On the role of feedback in the design of perfectly reconstructing equalizers

Rouzbeh Touri, Petros G. Voulgaris, Christoforos N. Hadjicostis

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

Abstract

In this paper we consider the transmission of discrete data via a communication channel that is subject to (additive) noise with a known upper bound on its magnitude but otherwise completely unrestricted behavior. We are interested in the characterization of general conditions that allow perfect reconstruction of the discrete data (perhaps with some delay) under all possible realizations of channel noise and under a limit on transmission power. In particular, we investigate how linear preprocessing of the data and/or linear feedback from the receiver can be employed to aid perfect reconstruction, and we provide necessary conditions for improvements in perfect reconstruction in terms of ℓ1 norms of appropriate maps. Finally, we show that perfect reconstruction can be improved with feedback only if the feedback processing contains unstable poles.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages2707-2712
Number of pages6
DOIs
StatePublished - Dec 1 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

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

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

ASJC Scopus subject areas

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

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