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This example, and the ensuing discussion of termination schemes, has been repeated from Ref. [1]. 5. Clearly, the severe mismatches in the previous example can prevent a high-performance digital circuit from operating properly. How can these mismatches be eliminated or reduced so that they do not detrimentally affect the performance of a system? The process of eliminating these reflections is known as matching (or impedance matching) the line, and there are a variety of ways in which it can be accomplished.

3 W could be added at the load end. The effect of these additional resistors is to make both GG and GL vanish, eliminating reflections. 8 shows the resulting system and the reflection diagram. 5 V, half of the generator voltage! Thus, this approach would not always work for digital applications, where the supply voltage might be limited to 5 V or less. ) Alternate matching schemes are possible and might be more practical for the digital application. 9. In the series termination scheme, a series matching resistor is inserted at the generator end of the line, while the load end is left as is.

Do not give purely mathematical answers! � � � � (a) v(z, t) = 100 cos 2p ft − z + 50 sin 2p ft + z � � � � i(z, t) = 5 cos 2p ft − z − 5 sin 2p ft + z (b) v(z, t) = 20 sin (t − 5z) t − 5z i(z, t) = sin(t − 5z) � � � � � z ��2 � (c) v(z, t) = 75 exp − |t − z|2 + 75exp − �t + � 2 � � � � � � z �2 � i(z, t) = exp − |t − z|2 − exp − �t + � 2 • • • • 25 chapter 3 DC Signals on a Resistively Loaded Transmission Line Objectives: Walk through the evolution of a transmission line problem for a line terminated with resistive loads.