Abstract
This letter considers an energy consumption minimization problem of duty-cycled wireless sensors which are associated with a central controller, say an access point (AP), in a single-hoped synchronous wireless sensor network (WSN). The cost function we propose consists of the energy consumed during periodic wake-ups for wireless sensors to check a beacon frame from the AP and the one consumed for them to receive packets waiting in the AP's queue. This letter provides an optimal sleep interval as a closed form solution of minimizing energy consumption, which is expressed as mean packet inter-arrival times, mean packet transmission times over erroneous wireless channel, and power consumption at each wake-up and a packet transmission.
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