Numerical Noise Analysis for Nonlinear Circuits with a Periodic Large Signal Excitation Including Cyclostationary Noise Sources

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

Volumn 40, Issue 9, 1993, Pages 581-590

  Okumura, Makiko ^a   Tanimoto, Hiroshi ^a   Itakura, Tetsuro ^a   Sugawara, Tsutomu ^a  

^a TOSHIBA CORPORATION   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL ANALYSIS; RANDOM PROCESSES; SHOT NOISE; SPURIOUS SIGNAL NOISE; SWITCHING CIRCUITS; THERMAL NOISE; TIME VARYING NETWORKS; TRANSFER FUNCTIONS;

CYCLOSTATIONARY NOISE; NUMERICAL NOISE ANALYSIS; PERIODIC LARGE SIGNAL EXCITATION;

NONLINEAR NETWORKS;

EID: 0027668014     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.244907     Document Type: Article

References (34)

1. L. O. Chua and A. Ushida, “Algorithm for computing almost periodic steady state response of nonlinear systems to multiple input frequencies,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 953–971, Oct. 1981.
2. A. Ushida and L. O. Chua, “Frequency domain analysis of nonlinear circuits driven by multi-tone signals,” IEEE Trans. Circuits Syst., vol. CAS-31, pp. 766–779, Sept. 1984.
3. A. Ushida, L. O. Chua, and T. Sugawara, “A substitution algorithm for solving nonlinear circuits with multi-frequency components,” Int. J. Circuit Thoery Appl., vol. 15, pp. 327–355, 1987.
4. A. Ushida, L. O. Chua, “Steady-state response of non-linear circuit: A frequency-domain relaxation method,” Int. J. Circuit Theory Appl., vol. 17, pp. 249–269, July 1989.
5. K. Kundert, J. White, and A. Sangiovanni-Vincentelli, “A mixed frequency-time approach for distortion analysis of switching filter circuits,” IEEEJ. Solid-State Circuits, vol. SC-24, no. 2, pp. 443–451, April 1989.
6. T. J. Aprille, Jr., and T. N. Trick, “Steady-state analysis of nonlinear circuits with periodic inputs,” Proc. IEEE, vol. 60, pp. 108–114, Jan. 1972.
7. M. Kakizaki and T. Sugawara, “A modified Newton method for the steady-state analysis,” IEEE Trans. Computer-Aided Design, vol. CAD-4, no. 4, pp. 662–667, Oct. 1985.
8. K. S. Kundert and A. Sangiovanni-Vincentelli, “Simulation of nonlinear circuits in the frequency domain” IEEE Trans. Computer-Aided Design, vol. CAD-5, pp. 521–535, Oct. 1986.
9. V. Rizzoli, C. Cecchetti, and A. Lipparini, “Frequency conversion in general nonlinear multiport devices,” IEEE MTT-S Int., pp. 483–486, June 1986.
10. M. Kakizaki and T. Sugawara, “An efficient numerical analysis method for small signal frequency response from periodically operating circuits,” Proc. ISCAS, pp. 579–582, 1985.
11. W. A. Gardner, Introduction to Random Processes, 2nd ed. New York: McGraw-Hill, 1989, chap. 12.
12. B. Furrer and W. Guggenbuhl, “Noise analysis of sampled-data circuits,” Proc. IEEE ISCAS, pp. 860–863, 1981.
13. C.-A. Gobet and A. Knob, “Noise analysis of switched capacitor network,” Proc. IEEE ISCAS, pp. 856–859, 1981.
14. M. L. Liou and Y.-L. Kuo, “Exact analysis of switched capacitor circuits with arbitrary inputs,” IEEE Trans. Circuits Syst., vol. CAS-26, no. 4, pp. 213–223, Apr. 1979.
15. J. H. Fischer, “Noise sources and calculation techniques for switched capacitor filters,” IEEE J. Solid-State Circuits, vol. SC-17, pp. 742–752, Aug. 1982.
16. J. Rabaey, J. Vandewalle, and H. De Man, “A general and efficient noise analysis technique for switched capacitor filters,” Proc. IEEE ISCAS, pp. 570–573, 1983.
17. J. Goette and C.-A. Gobet, “Exact noise analysis of SC circuits and an approximate computer implementation,” IEEE Trans. Circuits Syst., vol. 36, no. 4, pp. 508–521, Apr. 1989.
18. L. Toth and K. Suyama, “Exact noise analysis of ‘ideal’ SC networks,” Proc. IEEE ISCAS, pp. 1585 1588, 1991.
19. M. Okumura, H. Tanimoto, and T. Sugawara, “Noise analysis algorithm for periodic time-varying circuits,” Proc. IEEE ISCAS, pp. 2173–2176, 1990.
20. M. Okumura, T. Sugawara, and H. Tanimoto, “Noise analysis method for nonlinear circuits with two frequency excitations using the computer,” Trans. IEICE Japan, vol. J73-A, No. 8, pp. 1342–1349, Aug. 1990 (in Japanese). Also, see Electronics and Communications in Japan, Part 3, vol. 74, no. 4, pp. 41–50, 1991.
21. L. A. Zadeh, “Frequency analysis of variable networks,” Proc. IRE, vol. 32, pp. 291–299, 1950.
22. M. Okumura, T. Sugawara, and H. Tanimoto, “An efficient small signal frequency analysis method for nonlinear circuits with two frequency excitations,” IEEE Trans. Computer-Aided Design, vol. CAD-9, no. 3, 225–235, March 1990.
23. L. W. Nagel, “SPICE2: A computer program to simulate semiconductor circuits,” Memo. No. ERL-M520, Univ. of California, Berkeley, 1975.
24. L. A. Zadeh and C. A. Desoer, Linear System Theory. New York: McGraw-Hill, 1963, chap. 6.
25. L. O. Chua and P. M. Lin, Computer-Aided Analysis of Electronic Circuits. Englewood Cliffs, NJ: Prentice-Hall, Inc., 1975, chap. 12.
26. D. Middleton, An Introduction to Statistical Communication Theory. New York: McGraw-Hill, 1960, chap. 11.
27. A. Papoulis, Probability, Random Variables, and Stochastic Processes, 2nd ed. New York: McGraw-Hill, 1984, chap. 9.
28. H. Ogura, “Spectral representation of a periodic nonstationary random process,” IEEE Trans. Inform. Theory, vol. IT-17, no. 2, pp. 143–149, March 1971.
29. W. A. Gardner and L. E. Franks, “Characterization of cyclostationary random signal processes,” IEEE Trans. Inform. Theory, vol. IT-21, no. 1, pp. 4–14, Jan. 1975.
30. R. A. Boyles and W. A. Gardner, “Cycloergodic properties of discrete-parameter nonstationary stochastic processes,” IEEE Trans. Inform. Theory, vol. IT-29, no. 1, pp. 105–114, Jan. 1983.
31. W. A. Gardner, “Rice’s representation for cyclostationary processes,” IEEE Trans. Commun., vol. COM-35, no. 1, pp. 74–78, Jan. 1987.
32. S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J., vol. 23, sec. 1.7, July 1944.
33. M. S. Keshner, “1/ f noise”, Proc. IEEE, vol. 70, no. 3, pp. 212–218, March 1982.
34. J. Vlach and K. Singhal, Computer Methods for Circuit Analysis and Design. New York: Van Nostrand Reinhold, 1983, pp. 171–207.