EXACT NODAL ANALYSIS OF SWITCHED-CAPACITOR NETWORKS WITH ARBITRARY SWITCHING SEQUENCES AND GENERAL INPUTS - 1.

The recent advances in implementation of analog MOS sampled-data recursive filters, commonly designated as switched-capacitor filters, have established a need for an algorithm that can perform, without restrictions on topology, exact analysis of such networks from a given nodal description. This paper introduces a collection of algorithms that enable exact nodal analysis of switched-capacitor networks. The network is described in terms of the nodal position of the capacitors, controlled sources and switches; a switching sequence, prescribed by the user is associated with every switch in the network. The period of the switching sequence is arbitrary. The time domain solution for arbitrary inputs is given by a simple recursive formula in terms of the appropriate switching matrices. The frequency response evaluation is based on the z-transform of sampled capacitor voltages and can take several forms, depending on the choice of the sampling scheme as well as input voltages (sample-and-hold or continuous waveforms). Both filters and coding networks are represented.