An Efficient Analytical Technique for Fast and Accurate Modeling of Substrate Coupling in Mixed-Signal IC´s

Substrate coupling noise is a key problem in today´s large mixed-signal systems. This noise is caused by the coupling of digital part and can perturb analog circuits through common substrate. The estimating and accurate modeling of noise coupling effects is a main challenge for designers. In this paper, we describe a method to quickly and accurately estimate substrate coupling effects based on Maxwell´s equations and the integral solution for parasitic extraction. Examples are given which show that the proposed method is sufficiently accurate for practical circuit verification by avoiding a dense matrix storage and long computational runtime. Furthermore, a very good speedup factor is obtained when comparing our technique with other methods in the literature.