Transient signals on transmission lines by Andrew Peterson, Gregory Durgin
By Andrew Peterson, Gregory Durgin
This lecture presents an creation to transmission line results within the time area. basics together with time of flight, impedance discontinuities, right termination schemes, nonlinear and reactive so much, and crosstalk are thought of. Required prerequisite wisdom is restricted to standard circuit idea. the cloth is meant to complement regular textbooks to be used with undergraduate scholars in electric engineering or desktop engineering. The contents also needs to be of price to practising engineers with pursuits in sign integrity and high-speed electronic layout. desk of Contents: creation / answer of the Transmission Line Equations / DC indications on a Resistively Loaded Transmission Line / Termination Schemes / an identical Circuits, Cascaded strains, and Fan-Outs / Initially-Charged Transmission traces / Finite period Pulses on Transmission traces / Transmission strains with Reactive Terminations / strains with Nonlinear rather a lot / Crosstalk on Weakly Coupled Transmission traces
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Sample text
Your goal is to redesign this system to eliminate reflections and minimize power dissipation. (a) Develop a reflection diagram for the initial system described above. (b) Add appropriate resistors to the input end and load end of the transmission line in order to eliminate reflections at both ends. What are the values for these resistors? How much power is dissipated when the line is fully charged? What is the major problem with the resulting design? (c) Use an appropriate matching resistor only at the load end of the transmission line to eliminate reflections at the load.
This is the same as using ordinary circuit theory with the transmission line treated as electrically short wires. In other situations, however, the effects are more severe. 5, which shows two logic gates connected by a trace of some sort that we will model as a transmission line with Z0 = 50 W and time delay T. 6 shows the equivalent problem, now in a form that should look familiar to the readers. 7 shows a portion of the reflection diagram constructed for the case where the driver turns on. The severe mismatches at both ends of the line combine to yield a slowly converging steady-state result in this situation.
7 Consider a logic circuit consisting of two inverters connected through a transmission line. 5-V DC source, a series resistor with RG = 10 W, and a switch. The receiver inverter acts as a load of RL = 1 kW. The transmission line has Z0 = 50 W, and a one-way transit time delay of T = 1 ns. The receiver inverter gate is triggered when the load voltage reaches 2 V. Your goal is to redesign this system to eliminate reflections and minimize power dissipation. (a) Develop a reflection diagram for the initial system described above.