Finite-length linear schemes for joint source-channel coding over Gaussian broadcast channels with feedback

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Title: Finite-length linear schemes for joint source-channel coding over Gaussian broadcast channels with feedback
Authors: Murin, Y
Kaspi, Y
Dabora, R
Gunduz, D
Item Type: Journal Article
Abstract: We study linear encoding for a pair of correlated Gaussian sources transmitted over a two-user Gaussian broadcast channel in the presence of unit-delay noiseless feedback, abbre- viated as the GBCF. Each pair of source samples is transmitted using a linear transmission scheme in a finite number of channel uses. We investigate three linear transmission schemes: A scheme based on the Ozarow-Leung (OL) code, a scheme based on the linear quadratic Gaussian (LQG) code of Ardestanizadeh et al., and a novel scheme derived in this work using a dynamic programming (DP) approach. For the OL and LQG schemes we present lower and upper bounds on the minimal number of channel uses needed to achieve a target mean-square error (MSE) pair. For the LQG scheme in the symmetric setting, we identify the optimal scaling of the sources, which results in a significant improvement of its finite horizon performance, and, in addition, characterize the (exact) minimal number of channel uses required to achieve a target MSE. Finally, for the symmetric setting, we show that for any fixed and finite number of channel uses, the DP scheme achieves an MSE lower than the MSE achieved by either the LQG or the OL schemes.
Issue Date: 7-Mar-2017
Date of Acceptance: 17-Feb-2017
ISSN: 0018-9448
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Start Page: 2737
End Page: 2772
Journal / Book Title: IEEE Transactions on Information Theory
Volume: 63
Issue: 5
Copyright Statement: © 2017 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See for more information.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 677854
Keywords: Science & Technology
Computer Science, Information Systems
Engineering, Electrical & Electronic
Computer Science
channel coding
feedback communications
Gaussian channels
source coding
Networking & Telecommunications
0801 Artificial Intelligence And Image Processing
0906 Electrical And Electronic Engineering
1005 Communications Technologies
Publication Status: Published
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering

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