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, 5247-5251
Presented at:
IEEE Information Theory and Applications Workshop, San Diego, CA, Jan, 2007
Year:
2008
Keywords:
Laboratories:




 Record created 2011-10-17, last modified 2018-09-13


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