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Volumn 32, Issue 10, 2013, Pages 1533-1545

Stochastic testing method for transistor-level uncertainty quantification based on generalized polynomial chaos

Author keywords

Generalized polynomial chaos; stochastic circuit simulation; stochastic testing method; uncertainty quantification; variation analysis

Indexed keywords

GENERALIZED POLYNOMIAL CHAOS; STOCHASTIC CIRCUITS; TESTING METHOD; UNCERTAINTY QUANTIFICATIONS; VARIATION ANALYSIS;

EID: 84884563945     PISSN: 02780070     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCAD.2013.2263039     Document Type: Article
Times cited : (180)

References (51)
  • 1
  • 2
    • 0029358972 scopus 로고
    • Limitation of CMOS supply-voltage scaling by MOSFET threshold-voltage variation
    • Aug
    • S.-W. Sun and P. G. Y. Tsui, "Limitation of CMOS supply-voltage scaling by MOSFET threshold-voltage variation," IEEE J. Solid-State Circuits, vol. 30, no. 8, pp. 947-949, Aug. 1995.
    • (1995) IEEE J. Solid-State Circuits , vol.30 , Issue.8 , pp. 947-949
    • Sun, S.-W.1    Tsui, P.G.Y.2
  • 4
    • 51549088660 scopus 로고    scopus 로고
    • Stochastic integral equation solver for efficient variation aware interconnect extraction
    • Jun
    • T. Moselhy and L. Daniel, "Stochastic integral equation solver for efficient variation aware interconnect extraction," in Proc. Design Auto. Conf., Jun. 2008, pp. 415-420.
    • (2008) Proc. Design Auto. Conf , pp. 415-420
    • Moselhy, T.1    Daniel, L.2
  • 5
    • 77956223639 scopus 로고    scopus 로고
    • Stochastic dominant singular vectors method for variation-aware extraction
    • Jun
    • T. Moselhy and L. Daniel, "Stochastic dominant singular vectors method for variation-aware extraction," in Proc. Design Auto. Conf., Jun. 2010, pp. 667-672.
    • (2010) Proc. Design Auto. Conf , pp. 667-672
    • Moselhy, T.1    Daniel, L.2
  • 6
    • 79959232666 scopus 로고    scopus 로고
    • Variation-aware stochastic extraction with large parameter dimensionality: Review and comparison of state of the art intrusive and non-intrusive techniques
    • Mar
    • T. Moselhy and L. Daniel, "Variation-aware stochastic extraction with large parameter dimensionality: Review and comparison of state of the art intrusive and non-intrusive techniques," in Proc. Int. Symp. Quality Electron. Design, Mar. 2011, pp. 14-16.
    • (2011) Proc. Int. Symp. Quality Electron. Design , pp. 14-16
    • Moselhy, T.1    Daniel, L.2
  • 9
    • 84857458946 scopus 로고    scopus 로고
    • Carbon nanotube interconnects: Process variation via polynomial chaos
    • Feb
    • I. S. Stievano, P. Manfredi, and F. G. Canavero, "Carbon nanotube interconnects: Process variation via polynomial chaos," IEEE Trans. Electromagn. Compat., vol. 54, no. 1, pp. 140-148, Feb. 2012.
    • (2012) IEEE Trans. Electromagn. Compat , vol.54 , Issue.1 , pp. 140-148
    • Stievano, I.S.1    Manfredi, P.2    Canavero, F.G.3
  • 10
    • 84862921120 scopus 로고    scopus 로고
    • Model order reduction of fully parameterized systems by recursive least square optimization
    • Jun
    • Z. Zhang, I. M. Elfadel, and L. Daniel, "Model order reduction of fully parameterized systems by recursive least square optimization," in Proc. Int. Conf. Computer-Aided Design, Jun. 2011, pp. 523-530.
