Compact CAD Models for the Signal Integrity Verification of Multi-Coupled Transmission Lines

A novel modal signal decoupling algorithm for multi-coupled transmission lines is developed. Since the proposed method exploits a set of basis vectors associated with the characteristic impedances of the transmission line system, these multi-coupled signals can be efficiently decoupled regardless of dielectric media and conductors. Thus, compact forms of the signal integrity verification CAD models for multi-coupled transmission lines can be readily determined. It is shown that the analytical models are in excellent agreement with those obtained with SPICE simulation and its computation time is much faster than the conventional macro model (W-model) in the order of two.

[1]  Ken Mai,et al.  The future of wires , 2001, Proc. IEEE.

[2]  F. Caignet,et al.  The challenge of signal integrity in deep-submicrometer CMOS technology , 2001, Proc. IEEE.

[3]  A. J. Gruodis Transient analysis of uniform resistive transmission lines in a homogeneous medium , 1979 .

[4]  Roland W. Freund,et al.  Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm , 1995, 32nd Design Automation Conference.

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

[6]  Chandramouli V. Kashyap,et al.  RC delay metrics for performance optimization , 2001, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  Nasser A. Kurd,et al.  A multigigahertz clocking scheme for the Pentium(R) 4 microprocessor , 2001, IEEE J. Solid State Circuits.

[8]  Jun Chen,et al.  Piecewise linear model for transmission line with capacitive loading and ramp input , 2005, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[9]  S. Lipa,et al.  Rotary traveling-wave oscillator arrays: a new clock technology , 2001 .

[10]  N. Masoumi,et al.  A New and Efficient Approach for Estimating the Time-Domain Response of Capacitive Coupled Distributed RC Interconnects , 2008, 2008 12th IEEE Workshop on Signal Propagation on Interconnects.

[11]  Yungseon Eo,et al.  Generalized coupled interconnect transfer function and high-speed signal simulations , 1995 .

[12]  Lawrence T. Pileggi,et al.  Asymptotic waveform evaluation for timing analysis , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[13]  Keith A. Jenkins,et al.  When are transmission-line effects important for on-chip interconnections? , 1997 .

[14]  F.-Y. Chang Transient simulation of nonuniform coupled lossy transmission lines characterized with frequency-dependent parameters. II. Discrete-time analysis , 1992 .

[15]  Lawrence T. Pileggi,et al.  Timing metrics for physical design of deep submicron technologies , 1998, ISPD '98.

[16]  Roland W. Freund,et al.  Reduced-order modeling of large passive linear circuits by means of the SyPVL algorithm , 1996, Proceedings of International Conference on Computer Aided Design.

[17]  Yehea Ismail,et al.  Gasping the impact of on-chip inductance , 2001 .

[18]  Daniel C. Edelstein,et al.  On-chip wiring design challenges for gigahertz operation , 2001, Proc. IEEE.

[19]  Kenneth D. Granzow Digital transmission lines : computer modelling and analysis , 1998 .

[20]  L.M. Coulibaly,et al.  Analytical ramp delay model for distributed on-chip RLC interconnects , 2004, The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04..

[21]  C. S. Chang,et al.  Coupled lossy transmission line characterization and simulation , 1981 .

[22]  Roland W. Freund,et al.  Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm , 1996, ICCAD 1996.

[23]  Dennis Sylvester,et al.  Impact of small process geometries on microarchitectures in systems on a chip , 2001 .

[24]  James D. Meindl,et al.  Compact distributed RLC interconnect models - part III: transients in single and coupled lines with capacitive load termination , 2003 .

[25]  Liang Yin,et al.  An efficient analytical model of coupled on-chip RLC interconnects , 2001, ASP-DAC '01.

[26]  Yungseon Eo,et al.  A traveling-wave-based waveform approximation technique for thetiming verification of single transmission lines , 2002, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

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

[28]  Mark Horowitz,et al.  False coupling exploration in timing analysis , 2005, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[29]  R.R. Tummala,et al.  SOP: what is it and why? A new microsystem-integration technology paradigm-Moore's law for system integration of miniaturized convergent systems of the next decade , 2004, IEEE Transactions on Advanced Packaging.

[30]  Mattan Kamon,et al.  Efficient Reduced-Order Modeling of Frequency-Dependent Coupling Inductances associated with 3-D Interconnect Structures , 1995, 32nd Design Automation Conference.

[31]  C. W. Ho Theory and computer-aided analysis of lossless transmission lines , 1973 .

[32]  Lawrence T. Pileggi,et al.  PRIMA: passive reduced-order interconnect macromodeling algorithm , 1998, 1997 Proceedings of IEEE International Conference on Computer Aided Design (ICCAD).

[33]  Dennis Chen,et al.  Implementation of a fourth-generation 1.8-GHz dual-core SPARC V9 microprocessor , 2006, IEEE Journal of Solid-State Circuits.

[34]  Daniel Boley Krylov space methods on state-space control models , 1994 .

[35]  Jun-Fa Mao,et al.  Fast simulation and sensitivity analysis of lossy transmission lines by the method of characteristics , 1997 .

[36]  Ramachandra Achar,et al.  Simulation of high-speed interconnects , 2001, Proc. IEEE.

[37]  Dennis Sylvester,et al.  Analytical modeling and characterization of deep-submicrometer interconnect , 2001 .