Open Access

Simple Statistical Analysis of the Impact of Some Nonidealities in Downstream VDSL with Linear Precoding

  • Marco Baldi1,
  • Franco Chiaraluce1Email author,
  • Roberto Garello2,
  • Marco Polano3 and
  • Marcello Valentini3
EURASIP Journal on Advances in Signal Processing20102010:454871

Received: 1 June 2010

Accepted: 16 September 2010

Published: 22 September 2010


This paper considers a VDSL downstream system where crosstalk is compensated by linear precoding. Starting from a recently introduced mathematical model for FEXT channels, simple analytical methods are derived for evaluating the average bit rates achievable, taking into account three of the most important nonidealities. First, absolute and relative estimation errors in the crosstalk coefficients are discussed, and explicit formulas are obtained to express their impact. A simple approach is presented for computing the maximum line length where linear precoding overcomes the noncoordinate system. Then, the effect of out-of-domain crosstalk is analyzed. Finally, quantization errors in precoding coefficients are considered. We show that by the assumption of a midtread quantization law with different thresholds, a relatively small number of quantization bits is sufficient, thus reducing the implementation complexity. The presented formulas allow to quantify the impact of practical impairments and give a useful tool to design engineers and service providers to have a first estimation of the performance achievable in a specified scenario.


Service ProviderQuantum InformationExplicit FormulaSimple ApproachLine Length

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Authors’ Affiliations

Dipartimento di Ingegneria Biomedica, Elettronica e Telecomunicazioni, Università Politecnica delle Marche, Ancona, Italy
Dipartimento di Elettronica, Politecnico di Torino, Torino, Italy
Telecom Italia, Torino, Italy


© Marco Baldi et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.