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The -constrained minimal singular value of the sensing matrix for sparse signal recovery is investigated in this letter. By exploiting certain geometrical properties of the , we derive new sufficient conditions for the recovery of both exactly and approximately sparse signals. Moreover, we demonstrate that a class of structured random matrices, including...
We present a solid study on the performance of a homological sensor network in partial sensing coverage, which means the network has at least one sensing coverage hole and we demonstrate that when sacrificing a little coverage the system lifetime can be prolonged significantly. In particular, we showed that when there is one sensing coverage hole (with a coverage rate of 97%) the system lifetime can...
One fundamental feature of sensor network is unpredictable and this brings us a challenge of how to design an adaptation mechanism to let a sensor network adjust itself based on current "context" and pre-defined network criteria which include coverage density, fault tolerance, system life and so on. The key idea of our work is, based on calculation of nodes coverage, we can let networks...
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