Multi-dimensional model reduction of VLSI interconnects

Recently there have been numerous publications for developing reduced-order macromodels for linear circuits. However, all these techniques perform model reduction with respect to a single parameter such as frequency. This paper presents a new technique to reduce the order of the linear system simultaneously with respect to multiple parameters. The reduction is based on multidimensional congruence transformation. The proposed algorithm provides efficient means to estimate the response of large circuits simultaneously as a function of frequency and other design parameters.