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Uncoded transmission is exactly optimal for a simple Gaussian "sensor" network

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1 Author(s)
Gastpar, M. ; Univ. of California, Berkeley

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.

Published in:

Information Theory and Applications Workshop, 2007

Date of Conference:

Jan. 29 2007-Feb. 2 2007