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Witsenhausen's counterexample as Assisted Interference Suppression

Witsenhausen's counterexample as Assisted Interference Suppression Motivated by the existence of an implicit channel in Witsenhausen's counterexample, we formulate a vector extension that can be viewed as a toy wireless communication problem "Assisted Interference Suppression" (AIS). Information-theoretic lower and upper bounds (based respectively on ideas from rate-distortion theory and dirty-paper coding) are then derived on the optimal cost and the asymptotic optimal cost is characterised to within a factor of 2 regardless of the problem parameters. Restricted to the scalar problem, it is shown that the new lower bound can be better than Witsenhausen's bound by an arbitrarily large factor. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Systems, Control and Communications Inderscience Publishers

Witsenhausen's counterexample as Assisted Interference Suppression

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1755-9340
eISSN
1755-9359
DOI
10.1504/IJSCC.2010.031164
Publisher site
See Article on Publisher Site

Abstract

Motivated by the existence of an implicit channel in Witsenhausen's counterexample, we formulate a vector extension that can be viewed as a toy wireless communication problem "Assisted Interference Suppression" (AIS). Information-theoretic lower and upper bounds (based respectively on ideas from rate-distortion theory and dirty-paper coding) are then derived on the optimal cost and the asymptotic optimal cost is characterised to within a factor of 2 regardless of the problem parameters. Restricted to the scalar problem, it is shown that the new lower bound can be better than Witsenhausen's bound by an arbitrarily large factor.

Journal

International Journal of Systems, Control and CommunicationsInderscience Publishers

Published: Jan 1, 2010

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