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On Optimal Policies for Control and Estimation Over a Gaussian Relay Channel
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-0036-9049
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-7926-5081
2011 (English)In: 2011 Conference on Decision and Control, 2011, 5720-5725 p.Conference paper, Published paper (Refereed)
Abstract [en]

The problem of causal transmission of a memoryless Gaussian source over a two-hop memoryless Gaussianrelay channel is considered. The source and the relay encodershave average transmit power constraints, and the performancecriterion is mean squared distortion. The main contributionof this paper is to show that unlike in the case of a point-topoint channel, linear encoding schemes are not optimal over atwo-hop relay channel in general, extending the sub-optimalityresults which are known for more than two hops. In some cases,simple three level quantization policies employed at the sourceand at the relay can outperform the best linear policies. Furthera lower bound on the distortion is derived and it is shown thatthe distortion bounds derived using cut-set arguments are nottight in general for sensor networks.

Place, publisher, year, edition, pages
2011. 5720-5725 p.
Keyword [en]
FEEDBACK, STABILIZATION, SYSTEMS, SHANNON
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-52389DOI: 10.1109/CDC.2011.6160664ISI: 000303506206056Scopus ID: 2-s2.0-84860686754OAI: oai:DiVA.org:kth-52389DiVA: diva2:484599
Conference
Conference on Decision and Control (CDC) DEC 12-15, 2011. ORLANDO FLORIDA, USA.
Funder
ICT - The Next Generation
Note

QC 20111219

Available from: 2011-12-15 Created: 2011-12-15 Last updated: 2013-06-12Bibliographically approved

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Oechtering, Tobias J.Skoglund, Mikael

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