Description: Sensor network consists of a large number of micro sensor nodes energy co., LTD. As a result, how to ensure the enough to cover the monitoring area while prolonging the life of the network, is an important problem to solve. In order to achieve this goal, a widely used strategy is to select the part can be enough to cover monitoring node as a work area, and close the other redundant nodes. A mathematical model is put forward, make known as long as the monitoring scope and the ratio of radius of node perception, short service quality expectations can be calculated the number of nodes needed. It should be pointed out that: unlike covered most of the research literature, the research is not based on the position information of nodes, thus can greatly reduce the hardware cost, and reduces the overhead of node to obtain and maintain the location information. Simulation experimental results show that under the condition of random deployment, quality of service expectation and experiment to get the actual coverage error is not more than 2% of the service quality expectations for the same service quality expectations and the actual coverage, compute the number of working nodes and experiment of the proceeds of the work node number of the error is less than the amount of 5%, indicating that the number of nodes is deduced and the relationship between the service quality expectations coincide with the results of simulation experiments. The results can be widely used in the sensor network node deployment, topology control, etc.
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