Linear-feedback MAC-BC duality for correlated BC-noises, and iterative coding

In this paper, we show that for the two-user Gaussian broadcast channel with correlated noises and perfect feedback the largest region that can be achieved by linear-feedback schemes equals the largest region that can be achieved over a dual multi-access channel when in this latter the channel input...

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Bibliographic Details
Published in:2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton) pp. 1502 - 1509
Main Authors: Amor, Selma Belhadj, Wigger, Michele
Format: Conference Proceeding
Language:English
Published: IEEE 01.09.2015
Subjects:
Control theory
Correlation
Decoding
Encoding
Receivers
Transmitters
Online Access:Get full text
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Summary:In this paper, we show that for the two-user Gaussian broadcast channel with correlated noises and perfect feedback the largest region that can be achieved by linear-feedback schemes equals the largest region that can be achieved over a dual multi-access channel when in this latter the channel inputs are subject to a "non-standard" sum-power constraint that depends on the BC-noise correlation. Combining this new duality result with Ozarow's MAC-scheme gives us an elegant achievable region for the Gaussian BC with correlated noises. We then present a constructive iterative coding scheme for the non-symmetric Gaussian BC with uncorrelated noises that is sum-rate optimal among all linear-feedback schemes. This coding scheme shows that the connection between the MAC and the BC optimal schemes is tighter than what is suggested by our duality result on achievable rates. In fact, it is linear-feedback sum-rate optimal to use Ozarow MAC-encoders and MAC-decoders- rearranged-to code over the BC.
DOI:10.1109/ALLERTON.2015.7447187