    • (2011) Proc. Int. Conf. Computer-Aided Design , pp. 523-530
    • Zhang, Z.1    Elfadel, I.M.2    Daniel, L.3
  • 11
    • 2542503566 scopus 로고    scopus 로고
    • A multiparameter moment-matching model-reduction approach for generating geometrically parameterized interconnect performance models
    • May
    • L. Daniel, C. S. Ong, S. C. Low, K. H. Lee, and J. K. White, "A multiparameter moment-matching model-reduction approach for generating geometrically parameterized interconnect performance models," IEEE Trans. Computer-Aided Design Integr. Circuits Syst., vol. 23, no. 5, pp. 678-693, May 2004.
    • (2004) IEEE Trans. Computer-Aided Design Integr. Circuits Syst , vol.23 , Issue.5 , pp. 678-693
    • Daniel, L.1    Ong, C.S.2    Low, S.C.3    Lee, K.H.4    White, J.K.5
  • 12
    • 0032272981 scopus 로고    scopus 로고
    • Modeling the effects of manufacturing variation on high-speed microprocessor interconnect performance
    • Dec
    • V. Mehrotra, S. Nassif, D. Boning, and J. Chung, "Modeling the effects of manufacturing variation on high-speed microprocessor interconnect performance," in Proc. IEDM, Dec. 1998, pp. 767-770.
    • (1998) Proc. IEDM , pp. 767-770
    • Mehrotra, V.1    Nassif, S.2    Boning, D.3    Chung, J.4
  • 14
    • 0029304862 scopus 로고
    • Integrated circuit yield management and yield analysis: Development and implementation
    • May
    • C. H. Stapper and R. J. Rosner, "Integrated circuit yield management and yield analysis: Development and implementation," IEEE Trans. Semicond. Manuf., vol. 8, no. 2, pp. 95-102, May 1995.
    • (1995) IEEE Trans. Semicond. Manuf , vol.8 , Issue.2 , pp. 95-102
    • Stapper, C.H.1    Rosner, R.J.2
  • 16
    • 84860357717 scopus 로고    scopus 로고
    • Models of process variations in device and interconnect
    • Piscataway, NJ, USA: IEEE Press
    • D. S. Boning and S. Nassif, "Models of process variations in device and interconnect," Design of High Performance Microprocessor Circuits. Piscataway, NJ, USA: IEEE Press, 2000, pp. 98-115.
    • (2000) Design of High Performance Microprocessor Circuits , pp. 98-115
    • Boning, D.S.1    Nassif, S.2
  • 17
    • 77958463268 scopus 로고    scopus 로고
    • Finding deterministic solution from underdetermined equation: Large-scale performance modeling of analog/RF circuits
    • Nov
    • X. Li, "Finding deterministic solution from underdetermined equation: Large-scale performance modeling of analog/RF circuits," IEEE Trans. Computer-Aided Design Integr. Circuits Syst., vol. 29, no. 11, pp. 1661-1668, Nov. 2011.
    • (2011) IEEE Trans. Computer-Aided Design Integr. Circuits Syst , vol.29 , Issue.11 , pp. 1661-1668
    • Li, X.1
  • 19
    • 82155181726 scopus 로고    scopus 로고
    • Virtual probe: A statistical framework for low-cost silicon characterization of nanoscale integrated circuits
    • Dec
    • W. Zhang, X. Li, F. Liu, E. Acar, R. Rutenbar, and R. Blanton, "Virtual probe: A statistical framework for low-cost silicon characterization of nanoscale integrated circuits," IEEE Trans. Computer-Aided Design Integr. Circuits Syst., vol. 30, no. 12, pp. 1814-1827, Dec. 2011.
    • (2011) IEEE Trans. Computer-Aided Design Integr. Circuits Syst , vol.30 , Issue.12 , pp. 1814-1827
    • Zhang, W.1    Li, X.2    Liu, F.3    Acar, E.4    Rutenbar, R.5    Blanton, R.6
  • 21
    • 84884569346 scopus 로고    scopus 로고
    • [Online]. Available
    • [Online]. Available: http://www.cadence.com
  • 22
    • 84884559352 scopus 로고    scopus 로고
    • [Online].Available
    • [Online]. Available: http://www.synopsys.com/Tools/Verification
  • 23
    • 33745955275 scopus 로고
    • The Monte Carlo method
    • N. Metropolis and S. Ulam, "The Monte Carlo method," J. Amer. Statistical Assoc., vol. 44, no. 247, pp. 335-341, 1949.
