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In this paper, the authors address the problem of distributed transmission of functions of correlated sources over a fast fading Multiple Access Channel (MAC). This is a basic building block in a hierarchical sensor network used in estimating a random field where the cluster head is interested only in estimating a function of the observations. The observations are transmitted to the cluster head through a fast fading MAC. They provide sufficient conditions for lossy transmission when the encoders and decoders are provided with partial information about the channel state. Furthermore signal side information may be available at the encoders and the decoder. Various previous studies are shown as special cases.
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