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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, no 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)

Mots-clés anglais / English Keywords

Bode integral

;

Gaussian process

;

Lower bound

;

Feedback regulation

;

Transmission rate

;

Control synthesis

;

Broadcasting

;

Multiple channel

;

Multiple access

;

Shannon theory

;

Communication theory

;

Communication network

;

Mots-clés français / French Keywords

Intégrale Bode

;

Canal communication analogue

;

Processus Gauss

;

Borne inférieure

;

Rétroaction

;

Taux transmission

;

Synthèse commande

;

Radiodiffusion

;

Canal multiple

;

Accès multiple

;

Théorie Shannon

;

Théorie communication

;

Réseau communication

;

Mots-clés espagnols / Spanish Keywords

Integral Bode

;

Proceso Gauss

;

Cota inferior

;

Retroacción

;

Relación transmisión

;

Síntesis control

;

Radiodifusión

;

Canal múltiple

;

Acceso múltiple

;

Teoría Shannon

;

Teoría comunicación

;

Red de comunicación

;

Localisation / Location

INIST-CNRS, Cote INIST : 222 E4, 35400012227402.0050

Nº notice refdoc (ud4) : 16145882



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