Non-reciprocal network element that produces an input impedance that is a function of the multiplication-division of its load impedances

摘要

The Impedance Multiplication-Division Operators are made up of non-reciprocal network elements, each of which produces an input impedance that is related to the multiplication-division of its load impedances. The Impedance Multiplication-Division Operator can be implemented in a number of embodiments, such as the Positive Impedance Multiplication-Division Operator which produces a new non-reciprocal (n+1)-port, n>=4, network element which has the distinguishing property that if three 2-terminal impedances, Z₂(s), Z₃(s), and Z₄(s) are connected at ports 2, 3 and 4 of a ₁PIMDOR_2,4³, the input impedance offered by this loaded 4-port at port 1 is Z₍₁₎(s)=Z₂^-1(s)Z₃(s)Z₄^-1(s).