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  • Research Article
  • Open Access

A Dual Decomposition Approach to Partial Crosstalk Cancelation in a Multiuser DMT-xDSL Environment

  • 1Email author,
  • 1,
  • 1,
  • 2 and
  • 2
EURASIP Journal on Advances in Signal Processing20072007:037963

  • Received: 21 September 2006
  • Accepted: 14 May 2007
  • Published:


In modern DSL systems, far-end crosstalk is a major source of performance degradation. Crosstalk cancelation schemes have been proposed to mitigate the effect of crosstalk. However, the complexity of crosstalk cancelation grows with the square of the number of lines in the binder. Fortunately, most of the crosstalk originates from a limited number of lines and, for DMT-based xDSL systems, on a limited number of tones. As a result, a fraction of the complexity of full crosstalk cancelation suffices to cancel most of the crosstalk. The challenge is then to determine which crosstalk to cancel on which tones, given a complexity constraint. This paper presents an algorithm based on a dual decomposition to optimally solve this problem. The proposed algorithm naturally incorporates rate constraints and the complexity of the algorithm compares favorably to a known resource allocation algorithm, where a multiuser extension is made to incorporate the rate constraints.


  • Information Technology
  • Resource Allocation
  • Quantum Information
  • Performance Degradation
  • Allocation Algorithm

Authors’ Affiliations

Department of Electrical Engineering, Katholieke Universiteit Leuven, Leuven, 3001, Belgium
DSL Experts Team, Alcatel-Lucent, Antwerpen, 2018, Belgium


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© Jan Vangorp et al. 2007

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.