Explicit formulas for analyzing general switched-capacitor networks

Explicit formulas are derived for analyzing switched-capacitor (SC) networks of the most general type. Using these formulae a simple analysis method is obtained to compute the frequency-domain responses of multiphase SC networks containing real resistors. The formulas presented in this paper make it possible to specify arbitrary switch timing waveforms and to insert arbitrary built-in input and/or output sampling functions. Most of the practical linear SC analysis problems can be solved efficiently by these formulas without special knowledge of the lengthy derivations.