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2011-06-24
Oscillator Accurate Linear Analysis and Design. Classic Linear Methods Review and Comments
By
Progress In Electromagnetics Research, Vol. 118, 89-116, 2011
Abstract
This paper is a deep analysis of oscillator plane reference design methods. It defines applicable conditions and the expected accuracy that can be archived with these methods. Some examples will be shown to illustrate wrong solutions that the use of linear reference plane methods can produce. The wrong solutions will be justified by necessary conditions for proper use of these methods. The strengths and weaknesses of the, widely used, plane reference methods are described in this paper. Several classic topologies of microwave oscillators, as Grounded Collector Tuned Bases (GCTB) and Grounded Bases Tuned Oscillator (GBTO), are used to illustrate these results and the additional required conditions.
Citation
Vicente Gonzalez-Posadas, Jose Luis Jiménez-Martín, Ángel Parra-Cerrada, Daniel Segovia-Vargas, and Luis Enrique Garcia-Munoz, "Oscillator Accurate Linear Analysis and Design. Classic Linear Methods Review and Comments," Progress In Electromagnetics Research, Vol. 118, 89-116, 2011.
doi:10.2528/PIER11041403
References

1. Jiang, T., S. Qiao, Z. G. Shi, L. Peng, J. Huangfu, W. Z. Cui, W. Ma, and L.-X. Ran, "Simulation and experimental evaluation of the radar signal performance of chaotic signals generated from a microwave colpitts oscillator," Progress In Electromagnetics Research, Vol. 90, 15-30, 2009.
doi:10.2528/PIER08120104

2. Esdale, D. J. and M. J. Howes, "A reflection coefficient approach to the design of one port negative impedance oscillators," IEEE Transactions on Mic. Theory and Techniques, Vol. 29, No. 8, 770-776, 1981.
doi:10.1109/TMTT.1981.1130445

3. Alechno, S., "Analysis method characterizes microwave oscillators," Microwaves RF, Vol. 36, No. 11, 82-86, 1997.

4. Alechno, S., "The virtual ground in oscillator designa practical example," Applied Microwave & Wireless, Vol. 39, No. 7, 44-53, 1999.

5. Alechno, S., "Advancing the analysis of microwave oscillators," Microwaves RF, Vol. 39, No. 6, 55-67, 2000.

6. Rhea, R. W., Discrete Oscillator Design: Linear, Nonlinear, Transient, and Noise Domains, Artech House Publishers, 2010.

7. Chen, D. and B. Sun, "Multi-wavelength fiber optical parametric oscillator based on a highly nonlinear fiber and a sagnac loop filter," Progress In Electromagnetics Research, Vol. 106, 163-176, 2010.
doi:10.2528/PIER10061506

8. Shi, Z. G., S. Qiao, K. S. Chen, W.-Z. Cui, W. Ma, T. Jiang, and L.-X. Ran, "Ambiguity functions of direct chaotic radar employing microwave chaotic colpitts oscillator," Progress In Electromagnetics Research, Vol. 77, 1-14, 2007.
doi:10.2528/PIER07072001

9. Vahdati, H. and A. Abdipour, "Nonlinear stability analysis of an oscillator with distributed element resonator," Progress In Electromagnetics Research, Vol. 80, 241-252, 2008.
doi:10.2528/PIER07111701

10. Vahdati, H. and A. Abdipour, "Nonlinear stability analysis of microwave oscillators using the periodic averaging method," Progress In Electromagnetics Research, Vol. 79, 179-193, 2008.
doi:10.2528/PIER07100101

11. Suarez, A. and S. Quere, Stability Analysis of Nonlinear Microwave Circuits, Artech House, 2003.

12. Vendelin, G., A. M. Pavio, and U. L. Rohde, Microwave Circuit Design Using Linear and Nonlinear Techniques, John Wiley & Sons, 1990.

13. Khanna, A. P. and J. Obregon, "Microwave oscillator analysis," IEEE Transactions on Mic. Theory and Techniques, Vol. 29, No. 6, 606-607, 1981.
doi:10.1109/TMTT.1981.1130401

14. Randall, M. and M. J. Hock, "General oscillator characterization using linear open-loop S-parameters," IEEE Transactions on Microwave Theory and Techniques, Vol. 49, No. 6, 1094-1100, 2001.
doi:10.1109/22.925496

15. Kurokawa, K. K., "Some basic characteristics of broadband negative resistance oscillator circuits," Bell Systm. Tech. J., Vol. 48, No. 6, 1937-1955, 1969.

16. Basawapatna, G. R. and R. B. Stancliff, "A unified approach to the design of wide-band microwave solid state oscillators," IEEE Transactions on Mic. Theory and Techniques, Vol. 27, No. 5, 379-385, 1979.
doi:10.1109/TMTT.1979.1129636

17. Jackson, R. W, "Criteria for the onset of oscillation in microwave circuits," IEEE Transactions on Mic. Theory and Techniques, Vol. 40, No. 3, 566-569, 1992.
doi:10.1109/22.121734

18. Rhea, R. W., "A new class of oscillators," IEEE Microwave Magazine, Vol. 2, No. 2, 72-83, 2004.
doi:10.1109/MMW.2004.1306839

19. Rohde, U. L., C. R. Chang, and J. W. Gerber, "Design and optimization of low-noise oscillators using nonlinear CAD tools," IEEE Frequency Control Symp. Proc., 548-554, 1994.

20. Rohde, U. L., Microwave and Wireless Synthesizers: Theory and Design, John Wiley & Sons, 1997.
doi:10.1002/0471224316

21. Jackson, R. W., "Rollett proviso in the stability of linear microwave circuits-a tutorial," IEEE Transactions on Mic. Theory and Techniques, Vol. 54, No. 3, 993-1000, 2006.
doi:10.1109/TMTT.2006.869719

22. Ohtomo, M., "Proviso on the unconditional stability criteria for linear two port," IEEE Trans. Microwave Theory Tech., Vol. 43, No. 5, 1197-1200, 1995.
doi:10.1109/22.382086

23. Platzker, A. and W. Struble, "Rigorous determination of the stability of linear N-node circuits from network determinants and the appropriate role of the stability factor K of their reduced two-ports," Rd Int. Integr. Nonlinear Microw. Millimeterwave Circuits Workshop, 93-107, 1994.
doi:10.1109/INMMC.1994.512515

24. Platzker, A., W. Struble, and K. Hetzler, "Instabilities diagnosis and the role of K in microwave circuits," IEEE MTT-S IN. Microwave Symposium Digest, 185-188, 1993.

25. Bode, H. W., Network Analysis and Feedback Amplifier Design, D. Van Nostrand Co. Inc., 1945.

26. Ohtomo, M., "Stability analysis and numerical simulation of multidevice amplifiers," IEEE Transactions on Mic. Theory and Techniques, Vol. 41, No. 6/7, 983-991, 1993.
doi:10.1109/22.238513