51,040 research outputs found
Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels with Feedback
The feedback sum-rate capacity is established for the symmetric -user
Gaussian multiple-access channel (GMAC). The main contribution is a converse
bound that combines the dependence-balance argument of Hekstra and Willems
(1989) with a variant of the factorization of a convex envelope of Geng and
Nair (2014). The converse bound matches the achievable sum-rate of the
Fourier-Modulated Estimate Correction strategy of Kramer (2002).Comment: 16 pages, 2 figures, published in International Symposium on
Information Theory (ISIT) 201
Multiple Access Channels with Generalized Feedback and Confidential Messages
This paper considers the problem of secret communication over a multiple
access channel with generalized feedback. Two trusted users send independent
confidential messages to an intended receiver, in the presence of a passive
eavesdropper. In this setting, an active cooperation between two trusted users
is enabled through using channel feedback in order to improve the communication
efficiency. Based on rate-splitting and decode-and-forward strategies,
achievable secrecy rate regions are derived for both discrete memoryless and
Gaussian channels. Results show that channel feedback improves the achievable
secrecy rates.Comment: To appear in the Proceedings of the 2007 IEEE Information Theory
Workshop on Frontiers in Coding Theory, Lake Tahoe, CA, September 2-6, 200
Control-theoretic Approach to Communication with Feedback: Fundamental Limits and Code Design
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.Comment: Submitted to IEEE Transactions on Automatic Contro
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