NDLI: Sending a Bivariate Gaussian Source Over a Gaussian MAC With Feedback

Content Provider	IEEE Xplore Digital Library
Author	Lapidoth, A. Tinguely, S.
Copyright Year	1963
Abstract	We study the power-versus-distortion tradeoff for the transmission of a memoryless bivariate Gaussian source over a two-to-one Gaussian multiple-access channel with perfect causal feedback. In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Gaussian source as well as the feedback from the channel output of the previous time-instants. Based on the observed source sequence and the feedback, each transmitter then describes its source component to the common receiver via an average-power constrained Gaussian multiple-access channel. From the resulting channel output, the receiver wishes to reconstruct each source component with the least possible expected squared-error distortion. We study the set of distortion pairs that can be achieved by the receiver on the two source components. We present sufficient conditions and necessary conditions for the achievability of a distortion pair. These conditions are expressed in terms of the source correlation and of the signal-to-noise ratio (SNR) of the channel. In several cases the necessary conditions and sufficient conditions are shown to agree. In particular, we show that if the channel SNR is below a certain threshold, then an uncoded transmission scheme that ignores the feedback is optimal. Thus, below this SNR-threshold, feedback is useless. We also derive the optimal high-SNR asymptotics.
Sponsorship	IEEE Information Theory Society
Starting Page	1852
Ending Page	1864
Page Count	13
File Size	273595
File Format	PDF
ISSN	00189448
Volume Number	56
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Transmitters Sufficient conditions Output feedback Information technology Gaussian channels Information theory Signal to noise ratio H infinity control Covariance matrix uncoded transmission Achievable distortion combined source-channel coding correlated sources feedback Gaussian multiple-access channel with feedback Gaussian source mean squared-error distortion multiple-access channel with feedback
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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