Synthesis of reciprocal piecewise-linear n-port resistors

Every reciprocaln-port resistor represented by a continuousn-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.