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Unformatted text preview: 27 Bounce diagrams Last lecture we obtained the implulse-response functions Source matched to line: +- +- f ( t ) Z o I ( z, t ) V ( z, t ) z l Z o I ( z, t ) R L V ( z, t ) = g [ ( t- z v ) + L ( t + z v- 2 l v )] and I ( z, t ) = g Z o [ ( t- z v )- L ( t + z v- 2 l v )] for the voltage and current in the TL circuit shown in the margin where the source is matched to the line so that g = 1 2 circuit response with an arbitrary input f ( t ) is obtained by convolving these with f ( t ) (as shown in Example 1 in last lecture). The impulse-response for V ( z, t ) is depicted in the margin in the form of a bounce diagram , in which z l t g g L 2 l v l v Bounce diagram the trajectories of the impulses constituting the impulse response are plotted, with z axis in the horizontal, and t axis in the vertical extending from top to bottom and coefficients of each impulse noted in the diagram next to the trajectory lines. the blue line sloping down on the top is a depiction of forward propagating impulse g ( t- z v ) , 1 the next line down is the depiction of backward propagating im- pulse g L ( t + z v- 2 l v ) . Bounce diagrams are graphical representations of impulse re- sponse functions derived in TL circuit problems, and are pri- marily used to determine the implulse response functions , rather than the other way around as will be illustrated below....
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This note was uploaded on 07/19/2010 for the course ECE ECE329 taught by Professor Kudeki during the Summer '10 term at University of Illinois at Urbana–Champaign.
- Summer '10