On Nonlinear Constant-Resistance Networks

It is shown that there exists a class of networks, identical in topology with some of the linear constant-resistance structures developed by Zobel, which may be iterative with respect to a linear constant resistance but which posses nonlinear and frequency-dependent insertion transfer functions. Each network is based on two subnetworks containing nonlinear resistive and reactive elements, these sub-networks having voltage/current characteristics forming an inverse pair. The constant-resistance property is shown to depend on the nature of the input voltage as well as on the characteristics of the nonlinear subnetworks.