The N extra element theorem

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 9, 1998, Pages 919-935

  David Middlebrook, R ^a,b   Vorpérian, Vatché ^a,b   Lindal, John ^a,b  

^a California Institute of Technology   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLES AND ZEROS; POLYNOMIALS; TRANSFER FUNCTIONS;

CORRECTION FACTOR; N EXTRA ELEMENT THEOREM;

LINEAR SYSTEMS;

EID: 0032154946     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.721258     Document Type: Article

References (17)

1. R. D. Middlebrook, "Low-entropy expressions: The key to design-oriented analysis," in Proc. IEEE Frontiers Educ., 21st Annu. Conf., Purdue Univ., IN, Sept. 21-24, 1991, pp. 399-403.
2. _, "Null double injection and the extra element theorem," IEEE Trans. Education, vol. 32, pp. 167-180, Aug. 1989.
3. _, "The two extra element theorem," in Proc. IEEE Frontiers Educ., 21st Annu. Conf., Purdue Univ., Sept. 21-24, pp. 702-708.
4. H. W. Bode, Network Analysis and Feedback Amplifier Design. Princeton, NJ: Van Nostrand, p. 10, 1945.
5. J. H. Mulligan Jr., "Signal transmission in nonreciprocal systems," in Symp. Active Networks Feedback Syst., Polytechnic Inst. Brooklyn, NY, Apr. 19-21, 1960 pp. 125-153.
6. S. R. Parker, E. Peskin, and P. M. Chirlian, "Application of a Bilinear theorem to network sensitivity," IEEE Trans. Circuit Theory, pp. 448-450, Sept. 1955.
7. E. V. Sørensen, "General relations governing the exact sensitivity of linear networks," in Proc. Inst. Elect. Eng., vol. 114, no. 9, pp. 1209-1212, Sept. 1967.
8. B. L. Cochrun and A. Grabel, "A method for the determination of the transfer function of electronic circuits," IEEE Trans. Circuit Theory, vol. CT-20, no. 1, pp. 16-20, Jan. 1973.
9. A. M. Davis, "Analyze active-network responses without complex manipulation," EDN, pp. 109-112, Feb. 1979.
10. J. Choma, "A generalized bandwidth estimation theory for feedback amplifiers," IEEE Trans. Circuits Syst., vol. CAS-31, pp. 861-865, Oct. 1984.
11. K. S. Yeung, "An open- and short-circuit technique for analyzing electronic circuits," IEEE Trans. Education, vol. E-30, pp. 55-56, Feb. 1987.
12. R. A. Rohrer, "Circuit partitioning simplified," IEEE Trans. Circuits Syst., vol. 35, no. 1, pp. 2-5, Jan. 1988 (the first "CAS Exposition" paper).
13. J. Choma, "Signal flow analysis of feedback networks," IEEE Trans. Circuits Syst., vol. 37, pp. 455-463, Apr. 1990.
14. _, in The Circuits and Filters Handbook, Wai-Kai Chen, Ed. New York: IEEE Press, 1995.
15. R. B. Blackman, "Effect of feedback on impedance," Bell Syst. Tech. J., vol. 22, pp. 268-277, Oct. 1943.
16. V. Vorpérian, "Improved circuit-analysis techniques require minimum algebra," EDN, vol. 40, no. 16, pp. 125-134, Aug. 3, 1995.
17. A. Abid, "A direct proof of the additional element theorem," IEEE Trans. Circuits Syst. I, vol. 43, pp. 681-683, Aug. 1996.