Calculation of the Duty Cycle for BECA

Consumption of energy is one of the major problems in wireless sensor network, as sensor nodes driven on battery power. Therefore, it is intended to minimize the power consumption by putting the wireless interface of the sensor nodes in low power sleep mode. Wireless sensor networks constructed with hundreds and thousands of wireless sensor nodes and they deployed to solve different problems of our life. Therefore, design solutions for reduced resource consumption of wireless nodes have a remarkable impact in green network setup. Probability of each state has to be determined to analyze the energy consumption in duty cycle. In this paper steady state probability of sensor nodes are analyzed and derived, i.e., sleep, listen, and active states, in terms of traffic characteristics and timer values, i.e., sleep timer, listen timer, and active timer. This work can be a guideline for appropriate timer selection for sensor network can be achieved for efficient energy conservation and the methodology developed here can lead to other duty cycle based energy conservation schemes with different sensor nodes. General Terms Sensor network; energy conservation; duty cycling; state probabilit