高速傳輸連結網路的分析和模擬

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姓名

葉尚府(Son-Fu Yeh) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

高速傳輸連結網路的分析和模擬
(Analysis and Simulation of High-Speed Interconnects Using Moment-Matching Technique)

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摘要(中)

在本論文中，我們首先簡短討論影響高速傳輸訊號的一些雜散效應如振盪、訊號延遲、失真、反射及串音干擾，並且介紹一些EDA 軟體如Ansoft Q3D Extractor、Hspice，提出一套分析方法，將封裝架 (package)做更細微的切割，並使用適當的傳輸線模型 (Transmission Line model)來做模擬，使其適用於探討封裝架構對高速數位訊號的影響。
其次，「參數匹配法」(moment matching technique)被使用來加快模擬的速度.但在「參數匹配法」中，會因為傳輸線的長度而產生一些準確度的問題。本論文針對「參數匹配法」提供一個新的傳輸線模型來縮短整個估算法執行的過程，除此之外，我們也利用了數學的證明來驗證新的傳輸線模型確實能解決準確度的問題。我們分別以0.3m和0.5m的單條傳輸線為例。在0.3m的例子中，若RMS error要求為小於0.0046V，新的傳輸線模型只需6個極點和1個頻率展開點，而舊的傳輸線模型需要11個及點和11個頻率展開點。若以相同的極點數來看(6個) ，舊的傳輸線模型的RMS error為0.0165V，新的傳輸線模型的RMS error為0.0042V。在0.5m的例子中，若RMS error要求為小於0.0027V，新的傳輸線模型只需5個極點和1個頻率展開點，而舊的傳輸線模型需要19個及點和17個頻率展開點。若以相同的極點數來看(5個) ，舊的傳輸線模型的RMS error為0.0371V，新的傳輸線模型的RMS error為0.0027V

摘要(英)

In this thesis, we first introduce some electrical design automation (EDA) tool such as Ansoft Q3D Extractor and propose a new analytic method, which divide the package into small component and use W-element distributed model for the simulation. This method is suitable to explore the influence of package on high-speed digital signal.
Second, moment matching technique (MMT) is used to improve the simulation efficiency. But there are some problems in MMT. When the length of lossy transmission line increases, the accuracy will deteriorate. In this thesis, we propose a new distributed transmission line model for MMT to shorten the complicated process. Besides, we also prove it in mathematics. For the case with 0.3m transmission line, to a demand on RMS error of less than 0.0046V, one method (modified MMT) needs only 6 poles and 1 hop while the original MMT requires 11 poles and 11 hops. For the same number poles (6 poles), the error of MMT is 0.0165V and modified MMT is 0.0042V. For the case with 0.5m transmission line, to a demand on RMS error of less than 0.0027V, one method (modified MMT) needs only 5 poles and 1 hop while the original MMT requires 19 poles and 17 hops. For the same number poles (5 poles), the error of MMT is 0.0371V and modified MMT is 0.0027V.

關鍵字(中)

★ 傳輸線
★ 信號完整性

關鍵字(英)

★ signal integrity
★ transmission line

論文目次

Contents
Contents ……………………. ii
List of Tables …… iv
List of Figures …… v
Chapter 1 Introduction 1
1.1. Motivation 1
1.2. The Definition of High-Speed 3
1.3. Thesis Organization 4
Chapter 2 The Analysis Methodology for High-Speed System 5
2.1. High-Speed Interconnect Effects 6
2.1.1. Attenuation 6
2.1.2. Propagation Delay 6
2.1.3. Reflection 7
2.1.4. Crosstalk 9
2.2. EM Simulator and Transmission Line Model 11
2.2.1. Maxwell Q3D Extractor 11
2.2.2. Transmission Line model 12
2.3. High-Speed System Analysis 13
2.3.1. W-element 13
2.3.2. Partition technology 14
2.3.3. Simulation technology 16
2.3.4. Accuracy 18
Chapter 3 Asymptotic Waveform Evaluation 25
3.1. Moment-Matching Technique Flow 26
3.2. Modified Nodal Analysis Matrix (MNA) 28
3.3. Computation of Moments 32
3.4. Padé Approximation 35
3.5. Limitations of Single Expansion MMT Algorithms 37
3.6. Complex Frequency Hopping 38
3.7. Interface to Circuit Simulators 40
3.8. Experimental Results and Comparisons 41
Chapter 4 Modified Moment Matching Technique 49
4.1. The Pole Number and Propagation Delay 50
4.2. Modified Moment Matching Technique 57
4.3. Mathematical Proof 61
4.4. Simulation Result and Comparison 64
Chapter 5 Conclusion 75
Appendix ………… 76
Bibliography ….. 78

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指導教授

蘇朝琴、劉建男
(Chau-Chin Su、Chien-Nan Liu)

審核日期

2003-7-1

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