Uncoded transmission is exactly optimal for a simple Gaussian sensor network

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.


Published in:
IEEE Transactions on Information Theory, 54, 11, 5247-5251
Year:
2008
Publisher:
Institute of Electrical and Electronics Engineers
ISSN:
0018-9448
Keywords:
Laboratories:




 Record created 2012-06-04, last modified 2018-03-17


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