Efficient statistical capacitance variability modeling with orthogonal principle factor analysis

IEEE/ACM International Conference on Computer-Aided Design, Digest of Technical Papers, ICCAD

Volumn 2005, Issue , 2005, Pages 683-690

  Jiang, Rong ^a   Fu, Wenyin ^a   Wang, Janet Meiling ^b   Lin, Vince ^c   Chen, Charlie Chung Ping ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

^b University of Arizona   (United States)

^c Science Based Industrial Park ^*  (Taiwan)

Author keywords

Capacitance; Parasitic extraction; Principle factor analysis; Process variations; Random variable reduction

Indexed keywords

LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICAL METHODS; SYSTEMS ANALYSIS; WSI CIRCUITS;

CAPACITANCE MODEL; PARASITIC EXTRACTION; PRINCIPLE FACTOR ANALYSIS; RANDOM VARIABLE REDUCTION;

VLSI CIRCUITS;

EID: 33751418350     PISSN: 10923152     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCAD.2005.1560153     Document Type: Conference Paper

References (20)

1. P. Wrschka, J. Hernandez, G. S. Oehrlein, and J. King, "Chemical mechanical planarization of copper damascene structures," Journal of The Electrochemical Society, pp. 706-712, 2000.
2. P. Li, F. Liu, X. Li, L. T. Pileggi, and S. R. Nassif, "Modeling interconnect variability using efficient parametric model order reduction," Design Automation and Test in Europe, pp. 958-963, 2005.
3. E. Chiprout and T. Nguyen, "Survey of model reduction techniques for analysis of package and interconnect models of high-speed designs," IEEE 6th Topical Meeting on Electrical Performance of Electronic Packaging, pp. 251-254, 1997.
4. B. N. Sheehan, "Branch merge reduction of rlcm networks," Proc. ICCAD, pp. 658-664, 2003.
5. H. Chang and S. S. Sapatnekar, "Statistical timing analysis considering spatial correlations using a single pert-like traversal," Proc. ICCAD, pp. 621-625, 2003.
6. L. Daniel, C. S. Ong, S. C. Low, K. H. Lee, and J. White, "A multiparameter moment matching model reduction approach for generating geometrically parameterized interconnect performance models," IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, vol. 23, no. 5, pp. 678-693, May 2004.
7. X. Li, J. Le, P. Gopalakrishnan, and L. T. Pileggi, "Asymptotic probability extraction for non-normal distributions of circuit," pp. 2-9, 2004.
8. K. Nabors and J. White, "Fastcap: a multipole accelerated 3-d capacitance extraction program," IEEE Trans. on CAD, pp. 1447-1459, 1991.
9. W. Shi, J. Liu, N. Kakani, and T. Yu, "A fast hierarchical algorithm for 3-d capacitance extraction," IEEE Trans. on CAD, pp. 330-336, 2002.
10. S. Yan, V. Sarin, and W. Shi, "Sparse transformations and preconditioners for hierarchical 3-d capacitance extraction with multiple dielectrics," Proc. DAC, pp. 788-793, 2004.
11. M. Beattie and L. Pileggi, "Electromagnetic parasitic extraction via a multipole method with hierarchical refinement," Proc. ICCAD, pp. 437-444, 1999.
12. S. Kapur and D. E. Long, "Ies3: A fast integral equation solver for efficient 3-dimensional extraction," Proc. ICCAD, pp. 448-455, 1997.
13. B. Krauter, X. Yu, A. Dengi, and L. Pileggi, "A sparse image method for bem capacitance extraction," Proc. DAC, pp. 357-362, June 1996.
14. J. Tausch and J. White, "A multiscale method for fast capacitance extraction," Proc. DAC, pp. 537-542, 1999.
15. J. R. Phillips and J. White, "A precorrected fft method for capacitance extraction of complicated 3-d structures," IEEE Trans. CAD, pp. 1059-1072, 1997.
16. Z. Zhu, A. Demir, and J. White, "A stochastic integral equation method for modeling the rough surface effect on interconnect capacitance," Proc. ICCAD, pp. 887-891, 2004.
17. R. Jiang, Y.-H. Chang, and C. C.-P. Chen, "Iccap: A linear time sparse transformation and reordering algorithm for 3d bem capacitance extraction," Proc. DAC, pp. 163-166, 2005.
18. R. L. Gorsuch, Factor Analysis. Hillsdale, NJ, 1974.
19. B. V. Gnedenko, Theory of Probability. Gordon and Breach Science Publishers, 1997.
20. A. Mathai and S. B. Provost, Quadratic Forms in Random Variables: Theory and Applications. New York Marcel Dekker, 1992.