| Summary: | The wireless sensor networks is a new technology for information acquisition and processing, which includes the techniques of sensor, computer, Internet of Things and network. Due to the fragility of wireless sensor networks, the security issue has become a prevalent concern in the wireless communication for Internet of Things. This paper offers a deep insight to the secrecy capacity of wireless sensor network and a calculable threshold of capacity based on the amplify-and-forward (AF) compressed sensing scheme. Moreover, we provide a feasible algorithm based on augmented Lagrange method for source reconstruction for the legitimate nodes and un-authorized nodes. Furthermore, we also discuss the impact of the numbers of active sensor nodes, relay nodes and eavesdropper nodes to the secrecy capacity. Simulation results demonstrate the correctness of the derived secrecy capacity.
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