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Determination of the Propagation Constant From Single-Ended Line Test Data

Fertner, Antoni; Cederholm, Daniel and Börjesson, Per Ola LU (2012) In IEEE Transactions on Instrumentation and Measurement 61(9). p.2422-2427
Abstract
This paper presents a numerical method, here, called recursive obliquely moving approximation (ROMA), for determining the propagation constant from single-ended line test measurements. The method is based on deriving an equation binding the input impedance of the open-ended transmission line and the characteristic impedance with the line propagation constant. The algorithm solving this equation relies on a recursive Newton-Raphson-type procedure. Initial guesses are generated using oblique least squares on the complex plane for the extrapolation of previous data while moving toward higher frequencies. For residential access, the loops often consist of multiple sections. In those scenarios, the ROMA algorithm gives a less accurate and more... (More)
This paper presents a numerical method, here, called recursive obliquely moving approximation (ROMA), for determining the propagation constant from single-ended line test measurements. The method is based on deriving an equation binding the input impedance of the open-ended transmission line and the characteristic impedance with the line propagation constant. The algorithm solving this equation relies on a recursive Newton-Raphson-type procedure. Initial guesses are generated using oblique least squares on the complex plane for the extrapolation of previous data while moving toward higher frequencies. For residential access, the loops often consist of multiple sections. In those scenarios, the ROMA algorithm gives a less accurate and more difficult-to-interpret estimate of the propagation constant than for single-segment loops. Nevertheless, it still enables a quick and credible estimation of the loop capacity. ROMA provides these estimates without a priori information; it is insensitive to local solutions, and it has low numerical complexity. Moreover, for single-segment loops, common in, e. g., mobile backhaul applications, the algorithm gives a highly accurate estimation of the propagation constant. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Broadband communication, digital subscriber line (DSL), loop, qualification, twisted-pair modeling
in
IEEE Transactions on Instrumentation and Measurement
volume
61
issue
9
pages
2422 - 2427
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000307790100011
  • scopus:84865270695
ISSN
0018-9456
DOI
10.1109/TIM.2012.2188658
language
English
LU publication?
yes
id
4ee5d956-0a0a-4989-ad37-f4f5f939a532 (old id 3147705)
date added to LUP
2012-10-30 13:53:13
date last changed
2017-01-01 06:10:03
@article{4ee5d956-0a0a-4989-ad37-f4f5f939a532,
  abstract     = {This paper presents a numerical method, here, called recursive obliquely moving approximation (ROMA), for determining the propagation constant from single-ended line test measurements. The method is based on deriving an equation binding the input impedance of the open-ended transmission line and the characteristic impedance with the line propagation constant. The algorithm solving this equation relies on a recursive Newton-Raphson-type procedure. Initial guesses are generated using oblique least squares on the complex plane for the extrapolation of previous data while moving toward higher frequencies. For residential access, the loops often consist of multiple sections. In those scenarios, the ROMA algorithm gives a less accurate and more difficult-to-interpret estimate of the propagation constant than for single-segment loops. Nevertheless, it still enables a quick and credible estimation of the loop capacity. ROMA provides these estimates without a priori information; it is insensitive to local solutions, and it has low numerical complexity. Moreover, for single-segment loops, common in, e. g., mobile backhaul applications, the algorithm gives a highly accurate estimation of the propagation constant.},
  author       = {Fertner, Antoni and Cederholm, Daniel and Börjesson, Per Ola},
  issn         = {0018-9456},
  keyword      = {Broadband communication,digital subscriber line (DSL),loop,qualification,twisted-pair modeling},
  language     = {eng},
  number       = {9},
  pages        = {2422--2427},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Instrumentation and Measurement},
  title        = {Determination of the Propagation Constant From Single-Ended Line Test Data},
  url          = {http://dx.doi.org/10.1109/TIM.2012.2188658},
  volume       = {61},
  year         = {2012},
}