EURASIP Journal on Applied Signal Processing
Volume 2006 (2006), Article ID 43154, 12 pages
doi:10.1155/ASP/2006/43154
Iterative Refinement Methods for Time-Domain Equalizer Design
1Silicon Laboratories, Corporate Headquarters, 7000 West William Cannon Drive, Austin 78735, TX, USA
2Schlumberger Sugar Land Product Center, 110 Schlumberger Drive, Sugar Land 77478, TX, USA
3Schlumberger Austin Systems Center, 8311 N FM 620 Road, Austin 78726, TX, USA
4TICOM Geomatics, 9130 Jollyville Road, Austin 78759, TX, USA
5Department of Electrical and Computer Engineering, The University of Texas, Austin 78712-1084, TX, USA
Received 1 December 2004; Revised 23 May 2005; Accepted 2 August 2005
Copyright © 2006 Güner Arslan et al. 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.
Abstract
Commonly used time domain equalizer (TEQ) design methods have been
recently unified as an optimization problem involving an objective
function in the form of a Rayleigh quotient. The direct
generalized eigenvalue solution relies on matrix decompositions.
To reduce implementation complexity, we propose an iterative
refinement approach in which the TEQ length starts at two taps and
increases by one tap at each iteration. Each iteration involves
matrix-vector multiplications and vector additions with 2×2 matrices and two-element vectors. At each iteration, the
optimization of the objective function either improves or the
approach terminates. The iterative refinement approach provides a
range of communication performance versus implementation
complexity tradeoffs for any TEQ method that fits the Rayleigh
quotient framework. We apply the proposed approach to three such
TEQ design methods: maximum shortening signal-to-noise ratio,
minimum intersymbol interference, and minimum delay spread.