Computer Science – Information Theory
Scientific paper
2010-06-28
Computer Science
Information Theory
Submitted to IEEE Transactions on Automatic Control
Scientific paper
Feedback communication is studied from a control-theoretic perspective, mapping the communication problem to a control problem in which the control signal is received through the same noisy channel as in the communication problem, and the (nonlinear and time-varying) dynamics of the system determine a subclass of encoders available at the transmitter. The MMSE capacity is defined to be the supremum exponential decay rate of the mean square decoding error. This is upper bounded by the information-theoretic feedback capacity, which is the supremum of the achievable rates. A sufficient condition is provided under which the upper bound holds with equality. For the special class of stationary Gaussian channels, a simple application of Bode's integral formula shows that the feedback capacity, recently characterized by Kim, is equal to the maximum instability that can be tolerated by the controller under a given power constraint. Finally, the control mapping is generalized to the N-sender AWGN multiple access channel. It is shown that Kramer's code for this channel, which is known to be sum rate optimal in the class of generalized linear feedback codes, can be obtained by solving a linear quadratic Gaussian control problem.
Ardestanizadeh Ehsan
Franceschetti Massimo
No associations
LandOfFree
Control-theoretic Approach to Communication with Feedback: Fundamental Limits and Code Design does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Control-theoretic Approach to Communication with Feedback: Fundamental Limits and Code Design, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Control-theoretic Approach to Communication with Feedback: Fundamental Limits and Code Design will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-615859