Non-reciprocal network element that produces an input impedance that is a product of its load impedances

摘要

The Impedance Product Operator can be implemented in a number of embodiments to produce a new non-reciprocal (n+1)-port network element with the distinguishing property that if n 2-termial impedances, Z₂, . . . Z_n+1 are connected at ports 2, . . . , n+1 of an Impedance Product Operator, the input impedance offered by this loaded multi-port at port 1 is $Z_{\left(1\right)}=\prod _{k=2}^{n+1}{Z}_k.$ As a single network element, the Impedance Product Operator offers a direct yet general mechanism for multiplication of 2-terminal impedance functions. This network element allows simpler and more direct synthesis of driving point impedance functions.