    • (1949) J. Amer. Statistical Assoc , vol.44 , Issue.247 , pp. 335-341
    • Metropolis, N.1    Ulam, S.2
  • 24
    • 34547208344 scopus 로고    scopus 로고
    • Mixture importance sampling and its application to the analysis of SRAM designs in the presence of rare failure events
    • DOI 10.1145/1146909.1146930, 2006 43rd ACM/IEEE Design Automation Conference, DAC'06
    • R. Kanj, R. Joshi, and S. Nassif, "Mixture importance sampling and its application to the analysis of SRAM designs in the presence of rare failure events," in Proc. Design Automation Conf., San Francisco, CA, USA, Jun. 2006, pp. 69-72. (Pubitemid 47113869)
    • (2006) Proceedings - Design Automation Conference , pp. 69-72
    • Kanj, R.1    Joshi, R.2    Nassif, S.3
  • 25
    • 77955186651 scopus 로고    scopus 로고
    • Statistical blockade: Very fast statistical simulation and modeling of rare circuit events and its application to memory design
    • Aug
    • A. Singhee and R. A. Rutenbar, "Statistical blockade: Very fast statistical simulation and modeling of rare circuit events and its application to memory design," IEEE Trans. Computer-Aided Design Integr. Circuits Syst., vol. 28, no. 8, pp. 1176-1189, Aug. 2009.
    • (2009) IEEE Trans. Computer-Aided Design Integr. Circuits Syst , vol.28 , Issue.8 , pp. 1176-1189
    • Singhee, A.1    Rutenbar, R.A.2
  • 26
    • 77958450831 scopus 로고    scopus 로고
    • Why Quasi-Monte Carlo is better than Monte Carlo or latin hypercube sampling for statistical circuit analysis
    • Nov
    • A. Singhee and R. A. Rutenbar, "Why Quasi-Monte Carlo is better than Monte Carlo or latin hypercube sampling for statistical circuit analysis," IEEE Trans. Computer-Aided Design Integr. Circuits Syst., vol. 29, no. 11, pp. 1763-1776, Nov. 2010.
    • (2010) IEEE Trans. Computer-Aided Design Integr. Circuits Syst , vol.29 , Issue.11 , pp. 1763-1776
    • Singhee, A.1    Rutenbar, R.A.2
  • 27
    • 46649113146 scopus 로고    scopus 로고
    • Stochastic sparse-grid collocation algorithm (SSCA) for periodic steady-state analysis of nonlinear system with process variations
    • J. Tao, X. Zeng, W. Cai, Y. Su, D. Zhou, and C. Chiang, "Stochastic sparse-grid collocation algorithm (SSCA) for periodic steady-state analysis of nonlinear system with process variations," in Proc. Asia South Pacific Design Automation Conf., 2007, pp. 474-479.
    • (2007) Proc. Asia South Pacific Design Automation Conf , pp. 474-479
    • Tao, J.1    Zeng, X.2    Cai, W.3    Su, Y.4    Zhou, D.5    Chiang, C.6
  • 28
    • 53349108824 scopus 로고    scopus 로고
    • Stochastic formulation of SPICE-type electronic circuit simulation with polynomial chaos
    • Sep
    • K. Strunz and Q. Su, "Stochastic formulation of SPICE-type electronic circuit simulation with polynomial chaos," ACM Trans. Model. Comput. Simulation, vol. 18, no. 4, Sep. 2008.
    • (2008) ACM Trans. Model. Comput. Simulation , vol.18 , Issue.4
    • Strunz, K.1    Su, Q.2
  • 29
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • Oct
    • N. Wiener, "The homogeneous chaos," Amer. J. Math., vol. 60, no. 4, pp. 897-936, Oct. 1938.
