A Review of Simple Models for the Uniformly Distributed RC Network

Some simple models for the uniformly distributed RC network by recurrent ladder with 1–20 sections are examined by analysis and simulation, with respect to the frequency and unit-step responses. The corresponding bandwidths, delay times and rise times are tabulated. The latter two parameters are compared with what one obtains from Elmore’s definitions and are also included in the Table. Further, the rise-time bandwidth products are given in the Table to validate the constancy of this parameter and the good approximation obtained from Elmore’s definitions. Two other simple models, proposed in the literature are also examined, along with their applications, and their relevant parameters are recorded in the Table. Further, the open-circuit and the short-circuit input impedance expressions of each model are found and plotted for comparing with those of the actual distributed network.