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研究生:鄭端儀
研究生(外文):Tuan-Yi Cheng
論文名稱:使用二埠向量網路分析儀及未知終端器量測多埠散射矩陣
論文名稱(外文):Multi-port network scattering matrix measurement using two-port vector network analyzer and unknown terminators
指導教授:盧信嘉
指導教授(外文):Hsin-Chia Lu
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:電子工程學研究所
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:2007
畢業學年度:95
語文別:英文
論文頁數:90
中文關鍵詞:S-參數量測向量網路分析儀多埠散射矩陣
外文關鍵詞:scattering matrix measurementvector network analyzerMulti-port network scattering matrix
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傳統上,使用二埠向量網路分析儀來量測多埠散射矩陣時,必需先知道終端器的值。在[16]中,提出一個不需要知道終端器之值的前提下,可以利用二埠的向量網路分析儀求出三埠網路的散射矩陣。在[17]中,提出由三埠以上的網路分析儀配合已知反射量終端器,可求出多埠網路的散射矩陣。本論文結合[16]及[17]二篇的成果,發展出在未知終端器下,多埠網路可由二埠向量網路分析儀求出的方法。以FR4製作的分支偶合器來驗證本實驗所提出的方法,可發現散射矩陣的計算值和量測值相當的符合。
Conventionally, we have to know the value of at least one terminator in advance when measuring multi-port network by using two-port vector network analyzer. [16] proposed the algorithm for three-port to two-port port reduction method with unknown terminators. [17] proposed the algorithm which can reconstruct the multi-port network with known terminator from three-port or more port scattering matrices. This work adopt the main idea of these two works and implement with Matlab program. The measured scattering matrices of a branch line coupler on FR4 substrate using proposed port reduction method shows good agreement with measurement by multi-port VNA.
摘 要 i
Abstract ii
List of Tables vi
Chapter 1 Introduction - 1 -
1.1 Overview on scattering parameters - 1 -
1.2 The reason to measuring multi-port network by a two-port VNA - 5 -
1.3 General Theories - 7 -
1.3.1 Brief introduction of port reduction method (PRM) - 7 -
1.3.2 Brief introduction for calibration - 10 -
1.4 The motivation of measuring multi-ports with two-port VNA and unknown terminators - 14 -
1.5 Thesis organization - 16 -
Chapter 2 Literatur Review - 17 -
2.1. Introduction - 17 -
2.2. Scattering parameter renormalization transformation - 20 -
2.3. PRM with only one known terminators - 21 -
2.4. The generalized Gamma-R parameters - 26 -
2.4.1. Derivation of the Generalized Gamma-R Parameters - 26 -
Chapter 3 Formulations - 30 -
3.1 3-port measurement method with unknown terminators - 31 -
3.1.1 Introduction - 31 -
3.1.2 Algorithm - 31 -
3.2 Algorithm extended to 4-port and a larger number of ports - 35 -
3.2.1 The diagonal elements of the matrix S - 36 -
3.2.2 The off-diagonal elements of the matrix S - 38 -
3.3 Integration of previous two algorithms - 39 -
3.4 Verification process - 41 -
3.4.1 Phase I - 41 -
3.4.2 Phase II - 43 -
3.5 Simulation results - 45 -
3.5.1 3-port DUT - 45 -
3.5.2 3-port DUT simulation results - 46 -
3.5.3 4-port DUT - 52 -
3.5.4 4-port DUT simulation results - 54 -
Chapter 4 Measurement Procedures and Experimental Results - 63 -
4.1 Measurement arrangement - 63 -
4.2 Measurement procedures - 64 -
4.3 Experimental results - 66 -
Chapter 5 Conclusion - 87 -
References - 88 -
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[5]D. Woods, “ Multiport Network Analysis by Matrix Renormafization: Extension to 5- and 6-ports; Proc. Inst. Eiec. Eng., vol. 125, p. 1217, Nov. 1978.
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[7]I. Rolfes and B. Schiek, “An Efficient Method for the Measurement of the Scattering Parameters of Multi-Ports with a Two-Port Network Analyzer,” 34th Eurpean Microwave Conf. Dig., vol. 2, pp. 797-800, 2004.
[8]D. C. Youla, “On Scattering Matrices Normalized to Complex Port Numbers,” Proc. IRE, vol. 49, p.1221, July 1961.
[9]D. C. Youla, “An Extension of the Concept of Scattering Matrix,” IEEE Trans. Circuit Theory, vol. CT-11, pp.310-312, June 1964.
[10]R. A. Rohrer, “The Scattering Matrix: Normalized to Complex n-port Load Networks,” IEEE Trans. Circuit Theory, vol. CT-12, pp.223-230, June 1965.
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[12]W. R. Wolers, “On Scattering Matrices Normalized to Active n-ports at Real Frequencies,” IEEE Trans. Circuit Theory, vol. CT-16, pp. 254-256, May 1969.
[13]D. Woods, “General Renormalization Transforms for 3-port S-parameters,” Electron. Lett., vol. 6, pp823-825, Dec. 10, 1970.
[14]D. Woods, “Multiport-network Analysis by Matrix Renormalization Employing Voltage-wave S-parameters with Complex Normalization,” Proc. Inst. Elec. Eng., vol. 124, pp. 198-204, Mar. 1977.
[15]J.C. Rautio, “Techniques for correcting Scattering Parameter Data of an Imperfectly Terminated Multiport When Measured with a Two-Port Network Analyzer” IEEE Trans. Microwave Theory and Techniques, vol. 83, no 5, pp.407-412, 1983
[16]F. Lenk, R. Doerner, “A New Multiport Measurement-Method Using a Two-Port Network Analyzer” Microwave Symposium Digest, pp.1666-1669, June 2005.
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[18]H.C. Lu, T. H. Chu, “Port Reduction Methods for Scattering Matrix Measurement of an N-port Network,” IEEE Trans. Microwave Theory Tech., vol. 48, pp. 959-968, Apr. 2000.
[19]W. Lin and C. Ruan, “Measurement and Calibration of a Universal Six-Port Network Analyzer,” IEEE Trans. Microwave Theory Tech., vol. 37, pp. 734-742, Apr. 1989.
[20]Doug Rytting, “Network Analyzer Error Models and Calibration Methods,” 54th ARFTG Conference short notes, December 2000.
[21]John Edward Daniel, “Development of Enhanced Multiport Network Analyzer Calibrations Using Non-ideal Standards” A doctoral thesis submitted in Electrical Engineering Department of Electrical Engineering College of Engineering University of South Florida, 2005.
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[26]A. Ferrero and F. Sanpiertro, “A Simplified Algorithm for Leaky Network Analyzer Calibration,” IEEE Microwave Guided Wave Lett., vol. 5, pp. 119-121, Apr. 1995.
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