A Numerical Methodfor aFull-Wave Electromagnetic Analysis ofSystems on Chip

Inthecontext ofRF andhigh-speed circuits, Systems On ChipwithAnalog andMixedSignals (SOC- AMS),interconnect hasbecominga dominantfactor in determining circuit performance andreliability indeep submicron designs. Transmission line properties ofon-chip wiring needtobetakeninto account duetothegreat lengths andfastrisetimesencountered. Coupling noisebetween adjacent interconnects canalsocausecatastrophic effects on thelogical functionality andlong-term reliability ofaVLSI circuit. Withthesetrends, theelectrical phenomenathat havetobeinvestigated aregoverned bytheelectromagnetic theory. However, it's impossible toproceed toacomplete SOC -AMS analysis witha fullwaveelectromagnetic numerical tool,duetothelargescaleintegration. As interconnects aretypically ofverylarge size andhigh-order, model-order reduction becomes necessary forefficient SOC modeling, simulation, designand optimization. In this communication, a new methodbasedon numerical inversion ofLaplace transform andona discrete model- reduction technique ispresented forsimulating peak crosstalk noise problems foundinhighspeeddigital circuits andSOC-AMS.Themethod, particularly efficient andeasy to be implemented in a program,isusefulforan electromagnetic simulation ofacomplete system.