ENSC 895 / ENSC 460 SPECIAL TOPIC: THEORY, ANALYSIS, AND SIMULATION OF NONLINEAR CIRCUITS

Fall 2007
ENSC 895 / ENSC 460: SPECIAL TOPICS: THEORY, ANALYSIS, AND SIMULATION OF NONLINEAR CIRCUITS

FOLDER CONTENT:

GENERAL INFO

ENSC 895 /ENSC 460 Course info (WWW pages):
http://www.ensc.sfu.ca/people/faculty/ljilja/ENSC895

LECTURE NOTES AND READING MATERIAL:

Lecture #1

Lecture notes: Introduction to nonlinear circuit analysis

A. N. Willson, Jr., ``Introduction,'' Nonlinear Networks. New York: IEEE Press, 1975, pp. 1-5.

A. N. Willson, Jr., ``Some aspects of the theory of nonlinear networks,'' Proc. IEEE, vol. 61, pp. 1092-1113, Aug. 1973.

Bibliography

Lj. Trajkovic and A. N. Willson, Jr., ``Theory of dc operating points of transistor networks,'' Int. J. of Electronics and Communications, vol. 46, no. 4, pp. 228-241, July 1992.

Lecture #2

Lecture notes

L. Weinberg, Network Analysis and Synthesis. Malabar, Florida: Krieger, 1962, pp. 269-280 and pp. 363-380.

Lecture #3

Lecture notes

B. Gopinath and D. Mitra, ``When are transistors passive?,'' Bell Syst. Tech. J., vol. 50, pp. 2835-2847, Oct. 1971.

Proof of Theorem 1 revisited

A. N. Willson, Jr., ``The no-gain property for networks containing three-terminal elements,'' IEEE Trans. Circuits Syst., vol. CAS-22, pp. 678-687, Aug. 1975.

Lecture #4

Lecture notes

Analysis of the circuit from Fig. 10, L. O. Chua, J. Yu, and Y. Yu, ``Negative resistance devices,'' Circuit Theory and Applications, vol. 11, pp. 161-186, July 1983.

Lecture #5

Lecture notes

Analysis of Orchard circuit

Analysis of the circuit from Fig. (e), Appendix 2, L. O. Chua, J. Yu, and Y. Yu, ``Negative resistance devices,'' Circuit Theory and Applications, vol. 11, pp. 161-186, July 1983.

Analysis of flip-flop

R. J. Duffin, ``Nonlinear Networks. IIa,'' Bulletin of the American Mathematical Society, vol. 53, pp. 963-971, Oct. 1947.

M. Fiedler and V. Ptak, ``Some generalization of positive definiteness and monotonicity,'' Numerische Mathematik 9, pp. 163-172, 1966.

Quiz #1 and solutions

Quiz #1 grading scheme and common mistakes

Lecture #6

Lecture notes

R. O. Nielsen and A. N. Willson, Jr., ``A fundamental result concerning the topology of transistor circuits with multiple equilibria,'' Proc. IEEE, vol. 68, pp. 196-208, Feb. 1980.

R. O. Nielsen and A. N. Willson, Jr., ``Topological criteria for establishing the uniqueness of solutions to the dc equations of transistor networks,'' IEEE Trans. Circuits Syst., vol. CAS-24, pp. 349-362, July 1977.

Lecture #7

Lecture notes

Schmitt trigger and Schmitt trigger revisited

A. N. Willson, Jr., ``A useful generalization of the Po matrix concept,'' Numerical Mathematics, vol. 17, pp. 62-70, 1971.

R. O. Nielsen and A. N. Willson, Jr., ``Existence of hybrid matrices for active n-ports encountered in the analysis of transistor networks,'' Int. J. Circuit Theory and Appl., vol. 7, pp. 65-76, Jan. 1979.

B. G. Lee and A. N. Willson, Jr., ``On a determinant expansion in the theory of two-transistor circuits,'' IEEE Transactions on Circuits and Systems, vol. 37, no. 6, pp. 864-866, June 1990.

Lj. Trajkovic, ``Homotopy methods for computing dc operating points,'' invited contribution to the Encyclopedia of Electrical and Electronics Engineering, J. G. Webster, Ed. New York: John Wiley & Sons, 1999, vol. 9, pp. 171-176.

Quiz #2 and solutions

Quiz #2 grading scheme

Lecture #8

Lecture notes

L. O. Chua, J. Yu, and Y. Yu, ``Negative resistance devices,'' Circuit Theory and Applications, vol. 11, pp. 161-186, July 1983.

L. O. Chua and A. C. Deng, ``Negative resistance devices II,'' Circuit Theory and Applications, vol. 12, pp. 337-373, Oct. 1984.

Lecture #9

Lecture notes

Analysis of the circuit from Fig. 9, L. O. Chua, J. Yu, and Y. Yu, ``Negative resistance devices,'' Circuit Theory and Applications, vol. 11, pp. 161-186, July 1983.

Lj. Trajkovic and A. N. Willson, Jr., ``Complementary two-transistor circuits and negative differential resistance,'' IEEE Trans. Circuits Syst., vol. 37, pp. 1258-1266, Oct. 1990.

Lj. Trajkovic and A. N. Willson, Jr., ``Behavior of nonlinear transistor one-ports: things are not always as simple as might be expected,'' Proc. 30th Midwest Symposium on Circuits and Systems, Syracuse, NY, Aug. 1987, pp. 1210-1213.

Lj. Trajkovic and A. N. Willson, Jr., ``A two-transistor circuit having no resistors cannot model an SCR,'' Proc. IEEE Int. Symp. Circuits and Systems, Philadelphia, PA, May 1987, pp. 888-891.

Lj. Trajkovic and A. N. Willson, Jr., ``Biasing of two-transistor circuits exhibiting negative differential resistance,'' Proc. 29th Midwest Symposium on Circuits and Systems, Lincoln, NE, Aug. 1986, pp. 158-162.

Orchard notes, March 31, 1980

Lecture #10

Lecture notes

Application of homotopy methods for solving equations describing nonlinear circuits

R. C. Melville, Lj. Trajkovic, S. C. Fang, and L. T. Watson, ``Artificial parameter homotopy methods for the dc operating point problem,'' IEEE Trans. on CAD, vol. 12, pp. 861-877, June 1993.

A. Dyess, E. Chan, H. Hofmann, W. Horia, and Lj. Trajkovic, ``Simple implementations of homotopy algorithms for finding dc solutions of nonlinear circuits,'' Proc. IEEE Int. Symp. Circuits and Systems, Orlando, FL, May 1999, vol. VI, pp. 290-293.

S. Smale, ``On the mathematical foundations of electrical circuit theory,'' J. Differential Geometry, vol. 7, pp. 183-210, 1972.

Last modified: Monday December 17 22:48:28 PST 2007.