New network theorems for current-mode circuit design

A variety of current-mode signal processing circuits can be realized in the form of a passive circuit connected to several current conveyors. The network may have multiple current excitations and outputs. If the leads between the passive network and a nullator in the nullor representation of a CCII-are interchanged, the transfer function of the network will change accordingly. In this paper, four new theorems are presented and proved for obtaining the transfer functions after the interchange is performed directly from the original network. It is shown how to obtain new networks with transfer functions that are the inverse of those of the original networks as well as transfer functions that are quotients of those of the original networks. An example is provided which illustrates all four theorems