Multiterminal source-channel communication over an orthogonal multiple-access channel

Jin Jun Xiao; Zhi Quan Luo

doi:10.1109/TIT.2007.903142

Multiterminal source-channel communication over an orthogonal multiple-access channel

Jin Jun Xiao, Zhi Quan Luo

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

We consider the problem of multiterminal source-channel communication where a number of distributed and possibly correlated sources are transmitted through an orthogonal multiple access channel to a common destination. We provide a characterization of the optimal tradeoff between the transmission cost Γ and the distortion vector D as measured against individual sources. Our approach consists of two steps: 1) a multiple-letter characterization of the rate-distortion region of the multiterminal source coding and 2) a source-channel separation theorem ensuring that all achievable pairs of (Γ, D) can be obtained by combining the rate-distortion region and the orthogonal multiple access channel capacity region. As a corollary, we determine the optimal power and distortion tradeoff in a quadratic Gaussian sensor network under orthogonal multiple access, and show that separate source and channel coding strictly outperforms the uncoded (amplify-forward) transmission, and is in fact optimal in this case. This result is in sharp contrast to the case of nonorthogonal multiple access for which separate source and channel coding is not only suboptimal but also strictly inferior to uncoded transmission.

Original language	English (US)
Pages (from-to)	3255-3264
Number of pages	10
Journal	IEEE Transactions on Information Theory
Volume	53
Issue number	9
DOIs	https://doi.org/10.1109/TIT.2007.903142
State	Published - 2007

Bibliographical note

Funding Information:
Manuscript received November 8, 2005; revised February 27, 2007. This work was supported in part by the National Science Foundation under Grant DMS-0610037 and by the USDOD ARMY under Grant W911NF-05-1-0567. The authors are with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455 USA (e-mail: xiao@ece. umn.edu; luozq@ece.umn.edu). Communicated by R. R. Müller, Associate Editor for Communications. Color versions of Figures 1–3, 5, and 6 in this correspondence are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2007.903142

Keywords

Gaussian sensor networks
Multiterminal source coding
Rate-distortion region
Source-channel separation theorem
Uncoded transmission

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abstract = "We consider the problem of multiterminal source-channel communication where a number of distributed and possibly correlated sources are transmitted through an orthogonal multiple access channel to a common destination. We provide a characterization of the optimal tradeoff between the transmission cost Γ and the distortion vector D as measured against individual sources. Our approach consists of two steps: 1) a multiple-letter characterization of the rate-distortion region of the multiterminal source coding and 2) a source-channel separation theorem ensuring that all achievable pairs of (Γ, D) can be obtained by combining the rate-distortion region and the orthogonal multiple access channel capacity region. As a corollary, we determine the optimal power and distortion tradeoff in a quadratic Gaussian sensor network under orthogonal multiple access, and show that separate source and channel coding strictly outperforms the uncoded (amplify-forward) transmission, and is in fact optimal in this case. This result is in sharp contrast to the case of nonorthogonal multiple access for which separate source and channel coding is not only suboptimal but also strictly inferior to uncoded transmission.",

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author = "Xiao, {Jin Jun} and Luo, {Zhi Quan}",

note = "Funding Information: Manuscript received November 8, 2005; revised February 27, 2007. This work was supported in part by the National Science Foundation under Grant DMS-0610037 and by the USDOD ARMY under Grant W911NF-05-1-0567. The authors are with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455 USA (e-mail: xiao@ece. umn.edu; luozq@ece.umn.edu). Communicated by R. R. M{\"u}ller, Associate Editor for Communications. Color versions of Figures 1–3, 5, and 6 in this correspondence are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2007.903142",

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N2 - We consider the problem of multiterminal source-channel communication where a number of distributed and possibly correlated sources are transmitted through an orthogonal multiple access channel to a common destination. We provide a characterization of the optimal tradeoff between the transmission cost Γ and the distortion vector D as measured against individual sources. Our approach consists of two steps: 1) a multiple-letter characterization of the rate-distortion region of the multiterminal source coding and 2) a source-channel separation theorem ensuring that all achievable pairs of (Γ, D) can be obtained by combining the rate-distortion region and the orthogonal multiple access channel capacity region. As a corollary, we determine the optimal power and distortion tradeoff in a quadratic Gaussian sensor network under orthogonal multiple access, and show that separate source and channel coding strictly outperforms the uncoded (amplify-forward) transmission, and is in fact optimal in this case. This result is in sharp contrast to the case of nonorthogonal multiple access for which separate source and channel coding is not only suboptimal but also strictly inferior to uncoded transmission.

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Multiterminal source-channel communication over an orthogonal multiple-access channel

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