Abstract
The efficient modeling of integrated passive components and interconnects is vital for the realization of high performance mixed-signal systems. In this paper, we develop a dynamic multi-point rational interpolation method based on Krylov subspace techniques to generate reduced order models for passive components and interconnects that are accurate across a wide-range of frequencies. We dynamically select interpolation points by applying a cubic spline-based algorithm to detect complex regions in the system's frequency response. The results indicate that our method provides greater accuracy than techniques that apply uniform interpolation points.
This is a preview of subscription content, log in via an institution to check access.
References
A. Nieuwoudt, M.S. McCorquodale, R.T. Borno, and Y. Massoud, “Efficient analytical modeling techniques for rapid integrated spiral inductor prototyping.” In Proceedings of the IEEE Custom Integrated Circuits Conference, 2005, pp. 281–284.
M. Mondal and Y. Massoud, “Reducing pessimism in RLC delay estimation using an accurate analytical frequency dependent model for inductance.” In Proceedings of the IEEE/ACM International Conference on Computer Aided Design, 2005, pp. 690–695.
A. Nieuwoudt and Y. Massoud, “Robust automated synthesis methodology for integrated spiral inductors with variability.” In Proceedings of the IEEE/ACM International Conference on Computer-Aided Design, 2005, pp. 502–507.
A. Nieuwoudt, T. Ragheb, and Y. Massoud, “SOC-NLNA: Synthesis and optimization for fully integrated narrow-band CMOS low noise amplifiers.” In Proceedings of the IEEE/ACM Design Automation Conference, 2006, pp. 879–884.
A. Odabasioglu, M. Celik, and L.T. Pileggi, “PRIMA: Passive reduced-order interconnect macromodeling algorithm,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 17, no. 8, pp. 645–654, 1998.
M. Alam, A. Nieuwoudt, and Y. Massoud, “Wavelet-based passivity preserving model order reduction for wideband interconnect characterization.” In Proceedings of the IEEE Symposium on Quality Electronic Design, ISQED, 2007.
M. Alam, A. Nieuwoudt, and Y. Massoud, “Frequency selective model order reduction via spectral zero projection.” In Proceedings of the IEEE/ACM ASP Design Automation Conference, 2007.
J.R. Phillips, “Projection-based approaches for model reduction of weakly nonlinear, Time-varying systems.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 22, no. 2, pp. 171–187, 2003.
J. Phillips and L.M. Silveira, “Poor man’s TBR: A simple model reduction scheme.” In Proceedings of the Design, Automation and Test in Europe Conference, 2004, pp. 1530–1591.
H.-J. Lee, C.-C. Chu, and W.-S. Feng, “Multi-point model reductions of VLSI interconnects using the rational Arnoldi method with adaptive orders (RAMAO).” In Proceedings of the 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004, pp. 1009–1012.
A.C. Antoulas, D.C. Sorensen, and S. Gugercin, “A survey of model. Reduction methods for large-scale systems,” Contemp. Math, vol. 280, pp. 193–219, 2001.
G.D. Knott, Interpolating Cubic Splines. Birkhauser, 2000.
M. Kamon, M.J. Tsuk, and J. White, “Fasthenry: A multipole-accelerated 3-D inductance extraction program,” IEEE Transactions on Microwave Theory and Techniques, pp. 1750 – 1758, 1994.
K. Nabors and J. White, “Fastcap: A multipole accelerated 3-D capacitance extraction program,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, pp. 1447–1459, 1991.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Alam, M., Nieuwoudt, A. & Massoud, Y. Model order reduction using spline-based dynamic multi-point rational interpolation for passive circuits. Analog Integr Circ Sig Process 50, 273–277 (2007). https://doi.org/10.1007/s10470-006-9017-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10470-006-9017-5