Lossy coding of correlated sources over a multiple access channel: necessary conditions and separation results
File(s)GGY_IT18.pdf (469.19 KB)
Accepted version
Author(s)
Guler, B
Gunduz, D
Yener, A
Type
Journal Article
Abstract
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.
Date Issued
2018-09-01
Date Acceptance
2018-05-19
ISSN
0018-9448
Publisher
Institute of Electrical and Electronics Engineers
Start Page
6081
End Page
6097
Journal / Book Title
IEEE Transactions on Information Theory
Volume
64
Issue
9
Copyright Statement
© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Source Database
manual-entry
Sponsor
Commission of the European Communities
Grant Number
677854
Subjects
Science & Technology
Technology
Computer Science, Information Systems
Engineering, Electrical & Electronic
Computer Science
Engineering
Common information
conditional independence
hybrid coding
joint source and channel coding
multiple access channel
rate-distortion theory
separation theorem
RATE-DISTORTION FUNCTION
SIDE INFORMATION
COMMUNICATION
DECODER
0801 Artificial Intelligence and Image Processing
0906 Electrical and Electronic Engineering
1005 Communications Technologies
Networking & Telecommunications
Publication Status
Published
Date Publish Online
2018-06-07