The Capacity Region of the Three Receiver Less Noisy Broadcast Channel

We determine the capacity region of a 3-receiver less noisy broadcast channel. The difficulty in extending the two-receiver result to three-receivers involves extending the Csiszar-sum lemma to three or more sequences, a standard difficulty in this area. In this work we bypass the difficulty by usin...

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Bibliographic Details
Published in:IEEE transactions on information theory 2011-07, Vol.57 (7), p.4058-4062
Main Authors: Nair, Chandra, Wang, Zizhou Vincent
Format: Article
Language:English
Subjects:
Applied sciences
Broadcast channel
capacity region
Coding, codes
Communication channels
Decoding
Electric noise
Encoding
Exact sciences and technology
Information theory
Information, signal and communications theory
less noisy
Markov processes
Noise measurement
Random variables
Receivers
Receivers & amplifiers
Signal and communications theory
superposition coding
Telecommunications and information theory
three receivers
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Summary:We determine the capacity region of a 3-receiver less noisy broadcast channel. The difficulty in extending the two-receiver result to three-receivers involves extending the Csiszar-sum lemma to three or more sequences, a standard difficulty in this area. In this work we bypass the difficulty by using a new information inequality, for less noisy receivers, that is employed in the converse. We also generalize our result to obtain the capacity region for a class of less noisy receivers.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2011.2145970