Abstract
This paper presents a new algorithm for efficiently combining the process of model-reduction of high-speed interconnect subnetworks with nonlinear simulation. The proposed algorithm guarantees the number of states required during macromodel synthesis from reduced-order frequency-domain matrix-transfer functions to be minimum. Macromodels thus generated are both controllable and observable. In addition, the proposed algorithm can be used in conjunction with any of the existing model-reduction techniques. Examples are presented to demonstrate the efficiency of the proposed algorithm compared to previously published techniques.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H. Bakoglu, “Circuits, Inteconnectins and packaging for VlSI”, Addison-Wesley, Reading MA, 1990.
S. Y. Kim, N. Gopal, and L. T. Pillage, “Time-domain macromodels for VLSI interconnects analysis”, IEEE T-CAD, vol. 13, pp. 1257–1270, Oct. 94.
J. Vlach and K. Singhal, Computer Mathods for Circuit Analysis and Design. NY: Van Nostrand Reinhold Wiley and Sons Inc., 83.
L. T. Pillage and R. Rohrer, “Asymptotic waveform evaluation for timing analysis,” IEEE T-CAD vol. 9, pp. 352–366, Apr. 1990.
T. Tang and M. Nakhla, “Analysis of high-speed VLSI interconnect using the asymptotic waveform evaluation technique,” IEEE T-CAD, vol 11, pp. 2107–2116 Mar. 92.
I. Bracken, R. Rohrer, “Interconnects simulation with asymptotic waveform evaluation,” IEEE T-CAD, vol.39, pp/ 869–878, Nov. 92.
V. Raghaven,R. Rohrer, “AWESpice: A general tool for accurate and sffient simulation of interconnect problem,” in proc. IEEE/ACM DAC, pp. 87–92, Jun 92.
E. Chiprout and M. Nakhla, Asmptoti Waveform Evaluation and Moment Maching for Interconnect Analysis, Boston: Kluwer Academic Publishers, 1993
P. Felfmann and R. Freund, “Efficient linear circuit analysis by Padé via Lai T-CAD, vol 14, pp. 639–649, May 95.
P. Feldmann and R. W. Freund, “Reduced order modeling of large linear subcircuits via a block Lanczoa algorithm’, in Proc. IEEE/ACM DAC, pp.474–419 Jun 95.
M. Silveria, M. Kamon, I. Elfadel and J. White, “A coordinate-transformed Arnoldi algorithm for generating guaranteed stable reduced-order models of arbitrary RLC circuits”, in Proc. ICCAD. Nov. 96.
K. 1. Kerna and A. T. Yang, “Stable and efficient reduction of large, multipon RC networks by pole analysis via congruence transformations;’ in Proc. ACM/IEEE DAC., pp. 280–2S5, June 1995.
D. Xie and M. Nakhla, “Delay and crosstalk simulation of high-speed Vt,Sl interconnects with nonhinearterminations,” IEEE T-CAD, vol.12, pp. 1798-lSll,Nov. 93.
S. Y. Kim, N. Gopal, and L, T Pillage, ‘AWE macromodels of VLSI interconnect for circuit simulation,’ in Proc. ACM/IEEE DAC, pp 64–70, Jun 92.
R. Achar, M. Nakhla, “Addressing high frequency issues in VLSI interconnects with full wave model and Complex Frequency Hopping“, Proc. ICCAD, pp. 53–56, Nov. 1995.
G. zheng, Q. J. Zhang, “An efficient approach for moment-matching simulation of linear subnetworks with measured or tabulated data”, Proc. ICCAD, pp. 20–23, Nov. 96.
R. Achar, M. Nakhla and E. Chiprout, “Block CFH: A model-reduction technique for multiport dis- tributed interconnect networks”, in Proc. ECCTD, pp. 396–401, Sept. 97.
T. Kailath, Linear Systems. Toronto: Printce-Hall Inc., 1980.
E. G. Gilbert, “Conrollability and observability in multivariable control systems”, SIAM J. Control, pp. 128–151, 1963.
C. W. Ho, A. E. Ruehli, “The modified nodal approach to network analysis,” IEEE T-CAS, vol. CAS-22, pp. 504–509, June 1975.
C. T. Chen, Linear system theory and design. New York: Holt, Rinehart and Winston, 1984.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Achar, R., Nakhla, M. (1998). Minimum Realization of Reduced-Order High-Speed Interconnect Macromodels. In: Grabinski, H., Nordholz, P. (eds) Signal Propagation on Interconnects. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6512-0_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6512-0_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5059-8
Online ISBN: 978-1-4757-6512-0
eBook Packages: Springer Book Archive