Time-domain scattering parameters of an exponential transmission line

The scattering parameters of an exponential line are studied in detail in both the frequency and time domains. By taking the causality condition into consideration, the time-domain scattering parameters are cast in a rapid-convergence power series. Each term of the power series represents a signal component generated by the exponential line when the signal travels a round trip. The time-domain scattering parameters of an exponential line lay the foundation for studies of interaction between nonuniform lines and linear/nonlinear loads, and pulse waveform alteration in the time domain.>