A Systems Approach to Channel Equalization

S. Venkatesh, Petros G Voulgaris, C. N. Hadjicostis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we present a control theoretic frame-work for channel equalization. Channel equalization methods are used to mitigate the effects of inter-symbol interference (ISI). Traditional methods, maximize the signal to noise ratio (SNR) in an attempt to convert a bandlimited ISI channel into a memoryless AWGN channel, which is then followed by symbol detection. Nevertheless, for the purpose of reliable symbol detection both problems - SNR maximization and AWGN channel conversion - are not reflective of the error probability and lead typically to suboptimal solutions. Our viewpoint in this paper is to directly characterize the overall probability of symbol error by means of a Chernoff type bound for a given channel/receiver combination. The main idea behind our technique is to exploit the randomness of transmitted symbols to average out ISI rather than invert the channel dynamics. The problem reduces to choosing a receiver that minimizes the exponent in the Chernoff bound. This problem is shown to reduce to a mixed ℓ1/ℓ problem whose solution can be completely characterized. We comment on how the solution methodology can have implications for a fundamental understanding of the tradeoff between channel uncertainty and bit error probability, a situation commonly encountered in wireless communications.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages3155-3160
Number of pages6
DOIs
StatePublished - Dec 1 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume3
ISSN (Print)0191-2216

Other

Other42nd IEEE Conference on Decision and Control
CountryUnited States
CityMaui, HI
Period12/9/0312/12/03

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Keywords

  • Discrete data reconstruction
  • Equalization
  • Large deviations
  • Worst case
  • ℓ/ℓ optimality

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Venkatesh, S., Voulgaris, P. G., & Hadjicostis, C. N. (2003). A Systems Approach to Channel Equalization. In Proceedings of the IEEE Conference on Decision and Control (pp. 3155-3160). (Proceedings of the IEEE Conference on Decision and Control; Vol. 3). https://doi.org/10.1109/CDC.2003.1273108