Homogenization technique for transmission lines with random permittivity profiles

Juan S. Ochoa, Andreas C Cangellaris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper proposes a homogenization model for transmission lines with nonuniformity manifested in the random permittivity profile of their surrounding medium. The statistics of the permittivity profile are defined in terms of a finite series of correlated random variables corresponding to discrete samples taken along the longitudinal dimension of the line. Principal Component Analysis is employed to reduce the dimensionality of the random space that characterizes the uncertainty of the structure. Next, Polynomial Chaos expansion is used to capture the dependencies of the resulting homogeneous effective permittivity with the reduced-order random parameters that define the variability. Such construction is performed efficiently with the use of a Sparse Grid integration technique. In particular, the statistics of the propagation time of a wave traveling in the uncertain medium are calculated with the proposed homogenization model and validated with Monte Carlo simulations.

Original languageEnglish (US)
Title of host publication2013 17th IEEE Workshop on Signal and Power Integrity, SPI 2013
DOIs
StatePublished - Aug 20 2013
Event2013 17th IEEE Workshop on Signal and Power Integrity, SPI 2013 - Paris, France
Duration: May 12 2013May 15 2013

Publication series

Name2013 17th IEEE Workshop on Signal and Power Integrity, SPI 2013

Other

Other2013 17th IEEE Workshop on Signal and Power Integrity, SPI 2013
CountryFrance
CityParis
Period5/12/135/15/13

ASJC Scopus subject areas

  • Signal Processing

Fingerprint Dive into the research topics of 'Homogenization technique for transmission lines with random permittivity profiles'. Together they form a unique fingerprint.

  • Cite this

    Ochoa, J. S., & Cangellaris, A. C. (2013). Homogenization technique for transmission lines with random permittivity profiles. In 2013 17th IEEE Workshop on Signal and Power Integrity, SPI 2013 [6558336] (2013 17th IEEE Workshop on Signal and Power Integrity, SPI 2013). https://doi.org/10.1109/SaPIW.2013.6558336