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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
2013 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 49, no 9, 2892-2897 p.Article in journal (Refereed) Published
Abstract [en]

The problem of causal transmission of a memoryless Gaussian source over a two-hop memoryless Gaussian relay channel is considered. The source and the relay encoders have average transmit power constraints, and the performance criterion is mean-squared distortion. The main contribution of this paper is to show that unlike the case of a point-to-point scalar Gaussian channel, linear encoding schemes are not optimal over a two-hop relay channel in general, extending the sub-optimality results which are known for more than three hops. In some cases, simple three-level quantization policies employed at the source and at the relay can outperform the best linear policies. Further a lower bound on the distortion is derived and it is shown that the distortion bounds derived using cut-set arguments are not tight in general for sensor networks.

Place, publisher, year, edition, pages
2013. Vol. 49, no 9, 2892-2897 p.
Keyword [en]
Stochastic control, Information theory, Team decision theory, Relay channels
National Category
Control Engineering Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-129101DOI: 10.1016/j.automatica.2013.06.011ISI: 000323594200037Scopus ID: 2-s2.0-84881476340OAI: oai:DiVA.org:kth-129101DiVA: diva2:650289
Note

QC 20130920

Available from: 2013-09-20 Created: 2013-09-19 Last updated: 2017-12-06Bibliographically approved

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Oechtering, Tobias J.Skoglund, Mikael

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