Stochastic analysis of multiconductor cables and interconnects

IEEE Transactions on Electromagnetic Compatibility

Volumn 53, Issue 2, 2011, Pages 501-507

  Stievano, Igor S ^a   Manfredi, Paolo ^a   Canavero, Flavio G ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Circuit modeling; circuit simulation; electromagnetic compatibility (EMC); stochastic analysis; tolerance analysis; transmission lines; uncertainty

Indexed keywords

CIRCUIT MODELING; STOCHASTIC ANALYSIS; TOLERANCE ANALYSIS; TRANSMISSION LINES; UNCERTAINTY;

CABLES; CIRCUIT SIMULATION; ELECTROMAGNETIC COMPATIBILITY; FITS AND TOLERANCES; MONTE CARLO METHODS; POLYNOMIALS; RANDOM VARIABLES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

UNCERTAINTY ANALYSIS;

EID: 79957877525     PISSN: 00189375     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEMC.2011.2119488     Document Type: Article

References (15)

1. Q. Zhang, J. J. Liou, J. McMacken, J. Thomson, and P. Layman, "Development of robust interconnect model based on design of experiments and multiobjective optimization," IEEE Trans. Electron Devices, vol. 48, no. 9, pp. 1885-1891, Sep. 2001. (Pubitemid 32922866)
2. R. G. Ghanen and P. D. Spanos, Stochastic Finite Elements. A Spectral Approach. New York: Springer-Verlag, 1991, ch. 2.
3. D. Xiu and G. E. Karniadakis, "The Wiener-Askey polynomial chaos for stochastic differential equations," SIAM, J. Sci. Comput., vol. 24, no. 2, pp. 619-622, 2002.
4. B. J. Debusschere, H. N. Najm, P. P. Ṕebay, O. M. Knio, R. G. Ghanem, andO. P. LeMâitre, "Numerical challenges in the use of polynomial chaos representations for stochastic processes," SIAM J. Sci. Comput., vol. 26, no. 2, pp. 698-719, 2005. (Pubitemid 40449866)
5. N. Wiener, "The homogeneous chaos," Amer. J. Math., vol. 60, pp. 897- 936, 1938.
6. K. Strunz and Q. Su, "Stochastic formulation of SPICE-type electronic circuit simulation using polynomial chaos," ACM Trans. Model. Comput. Simul., vol. 18, no. 4, Sep. 2008.
7. Y. Zou, Y. Cai, Q. Zhou, X. Hong, S. X.-D. Tan, and L. Kang, "Practical implementation of stochastic parametrized model order reduction via Hermite polynomial chaos," in Proc. Asia South Pacific Design Autom. Conf., 2007, pp. 367-372.
8. I. S. Stievano and F. G. Canavero, "Response variability of high-speed interconnects via hermite polynomial chaos," in Proc. 14th IEEE Workshop Signal Propag. Interconnects, Hildesheim, Germany, May 9-12, 2010, pp. 3-6.
9. C. R. Paul, Analysis of Multiconductor Transmission Lines. NewYork: Wiley, 1994.
10. S. Shiran, B. Reiser, and H. Cory, "A probabilistic model for the evaluation of coupling between transmission lines," IEEE Trans. Electromagn. Compat., vol. 35, no. 3, pp. 387-393, Aug. 1993.
11. D. Bellan, S.A. Pignari, and G. Spadacini, "Characterisation of crosstalk in terms of mean value and standard deviation," IEE Proc.-Sci. Meas. Technol., vol. 150, no. 6, pp. 289-295, Nov. 2003.
12. W. Schoutens, Stochastic Processes and Orthogonal Polynomials. New York: Springer-Verlag, 2000.
13. A. Papoulis, Probability, Random Variables and Stochastic Processes, 3rd ed. New York: McGraw-Hill, 1991.
14. R. Cameron and W. Martin, "The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals," Ann. Math., vol. 48, no. 2, pp. 385-392, 1947.
15. R. Courant and D. Hilbert, Methods of Mathematical Physics. vol.1, New York: Wiley-Interscience, 1989.