    • (1938) Amer. J. Math , vol.60 , Issue.4 , pp. 897-936
    • Wiener, N.1
  • 31
    • 33646577797 scopus 로고    scopus 로고
    • High-order collocation methods for differential equations with random inputs
    • Mar
    • D. Xiu and J. S. Hesthaven, "High-order collocation methods for differential equations with random inputs," SIAM J. Sci. Comput., vol. 27, no. 3, pp. 1118-1139, Mar. 2005.
    • (2005) SIAM J. Sci. Comput , vol.27 , Issue.3 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.S.2
  • 32
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • Feb
    • D. Xiu and G. E. Karniadakis, "The Wiener-Askey polynomial chaos for stochastic differential equations," SIAM J. Sci. Comput., vol. 24, no. 2, pp. 619-644, Feb. 2002.
    • (2002) SIAM J. Sci. Comput , vol.24 , Issue.2 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.E.2
  • 33
    • 0037408312 scopus 로고    scopus 로고
    • Modeling uncertainty in flow simulations via generalized polynomial chaos
    • DOI 10.1016/S0021-9991(03)00092-5
    • D. Xiu and G. E. Karniadakis, "Modeling uncertainty in flow simulations via generalized polynomial chaos," J. Comput. Phys., vol. 187, no. 1, pp. 137-167, May 2003. (Pubitemid 36515575)
    • (2003) Journal of Computational Physics , vol.187 , Issue.1 , pp. 137-167
    • Xiu, D.1    Karniadakis, G.E.2
  • 34
    • 60149090193 scopus 로고    scopus 로고
    • Fast numerical methods for stochastic computations: A review
    • Feb
    • D. Xiu, "Fast numerical methods for stochastic computations: A review," Commun. Comput. Phys., vol. 5, nos. 2-4, pp. 242-272, Feb. 2009.
    • (2009) Commun. Comput. Phys , vol.5 , Issue.2-4 , pp. 242-272
    • Xiu, D.1
  • 35
    • 33746253337 scopus 로고    scopus 로고
    • Modeling multibody systems with uncertainties. Part I: Theoretical and computational aspects
    • Sep
    • A. Sandu, C. Sandu, and M. Ahmadian, "Modeling multibody systems with uncertainties. part I: Theoretical and computational aspects," Multibody Syst. Dyn., vol. 15, pp. 373-395, Sep. 2006.
    • (2006) Multibody Syst. Dyn , vol.15 , pp. 373-395
    • Sandu, A.1    Sandu, C.2    Ahmadian, M.3
  • 36
    • 84875769009 scopus 로고    scopus 로고
    • Stochastic collocation methods on unstructured grids in high dimensions via interpolation
    • Mar
    • A. Narayan and D. Xiu, "Stochastic collocation methods on unstructured grids in high dimensions via interpolation," SIAM J. Sci. Comput., vol. 34, no. 3, pp. 1729-1752, Mar. 2012.
    • (2012) SIAM J. Sci. Comput , vol.34 , Issue.3 , pp. 1729-1752
    • Narayan, A.1    Xiu, D.2
  • 37
    • 84884547671 scopus 로고    scopus 로고
    • Stochastic collocation with least orthogonal interpolant Leja sequences
    • Feb.-Mar
    • A. Narayan and D. Xiu, "Stochastic collocation with least orthogonal interpolant Leja sequences," in Proc. SIAM Conf. Comput. Sci. Eng., Feb.-Mar. 2013.
    • (2013) Proc. SIAM Conf. Comput. Sci. Eng
    • Narayan, A.1    Xiu, D.2
  • 39
    • 78651592154 scopus 로고    scopus 로고
    • Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: A numerical comparison
    • Jun
    • J. B̈ack, F. Nobile, L. Tamellini, and R. Tempone, "Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: A numerical comparison," Spectral High Order Methods Partial Differential Equations, vol. 76, pp. 43-62, Jun. 2011.
    • (2011) Spectral High Order Methods Partial Differential Equations , vol.76 , pp. 43-62
    • B̈ack, J.1    Nobile, F.2    Tamellini, L.3    Tempone, R.4
  • 41
    • 84855460849 scopus 로고    scopus 로고
    • Reduced-order models of finite element approximations of electromagnetic devices exhibiting statistical variability
    • Jan
    • P. Sumant, H. Wu, A. Cangellaris, and N. R. Aluru, "Reduced-order models of finite element approximations of electromagnetic devices exhibiting statistical variability," IEEE Trans. Antennas Propag., vol. 60, no. 1, pp. 301-309, Jan. 2012.
