Transient Analysis of Frequency-Dependent Transmission Line Systems Terminated with Nonlinear Loads

Abstract

A new method for analyzing frequency-dependent transmission line systems with nonlinear terminations is presented. The generalized scattering matrix formulation is used as the foundation for the time domain iteration scheme. Compared to the admittance matrix approach proposed in a previous paper, it has the advantage of shorter impulse response which leads to smaller computer memory requirement and faster computation time. Examples of a microstrip line loaded with nonlinear elements are given to illustrate the efficiency of this method.

Dynamics of modulated waves in a lossy modified Noguchi electrical transmission line

“…where K is a real constant, a(τ ), α 0 (τ ), β 0 (τ ), and ϕ(τ ) are a real function of variable τ to be determined , and u is a real function of variable X. Inserting ansatz (9) into Eq. 6and separating real and imaginary parts yield…”

“…Because of its wide significance in a great variety of physical systems, the propagation of modulated waves has been the subject of considerable interest for many years, as, for example, in nonlinear optics [1][2][3][4][5]. On the other hand, discrete electrical transmission lines are very convenient tools to study the wave propagation in one-dimensional (1D) nonlinear dispersive media [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. They have been applied to the study of thin-film and diffusion resistors, capacitors, and conductors and to the evaluation of undesirable interaction between different components of integrated circuits; moreover, discrete electrical transmission lines can be successfully used to simulate the characteristics of some active microcircuit elements, in particular, the field-effect transistors [6,7].…”

“…In particular, lossy transmission lines with nonlinear loads are very important for the study of and the design of high-speed electronic circuits [8]. Owing to the increasing frequencies and bit rates, one has to take the transmission line effects of the interconnections into account, for example, signaldelay, reflexion, attenuation, and cross talk [9]. Most recently, nonlinear transmission lines have proven to be of great practical use in extremely wide band (frequencies from dc to 100 GHz) focusing and shaping of signals (that is, changing certain features of incoming signals, such as the frequency content, pulse width, and amplitude), which is usually a hard problem [11].…”

Influence of Measured Scattering Parameters on the Convolution Simulation of Nonlinear Loaded High-Speed Microstrip Interconnects

“…The convolution was applied to time-domain variables obtained from the Fourier transform of frequency-domain data. A decade later, Yang et al and Gu et al [3,4] presented time-domain analyses for microstrip transmission line systems (single and coupled) by using the convolution theory. By the same time, Djordjevic et al [5,6] analyzed time-domain responses of multiconductor transmission lines by means also of convolution.…”