Automatic symbolic analysis of SC networks using a modified nodal approach

This paper presents a symbolic analysis of Switched-Capacitor (SC) circuits in the z-domain using Modified Nodal Approach (MNA). We have selected the MNA method as one of the widely established approaches in circuit analysis. The analyses are performed using SymsimC symbolic simulator which also enables s-domain network analysis. Macromodels of various SC-basic building blocks are utilized to decrease the number of equations describing the circuit which in turn relaxes the analysis. The results of simulations are demonstrated on a benchmark example of an SC-network that was frequently used in previous papers. The new feature imposed with this work is the examination of the influence of finite gain and bandwidth of operational amplifiers on the circuit's behaviour. The obtained results could serve as a valuable aid to the designer in the assessment of designed circuit performance.