Analysis of switched capacitive networks

An efficient method is presented for the exact analysis of networks containing capacitors, independent and dependent voltage sources, and switches. Both continuous and piecewise-constant arbitrary inputs are handled, and solutions are presented for both transient response and frequency response. The switching pattern can be periodic (with any number of subintervals per period) or nonperiodic. The formulation proposed can be efficiently implemented on the computer and provides for user convenience; only one network topology and the switching schedule must be specified (as opposed to specifying as many topologies as there are switch position combinations). The method is especially well suited for the analysis of the recently introduced switched capacitor filters and charge redistribution circuits.