Uncoded Transmission Is Exactly Optimal for a Simple Gaussian “Sensor” Network
Gastpar, M.
Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA;
This paper appears in: Information Theory, IEEE Transactions on
Publication Date: Nov. 2008
Volume: 54,
Issue: 11
On page(s): 5247-5251
ISSN: 0018-9448
INSPEC Accession Number: 10299635
Digital Object Identifier: 10.1109/TIT.2008.929967
Current Version Published: 2008-10-21
Abstract
A single memoryless Gaussian source is observed by many terminals, subject to independent Gaussian observation noises. The terminals are linked to a fusion center via a standard Gaussian multiple-access channel. The fusion center needs to recover the underlying Gaussian source with respect to mean-squared error. In this correspondence, a theorem of Witsenhausen is shown to imply that an optimal communication strategy is uncoded transmission, i.e., each terminal's channel input is merely a scaled version of its noisy observation.
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