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Student Number 90521060 Author Son-Fu Yeh(¸©|©²) Author's Email Address s0521060@cc.ncu.edu.tw Statistics This thesis had been viewed 2378 times. Download 2041 times. Department Electrical Engineering Year 2002 Semester 2 Degree Master Type of Document Master's Thesis Language English Title Analysis and Simulation of High-Speed Interconnects Using Moment-Matching Technique Date of Defense 2003-06-16 Page Count 91 Keyword signal integrity transmission line Abstract 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.Table of Content Contents

Contents ¡K¡K¡K¡K¡K¡K¡K¡K.ii

List of Tables ¡K¡Kiv

List of Figures ¡K¡Kv

Chapter 1Introduction 1

1.1.Motivation1

1.2.The Definition of High-Speed3

1.3.Thesis Organization4

Chapter 2 The Analysis Methodology for High-Speed System5

2.1.High-Speed Interconnect Effects6

2.1.1.Attenuation6

2.1.2.Propagation Delay6

2.1.3.Reflection7

2.1.4.Crosstalk9

2.2.EM Simulator and Transmission Line Model11

2.2.1.Maxwell Q3D Extractor11

2.2.2.Transmission Line model12

2.3.High-Speed System Analysis13

2.3.1.W-element13

2.3.2.Partition technology14

2.3.3.Simulation technology16

2.3.4.Accuracy18

Chapter 3 Asymptotic Waveform Evaluation25

3.1.Moment-Matching Technique Flow26

3.2.Modified Nodal Analysis Matrix (MNA)28

3.3.Computation of Moments32

3.4.Padé Approximation35

3.5.Limitations of Single Expansion MMT Algorithms37

3.6.Complex Frequency Hopping38

3.7.Interface to Circuit Simulators40

3.8.Experimental Results and Comparisons41

Chapter 4Modified Moment Matching Technique49

4.1.The Pole Number and Propagation Delay50

4.2.Modified Moment Matching Technique57

4.3.Mathematical Proof61

4.4.Simulation Result and Comparison64

Chapter 5 Conclusion75

Appendix ¡K¡K¡K¡K76

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Chau-Chin Su(Ä¬´Âµ^)

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