用時域模擬法探討S參數及其應用

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姓名

吳忠儒(Chung-Ju Wu) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

用時域模擬法探討S參數及其應用
(Time-domain Numerical Simulation for Finding Scattering Parameters)

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摘要(中)

本論文研究以傳輸線及電路模型為架構之時域模擬器,來獲得待測系統之 S 參數(S parameters). 測試區段之連接埠以傳輸線等效模型連接, 主測試埠以一時域脈衝進行輸入, 並於其它連接埠傳輸線之末端匹配以等值之阻抗. 藉由模擬器之運算可以取得主測試埠之反射波型與其它各連接埠之穿透波型模擬值. 利用傅立葉轉換將各波型之模擬值由時域轉換至頻域可得到測試區段之頻率響應. 藉由此方法可以得到該測試區段之S 參數; 包含反射係數與穿透係數. 在此論文的後續章節中, 一些雙埠(two-port), 三埠(three-port )及四埠(four-port )的電路被用來驗證此方法之有效性與準確性.

摘要(英)

This thesis presents a time-domain numerical simulator of using transmission line and equivalent-circuit model to obtain scattering parameters of the test section. The ports of the test section are connected with transmission lines. A time-domain pulse is given into the input port for extracting the properties of the system with a matched load added at the terminal of each transmission line. With this simulator, the incident and reflected waveforms at the input port, and transmitted wave at the other ports can be achieved. A Fourier-transform approach is applied to transfer the input, reflected, and transmitted waveforms from the time domain into frequency domain to obtain the frequency responses. The S parameters and the characteristics of the system including reflection and transmission coefficients can be obtained. Examples of two-port, three-port, and four-port networks are investigated in this thesis to confirm the feasibility. The results obtained from the simulator are compared with results from some alternative approaches such as AC-analysis method and show precise accuracy of this methodology.

關鍵字(中)

★ 模擬
★ S參數
★ 時域

關鍵字(英)

★ Time domain
★ S parameter
★ simulation

論文目次

1. Introduction 1
2. Model Built-up and Setting for Simulation 4
2.1 Basic Transmission-line Theories 4
2.2 Time-scale and Space-scale Setting for Transmission-line Model 7
2.3 Traveling-wave Properties on Transmission Line 11
2.4 The Fourier-transform Theory 14
2.5 Case Studies for the Fourier Transform 16
2.6 Summary 20
3. S-parameter Study with Two-port Networks 21
3.1 The Properties of S Parameters 21
3.2 Z- to S-parameter Transformation for Two-port Network 24
3.3 S-parameter Extraction for an RC Circuit 27
3.4 S-parameter Extraction for an LC Circuit 31
3.5 Summary 35
4. S-Parameter Study with Three- and Four-port Networks 36
4.1 Three-port Application by Using Pulse-scattering Method 36
4.2 AC-analysis Method for Four-port S-parameter Extraction 40
4.3 Four-port LC Circuit Application with Pulse-scattering Method 43
4.4 Summary 48
5. Conclusion 49

參考文獻

[1] Guillermo Gonzalez, Ph. D., “Microwave Transistor Analysis and Design,” New Jersey, Prentice-HALL, 1984.
[2] David K. Cheng, “Field and Wave Electromagnetic, 2nd ed.,” Addison-Wesley, 1989.
[3] Hans W. Loeb, and Peter J. Ward, “The Use of Time-Domain Techniques for Microwave Transistor s-Parameter Measurements,” IEEE Transactions on Instrumentation and Measurement, vol. IM-26, No.4, pp.383, Dec. 1977.
[4] E. Oran Brigham, “The Fast Fourier Transform,” New Jersey, Prentice-HALL, 1974.
[5] William L. Gans, and Norris S. Nahman, “Continue and Discrete Fourier Transforms of Steplike Waveforms,” IEEE Transactions on Instrumentation and Measurement, vol. IM-31, No.2, pp. 97, June 1982.
[6] Matthew N. O. Sadiku, “Deficiencies in the Way Scattering Parameters Are Taught,” IEEE Transactions on Education, vol.46, No.3, pp.399, Aug. 2003.
[7] M. T. Chou, “A Novel Wideband Modeling Technology for Semiconductor Devices,” Ph. D. thesis, National Tsing Hua University, Taiwan R.O.C., June 2004.
[8] Brian Young, “Digital Signal Integrity Modeling and Simulation with Interconnects and Packages,” Prentice-HALL.
[9] R.G. Manton, “Hybrid networks and Their Uses in Radio-Frequency Circuits,” The Radio Electronic Engineering., vol45, no. 11/12, pp. 473~489, Nov./Dec. 1984.

指導教授

蔡曜聰(Yao-Tsung Tsai)

審核日期

2005-7-2

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