RC transmission line with nonlinear resistance: Large-signal response computation

A lumped component model for a nonlinear RC transmission line is developed with the property that its dc steady-state behavior is the same as that of the RC transmission line itself. In the course of developing the model, it is shown that no loss of generality ensues by assuming the transmission line to have constant capacitance per unit length. The modeling procedure developed is then applied to establish the particular lumped component model, subsequently analyzed, associated with the RC transmission line found in the model of a MOSFET.