Density control is of great relevance for wireless sensor networks monitoring hazardous applications where sensors are deployed\r\nwith high density. Due to the multihop relay communication and many-to-one traffic characters in wireless sensor networks, the\r\nnodes closer to the sink tend to die faster, causing a bottleneck for improving the network lifetime. In this paper, the theoretical\r\naspects of the network load and the node density are investigated systematically. And then, the accessibility condition to satisfy that\r\nall the working sensors exhaust their energy with the same ratio is proved. By introducing the concept of the equivalent sensing\r\nradius, a novel algorithm for density control to achieve balanced energy consumption per node is thus proposed. Different from\r\nother methods in the literature, a new pixel-based transmission mechanism is adopted, to reduce the duplication of the same\r\nmessages. Combined with the accessibility condition, nodes on different energy layers are activated with a nonuniform distribution,\r\nso as to balance the energy depletion and enhance the survival of the network effectively. Extensive simulation results are\r\npresented to demonstrate the effectiveness of our algorithm.
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