Proceedings of the European Computing Conference pp 123-131 | Cite as

# Equivalent Circuit Extraction for Passive Devices

## Abstract

In this study, a minimal equivalent circuit extraction scheme is provided for passive elements such as interconnects and packages. Instead of common poles, the non-common poles are used as the dominant poles of each frequency response when approximating those frequencies into a rational form. An illustration is given to show the relation between the electrical lengths of the interconnects/packages and the corresponding dominant poles. Finally, a three-port interconnect is used to validate the proposed approach. The circuit extracted by the proposed scheme has fewer components than the circuit from the conventional scheme, and decreases the computational load of the circuit simulation.

## Notes

### Acknowledgments

This work was supported in part by the National Science Council of Taiwan under Contract NSC-96–2752-E-009-003-PAE, Contract NSC 96-2220-E-009-018, Contract NSC-96-2221-E-009-210, Contract NSC-95-2752-E-009-003-PAE, Contract NSC 95-2220-E-009-030, Contract NSC-95-2221-E-009-336; and by the MoE ATU Program under a 2006–2007 grant.

## References

- 1.Cheng CK, Lillis J, Lin S, Chang N (1999) Interconnect analysis and synthesis. Wiley, New YorkGoogle Scholar
- 2.Young B (2001) Digital signal integrity. Prentice-Hall, Englewood Cliffs, NJGoogle Scholar
- 3.Kundert KS, White J, Sangiovanni-Vincentelli A (1989) A mixed frequency-time approach for distortion analysis of switching filter circuits. IEEE J Solid-St Circ, 24:443–451CrossRefGoogle Scholar
- 4.Griffith R, Nakhla MS (1992) Mixed frequency/time domain analysis of nonlinear circuits. IEEE T Comput Aid Design 11:1032–1043Google Scholar
- 5.Neumayer R, Stelzer A, Haslinger F, Weigel R (2002) On the synthesis of equivalent-circuit models for multiports characterized by frequency-dependent parameters. IEEE T Microw Theory Tech 50:2789–2795CrossRefGoogle Scholar
- 6.Chiprout E, Nakhla M (1993) Addressing high-speed interconnect issues in asymptotic waveform evaluation. In: Proc. int. design automat.. Dallas, Texas, pp 732–736Google Scholar
- 7.Chiprout E, Nakhla M (1993) Transient waveform estimation of high-speed MCM networks using complex frequency hopping. In: Proceedings of the multi-chip module conference. Santa Cruz, CA, pp 134–139Google Scholar
- 8.Sanaie R, Chiprout E, Nakhla MS, Zhang QJ (1994) Integrating subnetworks characterized by measured data into moment-matching simulations. In: Proceedings of the multi-chip module conference. Santa Cruz, CA, pp 114–119Google Scholar
- 9.Na N, Choi J, Chun S, Swaminathan M, Srinivasan J (2000) Modeling and transient simulation of planes in electronics packages. IEEE T Adv Packaging 23:340–352CrossRefGoogle Scholar
- 10.Morsey J, Cangellaris AC (2001) PRIME: Passive realization of interconnect models from measured data. In: Proceedings of the 10th topical meeting on elect. performance electron. packag, Cambridge, MA. pp 47–50Google Scholar
- 11.Achar R, Gunupudi PK, Nakhla M, Chiprout E (2000) Passive interconnect reduction algorithm for distributed/measured networks. IEEE T Circuits-II 47:287–301CrossRefGoogle Scholar
- 12.Achar R, Nakhla MS (2001) Simulation of high-speed interconnects. Proc IEEE 89:693–728Google Scholar
- 13.Li EP, Liu EX, Li LW, Leong MS (2004) A coupled efficient and systematic full-wave time-domain macromodeling and circuit simulation method for signal integrity analysis of high-speed interconnects. IEEE T Adv Packaging 27:213–223CrossRefGoogle Scholar
- 14.Achar R, Nakhla M (1998) Minimum realization of reduced-order models of high-speed interconnect macromodels. Kluwer, Boston, MA, pp 23–44Google Scholar
- 15.Grivet-Talocia S, Stievano IS, Canavero FG, Maio IA (2004) A systematic procedure for the macromodeling of complex interconnects and packages. In: Proceedings of the international symposium on electromagnetic compatibility (EMC Europe 2004), Eindhoven, The Netherlands, pp 414–419Google Scholar
- 16.Grivet-Talocia S, Brenner P, Canavero FG (2007) Fast macromodel-based signal integrity assessment for RF and mixed-signal modules. IEEE international symposium on EMC, Honolulu, HawaiiGoogle Scholar
- 17.Canavero F., Grivet-Talocia S, Maio IA, Stievano IS (2005) Linear and nonlinear macromodels for system-level signal integrity and EMC assessment. IEICE T Commun—Special Issue on EMC, E88-B:3121–3126Google Scholar
- 18.Chi-Tsong Chen (1999) Linear system theory and design. Oxford University Press, NJGoogle Scholar
- 19.Kailath T (1980) Linear systems. Prentice-Hall, Englewood Cliffs, NJGoogle Scholar