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In decentralized detection, local sensor observations have to be communicated to a fusion center through the wireless medium, inherently a Multiple-Access Channel (MAC). As communication is bandwidth- and energy-constrained, it has been suggested to use the properties of the MAC to combine the sensor observations directly on the channel. Although this leads to an array-processing gain if the sensors' transmissions combine coherently on the channel, it has been shown that this is not the case when they combine non-coherently.
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