Symbolic Analysis Of Switched Capacitor Circuits And Applications To Fault Modeling And Fast Computation Of Sigma-delta ADC SNR

Switched-Capacitor (SC) circuit is a very important kind of analog cir-cuit building blocks, and can be used to implement high-resolution Sigma-Delta ADCs. While due to its discrtee-time nature, it is very hard to do fre-quencyanalysis. Inthisthesis,byinroducingthesymbolicequivalentmodelforswitchedcapacitor,andconvertingthediscrete-timeSCcircuitintocontinuous-time linear analog circuit, we have developed an efcient symbolic analysismethod based on GPDD for analyzing SC circuit in z-domain.We have applied the symbolic analysis method to solving two problems.Thefrstproblemisonsymbolicswitched-capacitorcircuitfaultmodeling. Af-terimplementing limit evaluationon GPDD, wecan model a switchwith stuck-open or stuck-short fault as a symbol with zero/infnity value, then the faultyresponse is just the result of evaluating GPDD with some symbols as zero/in-fnity.Then we apply the symbolic analysis method to fast computation of SNRof switched-capacitor Sigma-Delta modulators. On the basis of symbolic anal-ysis of SC circuit, we achieve to derive the symbolic loop transfer function ofSC Sigma-Dleta ADCs. And by applying Taylor approximation, we implementfastSignal-to-NoiseRatio(SNR)computation,andbuilduptherelationshipbe-tween SNR and circuit parameters, with which we can do variational analysisandoptimizationexploration. Inthisthesis, someresultsofvariationalanalysis and Simulated-Annealing (SA) based optimization are provided.