IJPAM: Volume 43, No. 1 (2008)

A LOWER BOUND ON THE PERFORMANCE OF
SIMPLIFIED LINEAR PRECODING FOR VECTORED VDSL

Li Youming$^1$, Amir Leshem$^2$
$^1$Institute of Communication Technology
Ningbo University
Ningbo, 315211, P.R. CHINA
e-mail: liyouming@nbu.edu.cn
$^2$School of Engineering
Bar Ilan University
Ramat-Gan, 52900, ISRAEL
e-mail: leshema@eng.biu.ac.il


Abstract.Mutual interference between lines is the dominant noise in modern DSL systems such as ADSL and VDSL. This mutual interference is termed crosstalk. Next generation VDSL systems will use vector precoding techniques to suppress crosstalk. In recent years many crosstalk cancelation methods based on matrix computation theory have been proposed to cancel crosstalk. However, the large complexity involved in crosstalk cancelation is still the major obstacle in implementing these techniques. In this paper we study a simplified linear precoding scheme for FEXT cancelation in VDSL downstream transmission. Theoretical tight lower bound of the achievable rate based on second order precoding method is derived. This bound together with the lower bound based on first order precoding method allow us to predict the performance of the proposed algorithms on each tone. We end up with testing the theoretical bounds based on both theoretic channels and empirical channels.

Received: July 11, 2007

AMS Subject Classification: 94A14, 94A05

Key Words and Phrases: VDSL, digital subscriber line, vectored transmission, multichannel receivers, crosstalk mitigation, matrix computation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 1