General analysis of switched capacitor networks

Abstract

The concept of "injected charge" has been applied to switched capacitor networks to transform the network into a equivalent resistive network with memory. Regarding one switch as one branch so as to preserve the network topology, a general matrix network equation is directly constructed from the network, which is suitable for the analysis of sc networks in the time domain. The above equation is expressed with respect to node voltages using a special family of cut-sets. Furthermore, as a result of "node splitting" operation an equivalent approach in the z-domain is enabled. Even though its size is very large, the computational efforts is reduced by a "block LU factorization.