Comprehensive Frequency Dependent Interconnect Extraction and Evaluation Methodology

Abstract — Frequency dependent interconnect analysis is challenging since lumped equivalent circuit models extracted at different frequencies exhibit distinct time and frequency domain responses, and consequently, the analysis of a single equivalent circuit is inapplicable to evaluate the interconnect behavior at other frequencies. In this paper, we present a wide frequency range interconnect extraction and analysis methodology. First, an improved reluctance-based extraction algorithm is proposed to generate compact interconnect models at some sample frequencies. Then, DLSCF (Discrete Least Square Curve Fitting) techniques are employed to produce approximation polynomials to calculate parasitics at other frequencies. Finally, after transferring those approximation polynomials into power series of s and substituting them into the MNA (Modified Nodal Analysis) formula, we develop and apply the WIFRIM (Wide Frequency Range Interconnect Moment Matching) algorithm to calculate moments of arbitrary orders. Since WIFRIM only needs to decompose a sparse conductance matrix once, it results in significant speedup while providing accuracy within 1 % error. I