NODAL ANALYSIS OF SWITCHED-CAPACITOR NETWORKS

Switchedcapacitor (SC) networks comprise capacitors interconnected by an array of periodically operated switches. Such networks are particularly attractive in light of the high circuit density possible with MOS integrated circuit technology and hybrid integrated circuits using thinfilm and silicon technology. The paper describes the analysis of SC networks by using nodal charge equations. It is shown that SC networks are timevariant sampled-data networks, which can be viewed as tandem connected fourports in the zdomain. One pair of ports is viewed as a signal path corresponding to the even time slots, the other pair of ports as a path corresponding to the odd time slots of the periodically operated switches. In a subsequent publication the authors will show how fourport equivalent circuits in the zdomain of six basic building blocks can be used for the description of any SC network. This method allows the direct use of traditional network analysis tools like the transmission matrix for deriving transfer functions. The method ultimately leads to a twoport analysis of SC networks in which conventional twoport theory can be applied. © 1979 IEEE