University of Illinois Urbana-Champaign

Analysis of Coupled Transmission Lines Using Numerical Inversion of Laplace Transforms

Emura, Hiroyuki

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Description

Title
Analysis of Coupled Transmission Lines Using Numerical Inversion of Laplace Transforms
Author(s)
Emura, Hiroyuki
Contributor(s)
Cangellaris, Andreas
Issue Date
2012-12
Keyword(s)
  • transmission lines
  • transmission line analysis
  • electromagnetic coupling
  • electromagnetic interference
  • crosstalk
  • circuit simulation
  • Laplace transform
Abstract
When a transmission line is in close proximity to another, there usually is undesired electromagnetic interference caused by coupling. This is called crosstalk. Due to crosstalk, signals we receive might be completely different from what we expect. For example, when one is on the phone, he might not be able to hear the person on the other end of the line if the signal is compromised by crosstalk. Therefore, it is vital that we know how they affect each other to ensure that signal integrity is maintained. First, a numerical simulation was performed on two uniform conductor transmission lines in MATLAB in an effort to investigate their interaction in the frequency domain. Then the effects of crosstalk were explored in the time domain when the system is excited by an arbitrary signal that is a function of time. This can be easily done by summing up the reflections. In reality, however, transmission lines are not always uniform. In other words, the per-unit-length parameters vary as functions of position. The best way to characterize non-uniform lines is to approximate them as discretely non-uniform lines. In this case, summing up the reflections is excruciatingly difficult because there will be additional reflections from each discontinuity. In addition, it is impossible to use this method to analyze transmission lines in an inhomogeneous medium because the velocity of propagation would not be constant. To overcome these difficulties, numerical inversion of the frequency response can be used to calculate the transient response. This method allows us to analyze transmission lines terminated with reactive loads.
Type of Resource
text
Language
en
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http://hdl.handle.net/2142/46478

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