A two-level waveform relaxation approach for fast transient simulation of long high-speed interconnects

This paper presents a waveform relaxation approach for efficient transient simulation of fully-coupled high-speed channels of medium to large electrical length. The channel is first described via a passive Delayed Rational Macromodel, which is suitably identified from tabulated scattering data. The structure of the macromodel is then exploited to setup a two-level iterative relaxation scheme for the solution of terminal voltage and current waveforms. Numerical results show that the proposed scheme outperforms standard SPICE-based solvers at no loss of accuracy.

[1]  Flavio Canavero,et al.  Mpilog, Macromodeling via Parametric Identification of Logic Gates , 2003 .

[2]  S. Grivet-Talocia Delay-Based Macromodels for Long Interconnects via Time-Frequency Decompositions , 2006, 2006 IEEE Electrical Performane of Electronic Packaging.

[3]  Ernest S. Kuh,et al.  Transient simulation of lossy interconnects based on the recursive convolution formulation , 1992 .

[4]  R. Achar,et al.  DEPACT: delay extraction-based passive compact transmission-line macromodeling algorithm , 2005, IEEE Transactions on Advanced Packaging.

[5]  S. Grivet-Talocia,et al.  Transient analysis of lossy transmission lines: an efficient approach based on the method of Characteristics , 2004, IEEE Transactions on Advanced Packaging.

[6]  I.S. Stievano,et al.  M/spl pi/log, macromodeling via parametric identification of logic gates , 2004, IEEE Transactions on Advanced Packaging.

[7]  Alberto L. Sangiovanni-Vincentelli,et al.  The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits , 1982, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[8]  Michel Nakhla,et al.  Simulation of coupled interconnects using waveform relaxation and transverse partitioning , 2006 .

[9]  W.T. Beyene,et al.  Applications of Multilinear and Waveform Relaxation Methods for Efficient Simulation of Interconnect-Dominated Nonlinear Networks , 2008, IEEE Transactions on Advanced Packaging.

[10]  T. Sarkar,et al.  Analysis of Multiconductor Transmission Lines , 1988, 31st ARFTG Conference Digest.

[11]  S. Grivet-Talocia,et al.  Delay-Based Macromodeling of Long Interconnects From Frequency-Domain Terminal Responses , 2010, IEEE Transactions on Advanced Packaging.

[12]  A. Sanders Statistical Simulation of Physical Transmission Media , 2009, IEEE Transactions on Advanced Packaging.

[14]  Tom Dhaene,et al.  On the construction of guaranteed passive macromodels for high-speed channels , 2010, 2010 Design, Automation & Test in Europe Conference & Exhibition (DATE 2010).

[15]  A. Charest,et al.  Time Domain Delay Extraction-Based Macromodeling Algorithm for Long-Delay Networks , 2010, IEEE Transactions on Advanced Packaging.

[16]  S. Grivet-Talocia,et al.  On the performance of weighting schemes for passivity enforcement of delayed rational macromodels of long interconnects , 2009, 2009 IEEE 18th Conference on Electrical Performance of Electronic Packaging and Systems.

[17]  Mohammad Al-Khaleel,et al.  Waveform Relaxation Technique for Longitudinal Partitioning of Transmission Lines , 2006, 2006 IEEE Electrical Performane of Electronic Packaging.

[18]  Michel Nakhla,et al.  Passivity verification and enforcement of delayed rational function macromodels from networks characterized by tabulated data , 2009, 2009 IEEE Workshop on Signal Propagation on Interconnects.

[19]  R. Achar,et al.  Parallel Simulation of Massively Coupled Interconnect Networks , 2010, IEEE Transactions on Advanced Packaging.

[20]  Ting Wu,et al.  Advanced Modeling and Accurate Characterization of a 16 Gb/s Memory Interface , 2009, IEEE Transactions on Advanced Packaging.

[21]  J.E. Jaussi,et al.  Modeling and Analysis of High-Speed I/O Links , 2009, IEEE Transactions on Advanced Packaging.

[22]  A. Charest,et al.  Compact Macromodeling of High-Speed Circuits via Delayed Rational Functions , 2007, IEEE Microwave and Wireless Components Letters.

[23]  Fung-Yuel Chang The generalized method of characteristics for waveform relaxation analysis of lossy coupled transmission lines , 1989 .