MARKOV CHAIN APPROACH OF DIGITAL FLOW DISTURBANCES ON SUPPLIES VIA HETEROGENEOUS INTEGRATED CIRCUIT SUBSTRATE

C. Gontrand, J.C.N. Perez, P.-J. Viverge, F. Calmon, S. Labiod, S. Latreche, O. Valorge, and P. Mary

Keywords

Heterogeneous circuits, substrate noise, stochastics process

Abstract

An important problem for the designers of complex heterogeneous circuits, combinating digital and analog parts, is to predict the perturbations coming from commutating logical gates, flowing through the substrate to reach some sensitive analog blocks. We present, in this paper, an application of a stochastic model based on Markovian processes; the digital switching activity is modelled as functions defined as Markov Chains. The final goal is to grasp the noise power density of such perturbations. Then formulas are derived for both the spectral lines – discrete part – and the continuous part of this spectral density. As an example, we extract an actual interference signal resulting from the modulation of parasitic-injected waveforms – for instance into some circuit supply – driven by the discrete stochastic process.

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