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Compressive Sensing (CS) shows high promise for fully distributed compression in Wireless Sensor Networks (WSNs). In theory, CS allows the approximation of the readings from a sensor field with excellent accuracy, while collecting only a small fraction of them at a data gathering point. However, the conditions under which CS performs well are not necessarily met in practice. CS requires a suitable transformation that makes the signal sparse in its domain. Also, the transformation of the data given by the routing protocol and network topology and the sparse representation of the signal has to be incoherent, which is not straightforward to achieve in real networks.
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