Article

# Capacity Region of the Finite-State Multiple-Access Channel With and Without Feedback

Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva

IEEE Transactions on Information Theory (Impact Factor: 2.65). 07/2009; DOI: 10.1109/TIT.2009.2018346 Source: IEEE Xplore

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**ABSTRACT:**In this paper, we derive the capacity regions of a continuous-time white Gaussian multiple access channel with/without feedback, a continuous-time white Gaussian interference channel without feedback and a continuous-time white Gaussian broadcast channel without feedback. These "complete" results stand in stark contrast to the status quo of network information theory in discrete-time, where the capacity regions of the all the above-mentioned channels are known only for a handful of special scenarios.01/2014; - [Show abstract] [Hide abstract]

**ABSTRACT:**A single-letter characterization is provided for the capacity region of finite-state multiple access channels using directed information. The channel state is a Markov process, the transmitters have access to delayed state information, and channel state information is available at the receiver. The delays of the channel state information are assumed to be asymmetric at the transmitters. We obtain the capacity region by innovative way, using a multi-letter expression for the capacity region of finite-state MAC with time-invariant feedback. Index Terms—Capacity region, Delayed feedback, Directed informa- tion, Finite-state channel, Multiple-Access channel.01/2011; -
##### Conference Paper: An interpretation of the Cover and Leung capacity region for the MAC with feedback through stochastic control

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**ABSTRACT:**We consider the problem of communication over a multiple access channel (MAC) with noiseless feedback. A single-letter characterization of the capacity of this channel is not currently known in general. We formulate the MAC with feedback capacity problem as a stochastic control problem for a special class of channels for which the capacity is known to be the single-letter expression given by Cover and Leung. This approach has been recently successful in finding channel capacity for point-to-point channels with noiseless feedback but has not yet been fruitful in the study of multi-user communication systems. Our interpretation provides an understanding of the role of auxiliary random variables and can also hint at on-line capacity-achieving transmission schemes.Communications (ICC), 2012 IEEE International Conference on; 01/2012

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