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.
Keywords: Cut-set bound , joint source-channel coding , maximum correlation coefficient , source-channel separation theorem, Application software , Communication standards , Decoding , Digital communication , Engineering profession , Gaussian noise , Information theory , Random variables , Sensor fusion , Telecommunication network reliability
Record created on 2012-06-04, modified on 2016-08-09