Asymptotic probability extraction for nonnormal performance distributions

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

Volumn 26, Issue 1, 2007, Pages 16-37

  Li, Xin ^a,b   Le, Jiayong ^a,b   Gopalakrishnan, Padmini ^a,b   Pileggi, Lawrence T ^a,b  

^a IEEE   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Circuit performance; Probability; Process variation; Response surface modeling

Indexed keywords

ASYMPTOTIC-PROBABILITY-EXTRACTION (APEX); CIRCUIT PERFORMANCES; PROCESS VARIATION; RESPONSE SURFACE MODELING;

ALGORITHMS; COMPUTER SIMULATION; CONTROL NONLINEARITIES; FUNCTION EVALUATION; POLYNOMIALS; PROBABILITY DISTRIBUTIONS;

INTEGRATED CIRCUIT MANUFACTURE;

EID: 33846193172     PISSN: 02780070     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCAD.2006.882593     Document Type: Article

References (23)

1. S. Nassif, "Modeling and analysis of manufacturing variations," in Proc. IEEE Custom Integr. Circuit Conf., 2001, pp. 223-228.
2. C. Michael and M. Ismail, "Statistical modeling of device mismatch for analog MOS integrated circuits," IEEE J. Solid-State Circuits, vol. 27, no. 2, pp. 154-166, Feb. 1992.
3. Z. Wang and S. Director, "An efficient yield optimization method using a two step linear approximation of circuit performance," in Proc. IEEE Eur. Des. and Test Conf., 1994, pp. 567-571.
4. A. Dharchoudhury and S. Kang, "Worse-case analysis and optimization of VLSI circuit performance," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 14, no. 4, pp. 481-492, Apr. 1995.
5. E. Felt, S. Zanella, C. Guardiani, and A. Sangiovanni-Vincentelli, "Hierarchical statistical characterization of mixed-signal circuits using behavioral modeling," in Proc. IEEE/ACM Int. Conf. Comput.-Aided Des., 1996, pp. 374-380.
6. J. Swidzinski, M. Styblinski, and G. Xu, "Statistical behavioral modeling of integrated circuits," in Proc. IEEE Int. Symp. Circuits and Syst., 1998, vol. 6, pp. 98-101.
7. A. Graupner, W. Schwarz, and R. Schüffny, "Statistical analysis of analog structures through variance calculation," IEEE Trans. Circuits Syst. I, Fundam Theory Appl., vol. 49, no. 8, pp. 1071-1078, Aug. 2002.
8. A. Papoulis and S. Pillai, Probability, Random Variables and Stochastic Processes. New York: McGraw-Hill, 2001.
9. G. Seber, Multivariate Observations. Hoboken, NJ: Wiley, 1984.
10. G. Golub and C. Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
11. G. Box and N. Draper, Empirical Model-Building and Response Surfaces. Hoboken, NJ: Wiley, 1987.
12. R. Myers and D. Montgomery, Response Surface Methodology: Process and Product Optimization Using Designed Experiments. New York: Wiley-Interscience, 2002.
13. X. Li, J. Le, L. Pileggi, and A. Strojwas, "Projection-based performance modeling for inter/intra-die variations," in Proc. IEEE/ACM Int. Conf. Comput.-Aided Des., 2005, pp. 721-727.
14. M. Mckay, R. Beckman, and W. Conover, "A comparison of three methods for selecting values of input variables in the analysis of output from a computer code," Technometrics, vol. 21, no. 2, pp. 239-245, May 1979.
15. D. Montgomery, Design and Analysis of Experiments. Hoboken, NJ: Wiley, 2004.
16. N. Akhiezer, The Classical Moment Problem and Some Related Questions in Analysis. Edinburgh, U.K.: Oliver and Boyd, 1965.
17. B. Simon, "The classical moment problem as a self-adjoint finite difference operator," Adv. Math., vol. 137, no. 1, pp. 82-203, Jul. 1998.
18. L. Pillage and R. Rohrer, "Asymptotic waveform evaluation for timing analysis," IEEE Trans. Comput.-AidedDesign Integr. Circuits Syst., vol. 9, no. 4, pp. 352-366, Apr. 1990.
19. M. Celik, L. Pileggi, and A. Odabasioglu, IC Interconnect Analysis. Norwell, MA: Kluwer, 2002.
20. M. Bosley and F. Lees, "A survey of simple transfer-function derivations from high-order state-variable models," Automatica, vol. 8, no. 6, pp. 765-775, Nov. 1972.
21. X. Li, P. Gopalakrishnan, Y. Xu, and L. Pileggi, "Robust analog/RF circuit design with projection-based posynomial modeling," in Proc. IEEE/ACM Int. Conf. Comput.-Aided Des., 2004, pp. 855-862.
22. C. Robert and G. Casella, Monte Carlo Statistical Methods. New York: Springer-Verlag, 2005.
23. B. Silverman, Density Estimation for Statistics and Data Analysis. London, U.K.: Chapman and Hall, 1986.