ADJOINT NETWORK THEOREM AND FLOATING ELEMENTS IN THE NAM

Abstract

Although the adjoint network theorem preserves all the circuit properties it does not, however, guarantee that the floating property of an element is maintained. In other words, the adjoint of a floating element may not be floating and vice-versa a nonfloating element may have an adjoint floating element as will be explained in this paper. An important and new property of the Nodal Admittance Matrix (NAM) is that it can identify any element as a floating or nonfloating. The four floating basic building blocks including the nullor are tabulated. It is shown that the nullor and the Voltage Mirror (VM)–Current Mirror (CM) pair are self adjoint. The other two floating elements namely Nullator–CM pair and the VM–Norator pair are adjoint to each other. The NAM of the Op Amp family and Current Conveyor (CCII) family are also given. Two examples are given demonstrating the generation of two families of CCII filters from two known two-CCII filter circuits with demonstration of the floatation property in each of the two filters. Although the paper has a tutorial nature it also includes new important results.