On optimal policies for control and estimation over a Gaussian relay channel
2013 (English)In: Automatica, ISSN 0005-1098, Vol. 49, no 9, 2892-2897 p.Article in journal (Refereed) Published
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.
Stochastic control, Information theory, Team decision theory, Relay channels
Control Engineering Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-129101DOI: 10.1016/j.automatica.2013.06.011ISI: 000323594200037ScopusID: 2-s2.0-84881476340OAI: oai:DiVA.org:kth-129101DiVA: diva2:650289
QC 201309202013-09-202013-09-192013-09-20Bibliographically approved