Titre du document / Document title
When Bode meets Shannon: Control-oriented feedback communication schemes
Auteur(s) / Author(s)
ELIA Nicola (1) ;
Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)
(1) Department of Electrical and Computer Engineering, Iowa Sate University, Ames, IA 50010, ETATS-UNIS
Résumé / Abstract
In this paper, we show a general equivalence between feedback stabilization through an analog communication channel, and a communication scheme based on feedback which is a generalization of that of Schalkwijk and Kailath. We also show that the achievable transmission rate of the scheme is given by the Bode's sensitivity integral formula, which characterizes a fundamental limitation of causal feedback. Therefore, we can now use the many results and design tools from control theory to design feedback communication schemes providing desired communication rates, and to generate lower bounds on the channel feedback capacity. We consider single user Gaussian channels with memory and memory-less multiuser broadcast, multiple access, and interference channels. In all cases, the results we obtain either achieve the feedback capacity, when this is known, recover known best rates, or provide new best achievable rates.
Revue / Journal Title
IEEE transactions on automatic control
ISSN
0018-9286
CODEN IETAA9
Source / Source
2004, vol. 49, n
o 9, pp. 1421-1603 [Document : 12 p.] (31 ref.), pp. 1477-1488 [12 page(s) (article)]
Langue / Language
Anglais
Editeur / Publisher
Institute of Electrical and Electronics Engineers, New York, NY, ETATS-UNIS
(1963)
(Revue)
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Localisation / Location
INIST-CNRS, Cote INIST : 222 E4, 35400012227402.0050
Nº notice refdoc (ud4) : 16145882
