Lossy Coding of Correlated Sources Over a Multiple Access Channel: Necessary Conditions and Separation Results

Lossy coding of correlated sources over a multiple access channel (MAC) is studied. First, a joint source-channel coding scheme is presented when the decoder has correlated side information. Next, the optimality of separate source and channel coding that emerges from the availability of a common obs...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 64; no. 9; pp. 6081 - 6097
Main Authors: Guler, Basak, Gunduz, Deniz, Yener, Aylin
Format: Journal Article
Language:English
Published: New York IEEE 01.09.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Channel coding
Coders
Coding
Common information
Communication channels
conditional independence
Conditioning
Decoding
Distortion
Electric noise
hybrid coding
joint source and channel coding
Multiple access
multiple access channel
Optimization
rate-distortion theory
Separation
separation theorem
Switches
Zinc
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:Lossy coding of correlated sources over a multiple access channel (MAC) is studied. First, a joint source-channel coding scheme is presented when the decoder has correlated side information. Next, the optimality of separate source and channel coding that emerges from the availability of a common observation at the encoders or side information at the encoders and the decoder is investigated. It is shown that separation is optimal when the encoders have access to a common observation whose lossless recovery is required at the decoder, and the two sources are independent conditioned on this common observation. Optimality of separation is also proved when the encoder and the decoder have access to shared side information conditioned on which the two sources are independent. These separation results obtained in the presence of side information are then utilized to provide a set of necessary conditions for the transmission of correlated sources over a MAC without side information. Finally, by specializing the obtained necessary conditions to the transmission of binary and Gaussian sources over a MAC, it is shown that they can potentially be tighter than the existing results in the literature, providing a novel converse for this fundamental problem.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2018.2844833