A Fourier Series-Based RLC Interconnect Model for Periodic Signals

Abstract

Based on a Fourier series analysis, an analytic interconnect model is presented which is suitable for periodic signals, such as a clock signal. In this model, the far end time domain waveform is approximated by the summation of several sinusoids. Closed form solutions of the 50% delay are provided when the fifth and higher harmonics are ignored. The model is applied to distributed interconnect trees and multiple coupled interconnects. Good accuracy is observed between the model and SPICE simulations. The computational complexity of the model is linear with the number of harmonics.