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.