, Mar 2001[8] T. J. Willink, P.H. Wittke, and L.L Campbell, “Evaluation of the effects intersymbol interference in decision-feedback equalizer,” Vol. 48Issue 7, pp. 629-636, April 2000

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