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This paper addresses the problem of estimating a random field via a wireless sensor network. The paper uses a Multiple Access Channel (MAC) as the basic building block for such a network. For Gaussian sources over Gaussian MACs, the paper shows that Amplify and Forward scheme (AF) performs well in such sensor network scenarios where the battery power is at a premium. The paper then extends this result to the hierarchical network scenario and show that it can perform favourably to the Slepian-Wolf based source coding and independent channel coding scheme. Since AF is simple and scalable, a good performance makes it an attractive scheme.
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