The application of interchange theorems to linear current-mode active networks

In this paper, four interchange theorems are stated and proved for a more general network configuration than has been previously employed. The new network configuration is more general in that points of application of the (current) excitations are not limited. The generalized network contains multiple nullors, multiple outputs and multiple excitations. The number of excitations may be greater than, equal to, or less than the number of nullors. Four theorems are provided which describe the transfer functions obtained when the leads of any one of the nullors in a network are interchanged in terms of the transfer functions of the unmodified network. The results are applied to an example network. These theorems serve as useful tools in the design and analysis of linear, current-mode signal processing circuits.