By Jerrold Franklin

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Domain response waveform of the output voltage of the line, VL ðtÞ, given the termination impedances, RS and RL , the source voltage waveform, VS ðtÞ, and the properties of the transmission line. If the source and termination impedances are linear, we may alternatively view the transmission-line problem as a linear system having an input VS ðtÞ and an output VL ðtÞ by embedding the terminations and the transmission line into one system, as shown in Fig. 15(b). We first determine the frequency-domain response of the system as shown in Fig.

Transmission Lines in Digital Systems for EMC Practitioners, First Edition. Clayton R. Paul. Ó 2012 John Wiley & Sons, Inc. Published 2012 by John Wiley & Sons, Inc. 1. General configuration of the two-conductor transmission lines to be studied. 1 THE TRANSVERSE ELECTROMAGNETIC MODE OF PROPAGATION AND THE TRANSMISSION-LINE EQUATIONS We consider lossless lines in which the two conductors and the surrounding medium are considered to be lossless. The two conductors are parallel to each other and the z axis and have general cross sections that are uniform along their z-length axis as shown in Fig.

There are two minima at 500 MHz and 1 GHz,where the interconnect line electrical length is l=2 and l, respectively. Above 1 GHz (the last frequency plotted) the pattern replicates, which is a general property of transmission lines. Finally, we investigate the time-domain response of the line where we drive the line with a clock signal of 10 MHz fundamental frequency (a period of 100 ns), an amplitude of 1 V, rise and fall times of 10 ns, and a 50% duty cycle as shown in Fig. 19. It is typical for the rise and fall times of digital waveforms to be chosen to be around 10% of the period T in order to give adequate “setup” and “hold” times.

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