Synthesis of reciprocal piecewise-linear n-port resistors

Every reciprocal
n
-port resistor represented by a continuous
n
-dimensional piecewise-linear function as described in (12) is shown to be realizable by a circuit containing only 2-terminal piecewise-linear resistors and a
(p + q)
-port transformer. An explicit circuit realization is given along with illustrative examples. The necessary and sufficient conditions under which this realization contains only passive elements are also given.