    • (2012) IEEE Trans. Antennas Propag , vol.60 , Issue.1 , pp. 301-309
    • Sumant, P.1    Wu, H.2    Cangellaris, A.3    Aluru, N.R.4
  • 43
    • 0016519919 scopus 로고
    • The modified nodal approach to network analysis
    • Jun
    • C.-W. Ho, A. Ruehli, and P. Brennan, "The modified nodal approach to network analysis," IEEE Trans. Circuits Syst., vol. 22, no. 6, pp. 504-509, Jun. 1975.
    • (1975) IEEE Trans. Circuits Syst , vol.22 , Issue.6 , pp. 504-509
    • Ho, C.-W.1    Ruehli, A.2    Brennan, P.3
  • 44
    • 16244409214 scopus 로고    scopus 로고
    • Physical systems with random uncertainties: Chaos representations with arbitrary probability measure
    • DOI 10.1137/S1064827503424505
    • C. Soize and R. Ghanem, "Physical systems with random uncertainties: Chaos representations with arbitrary probability measure," SIAM J. Sci. Comput., vol. 26, no. 2, pp. 395-410, Feb. 2004. (Pubitemid 40449850)
    • (2005) SIAM Journal of Scientific Computing , vol.26 , Issue.2 , pp. 395-410
    • Soize, C.1    Ghanem, R.2
  • 45
    • 0026255002 scopus 로고
    • FastCap: A multipole accelerated 3-D capacitance extraction program
    • Nov
    • K. Nabors and J. White, "FastCap: A multipole accelerated 3-D capacitance extraction program," IEEE Trans. Computer-Aided Design Integr. Circuits Syst., vol. 10, no. 11, pp. 1447-1459, Nov. 1991.
    • (1991) IEEE Trans. Computer-Aided Design Integr. Circuits Syst , vol.10 , Issue.11 , pp. 1447-1459
    • Nabors, K.1    White, J.2
  • 47
    • 0001690926 scopus 로고
    • Fast inversion of Vandermonde-like matrices involving orthogonal polynomials
    • D. Calvetti and L. Reichel, "Fast inversion of Vandermonde-like matrices involving orthogonal polynomials," BIT Numerical Math., vol. 33, no. 3, pp. 473-484, 1994.
    • (1994) BIT Numerical Math , vol.33 , Issue.3 , pp. 473-484
    • Calvetti, D.1    Reichel, L.2
  • 48
    • 0842283334 scopus 로고    scopus 로고
    • NIKHEF, Theory Group, Amsterdam, The Netherlands, Tech. Rep. NIKHEF-00-012
    • S. Weinzierl, "Introduction to Monte Carlo methods," NIKHEF, Theory Group, Amsterdam, The Netherlands, Tech. Rep. NIKHEF-00-012, 2000.
    • (2000) Introduction to Monte Carlo Methods
    • Weinzierl, S.1
  • 49
    • 21344452330 scopus 로고    scopus 로고
    • Sunnyvale, CA, USA, Avant! Corporation, Feb
    • Star-HSPICE Users Manual, Sunnyvale, CA, USA, Avant! Corporation, Feb. 1996.
    • (1996) Star-HSPICE Users Manual
  • 50
    • 84884568503 scopus 로고    scopus 로고
    • [Online]. Available
    • [Online]. Available: http://www.mosis.com/files/test data/t14y tsmc 025\ level3.txt
  • 51
    • 2942633452 scopus 로고    scopus 로고
    • Sparse grids
    • H.-J. Bungartz and M. Griebel, "Sparse grids," Acta Numerica, vol. 13, pp. 147-269, May 2004. (Pubitemid 38773594)
    • (2004) Acta Numerica , vol.13 , pp. 147-269
    • Bungartz, H.-J.1    Griebel, M.2


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