Name
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. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/TAC.2004.834119 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
AWGN channels,control system synthesis,feedback,optimal control,stability,telecommunication control,Bode sensitivity integral formula,Gaussian channel,analog communication channel,control-oriented feedback communication,feedback control systems,feedback stabilization,networked systems,Feedback capacity,fundamental limits on communication and control,networked systems | Information theory,Broadcasting,Optimal control,Upper and lower bounds,Control theory,Communication theory,Communication channel,Equivalence (measure theory),Analog signal,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 9 | 0018-9286 |
Citations | PageRank | References |
159 | 8.36 | 18 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicola Elia | 1 | 198 | 14.29 |