Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-27T04:32:27.550Z Has data issue: false hasContentIssue false
  • English
  • Français

Criteria for the evaluation of linear two-port stability using two geometrically derived parameters

Published online by Cambridge University Press:  19 March 2009

Chinchun Meng ,
Hung-Ju Wei  and
Po-Hsing Sun
Chinchun Meng*
Affiliation:
Department of Communication Engineering, National Chiao-Tung University (NCTU), Hsinchu, Taiwan, R.O.C. Phone: +886-3-5712121-54606; Email: onionpie.cm94g@nctu.edu.tw
Hung-Ju Wei
Affiliation:
Department of Communication Engineering, National Chiao-Tung University (NCTU), Hsinchu, Taiwan, R.O.C. Phone: +886-3-5712121-54606; Email: onionpie.cm94g@nctu.edu.tw
Po-Hsing Sun
Affiliation:
Department of Electrical Engineering, National Chung-Hsing University, Taichung, Taiwan, R.O.C
*
ccmeng@mail.nctu.edu.tw
Get access Rights & Permissions [Opens in a new window]

Abstract

Two geometrically derived stability parameters, µ′ (or µ) and ν′(or ν), are used to analyze the stability of a two-port network. The magnitudes of both µ′ (or µ) and ν′ (or ν) parameters determine geometrical relations between the stability circle and the unit Smith chart in the ΓS (or ΓL) plane. |µ′| (or |µ|) is defined as the minimum distance from the stability circle to the origin of the unit Smith chart in the ΓS (or ΓL) plane, while |ν′|(or |ν|) is defined as the maximum distance. Moreover, the signs of ν′ (or ν) and µ′ (or µ) parameters determine which region of the stability circle is stable (inside or outside) and whether the stable region includes the origin of the Smith chart, respectively. There are totally 12 situations between the stability circle and the unit Smith chart in the ΓS (or ΓL) plane by using µ′ (or µ) and ν′ (or ν) parameters. This paper classifies 12 situations in the ΓS plane and also presents the corresponding practical two-port networks.

Keywords

Stability criteriaS parametersLinear circuitTwo-port network
Type
Original Article
Information
International Journal of Microwave and Wireless Technologies , Volume 1 , Issue 1 , February 2009 , pp. 65 - 72
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Woods, D.: Reappraisal of the unconditional stability criteria for active 2-port networks in terms of S parameters. IEEE Trans. Circuist Syst., CAS-23 (1976), 73–81.CrossRefGoogle Scholar
[2]FuKui, H.: Available power gain, noise figure, and noise measure of two-ports and their graphical representation. IEEE Trans. Circuit Theory Tech., CT-13-2 (1966), 137–142.CrossRefGoogle Scholar
[3]Meys, R. P.: Review and discussion of stability criteria for linear 2-port. IEEE Trans. Circuit Syst., 37 (1990), 1450–1452.CrossRefGoogle Scholar
[4]Rollett, J. M.: Stability and power-gain invariants of linear two-port. IRE Trans. Circuit Theory., CT-9 (1962), 29–32.CrossRefGoogle Scholar
[5]Edwards, M. L.; Sinsky, J. H.: A new criterion for linear 2-port stability using a single geometrically derived parameter. IEEE Trans. Microwave Theory Tech., 40 (1992), 2303–2311.CrossRefGoogle Scholar
[6]Gonzalez, G.: Microwave Transistor Amplifiers: Analysis, and Design. Prentice Hall, Englewood Cliffs; NJ, 1997.Google Scholar
[7]Edwards, M. L.; Cheng, S.; Sinsky, J. H.: A deterministic approach for designing conditionally stable amplifiers. IEEE Trans. Microwave Theory and Tech., 43 (1995), 1567–1575.CrossRefGoogle Scholar
[8]Edwards, M. L.; Cheng, S.: Conditionally stable amplifier design using constant-contours. IEEE Trans. Microwave Theory Tech., 44 (1996), 2634–2640.CrossRefGoogle Scholar
[9]Edwards, M. L.; Roddewig, R.; Cheng, S.: A low-cost amplifier design technique for wireless applications. in IEEE Microwave Theory Tech. Int. Topical Symp. on Technol. for Wireless Applicat. Dig., 1997, 83–86.Google Scholar
[10]Vendelin, G. D.; Pavio, A. M.; Rohde, U. L.: Microwave Circuit Design: Using Linear and Nonlinear Techniques. John Wiley and Sons, New York, 1990.Google Scholar