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Coverage preservation and prolonging lifetime are the fundamental issues in Clustered Wireless Sensor Networks. Sensor nodes have limited power, computational capabilities and memory. Sensing, transmitting and receiving activities consume battery energy of a sensor, and also limit the network lifetime. Applying the identity based cryptography in CWSN ensures only security and it leads to quick energy drain. To save energy, it should be necessary to schedule the sensor activity such that to allow redundant sensors to enter the sleep mode as often and for as long as possible. The statute of all the deployed sensors should be determined to be either active or sleep based on their capabilities as well as the state durations, such that the network lifetime is maximized. Cluster-based efficient-energy coverage scheme called CSA is proposed to ensure the full coverage of a monitored area while saving energy. CSA uses a sensor scheduling scheme based on the k-density and the remaining energy of each sensor to determine the state of all the deployed sensors as well as the state durations. It aims to provide a better performance in terms of the energy consumption and network lifetime.