A network solution of the 1-dimensional inverse problem by time-domain reflectometry, part 1

This Part 1 of a projected 2-part study initiates an indepth network study of the inverse problem for 1-dimensional passive, lossless smooth dispersive nonuniform structures. The diagnostic procedure is via time-domain pulse-reflectometry and rests on a new continuous-discrete inversion formula. It is expected that this formula, when used together with the weak convergence principle described in Section V, will lead to a well-posed solution involving a coupled pair of Fredholm integral equations of the second kind.