Uncoded transmission is exactly optimal for a simple Gaussian "sensor" network
Gastpar, M.
Univ. of California, Berkeley;
This paper appears in: Information Theory and Applications Workshop, 2007
Publication Date: Jan. 29 2007-Feb. 2 2007
On page(s): 177-182
Location: La Jolla, CA,
ISBN: 978-0-615-15314-8
INSPEC Accession Number: 9642850
Digital Object Identifier: 10.1109/ITA.2007.4357577
Current Version Published: 2007-10-22
Abstract
One of the simplest sensor network models has one single underlying Gaussian source of interest, observed by many sensors, subject to independent Gaussian observation noise. The sensors communicate over a standard Gaussian multiple-access channel to a fusion center whose goal is to estimate the underlying source with respect to mean-squared error. In this note, a theorem of Witsenhausen is shown to imply that an optimal communication strategy is uncoded transmission, i.e., each sensors' channel input is merely a scaled version of its noisy observation.
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