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Computationally efficient approximated matrix inversion with application to crosstalk precoding in downstream VDSL

Published: 12 August 2007 Publication History

Abstract

An algorithm for approximating crosstalk channel matrix inversion is proposed in this paper. The algorithm decomposes the crosstalk channel matrix into a tridiagonal matrix plus a residual matrix composed of the remaining elements. By using diagonal dominance property, the inverse of the crosstalk channel matrix is approximated. Based on these results we propose a novel precoding method with lower computational complexity for canceling the crosstalk in downstream VDSL. Computer simulation results based on measured channel data are provided to verify the efficiency of the proposed algorithm.

References

[1]
G. Ginis and J. Cioffi, "Vectored transmission for digital subscriber line systems," IEEE Journal on Selected Areas in Communications, vol. 20, pp. 1085--1104, June 2002.
[2]
E. V. d. B. R. Cendrillon, G. Ginis and M. Moonen, "A near-optimal linear crosstalk canceler for upstream VDSL," IEEE Trans. Signal Processing, vol. 54, pp. 3136--3146, Aug. 2006.
[3]
A. Leshem and L. Youming, "Low complexity coordinated fext cancellation for VDSL," in IEEE Conf. Electronics, Circuits and Systems, Israel, pp. 338--341, Nov. 2004.
[4]
A. Leshem and L. Youming, "a low complexity linear precoding technique for next generation VDSL downstream transmission over copper," in IEEE Trans. Signal Processing (accepted for publication).

Cited By

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  • (2008)Time domain adaptive processing for multi-user crosstalk cancellation2008 51st Midwest Symposium on Circuits and Systems10.1109/MWSCAS.2008.4616796(302-305)Online publication date: Aug-2008
  • (2008)Training based crosstalk cancellation with updating implementation2008 9th International Conference on Signal Processing10.1109/ICOSP.2008.4697414(1487-1490)Online publication date: Oct-2008

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  1. Computationally efficient approximated matrix inversion with application to crosstalk precoding in downstream VDSL

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    cover image ACM Conferences
    IWCMC '07: Proceedings of the 2007 international conference on Wireless communications and mobile computing
    August 2007
    716 pages
    ISBN:9781595936950
    DOI:10.1145/1280940
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 12 August 2007

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    Author Tags

    1. crosstalk cancellation
    2. digital subscriber line
    3. matrix splitting
    4. vectoring

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    • (2008)Time domain adaptive processing for multi-user crosstalk cancellation2008 51st Midwest Symposium on Circuits and Systems10.1109/MWSCAS.2008.4616796(302-305)Online publication date: Aug-2008
    • (2008)Training based crosstalk cancellation with updating implementation2008 9th International Conference on Signal Processing10.1109/ICOSP.2008.4697414(1487-1490)Online publication date: Oct-2008

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