Moment computations of nonuniform distributed coupled RLC trees with applications to estimating crosstalk noise

A novel method is proposed to compute moments of nonuniform distributed coupled RLC transmission lines. Recursive formulae of moments of coupled RC trees are extended to those of coupled RLC trees by considering both self inductances and mutual inductances. It can be observed that moment computations of distributed lines outperform those of lumped ones. The inductive crosstalk noise waveform can be accurately and efficiently estimated using the moment computation technique in conjunction with the projection-based order reduction method. Fundamental developments of the proposed approach are described in detail. Experimental results demonstrate the improved accuracy of the proposed method over that of the traditional lumped methods.

[1]  Ernest S. Kuh,et al.  On projection-based algorithms for model-order reduction of interconnects , 2002 .

[2]  Andreas C. Cangellaris,et al.  Simulation of dispersive multiconductor transmission lines by Pade approximation via the Lanczos process , 1996 .

[3]  M. Çelik,et al.  Simulation of lossy multiconductor transmission lines using backward Euler integration , 1998 .

[4]  Ernest S. Kuh,et al.  Moment computation of lumped and distributed coupled RC trees with application to delay and crosstalk estimation , 2001, Proc. IEEE.

[5]  J. L. Prince,et al.  A new discrete transmission line model for passive model order reduction and macromodeling of high-speed interconnections , 1999 .

[6]  Sachin S. Sapatnekar,et al.  Exact and efficient crosstalk estimation , 2001, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  Michel Nakhla,et al.  Passive parameterized time-domain macromodels for high-speed transmission-line networks , 2003 .

[8]  Chandramouli V. Kashyap,et al.  A two moment RC delay metric for performance optimization , 2000, ISPD '00.

[9]  Pinaki Mazumder,et al.  Accurate modeling of lossy nonuniform transmission lines by using differential quadrature methods , 2002 .

[10]  Ernest S. Kuh,et al.  Passive multipoint moment matching model order reduction algorithm on multiport distributed interconnect networks , 1999 .

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

[12]  John Lillis,et al.  Interconnect Analysis and Synthesis , 1999 .

[13]  Wu-Shiung Feng,et al.  Moment Computations of Lumped Coupled RLC Trees with Applications to Estimating Crosstalk Noise , 2003 .

[14]  Yehea I. Ismail Efficient model order reduction via multi-node moment matching , 2002, ICCAD 2002.

[15]  Malgorzata Marek-Sadowska,et al.  Crosstalk reduction for VLSI , 1997, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..