Elements of four‐port matrix theory as required for sc network analysis

Abstract

SUMMARYFour-port matrix theory is the foundation for various useful methods of analysing switched-capacitor networks. Thus, for example, signal-flow graph techniques, the link-two-port concept, and nodal computer analysis methods are based on either the four-port transmission or admittance matrix. In the derivation of these analysis techniques transmission, reverse-transmission, and transfer matrices are often used, but the relationship between them has not yet been clearly formulated for four-port networks. In this paper an attempt at formulation and clarification is made. Furthermore, it is shown that, once the considerable simplifications due to the presence of opamps are taken into account, a simple and elegant method of hand analysis for basic SC circuits using a combination of transmission and transfer matrix parameters results.