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On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI

Department of ECE, University of Manitoba, Winnipeg, MB R3T 5V6, Canada
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Entropy 2019, 21(10), 992; https://doi.org/10.3390/e21100992
Received: 2 August 2019 / Revised: 14 September 2019 / Accepted: 9 October 2019 / Published: 11 October 2019
(This article belongs to the Section Information Theory, Probability and Statistics)
This paper investigates the minimum mean square error (MMSE) of communicating a pair of Gaussian sources over a a bandwidth-matched Gaussian multiple-access channel with block Rayleigh fading in the absence of channel state information (CSI) at the transmitters. The achievable MMSE is not known. To this end, we derive several upper-bounds to the minimum achievable average MMSE as a function of the transmitter powers, the average channel fading power-to-noise ratio, and the correlation coefficient of the two sources. To derive nontrivial upper bounds which improve on those of separate source-channel coding and uncoded transmission, we incorporate ideas from joint source-channel coding and hybrid digital–analog coding to construct specific coding schemes for which the achievable MMSE can be determined. View Full-Text
Keywords: Gaussian sources; multiple-access channel; Rayleigh fading; channel-state information; joint source-channel coding; uncoded transmission Gaussian sources; multiple-access channel; Rayleigh fading; channel-state information; joint source-channel coding; uncoded transmission
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Illangakoon, C.; Yahampath, P. On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI. Entropy 2019, 21, 992.

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